diff --git a/404.html b/404.html index fbe1a464..c9109e40 100644 --- a/404.html +++ b/404.html @@ -214,7 +214,7 @@ document.addEventListener("DOMContentLoaded", () => init()); document.addEventListener("astro:after-swap", () => init()); preloadTheme(); -
rezvan.xyz

404: Page not found diff --git a/_astro/_subject_.CmU_Tg_r.css b/_astro/_subject_.CmU_Tg_r.css deleted file mode 100644 index 2d7e7f20..00000000 --- a/_astro/_subject_.CmU_Tg_r.css +++ /dev/null @@ -1 +0,0 @@ -*,:before,:after{box-sizing:border-box;border-width:0;border-style:solid;border-color:#e5e7eb}:before,:after{--tw-content: ""}html,:host{line-height:1.5;-webkit-text-size-adjust:100%;-moz-tab-size:4;-o-tab-size:4;tab-size:4;font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";font-feature-settings:normal;font-variation-settings:normal;-webkit-tap-highlight-color:transparent}body{margin:0;line-height:inherit}hr{height:0;color:inherit;border-top-width:1px}abbr:where([title]){-webkit-text-decoration:underline dotted;text-decoration:underline dotted}h1,h2,h3,h4,h5,h6{font-size:inherit;font-weight:inherit}a{color:inherit;text-decoration:inherit}b,strong{font-weight:bolder}code,kbd,samp,pre{font-family:Geist Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,monospace;font-feature-settings:normal;font-variation-settings:normal;font-size:1em}small{font-size:80%}sub,sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}table{text-indent:0;border-color:inherit;border-collapse:collapse}button,input,optgroup,select,textarea{font-family:inherit;font-feature-settings:inherit;font-variation-settings:inherit;font-size:100%;font-weight:inherit;line-height:inherit;letter-spacing:inherit;color:inherit;margin:0;padding:0}button,select{text-transform:none}button,input:where([type=button]),input:where([type=reset]),input:where([type=submit]){-webkit-appearance:button;background-color:transparent;background-image:none}:-moz-focusring{outline:auto}:-moz-ui-invalid{box-shadow:none}progress{vertical-align:baseline}::-webkit-inner-spin-button,::-webkit-outer-spin-button{height:auto}[type=search]{-webkit-appearance:textfield;outline-offset:-2px}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{-webkit-appearance:button;font:inherit}summary{display:list-item}blockquote,dl,dd,h1,h2,h3,h4,h5,h6,hr,figure,p,pre{margin:0}fieldset{margin:0;padding:0}legend{padding:0}ol,ul,menu{list-style:none;margin:0;padding:0}dialog{padding:0}textarea{resize:vertical}input::-moz-placeholder,textarea::-moz-placeholder{opacity:1;color:#9ca3af}input::placeholder,textarea::placeholder{opacity:1;color:#9ca3af}button,[role=button]{cursor:pointer}:disabled{cursor:default}img,svg,video,canvas,audio,iframe,embed,object{display:block;vertical-align:middle}img,video{max-width:100%;height:auto}[hidden]{display:none}*,:before,:after{--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgb(59 130 246 / .5);--tw-ring-offset-shadow: 0 0 #0000;--tw-ring-shadow: 0 0 #0000;--tw-shadow: 0 0 #0000;--tw-shadow-colored: 0 0 #0000;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;--tw-contain-size: ;--tw-contain-layout: ;--tw-contain-paint: ;--tw-contain-style: }::backdrop{--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgb(59 130 246 / .5);--tw-ring-offset-shadow: 0 0 #0000;--tw-ring-shadow: 0 0 #0000;--tw-shadow: 0 0 #0000;--tw-shadow-colored: 0 0 #0000;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;--tw-contain-size: ;--tw-contain-layout: ;--tw-contain-paint: ;--tw-contain-style: }.container{width:100%}@media (min-width: 640px){.container{max-width:640px}}@media (min-width: 768px){.container{max-width:768px}}@media (min-width: 1024px){.container{max-width:1024px}}@media (min-width: 1280px){.container{max-width:1280px}}@media (min-width: 1536px){.container{max-width:1536px}}.prose{color:var(--tw-prose-body);max-width:65ch}.prose :where(p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}.prose :where([class~=lead]):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-lead);font-size:1.25em;line-height:1.6;margin-top:1.2em;margin-bottom:1.2em}.prose :where(a):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-links);text-decoration:underline;font-weight:500}.prose :where(strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-bold);font-weight:600}.prose :where(a strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(blockquote strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(thead th strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(ol):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}.prose :where(ol[type=A]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}.prose :where(ol[type=a]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}.prose :where(ol[type=A s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}.prose :where(ol[type=a s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}.prose :where(ol[type=I]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}.prose :where(ol[type=i]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}.prose :where(ol[type=I s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}.prose :where(ol[type=i s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}.prose :where(ol[type="1"]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal}.prose :where(ul):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:disc;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}.prose :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{font-weight:400;color:var(--tw-prose-counters)}.prose :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{color:var(--tw-prose-bullets)}.prose :where(dt):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.25em}.prose :where(hr):not(:where([class~=not-prose],[class~=not-prose] *)){border-color:var(--tw-prose-hr);border-top-width:1px;margin-top:3em;margin-bottom:3em}.prose :where(blockquote):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-style:italic;color:var(--tw-prose-quotes);border-inline-start-width:.25rem;border-inline-start-color:var(--tw-prose-quote-borders);quotes:"“""”""‘""’";margin-top:1.6em;margin-bottom:1.6em;padding-inline-start:1em}.prose :where(blockquote p:first-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:open-quote}.prose :where(blockquote p:last-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:close-quote}.prose :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:800;font-size:2.25em;margin-top:0;margin-bottom:.8888889em;line-height:1.1111111}.prose :where(h1 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:900;color:inherit}.prose :where(h2):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:700;font-size:1.5em;margin-top:2em;margin-bottom:1em;line-height:1.3333333}.prose :where(h2 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:800;color:inherit}.prose :where(h3):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;font-size:1.25em;margin-top:1.6em;margin-bottom:.6em;line-height:1.6}.prose :where(h3 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}.prose :where(h4):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.5em;margin-bottom:.5em;line-height:1.5}.prose :where(h4 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}.prose :where(img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(picture):not(:where([class~=not-prose],[class~=not-prose] *)){display:block;margin-top:2em;margin-bottom:2em}.prose :where(video):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(kbd):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-family:inherit;color:var(--tw-prose-kbd);box-shadow:0 0 0 1px rgb(var(--tw-prose-kbd-shadows) / 10%),0 3px rgb(var(--tw-prose-kbd-shadows) / 10%);font-size:.875em;border-radius:.3125rem;padding-top:.1875em;padding-inline-end:.375em;padding-bottom:.1875em;padding-inline-start:.375em}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-code);font-weight:600;font-size:.875em}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:"`"}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:"`"}.prose :where(a code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(h1 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(h2 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.875em}.prose :where(h3 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.9em}.prose :where(h4 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(blockquote code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(thead th code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(pre):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-pre-code);background-color:var(--tw-prose-pre-bg);overflow-x:auto;font-weight:400;font-size:.875em;line-height:1.7142857;margin-top:1.7142857em;margin-bottom:1.7142857em;border-radius:.375rem;padding-top:.8571429em;padding-inline-end:1.1428571em;padding-bottom:.8571429em;padding-inline-start:1.1428571em}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)){background-color:transparent;border-width:0;border-radius:0;padding:0;font-weight:inherit;color:inherit;font-size:inherit;font-family:inherit;line-height:inherit}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:none}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:none}.prose :where(table):not(:where([class~=not-prose],[class~=not-prose] *)){width:100%;table-layout:auto;text-align:start;margin-top:2em;margin-bottom:2em;font-size:.875em;line-height:1.7142857}.prose :where(thead):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-th-borders)}.prose :where(thead th):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;vertical-align:bottom;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}.prose :where(tbody tr):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-td-borders)}.prose :where(tbody tr:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:0}.prose :where(tbody td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:baseline}.prose :where(tfoot):not(:where([class~=not-prose],[class~=not-prose] *)){border-top-width:1px;border-top-color:var(--tw-prose-th-borders)}.prose :where(tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:top}.prose :where(figure>*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}.prose :where(figcaption):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-captions);font-size:.875em;line-height:1.4285714;margin-top:.8571429em}.prose{--tw-prose-body: #374151;--tw-prose-headings: #111827;--tw-prose-lead: #4b5563;--tw-prose-links: #111827;--tw-prose-bold: #111827;--tw-prose-counters: #6b7280;--tw-prose-bullets: #d1d5db;--tw-prose-hr: #e5e7eb;--tw-prose-quotes: #111827;--tw-prose-quote-borders: #e5e7eb;--tw-prose-captions: #6b7280;--tw-prose-kbd: #111827;--tw-prose-kbd-shadows: 17 24 39;--tw-prose-code: #111827;--tw-prose-pre-code: #e5e7eb;--tw-prose-pre-bg: #1f2937;--tw-prose-th-borders: #d1d5db;--tw-prose-td-borders: #e5e7eb;--tw-prose-invert-body: #d1d5db;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #9ca3af;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #9ca3af;--tw-prose-invert-bullets: #4b5563;--tw-prose-invert-hr: #374151;--tw-prose-invert-quotes: #f3f4f6;--tw-prose-invert-quote-borders: #374151;--tw-prose-invert-captions: #9ca3af;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d1d5db;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #4b5563;--tw-prose-invert-td-borders: #374151;font-size:1rem;line-height:1.75}.prose :where(picture>img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}.prose :where(li):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;margin-bottom:.5em}.prose :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}.prose :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}.prose :where(.prose>ul>li p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}.prose :where(.prose>ul>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}.prose :where(.prose>ul>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}.prose :where(.prose>ol>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}.prose :where(.prose>ol>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}.prose :where(ul ul,ul ol,ol ul,ol ol):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}.prose :where(dl):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}.prose :where(dd):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;padding-inline-start:1.625em}.prose :where(hr+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h2+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h3+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h4+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(thead th:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}.prose :where(thead th:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}.prose :where(tbody td,tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){padding-top:.5714286em;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}.prose :where(tbody td:first-child,tfoot td:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}.prose :where(tbody td:last-child,tfoot td:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}.prose :where(figure):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(.prose>:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(.prose>:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:0}.pointer-events-none{pointer-events:none}.visible{visibility:visible}.invisible{visibility:hidden}.static{position:static}.fixed{position:fixed}.absolute{position:absolute}.relative{position:relative}.-top-12{top:-3rem}.left-0{left:0}.left-2{left:.5rem}.right-0{right:0}.right-2{right:.5rem}.top-0{top:0}.top-1\/2{top:50%}.isolate{isolation:isolate}.z-50{z-index:50}.m-0{margin:0}.mx-auto{margin-left:auto;margin-right:auto}.my-10{margin-top:2.5rem;margin-bottom:2.5rem}.my-4{margin-top:1rem;margin-bottom:1rem}.mb-6{margin-bottom:1.5rem}.mr-2{margin-right:.5rem}.mt-16{margin-top:4rem}.mt-24{margin-top:6rem}.line-clamp-1{overflow:hidden;display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:1}.block{display:block}.inline-block{display:inline-block}.inline{display:inline}.flex{display:flex}.table{display:table}.grid{display:grid}.contents{display:contents}.hidden{display:none}.size-4{width:1rem;height:1rem}.size-5{width:1.25rem;height:1.25rem}.size-9{width:2.25rem;height:2.25rem}.h-fit{height:-moz-fit-content;height:fit-content}.h-screen{height:100vh}.max-h-\[80\%\]{max-height:80%}.w-fit{width:-moz-fit-content;width:fit-content}.w-full{width:100%}.max-w-screen-sm{max-width:640px}.flex-1{flex:1 1 0%}.flex-grow,.grow{flex-grow:1}.-translate-x-1{--tw-translate-x: -.25rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.-translate-y-1\/2{--tw-translate-y: -50%;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-1{--tw-translate-x: .25rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-2{--tw-translate-x: .5rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-3{--tw-translate-x: .75rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.rotate-90{--tw-rotate: 90deg;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.scale-x-0{--tw-scale-x: 0;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.transform{transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.cursor-pointer{cursor:pointer}.select-none{-webkit-user-select:none;-moz-user-select:none;user-select:none}.resize{resize:both}.list-inside{list-style-position:inside}.list-disc{list-style-type:disc}.grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.flex-row-reverse{flex-direction:row-reverse}.flex-col{flex-direction:column}.flex-wrap{flex-wrap:wrap}.flex-nowrap{flex-wrap:nowrap}.place-items-center{place-items:center}.items-center{align-items:center}.justify-center{justify-content:center}.justify-between{justify-content:space-between}.gap-1{gap:.25rem}.gap-1\.5{gap:.375rem}.gap-2{gap:.5rem}.gap-3{gap:.75rem}.gap-4{gap:1rem}.gap-x-2{-moz-column-gap:.5rem;column-gap:.5rem}.gap-y-2{row-gap:.5rem}.space-y-1>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.25rem * var(--tw-space-y-reverse))}.space-y-10>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(2.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2.5rem * var(--tw-space-y-reverse))}.space-y-16>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(4rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(4rem * var(--tw-space-y-reverse))}.space-y-4>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(1rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1rem * var(--tw-space-y-reverse))}.overflow-auto{overflow:auto}.truncate{overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.text-nowrap{text-wrap:nowrap}.rounded{border-radius:.25rem}.rounded-lg{border-radius:.5rem}.rounded-t-lg{border-top-left-radius:.5rem;border-top-right-radius:.5rem}.border{border-width:1px}.border-black\/15{border-color:#00000026}.border-blue-800{--tw-border-opacity: 1;border-color:rgb(30 64 175 / var(--tw-border-opacity))}.border-orange-800{--tw-border-opacity: 1;border-color:rgb(154 52 18 / var(--tw-border-opacity))}.border-red-800{--tw-border-opacity: 1;border-color:rgb(153 27 27 / var(--tw-border-opacity))}.border-yellow-800{--tw-border-opacity: 1;border-color:rgb(133 77 14 / var(--tw-border-opacity))}.bg-black\/5{background-color:#0000000d}.bg-blue-100{--tw-bg-opacity: 1;background-color:rgb(219 234 254 / var(--tw-bg-opacity))}.bg-neutral-100{--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity))}.bg-orange-100{--tw-bg-opacity: 1;background-color:rgb(255 237 213 / var(--tw-bg-opacity))}.bg-red-100{--tw-bg-opacity: 1;background-color:rgb(254 226 226 / var(--tw-bg-opacity))}.bg-yellow-100{--tw-bg-opacity: 1;background-color:rgb(254 249 195 / var(--tw-bg-opacity))}.fill-none{fill:none}.stroke-current{stroke:currentColor}.stroke-2{stroke-width:2}.p-2{padding:.5rem}.p-3{padding:.75rem}.p-6{padding:1.5rem}.px-2{padding-left:.5rem;padding-right:.5rem}.px-3{padding-left:.75rem;padding-right:.75rem}.px-4{padding-left:1rem;padding-right:1rem}.px-6{padding-left:1.5rem;padding-right:1.5rem}.py-1{padding-top:.25rem;padding-bottom:.25rem}.py-1\.5{padding-top:.375rem;padding-bottom:.375rem}.py-3{padding-top:.75rem;padding-bottom:.75rem}.py-4{padding-top:1rem;padding-bottom:1rem}.pb-1{padding-bottom:.25rem}.pl-10{padding-left:2.5rem}.pl-7{padding-left:1.75rem}.pl-8{padding-left:2rem}.pr-10{padding-right:2.5rem}.pr-3{padding-right:.75rem}.pt-4{padding-top:1rem}.text-right{text-align:right}.text-2xl{font-size:1.5rem;line-height:2rem}.text-3xl{font-size:1.875rem;line-height:2.25rem}.text-sm{font-size:.875rem;line-height:1.25rem}.text-xs{font-size:.75rem;line-height:1rem}.font-bold{font-weight:700}.font-medium{font-weight:500}.font-semibold{font-weight:600}.uppercase{text-transform:uppercase}.lowercase{text-transform:lowercase}.text-black{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.text-blue-950{--tw-text-opacity: 1;color:rgb(23 37 84 / var(--tw-text-opacity))}.text-current{color:currentColor}.text-gray-500{--tw-text-opacity: 1;color:rgb(107 114 128 / var(--tw-text-opacity))}.text-orange-950{--tw-text-opacity: 1;color:rgb(67 20 7 / var(--tw-text-opacity))}.text-red-950{--tw-text-opacity: 1;color:rgb(69 10 10 / var(--tw-text-opacity))}.text-yellow-950{--tw-text-opacity: 1;color:rgb(66 32 6 / var(--tw-text-opacity))}.underline{text-decoration-line:underline}.no-underline{text-decoration-line:none}.decoration-black\/30{text-decoration-color:#0000004d}.underline-offset-\[3px\]{text-underline-offset:3px}.shadow-lg{--tw-shadow: 0 10px 15px -3px rgb(0 0 0 / .1), 0 4px 6px -4px rgb(0 0 0 / .1);--tw-shadow-colored: 0 10px 15px -3px var(--tw-shadow-color), 0 4px 6px -4px var(--tw-shadow-color);box-shadow:var(--tw-ring-offset-shadow, 0 0 #0000),var(--tw-ring-shadow, 0 0 #0000),var(--tw-shadow)}.outline{outline-style:solid}.ring{--tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color);--tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(3px + var(--tw-ring-offset-width)) var(--tw-ring-color);box-shadow:var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow, 0 0 #0000)}.grayscale{--tw-grayscale: grayscale(100%);filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow)}.filter{filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow)}.backdrop-blur-sm{--tw-backdrop-blur: blur(4px);-webkit-backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia)}.transition{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,-webkit-backdrop-filter;transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,backdrop-filter;transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,backdrop-filter,-webkit-backdrop-filter;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.transition-colors{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.transition-transform{transition-property:transform;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.duration-300{transition-duration:.3s}.ease-in-out{transition-timing-function:cubic-bezier(.4,0,.2,1)}article a{font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";color:currentColor;text-decoration-line:underline;text-underline-offset:3px;text-decoration-color:#0000004d}article a:is(.dark *){text-decoration-color:#ffffff4d}article a{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-duration:.3s;transition-timing-function:cubic-bezier(.4,0,.2,1)}article a:hover{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}article a:hover:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}article a:hover{text-decoration-color:#00000080}article a:hover:is(.dark *){text-decoration-color:#ffffff80}html{overflow-y:auto;color-scheme:light;scroll-padding-top:100px}html.dark{color-scheme:dark}html,body{width:100%;height:100%}body{font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;display:flex;flex-direction:column;--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity))}body:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}body{color:#000000bf}body:is(.dark *){color:#ffffffbf}header{position:fixed;left:0;right:0;top:0;z-index:50;padding-top:1.5rem;padding-bottom:1.5rem;background-color:#f5f5f5bf}header:is(.dark *){background-color:#171717bf}header{--tw-saturate: saturate(2);filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow);--tw-backdrop-blur: blur(4px);-webkit-backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia)}main{flex:1 1 0%;padding-top:8rem;padding-bottom:8rem}footer{padding-top:1.5rem;padding-bottom:1.5rem;font-size:.875rem;line-height:1.25rem}article{color:var(--tw-prose-body);max-width:65ch}article :where(p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}article :where([class~=lead]):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-lead);font-size:1.25em;line-height:1.6;margin-top:1.2em;margin-bottom:1.2em}article :where(a):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-links);text-decoration:underline;font-weight:500}article :where(strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-bold);font-weight:600}article :where(a strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(blockquote strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(thead th strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(ol):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}article :where(ol[type=A]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}article :where(ol[type=a]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}article :where(ol[type=A s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}article :where(ol[type=a s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}article :where(ol[type=I]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}article :where(ol[type=i]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}article :where(ol[type=I s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}article :where(ol[type=i s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}article :where(ol[type="1"]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal}article :where(ul):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:disc;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}article :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{font-weight:400;color:var(--tw-prose-counters)}article :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{color:var(--tw-prose-bullets)}article :where(dt):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.25em}article :where(hr):not(:where([class~=not-prose],[class~=not-prose] *)){border-color:var(--tw-prose-hr);border-top-width:1px;margin-top:3em;margin-bottom:3em}article :where(blockquote):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-style:italic;color:var(--tw-prose-quotes);border-inline-start-width:.25rem;border-inline-start-color:var(--tw-prose-quote-borders);quotes:"“""”""‘""’";margin-top:1.6em;margin-bottom:1.6em;padding-inline-start:1em}article :where(blockquote p:first-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:open-quote}article :where(blockquote p:last-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:close-quote}article :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:800;font-size:2.25em;margin-top:0;margin-bottom:.8888889em;line-height:1.1111111}article :where(h1 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:900;color:inherit}article :where(h2):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:700;font-size:1.5em;margin-top:2em;margin-bottom:1em;line-height:1.3333333}article :where(h2 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:800;color:inherit}article :where(h3):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;font-size:1.25em;margin-top:1.6em;margin-bottom:.6em;line-height:1.6}article :where(h3 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}article :where(h4):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.5em;margin-bottom:.5em;line-height:1.5}article :where(h4 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}article :where(img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(picture):not(:where([class~=not-prose],[class~=not-prose] *)){display:block;margin-top:2em;margin-bottom:2em}article :where(video):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(kbd):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-family:inherit;color:var(--tw-prose-kbd);box-shadow:0 0 0 1px rgb(var(--tw-prose-kbd-shadows) / 10%),0 3px rgb(var(--tw-prose-kbd-shadows) / 10%);font-size:.875em;border-radius:.3125rem;padding-top:.1875em;padding-inline-end:.375em;padding-bottom:.1875em;padding-inline-start:.375em}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-code);font-weight:600;font-size:.875em}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:"`"}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:"`"}article :where(a code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(h1 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(h2 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.875em}article :where(h3 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.9em}article :where(h4 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(blockquote code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(thead th code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(pre):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-pre-code);background-color:var(--tw-prose-pre-bg);overflow-x:auto;font-weight:400;font-size:.875em;line-height:1.7142857;margin-top:1.7142857em;margin-bottom:1.7142857em;border-radius:.375rem;padding-top:.8571429em;padding-inline-end:1.1428571em;padding-bottom:.8571429em;padding-inline-start:1.1428571em}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)){background-color:transparent;border-width:0;border-radius:0;padding:0;font-weight:inherit;color:inherit;font-size:inherit;font-family:inherit;line-height:inherit}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:none}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:none}article :where(table):not(:where([class~=not-prose],[class~=not-prose] *)){width:100%;table-layout:auto;text-align:start;margin-top:2em;margin-bottom:2em;font-size:.875em;line-height:1.7142857}article :where(thead):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-th-borders)}article :where(thead th):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;vertical-align:bottom;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}article :where(tbody tr):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-td-borders)}article :where(tbody tr:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:0}article :where(tbody td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:baseline}article :where(tfoot):not(:where([class~=not-prose],[class~=not-prose] *)){border-top-width:1px;border-top-color:var(--tw-prose-th-borders)}article :where(tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:top}article :where(figure>*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}article :where(figcaption):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-captions);font-size:.875em;line-height:1.4285714;margin-top:.8571429em}article{--tw-prose-body: #374151;--tw-prose-headings: #111827;--tw-prose-lead: #4b5563;--tw-prose-links: #111827;--tw-prose-bold: #111827;--tw-prose-counters: #6b7280;--tw-prose-bullets: #d1d5db;--tw-prose-hr: #e5e7eb;--tw-prose-quotes: #111827;--tw-prose-quote-borders: #e5e7eb;--tw-prose-captions: #6b7280;--tw-prose-kbd: #111827;--tw-prose-kbd-shadows: 17 24 39;--tw-prose-code: #111827;--tw-prose-pre-code: #e5e7eb;--tw-prose-pre-bg: #1f2937;--tw-prose-th-borders: #d1d5db;--tw-prose-td-borders: #e5e7eb;--tw-prose-invert-body: #d1d5db;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #9ca3af;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #9ca3af;--tw-prose-invert-bullets: #4b5563;--tw-prose-invert-hr: #374151;--tw-prose-invert-quotes: #f3f4f6;--tw-prose-invert-quote-borders: #374151;--tw-prose-invert-captions: #9ca3af;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d1d5db;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #4b5563;--tw-prose-invert-td-borders: #374151;font-size:1rem;line-height:1.75}article :where(picture>img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}article :where(li):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;margin-bottom:.5em}article :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}article :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}article :where(.prose>ul>li p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}article :where(.prose>ul>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}article :where(.prose>ul>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}article :where(.prose>ol>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}article :where(.prose>ol>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}article :where(ul ul,ul ol,ol ul,ol ol):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}article :where(dl):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}article :where(dd):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;padding-inline-start:1.625em}article :where(hr+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h2+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h3+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h4+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(thead th:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}article :where(thead th:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}article :where(tbody td,tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){padding-top:.5714286em;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}article :where(tbody td:first-child,tfoot td:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}article :where(tbody td:last-child,tfoot td:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}article :where(figure):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(.prose>:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(.prose>:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:0}article{--tw-prose-body: #404040;--tw-prose-headings: #171717;--tw-prose-lead: #525252;--tw-prose-links: #171717;--tw-prose-bold: #171717;--tw-prose-counters: #737373;--tw-prose-bullets: #d4d4d4;--tw-prose-hr: #e5e5e5;--tw-prose-quotes: #171717;--tw-prose-quote-borders: #e5e5e5;--tw-prose-captions: #737373;--tw-prose-kbd: #171717;--tw-prose-kbd-shadows: 23 23 23;--tw-prose-code: #171717;--tw-prose-pre-code: #e5e5e5;--tw-prose-pre-bg: #262626;--tw-prose-th-borders: #d4d4d4;--tw-prose-td-borders: #e5e5e5;--tw-prose-invert-body: #d4d4d4;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #a3a3a3;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #a3a3a3;--tw-prose-invert-bullets: #525252;--tw-prose-invert-hr: #404040;--tw-prose-invert-quotes: #f5f5f5;--tw-prose-invert-quote-borders: #404040;--tw-prose-invert-captions: #a3a3a3;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d4d4d4;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #525252;--tw-prose-invert-td-borders: #404040;max-width:100%}article:is(.dark *){--tw-prose-body: var(--tw-prose-invert-body);--tw-prose-headings: var(--tw-prose-invert-headings);--tw-prose-lead: var(--tw-prose-invert-lead);--tw-prose-links: var(--tw-prose-invert-links);--tw-prose-bold: var(--tw-prose-invert-bold);--tw-prose-counters: var(--tw-prose-invert-counters);--tw-prose-bullets: var(--tw-prose-invert-bullets);--tw-prose-hr: var(--tw-prose-invert-hr);--tw-prose-quotes: var(--tw-prose-invert-quotes);--tw-prose-quote-borders: var(--tw-prose-invert-quote-borders);--tw-prose-captions: var(--tw-prose-invert-captions);--tw-prose-kbd: var(--tw-prose-invert-kbd);--tw-prose-kbd-shadows: var(--tw-prose-invert-kbd-shadows);--tw-prose-code: var(--tw-prose-invert-code);--tw-prose-pre-code: var(--tw-prose-invert-pre-code);--tw-prose-pre-bg: var(--tw-prose-invert-pre-bg);--tw-prose-th-borders: var(--tw-prose-invert-th-borders);--tw-prose-td-borders: var(--tw-prose-invert-td-borders)}article :is(:where(img):not(:where([class~=not-prose],[class~=not-prose] *))){margin:auto}article :is(:where(h1,h2,h3,h4,h5,h6,th):not(:where([class~=not-prose],[class~=not-prose] *))){font-weight:600;--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}article:is(.dark *) :is(:where(h1,h2,h3,h4,h5,h6,th):not(:where([class~=not-prose],[class~=not-prose] *))){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.animate{--tw-translate-y: -.75rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));opacity:0;transition-property:all;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.3s;transition-timing-function:cubic-bezier(0,0,.2,1)}.animate.show{--tw-translate-y: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));opacity:1}html #back-to-top{pointer-events:none;opacity:0}html.scrolled #back-to-top{pointer-events:auto;opacity:1}pre{border-width:1px;border-color:#00000026;padding-top:1.25rem;padding-bottom:1.25rem}pre:is(.dark *){border-color:#fff3}:root{--astro-code-color-text: #09090b;--astro-code-color-background: #fafafa;--astro-code-token-comment: #a19595;--astro-code-token-keyword: #f47067;--astro-code-token-string: #00a99a;--astro-code-token-function: #429996;--astro-code-token-constant: #2b70c5;--astro-code-token-parameter: #4e8fdf;--astro-code-token-string-expression: #ae42a0;--astro-code-token-punctuation: #8996a3;--astro-code-token-link: #8d85ff}.dark{--astro-code-color-text: #fafafa;--astro-code-color-background: #09090b;--astro-code-token-comment: #a19595;--astro-code-token-keyword: #f47067;--astro-code-token-string: #00a99a;--astro-code-token-function: #6eafad;--astro-code-token-constant: #b3cceb;--astro-code-token-parameter: #4e8fdf;--astro-code-token-string-expression: #bf7db6;--astro-code-token-punctuation: #8996a3;--astro-code-token-link: #8d85ff}.copy-code{position:absolute;right:.75rem;top:.75rem;display:grid;width:2.25rem;height:2.25rem;place-content:center;border-radius:.25rem;border-width:1px;border-color:#00000026;--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity));text-align:center;transition-duration:.3s;transition-timing-function:cubic-bezier(.4,0,.2,1)}.copy-code:is(.dark *){border-color:#fff3;--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}.copy-code:hover{--tw-bg-opacity: 1;background-color:rgb(233 233 233 / var(--tw-bg-opacity));transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.copy-code:hover:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(35 35 35 / var(--tw-bg-opacity))}.copy-code:active{--tw-scale-x: .9;--tw-scale-y: .9;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));transition-property:transform;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.dark\:prose-invert:is(.dark *){--tw-prose-body: var(--tw-prose-invert-body);--tw-prose-headings: var(--tw-prose-invert-headings);--tw-prose-lead: var(--tw-prose-invert-lead);--tw-prose-links: var(--tw-prose-invert-links);--tw-prose-bold: var(--tw-prose-invert-bold);--tw-prose-counters: var(--tw-prose-invert-counters);--tw-prose-bullets: var(--tw-prose-invert-bullets);--tw-prose-hr: var(--tw-prose-invert-hr);--tw-prose-quotes: var(--tw-prose-invert-quotes);--tw-prose-quote-borders: var(--tw-prose-invert-quote-borders);--tw-prose-captions: var(--tw-prose-invert-captions);--tw-prose-kbd: var(--tw-prose-invert-kbd);--tw-prose-kbd-shadows: var(--tw-prose-invert-kbd-shadows);--tw-prose-code: var(--tw-prose-invert-code);--tw-prose-pre-code: var(--tw-prose-invert-pre-code);--tw-prose-pre-bg: var(--tw-prose-invert-pre-bg);--tw-prose-th-borders: var(--tw-prose-invert-th-borders);--tw-prose-td-borders: var(--tw-prose-invert-td-borders)}.hover\:bg-black\/5:hover{background-color:#0000000d}.hover\:text-black:hover{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.hover\:decoration-black\/50:hover{text-decoration-color:#00000080}.focus-visible\:bg-black\/5:focus-visible{background-color:#0000000d}.focus-visible\:text-black:focus-visible{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.focus-visible\:decoration-black\/50:focus-visible{text-decoration-color:#00000080}.group:hover .group-hover\:translate-x-0{--tw-translate-x: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:hover .group-hover\:scale-x-100{--tw-scale-x: 1;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:hover .group-hover\:animate-pulse{animation:pulse 2s cubic-bezier(.4,0,.6,1) infinite}.group:hover .group-hover\:stroke-black{stroke:#000}.group:focus-visible .group-focus-visible\:translate-x-0{--tw-translate-x: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:focus-visible .group-focus-visible\:scale-x-100{--tw-scale-x: 1;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}@keyframes pulse{50%{opacity:.5}}.group:focus-visible .group-focus-visible\:animate-pulse{animation:pulse 2s cubic-bezier(.4,0,.6,1) infinite}.group:focus-visible .group-focus-visible\:stroke-black{stroke:#000}.dark\:border-blue-200\/20:is(.dark *){border-color:#bfdbfe33}.dark\:border-orange-200\/20:is(.dark *){border-color:#fed7aa33}.dark\:border-red-200\/20:is(.dark *){border-color:#fecaca33}.dark\:border-white\/20:is(.dark *){border-color:#fff3}.dark\:border-yellow-200\/20:is(.dark *){border-color:#fef08a33}.dark\:bg-blue-950\/20:is(.dark *){background-color:#17255433}.dark\:bg-neutral-900:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}.dark\:bg-orange-950\/20:is(.dark *){background-color:#43140733}.dark\:bg-red-950\/20:is(.dark *){background-color:#450a0a33}.dark\:bg-white\/5:is(.dark *){background-color:#ffffff0d}.dark\:bg-yellow-950\/20:is(.dark *){background-color:#42200633}.dark\:text-gray-400:is(.dark *){--tw-text-opacity: 1;color:rgb(156 163 175 / var(--tw-text-opacity))}.dark\:text-white:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:decoration-white\/30:is(.dark *){text-decoration-color:#ffffff4d}.dark\:hover\:bg-white\/5:hover:is(.dark *){background-color:#ffffff0d}.dark\:hover\:text-white:hover:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:hover\:decoration-white\/50:hover:is(.dark *){text-decoration-color:#ffffff80}.dark\:focus-visible\:bg-white\/5:focus-visible:is(.dark *){background-color:#ffffff0d}.dark\:focus-visible\:text-white:focus-visible:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:focus-visible\:decoration-white\/50:focus-visible:is(.dark *){text-decoration-color:#ffffff80}.group:hover .group-hover\:dark\:stroke-white:is(.dark *){stroke:#fff}.group:focus-visible .dark\:group-focus-visible\:stroke-white:is(.dark *){stroke:#fff}@media (min-width: 640px){.sm\:gap-3{gap:.75rem}}.astro-route-announcer{position:absolute;left:0;top:0;clip:rect(0 0 0 0);clip-path:inset(50%);overflow:hidden;white-space:nowrap;width:1px;height:1px}@font-face{font-family:Geist Sans;font-style:normal;font-display:swap;font-weight:400;src:url(/_astro/geist-sans-latin-400-normal.gapTbOY8.woff2) format("woff2"),url(/_astro/geist-sans-latin-400-normal.BOaIZNA2.woff) format("woff")}@font-face{font-family:Geist Mono;font-style:normal;font-display:swap;font-weight:400;src:url(/_astro/geist-mono-latin-400-normal.ao2e9zgx.woff2) format("woff2"),url(/_astro/geist-mono-latin-400-normal.CQcZBlNU.woff) format("woff")}@keyframes astroFadeInOut{0%{opacity:1}to{opacity:0}}@keyframes astroFadeIn{0%{opacity:0}}@keyframes astroFadeOut{to{opacity:0}}@keyframes astroSlideFromRight{0%{transform:translate(100%)}}@keyframes astroSlideFromLeft{0%{transform:translate(-100%)}}@keyframes astroSlideToRight{to{transform:translate(100%)}}@keyframes astroSlideToLeft{to{transform:translate(-100%)}}@media (prefers-reduced-motion){::view-transition-group(*),::view-transition-old(*),::view-transition-new(*){animation:none!important}[data-astro-transition-scope]{animation:none!important}}.pagefind-ui__result.svelte-j9e30.svelte-j9e30{list-style-type:none;display:flex;align-items:flex-start;gap:min(calc(40px * var(--pagefind-ui-scale)),3%);padding:calc(30px * var(--pagefind-ui-scale)) 0 calc(40px * var(--pagefind-ui-scale));border-top:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result.svelte-j9e30.svelte-j9e30:last-of-type{border-bottom:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result-thumb.svelte-j9e30.svelte-j9e30{width:min(30%,calc((30% - (100px * var(--pagefind-ui-scale))) * 100000));max-width:calc(120px * var(--pagefind-ui-scale));margin-top:calc(10px * var(--pagefind-ui-scale));aspect-ratio:var(--pagefind-ui-image-box-ratio);position:relative}.pagefind-ui__result-image.svelte-j9e30.svelte-j9e30{display:block;position:absolute;left:50%;transform:translate(-50%);font-size:0;width:auto;height:auto;max-width:100%;max-height:100%;border-radius:var(--pagefind-ui-image-border-radius)}.pagefind-ui__result-inner.svelte-j9e30.svelte-j9e30{flex:1;display:flex;flex-direction:column;align-items:flex-start;margin-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-title.svelte-j9e30.svelte-j9e30{display:inline-block;font-weight:700;font-size:calc(21px * var(--pagefind-ui-scale));margin-top:0;margin-bottom:0}.pagefind-ui__result-title.svelte-j9e30 .pagefind-ui__result-link.svelte-j9e30{color:var(--pagefind-ui-text);text-decoration:none}.pagefind-ui__result-title.svelte-j9e30 .pagefind-ui__result-link.svelte-j9e30:hover{text-decoration:underline}.pagefind-ui__result-excerpt.svelte-j9e30.svelte-j9e30{display:inline-block;font-weight:400;font-size:calc(16px * var(--pagefind-ui-scale));margin-top:calc(4px * var(--pagefind-ui-scale));margin-bottom:0;min-width:calc(250px * var(--pagefind-ui-scale))}.pagefind-ui__loading.svelte-j9e30.svelte-j9e30{color:var(--pagefind-ui-text);background-color:var(--pagefind-ui-text);border-radius:var(--pagefind-ui-border-radius);opacity:.1;pointer-events:none}.pagefind-ui__result-tags.svelte-j9e30.svelte-j9e30{list-style-type:none;padding:0;display:flex;gap:calc(20px * var(--pagefind-ui-scale));flex-wrap:wrap;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-tag.svelte-j9e30.svelte-j9e30{padding:calc(4px * var(--pagefind-ui-scale)) calc(8px * var(--pagefind-ui-scale));font-size:calc(14px * var(--pagefind-ui-scale));border-radius:var(--pagefind-ui-border-radius);background-color:var(--pagefind-ui-tag)}.pagefind-ui__result.svelte-4xnkmf.svelte-4xnkmf{list-style-type:none;display:flex;align-items:flex-start;gap:min(calc(40px * var(--pagefind-ui-scale)),3%);padding:calc(30px * var(--pagefind-ui-scale)) 0 calc(40px * var(--pagefind-ui-scale));border-top:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result.svelte-4xnkmf.svelte-4xnkmf:last-of-type{border-bottom:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result-nested.svelte-4xnkmf.svelte-4xnkmf{display:flex;flex-direction:column;padding-left:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-nested.svelte-4xnkmf.svelte-4xnkmf:first-of-type{padding-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-nested.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf{font-size:.9em;position:relative}.pagefind-ui__result-nested.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf:before{content:"⤷ ";position:absolute;top:0;right:calc(100% + .1em)}.pagefind-ui__result-thumb.svelte-4xnkmf.svelte-4xnkmf{width:min(30%,calc((30% - (100px * var(--pagefind-ui-scale))) * 100000));max-width:calc(120px * var(--pagefind-ui-scale));margin-top:calc(10px * var(--pagefind-ui-scale));aspect-ratio:var(--pagefind-ui-image-box-ratio);position:relative}.pagefind-ui__result-image.svelte-4xnkmf.svelte-4xnkmf{display:block;position:absolute;left:50%;transform:translate(-50%);font-size:0;width:auto;height:auto;max-width:100%;max-height:100%;border-radius:var(--pagefind-ui-image-border-radius)}.pagefind-ui__result-inner.svelte-4xnkmf.svelte-4xnkmf{flex:1;display:flex;flex-direction:column;align-items:flex-start;margin-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-title.svelte-4xnkmf.svelte-4xnkmf{display:inline-block;font-weight:700;font-size:calc(21px * var(--pagefind-ui-scale));margin-top:0;margin-bottom:0}.pagefind-ui__result-title.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf{color:var(--pagefind-ui-text);text-decoration:none}.pagefind-ui__result-title.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf:hover{text-decoration:underline}.pagefind-ui__result-excerpt.svelte-4xnkmf.svelte-4xnkmf{display:inline-block;font-weight:400;font-size:calc(16px * var(--pagefind-ui-scale));margin-top:calc(4px * var(--pagefind-ui-scale));margin-bottom:0;min-width:calc(250px * var(--pagefind-ui-scale))}.pagefind-ui__loading.svelte-4xnkmf.svelte-4xnkmf{color:var(--pagefind-ui-text);background-color:var(--pagefind-ui-text);border-radius:var(--pagefind-ui-border-radius);opacity:.1;pointer-events:none}.pagefind-ui__result-tags.svelte-4xnkmf.svelte-4xnkmf{list-style-type:none;padding:0;display:flex;gap:calc(20px * var(--pagefind-ui-scale));flex-wrap:wrap;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-tag.svelte-4xnkmf.svelte-4xnkmf{padding:calc(4px * var(--pagefind-ui-scale)) calc(8px * var(--pagefind-ui-scale));font-size:calc(14px * var(--pagefind-ui-scale));border-radius:var(--pagefind-ui-border-radius);background-color:var(--pagefind-ui-tag)}legend.svelte-1v2r7ls.svelte-1v2r7ls{position:absolute;clip:rect(0 0 0 0)}.pagefind-ui__filter-panel.svelte-1v2r7ls.svelte-1v2r7ls{min-width:min(calc(260px * var(--pagefind-ui-scale)),100%);flex:1;display:flex;flex-direction:column;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__filter-group.svelte-1v2r7ls.svelte-1v2r7ls{border:0;padding:0}.pagefind-ui__filter-block.svelte-1v2r7ls.svelte-1v2r7ls{padding:0;display:block;border-bottom:solid calc(2px * var(--pagefind-ui-scale)) var(--pagefind-ui-border);padding:calc(20px * var(--pagefind-ui-scale)) 0}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls{font-size:calc(16px * var(--pagefind-ui-scale));position:relative;display:flex;align-items:center;list-style:none;font-weight:700;cursor:pointer;height:calc(24px * var(--pagefind-ui-scale))}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls::-webkit-details-marker{display:none}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls:after{position:absolute;content:"";right:calc(6px * var(--pagefind-ui-scale));top:50%;width:calc(8px * var(--pagefind-ui-scale));height:calc(8px * var(--pagefind-ui-scale));border:solid calc(2px * var(--pagefind-ui-scale)) currentColor;border-right:0;border-top:0;transform:translateY(-70%) rotate(-45deg)}.pagefind-ui__filter-block[open].svelte-1v2r7ls .pagefind-ui__filter-name.svelte-1v2r7ls:after{transform:translateY(-70%) rotate(-225deg)}.pagefind-ui__filter-group.svelte-1v2r7ls.svelte-1v2r7ls{display:flex;flex-direction:column;gap:calc(20px * var(--pagefind-ui-scale));padding-top:calc(30px * var(--pagefind-ui-scale))}.pagefind-ui__filter-value.svelte-1v2r7ls.svelte-1v2r7ls{position:relative;display:flex;align-items:center;gap:calc(8px * var(--pagefind-ui-scale))}.pagefind-ui__filter-value.svelte-1v2r7ls.svelte-1v2r7ls:before{position:absolute;content:"";top:50%;left:calc(8px * var(--pagefind-ui-scale));width:0px;height:0px;border:solid 1px #fff;opacity:0;transform:translate(calc(4.5px * var(--pagefind-ui-scale) * -1),calc(.8px * var(--pagefind-ui-scale))) skew(-5deg) rotate(-45deg);transform-origin:top left;border-top:0;border-right:0;pointer-events:none}.pagefind-ui__filter-value.pagefind-ui__filter-value--checked.svelte-1v2r7ls.svelte-1v2r7ls:before{opacity:1;width:calc(9px * var(--pagefind-ui-scale));height:calc(4px * var(--pagefind-ui-scale));transition:width .1s ease-out .1s,height .1s ease-in}.pagefind-ui__filter-checkbox.svelte-1v2r7ls.svelte-1v2r7ls{margin:0;width:calc(16px * var(--pagefind-ui-scale));height:calc(16px * var(--pagefind-ui-scale));border:solid 1px var(--pagefind-ui-border);-moz-appearance:none;appearance:none;-webkit-appearance:none;border-radius:calc(var(--pagefind-ui-border-radius) / 2);background-color:var(--pagefind-ui-background);cursor:pointer}.pagefind-ui__filter-checkbox.svelte-1v2r7ls.svelte-1v2r7ls:checked{background-color:var(--pagefind-ui-primary);border:solid 1px var(--pagefind-ui-primary)}.pagefind-ui__filter-label.svelte-1v2r7ls.svelte-1v2r7ls{cursor:pointer;font-size:calc(16px * var(--pagefind-ui-scale));font-weight:400}.pagefind-ui--reset *:where(:not(html,iframe,canvas,img,svg,video):not(svg *,symbol *)){all:unset;display:revert;outline:revert}.pagefind-ui--reset *,.pagefind-ui--reset *:before,.pagefind-ui--reset *:after{box-sizing:border-box}.pagefind-ui--reset a,.pagefind-ui--reset button{cursor:revert}.pagefind-ui--reset ol,.pagefind-ui--reset ul,.pagefind-ui--reset menu{list-style:none}.pagefind-ui--reset img{max-width:100%}.pagefind-ui--reset table{border-collapse:collapse}.pagefind-ui--reset input,.pagefind-ui--reset textarea{-webkit-user-select:auto}.pagefind-ui--reset textarea{white-space:revert}.pagefind-ui--reset meter{-webkit-appearance:revert;-moz-appearance:revert;appearance:revert}.pagefind-ui--reset ::-moz-placeholder{color:unset}.pagefind-ui--reset ::placeholder{color:unset}.pagefind-ui--reset :where([hidden]){display:none}.pagefind-ui--reset :where([contenteditable]:not([contenteditable=false])){-moz-user-modify:read-write;-webkit-user-modify:read-write;overflow-wrap:break-word;-webkit-line-break:after-white-space;-webkit-user-select:auto}.pagefind-ui--reset :where([draggable=true]){-webkit-user-drag:element}.pagefind-ui--reset mark{all:revert}:root{--pagefind-ui-scale:.8;--pagefind-ui-primary:#393939;--pagefind-ui-text:#393939;--pagefind-ui-background:#ffffff;--pagefind-ui-border:#eeeeee;--pagefind-ui-tag:#eeeeee;--pagefind-ui-border-width:2px;--pagefind-ui-border-radius:8px;--pagefind-ui-image-border-radius:8px;--pagefind-ui-image-box-ratio:3 / 2;--pagefind-ui-font:system, -apple-system, "BlinkMacSystemFont", ".SFNSText-Regular", "San Francisco", "Roboto", "Segoe UI", "Helvetica Neue", "Lucida Grande", "Ubuntu", "arial", sans-serif}.pagefind-ui.svelte-e9gkc3{width:100%;color:var(--pagefind-ui-text);font-family:var(--pagefind-ui-font)}.pagefind-ui__hidden.svelte-e9gkc3{display:none!important}.pagefind-ui__suppressed.svelte-e9gkc3{opacity:0;pointer-events:none}.pagefind-ui__form.svelte-e9gkc3{position:relative}.pagefind-ui__form.svelte-e9gkc3:before{background-color:var(--pagefind-ui-text);width:calc(18px * var(--pagefind-ui-scale));height:calc(18px * var(--pagefind-ui-scale));top:calc(23px * var(--pagefind-ui-scale));left:calc(20px * var(--pagefind-ui-scale));content:"";position:absolute;display:block;opacity:.7;-webkit-mask-image:url("data:image/svg+xml,%3Csvg width='18' height='18' viewBox='0 0 18 18' fill='none' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='M12.7549 11.255H11.9649L11.6849 10.985C12.6649 9.845 13.2549 8.365 13.2549 6.755C13.2549 3.165 10.3449 0.255005 6.75488 0.255005C3.16488 0.255005 0.254883 3.165 0.254883 6.755C0.254883 10.345 3.16488 13.255 6.75488 13.255C8.36488 13.255 9.84488 12.665 10.9849 11.685L11.2549 11.965V12.755L16.2549 17.745L17.7449 16.255L12.7549 11.255ZM6.75488 11.255C4.26488 11.255 2.25488 9.245 2.25488 6.755C2.25488 4.26501 4.26488 2.255 6.75488 2.255C9.24488 2.255 11.2549 4.26501 11.2549 6.755C11.2549 9.245 9.24488 11.255 6.75488 11.255Z' fill='%23000000'/%3E%3C/svg%3E%0A");mask-image:url("data:image/svg+xml,%3Csvg width='18' height='18' viewBox='0 0 18 18' fill='none' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='M12.7549 11.255H11.9649L11.6849 10.985C12.6649 9.845 13.2549 8.365 13.2549 6.755C13.2549 3.165 10.3449 0.255005 6.75488 0.255005C3.16488 0.255005 0.254883 3.165 0.254883 6.755C0.254883 10.345 3.16488 13.255 6.75488 13.255C8.36488 13.255 9.84488 12.665 10.9849 11.685L11.2549 11.965V12.755L16.2549 17.745L17.7449 16.255L12.7549 11.255ZM6.75488 11.255C4.26488 11.255 2.25488 9.245 2.25488 6.755C2.25488 4.26501 4.26488 2.255 6.75488 2.255C9.24488 2.255 11.2549 4.26501 11.2549 6.755C11.2549 9.245 9.24488 11.255 6.75488 11.255Z' fill='%23000000'/%3E%3C/svg%3E%0A");-webkit-mask-size:100%;mask-size:100%;z-index:9;pointer-events:none}.pagefind-ui__search-input.svelte-e9gkc3{height:calc(64px * var(--pagefind-ui-scale));padding:0 calc(70px * var(--pagefind-ui-scale)) 0 calc(54px * var(--pagefind-ui-scale));background-color:var(--pagefind-ui-background);border:var(--pagefind-ui-border-width) solid var(--pagefind-ui-border);border-radius:var(--pagefind-ui-border-radius);font-size:calc(21px * var(--pagefind-ui-scale));position:relative;-moz-appearance:none;appearance:none;-webkit-appearance:none;display:flex;width:100%;box-sizing:border-box;font-weight:700}.pagefind-ui__search-input.svelte-e9gkc3::-moz-placeholder{opacity:.2}.pagefind-ui__search-input.svelte-e9gkc3::placeholder{opacity:.2}.pagefind-ui__search-clear.svelte-e9gkc3{position:absolute;top:calc(3px * var(--pagefind-ui-scale));right:calc(3px * var(--pagefind-ui-scale));height:calc(58px * var(--pagefind-ui-scale));padding:0 calc(15px * var(--pagefind-ui-scale)) 0 calc(2px * var(--pagefind-ui-scale));color:var(--pagefind-ui-text);font-size:calc(14px * var(--pagefind-ui-scale));cursor:pointer;background-color:var(--pagefind-ui-background);border-radius:var(--pagefind-ui-border-radius)}.pagefind-ui__drawer.svelte-e9gkc3{gap:calc(60px * var(--pagefind-ui-scale));display:flex;flex-direction:row;flex-wrap:wrap}.pagefind-ui__results-area.svelte-e9gkc3{min-width:min(calc(400px * var(--pagefind-ui-scale)),100%);flex:1000;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__results.svelte-e9gkc3{padding:0}.pagefind-ui__message.svelte-e9gkc3{box-sizing:content-box;font-size:calc(16px * var(--pagefind-ui-scale));height:calc(24px * var(--pagefind-ui-scale));padding:calc(20px * var(--pagefind-ui-scale)) 0;display:flex;align-items:center;font-weight:700;margin-top:0}.pagefind-ui__button.svelte-e9gkc3{margin-top:calc(40px * var(--pagefind-ui-scale));border:var(--pagefind-ui-border-width) solid var(--pagefind-ui-border);border-radius:var(--pagefind-ui-border-radius);height:calc(48px * var(--pagefind-ui-scale));padding:0 calc(12px * var(--pagefind-ui-scale));font-size:calc(16px * var(--pagefind-ui-scale));color:var(--pagefind-ui-primary);background:var(--pagefind-ui-background);width:100%;text-align:center;font-weight:700;cursor:pointer}.pagefind-ui__button.svelte-e9gkc3:hover{border-color:var(--pagefind-ui-primary);color:var(--pagefind-ui-primary);background:var(--pagefind-ui-background)}:root{--pagefind-ui-scale: .75;--pagefind-ui-border-width: 1px;--pagefind-ui-border-radius: 3px;--pagefind-ui-font: "Geist", sans-serif;--pagefind-ui-primary: #3d3d3d;--pagefind-ui-text: #3d3d3d;--pagefind-ui-background: #ffffff;--pagefind-ui-border: #d0d0d0;--pagefind-ui-tag: #f5f5f5}.dark{--pagefind-ui-primary: #d4d4d4;--pagefind-ui-text: #d4d4d4;--pagefind-ui-background: #171717;--pagefind-ui-border: #404040}#search input,#search p{font-weight:400}#search .pagefind-ui__result-title{font-weight:600}#search .pagefind-ui__message{padding:0;padding-bottom:.75rem} diff --git a/_astro/_subject_.DPh3UX5U.css b/_astro/_subject_.DPh3UX5U.css new file mode 100644 index 00000000..54efaba3 --- /dev/null +++ b/_astro/_subject_.DPh3UX5U.css @@ -0,0 +1 @@ +*,:before,:after{box-sizing:border-box;border-width:0;border-style:solid;border-color:#e5e7eb}:before,:after{--tw-content: ""}html,:host{line-height:1.5;-webkit-text-size-adjust:100%;-moz-tab-size:4;-o-tab-size:4;tab-size:4;font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";font-feature-settings:normal;font-variation-settings:normal;-webkit-tap-highlight-color:transparent}body{margin:0;line-height:inherit}hr{height:0;color:inherit;border-top-width:1px}abbr:where([title]){-webkit-text-decoration:underline dotted;text-decoration:underline dotted}h1,h2,h3,h4,h5,h6{font-size:inherit;font-weight:inherit}a{color:inherit;text-decoration:inherit}b,strong{font-weight:bolder}code,kbd,samp,pre{font-family:Geist Mono,ui-monospace,SFMono-Regular,Menlo,Monaco,Consolas,Liberation Mono,Courier New,monospace;font-feature-settings:normal;font-variation-settings:normal;font-size:1em}small{font-size:80%}sub,sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}sub{bottom:-.25em}sup{top:-.5em}table{text-indent:0;border-color:inherit;border-collapse:collapse}button,input,optgroup,select,textarea{font-family:inherit;font-feature-settings:inherit;font-variation-settings:inherit;font-size:100%;font-weight:inherit;line-height:inherit;letter-spacing:inherit;color:inherit;margin:0;padding:0}button,select{text-transform:none}button,input:where([type=button]),input:where([type=reset]),input:where([type=submit]){-webkit-appearance:button;background-color:transparent;background-image:none}:-moz-focusring{outline:auto}:-moz-ui-invalid{box-shadow:none}progress{vertical-align:baseline}::-webkit-inner-spin-button,::-webkit-outer-spin-button{height:auto}[type=search]{-webkit-appearance:textfield;outline-offset:-2px}::-webkit-search-decoration{-webkit-appearance:none}::-webkit-file-upload-button{-webkit-appearance:button;font:inherit}summary{display:list-item}blockquote,dl,dd,h1,h2,h3,h4,h5,h6,hr,figure,p,pre{margin:0}fieldset{margin:0;padding:0}legend{padding:0}ol,ul,menu{list-style:none;margin:0;padding:0}dialog{padding:0}textarea{resize:vertical}input::-moz-placeholder,textarea::-moz-placeholder{opacity:1;color:#9ca3af}input::placeholder,textarea::placeholder{opacity:1;color:#9ca3af}button,[role=button]{cursor:pointer}:disabled{cursor:default}img,svg,video,canvas,audio,iframe,embed,object{display:block;vertical-align:middle}img,video{max-width:100%;height:auto}[hidden]{display:none}*,:before,:after{--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgb(59 130 246 / .5);--tw-ring-offset-shadow: 0 0 #0000;--tw-ring-shadow: 0 0 #0000;--tw-shadow: 0 0 #0000;--tw-shadow-colored: 0 0 #0000;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;--tw-contain-size: ;--tw-contain-layout: ;--tw-contain-paint: ;--tw-contain-style: }::backdrop{--tw-border-spacing-x: 0;--tw-border-spacing-y: 0;--tw-translate-x: 0;--tw-translate-y: 0;--tw-rotate: 0;--tw-skew-x: 0;--tw-skew-y: 0;--tw-scale-x: 1;--tw-scale-y: 1;--tw-pan-x: ;--tw-pan-y: ;--tw-pinch-zoom: ;--tw-scroll-snap-strictness: proximity;--tw-gradient-from-position: ;--tw-gradient-via-position: ;--tw-gradient-to-position: ;--tw-ordinal: ;--tw-slashed-zero: ;--tw-numeric-figure: ;--tw-numeric-spacing: ;--tw-numeric-fraction: ;--tw-ring-inset: ;--tw-ring-offset-width: 0px;--tw-ring-offset-color: #fff;--tw-ring-color: rgb(59 130 246 / .5);--tw-ring-offset-shadow: 0 0 #0000;--tw-ring-shadow: 0 0 #0000;--tw-shadow: 0 0 #0000;--tw-shadow-colored: 0 0 #0000;--tw-blur: ;--tw-brightness: ;--tw-contrast: ;--tw-grayscale: ;--tw-hue-rotate: ;--tw-invert: ;--tw-saturate: ;--tw-sepia: ;--tw-drop-shadow: ;--tw-backdrop-blur: ;--tw-backdrop-brightness: ;--tw-backdrop-contrast: ;--tw-backdrop-grayscale: ;--tw-backdrop-hue-rotate: ;--tw-backdrop-invert: ;--tw-backdrop-opacity: ;--tw-backdrop-saturate: ;--tw-backdrop-sepia: ;--tw-contain-size: ;--tw-contain-layout: ;--tw-contain-paint: ;--tw-contain-style: }.container{width:100%}@media (min-width: 640px){.container{max-width:640px}}@media (min-width: 768px){.container{max-width:768px}}@media (min-width: 1024px){.container{max-width:1024px}}@media (min-width: 1280px){.container{max-width:1280px}}@media (min-width: 1536px){.container{max-width:1536px}}.prose{color:var(--tw-prose-body);max-width:65ch}.prose :where(p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}.prose :where([class~=lead]):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-lead);font-size:1.25em;line-height:1.6;margin-top:1.2em;margin-bottom:1.2em}.prose :where(a):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-links);text-decoration:underline;font-weight:500}.prose :where(strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-bold);font-weight:600}.prose :where(a strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(blockquote strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(thead th strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(ol):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}.prose :where(ol[type=A]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}.prose :where(ol[type=a]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}.prose :where(ol[type=A s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}.prose :where(ol[type=a s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}.prose :where(ol[type=I]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}.prose :where(ol[type=i]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}.prose :where(ol[type=I s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}.prose :where(ol[type=i s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}.prose :where(ol[type="1"]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal}.prose :where(ul):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:disc;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}.prose :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{font-weight:400;color:var(--tw-prose-counters)}.prose :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{color:var(--tw-prose-bullets)}.prose :where(dt):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.25em}.prose :where(hr):not(:where([class~=not-prose],[class~=not-prose] *)){border-color:var(--tw-prose-hr);border-top-width:1px;margin-top:3em;margin-bottom:3em}.prose :where(blockquote):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-style:italic;color:var(--tw-prose-quotes);border-inline-start-width:.25rem;border-inline-start-color:var(--tw-prose-quote-borders);quotes:"“""”""‘""’";margin-top:1.6em;margin-bottom:1.6em;padding-inline-start:1em}.prose :where(blockquote p:first-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:open-quote}.prose :where(blockquote p:last-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:close-quote}.prose :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:800;font-size:2.25em;margin-top:0;margin-bottom:.8888889em;line-height:1.1111111}.prose :where(h1 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:900;color:inherit}.prose :where(h2):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:700;font-size:1.5em;margin-top:2em;margin-bottom:1em;line-height:1.3333333}.prose :where(h2 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:800;color:inherit}.prose :where(h3):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;font-size:1.25em;margin-top:1.6em;margin-bottom:.6em;line-height:1.6}.prose :where(h3 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}.prose :where(h4):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.5em;margin-bottom:.5em;line-height:1.5}.prose :where(h4 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}.prose :where(img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(picture):not(:where([class~=not-prose],[class~=not-prose] *)){display:block;margin-top:2em;margin-bottom:2em}.prose :where(video):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(kbd):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-family:inherit;color:var(--tw-prose-kbd);box-shadow:0 0 0 1px rgb(var(--tw-prose-kbd-shadows) / 10%),0 3px rgb(var(--tw-prose-kbd-shadows) / 10%);font-size:.875em;border-radius:.3125rem;padding-top:.1875em;padding-inline-end:.375em;padding-bottom:.1875em;padding-inline-start:.375em}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-code);font-weight:600;font-size:.875em}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:"`"}.prose :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:"`"}.prose :where(a code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(h1 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(h2 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.875em}.prose :where(h3 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.9em}.prose :where(h4 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(blockquote code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(thead th code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}.prose :where(pre):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-pre-code);background-color:var(--tw-prose-pre-bg);overflow-x:auto;font-weight:400;font-size:.875em;line-height:1.7142857;margin-top:1.7142857em;margin-bottom:1.7142857em;border-radius:.375rem;padding-top:.8571429em;padding-inline-end:1.1428571em;padding-bottom:.8571429em;padding-inline-start:1.1428571em}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)){background-color:transparent;border-width:0;border-radius:0;padding:0;font-weight:inherit;color:inherit;font-size:inherit;font-family:inherit;line-height:inherit}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:none}.prose :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:none}.prose :where(table):not(:where([class~=not-prose],[class~=not-prose] *)){width:100%;table-layout:auto;text-align:start;margin-top:2em;margin-bottom:2em;font-size:.875em;line-height:1.7142857}.prose :where(thead):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-th-borders)}.prose :where(thead th):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;vertical-align:bottom;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}.prose :where(tbody tr):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-td-borders)}.prose :where(tbody tr:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:0}.prose :where(tbody td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:baseline}.prose :where(tfoot):not(:where([class~=not-prose],[class~=not-prose] *)){border-top-width:1px;border-top-color:var(--tw-prose-th-borders)}.prose :where(tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:top}.prose :where(figure>*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}.prose :where(figcaption):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-captions);font-size:.875em;line-height:1.4285714;margin-top:.8571429em}.prose{--tw-prose-body: #374151;--tw-prose-headings: #111827;--tw-prose-lead: #4b5563;--tw-prose-links: #111827;--tw-prose-bold: #111827;--tw-prose-counters: #6b7280;--tw-prose-bullets: #d1d5db;--tw-prose-hr: #e5e7eb;--tw-prose-quotes: #111827;--tw-prose-quote-borders: #e5e7eb;--tw-prose-captions: #6b7280;--tw-prose-kbd: #111827;--tw-prose-kbd-shadows: 17 24 39;--tw-prose-code: #111827;--tw-prose-pre-code: #e5e7eb;--tw-prose-pre-bg: #1f2937;--tw-prose-th-borders: #d1d5db;--tw-prose-td-borders: #e5e7eb;--tw-prose-invert-body: #d1d5db;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #9ca3af;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #9ca3af;--tw-prose-invert-bullets: #4b5563;--tw-prose-invert-hr: #374151;--tw-prose-invert-quotes: #f3f4f6;--tw-prose-invert-quote-borders: #374151;--tw-prose-invert-captions: #9ca3af;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d1d5db;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #4b5563;--tw-prose-invert-td-borders: #374151;font-size:1rem;line-height:1.75}.prose :where(picture>img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}.prose :where(li):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;margin-bottom:.5em}.prose :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}.prose :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}.prose :where(.prose>ul>li p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}.prose :where(.prose>ul>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}.prose :where(.prose>ul>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}.prose :where(.prose>ol>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}.prose :where(.prose>ol>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}.prose :where(ul ul,ul ol,ol ul,ol ol):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}.prose :where(dl):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}.prose :where(dd):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;padding-inline-start:1.625em}.prose :where(hr+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h2+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h3+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(h4+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(thead th:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}.prose :where(thead th:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}.prose :where(tbody td,tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){padding-top:.5714286em;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}.prose :where(tbody td:first-child,tfoot td:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}.prose :where(tbody td:last-child,tfoot td:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}.prose :where(figure):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}.prose :where(.prose>:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}.prose :where(.prose>:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:0}.pointer-events-none{pointer-events:none}.visible{visibility:visible}.invisible{visibility:hidden}.static{position:static}.fixed{position:fixed}.absolute{position:absolute}.relative{position:relative}.-top-12{top:-3rem}.left-0{left:0}.left-2{left:.5rem}.right-0{right:0}.right-2{right:.5rem}.top-0{top:0}.top-1\/2{top:50%}.isolate{isolation:isolate}.z-50{z-index:50}.m-0{margin:0}.m-1{margin:.25rem}.mx-auto{margin-left:auto;margin-right:auto}.my-10{margin-top:2.5rem;margin-bottom:2.5rem}.my-4{margin-top:1rem;margin-bottom:1rem}.mb-6{margin-bottom:1.5rem}.mr-2{margin-right:.5rem}.mt-16{margin-top:4rem}.mt-24{margin-top:6rem}.line-clamp-1{overflow:hidden;display:-webkit-box;-webkit-box-orient:vertical;-webkit-line-clamp:1}.block{display:block}.inline-block{display:inline-block}.inline{display:inline}.flex{display:flex}.table{display:table}.grid{display:grid}.contents{display:contents}.hidden{display:none}.size-4{width:1rem;height:1rem}.size-5{width:1.25rem;height:1.25rem}.size-9{width:2.25rem;height:2.25rem}.h-fit{height:-moz-fit-content;height:fit-content}.h-screen{height:100vh}.max-h-\[80\%\]{max-height:80%}.w-fit{width:-moz-fit-content;width:fit-content}.w-full{width:100%}.max-w-screen-sm{max-width:640px}.flex-1{flex:1 1 0%}.flex-grow,.grow{flex-grow:1}.-translate-x-1{--tw-translate-x: -.25rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.-translate-y-1\/2{--tw-translate-y: -50%;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-1{--tw-translate-x: .25rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-2{--tw-translate-x: .5rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.translate-x-3{--tw-translate-x: .75rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.rotate-90{--tw-rotate: 90deg;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.scale-x-0{--tw-scale-x: 0;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.transform{transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.cursor-pointer{cursor:pointer}.select-none{-webkit-user-select:none;-moz-user-select:none;user-select:none}.resize{resize:both}.list-inside{list-style-position:inside}.list-disc{list-style-type:disc}.grid-cols-2{grid-template-columns:repeat(2,minmax(0,1fr))}.flex-row-reverse{flex-direction:row-reverse}.flex-col{flex-direction:column}.flex-wrap{flex-wrap:wrap}.flex-nowrap{flex-wrap:nowrap}.place-items-center{place-items:center}.items-center{align-items:center}.justify-center{justify-content:center}.justify-between{justify-content:space-between}.gap-1{gap:.25rem}.gap-1\.5{gap:.375rem}.gap-2{gap:.5rem}.gap-3{gap:.75rem}.gap-4{gap:1rem}.gap-x-2{-moz-column-gap:.5rem;column-gap:.5rem}.gap-y-2{row-gap:.5rem}.space-y-1>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(.25rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(.25rem * var(--tw-space-y-reverse))}.space-y-10>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(2.5rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(2.5rem * var(--tw-space-y-reverse))}.space-y-16>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(4rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(4rem * var(--tw-space-y-reverse))}.space-y-4>:not([hidden])~:not([hidden]){--tw-space-y-reverse: 0;margin-top:calc(1rem * calc(1 - var(--tw-space-y-reverse)));margin-bottom:calc(1rem * var(--tw-space-y-reverse))}.overflow-auto{overflow:auto}.truncate{overflow:hidden;text-overflow:ellipsis;white-space:nowrap}.text-nowrap{text-wrap:nowrap}.rounded{border-radius:.25rem}.rounded-lg{border-radius:.5rem}.rounded-t-lg{border-top-left-radius:.5rem;border-top-right-radius:.5rem}.border{border-width:1px}.border-black\/15{border-color:#00000026}.border-blue-800{--tw-border-opacity: 1;border-color:rgb(30 64 175 / var(--tw-border-opacity))}.border-orange-800{--tw-border-opacity: 1;border-color:rgb(154 52 18 / var(--tw-border-opacity))}.border-red-800{--tw-border-opacity: 1;border-color:rgb(153 27 27 / var(--tw-border-opacity))}.border-yellow-800{--tw-border-opacity: 1;border-color:rgb(133 77 14 / var(--tw-border-opacity))}.bg-black\/5{background-color:#0000000d}.bg-blue-100{--tw-bg-opacity: 1;background-color:rgb(219 234 254 / var(--tw-bg-opacity))}.bg-neutral-100{--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity))}.bg-orange-100{--tw-bg-opacity: 1;background-color:rgb(255 237 213 / var(--tw-bg-opacity))}.bg-red-100{--tw-bg-opacity: 1;background-color:rgb(254 226 226 / var(--tw-bg-opacity))}.bg-yellow-100{--tw-bg-opacity: 1;background-color:rgb(254 249 195 / var(--tw-bg-opacity))}.fill-none{fill:none}.stroke-current{stroke:currentColor}.stroke-2{stroke-width:2}.p-2{padding:.5rem}.p-3{padding:.75rem}.p-6{padding:1.5rem}.px-2{padding-left:.5rem;padding-right:.5rem}.px-3{padding-left:.75rem;padding-right:.75rem}.px-4{padding-left:1rem;padding-right:1rem}.px-6{padding-left:1.5rem;padding-right:1.5rem}.py-1{padding-top:.25rem;padding-bottom:.25rem}.py-1\.5{padding-top:.375rem;padding-bottom:.375rem}.py-3{padding-top:.75rem;padding-bottom:.75rem}.py-4{padding-top:1rem;padding-bottom:1rem}.pb-1{padding-bottom:.25rem}.pl-10{padding-left:2.5rem}.pl-7{padding-left:1.75rem}.pl-8{padding-left:2rem}.pr-10{padding-right:2.5rem}.pr-3{padding-right:.75rem}.pt-4{padding-top:1rem}.text-right{text-align:right}.text-2xl{font-size:1.5rem;line-height:2rem}.text-3xl{font-size:1.875rem;line-height:2.25rem}.text-sm{font-size:.875rem;line-height:1.25rem}.text-xs{font-size:.75rem;line-height:1rem}.font-bold{font-weight:700}.font-medium{font-weight:500}.font-semibold{font-weight:600}.uppercase{text-transform:uppercase}.lowercase{text-transform:lowercase}.text-black{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.text-blue-950{--tw-text-opacity: 1;color:rgb(23 37 84 / var(--tw-text-opacity))}.text-current{color:currentColor}.text-gray-500{--tw-text-opacity: 1;color:rgb(107 114 128 / var(--tw-text-opacity))}.text-orange-950{--tw-text-opacity: 1;color:rgb(67 20 7 / var(--tw-text-opacity))}.text-red-950{--tw-text-opacity: 1;color:rgb(69 10 10 / var(--tw-text-opacity))}.text-yellow-950{--tw-text-opacity: 1;color:rgb(66 32 6 / var(--tw-text-opacity))}.underline{text-decoration-line:underline}.no-underline{text-decoration-line:none}.decoration-black\/30{text-decoration-color:#0000004d}.underline-offset-\[3px\]{text-underline-offset:3px}.shadow-lg{--tw-shadow: 0 10px 15px -3px rgb(0 0 0 / .1), 0 4px 6px -4px rgb(0 0 0 / .1);--tw-shadow-colored: 0 10px 15px -3px var(--tw-shadow-color), 0 4px 6px -4px var(--tw-shadow-color);box-shadow:var(--tw-ring-offset-shadow, 0 0 #0000),var(--tw-ring-shadow, 0 0 #0000),var(--tw-shadow)}.outline{outline-style:solid}.ring{--tw-ring-offset-shadow: var(--tw-ring-inset) 0 0 0 var(--tw-ring-offset-width) var(--tw-ring-offset-color);--tw-ring-shadow: var(--tw-ring-inset) 0 0 0 calc(3px + var(--tw-ring-offset-width)) var(--tw-ring-color);box-shadow:var(--tw-ring-offset-shadow),var(--tw-ring-shadow),var(--tw-shadow, 0 0 #0000)}.grayscale{--tw-grayscale: grayscale(100%);filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow)}.filter{filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow)}.backdrop-blur-sm{--tw-backdrop-blur: blur(4px);-webkit-backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia)}.transition{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,-webkit-backdrop-filter;transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,backdrop-filter;transition-property:color,background-color,border-color,text-decoration-color,fill,stroke,opacity,box-shadow,transform,filter,backdrop-filter,-webkit-backdrop-filter;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.transition-colors{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.transition-transform{transition-property:transform;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.duration-300{transition-duration:.3s}.ease-in-out{transition-timing-function:cubic-bezier(.4,0,.2,1)}article a{font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";color:currentColor;text-decoration-line:underline;text-underline-offset:3px;text-decoration-color:#0000004d}article a:is(.dark *){text-decoration-color:#ffffff4d}article a{transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-duration:.3s;transition-timing-function:cubic-bezier(.4,0,.2,1)}article a:hover{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}article a:hover:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}article a:hover{text-decoration-color:#00000080}article a:hover:is(.dark *){text-decoration-color:#ffffff80}html{overflow-y:auto;color-scheme:light;scroll-padding-top:100px}html.dark{color-scheme:dark}html,body{width:100%;height:100%}body{font-family:Geist Sans,ui-sans-serif,system-ui,sans-serif,"Apple Color Emoji","Segoe UI Emoji",Segoe UI Symbol,"Noto Color Emoji";-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale;display:flex;flex-direction:column;--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity))}body:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}body{color:#000000bf}body:is(.dark *){color:#ffffffbf}header{position:fixed;left:0;right:0;top:0;z-index:50;padding-top:1.5rem;padding-bottom:1.5rem;background-color:#f5f5f5bf}header:is(.dark *){background-color:#171717bf}header{--tw-saturate: saturate(2);filter:var(--tw-blur) var(--tw-brightness) var(--tw-contrast) var(--tw-grayscale) var(--tw-hue-rotate) var(--tw-invert) var(--tw-saturate) var(--tw-sepia) var(--tw-drop-shadow);--tw-backdrop-blur: blur(4px);-webkit-backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia);backdrop-filter:var(--tw-backdrop-blur) var(--tw-backdrop-brightness) var(--tw-backdrop-contrast) var(--tw-backdrop-grayscale) var(--tw-backdrop-hue-rotate) var(--tw-backdrop-invert) var(--tw-backdrop-opacity) var(--tw-backdrop-saturate) var(--tw-backdrop-sepia)}main{flex:1 1 0%;padding-top:8rem;padding-bottom:8rem}footer{padding-top:1.5rem;padding-bottom:1.5rem;font-size:.875rem;line-height:1.25rem}article{color:var(--tw-prose-body);max-width:65ch}article :where(p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}article :where([class~=lead]):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-lead);font-size:1.25em;line-height:1.6;margin-top:1.2em;margin-bottom:1.2em}article :where(a):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-links);text-decoration:underline;font-weight:500}article :where(strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-bold);font-weight:600}article :where(a strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(blockquote strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(thead th strong):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(ol):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}article :where(ol[type=A]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}article :where(ol[type=a]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}article :where(ol[type=A s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-alpha}article :where(ol[type=a s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-alpha}article :where(ol[type=I]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}article :where(ol[type=i]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}article :where(ol[type=I s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:upper-roman}article :where(ol[type=i s]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:lower-roman}article :where(ol[type="1"]):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:decimal}article :where(ul):not(:where([class~=not-prose],[class~=not-prose] *)){list-style-type:disc;margin-top:1.25em;margin-bottom:1.25em;padding-inline-start:1.625em}article :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{font-weight:400;color:var(--tw-prose-counters)}article :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *))::marker{color:var(--tw-prose-bullets)}article :where(dt):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.25em}article :where(hr):not(:where([class~=not-prose],[class~=not-prose] *)){border-color:var(--tw-prose-hr);border-top-width:1px;margin-top:3em;margin-bottom:3em}article :where(blockquote):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-style:italic;color:var(--tw-prose-quotes);border-inline-start-width:.25rem;border-inline-start-color:var(--tw-prose-quote-borders);quotes:"“""”""‘""’";margin-top:1.6em;margin-bottom:1.6em;padding-inline-start:1em}article :where(blockquote p:first-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:open-quote}article :where(blockquote p:last-of-type):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:close-quote}article :where(h1):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:800;font-size:2.25em;margin-top:0;margin-bottom:.8888889em;line-height:1.1111111}article :where(h1 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:900;color:inherit}article :where(h2):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:700;font-size:1.5em;margin-top:2em;margin-bottom:1em;line-height:1.3333333}article :where(h2 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:800;color:inherit}article :where(h3):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;font-size:1.25em;margin-top:1.6em;margin-bottom:.6em;line-height:1.6}article :where(h3 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}article :where(h4):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;margin-top:1.5em;margin-bottom:.5em;line-height:1.5}article :where(h4 strong):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:700;color:inherit}article :where(img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(picture):not(:where([class~=not-prose],[class~=not-prose] *)){display:block;margin-top:2em;margin-bottom:2em}article :where(video):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(kbd):not(:where([class~=not-prose],[class~=not-prose] *)){font-weight:500;font-family:inherit;color:var(--tw-prose-kbd);box-shadow:0 0 0 1px rgb(var(--tw-prose-kbd-shadows) / 10%),0 3px rgb(var(--tw-prose-kbd-shadows) / 10%);font-size:.875em;border-radius:.3125rem;padding-top:.1875em;padding-inline-end:.375em;padding-bottom:.1875em;padding-inline-start:.375em}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-code);font-weight:600;font-size:.875em}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:"`"}article :where(code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:"`"}article :where(a code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(h1 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(h2 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.875em}article :where(h3 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit;font-size:.9em}article :where(h4 code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(blockquote code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(thead th code):not(:where([class~=not-prose],[class~=not-prose] *)){color:inherit}article :where(pre):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-pre-code);background-color:var(--tw-prose-pre-bg);overflow-x:auto;font-weight:400;font-size:.875em;line-height:1.7142857;margin-top:1.7142857em;margin-bottom:1.7142857em;border-radius:.375rem;padding-top:.8571429em;padding-inline-end:1.1428571em;padding-bottom:.8571429em;padding-inline-start:1.1428571em}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)){background-color:transparent;border-width:0;border-radius:0;padding:0;font-weight:inherit;color:inherit;font-size:inherit;font-family:inherit;line-height:inherit}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):before{content:none}article :where(pre code):not(:where([class~=not-prose],[class~=not-prose] *)):after{content:none}article :where(table):not(:where([class~=not-prose],[class~=not-prose] *)){width:100%;table-layout:auto;text-align:start;margin-top:2em;margin-bottom:2em;font-size:.875em;line-height:1.7142857}article :where(thead):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-th-borders)}article :where(thead th):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-headings);font-weight:600;vertical-align:bottom;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}article :where(tbody tr):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:1px;border-bottom-color:var(--tw-prose-td-borders)}article :where(tbody tr:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){border-bottom-width:0}article :where(tbody td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:baseline}article :where(tfoot):not(:where([class~=not-prose],[class~=not-prose] *)){border-top-width:1px;border-top-color:var(--tw-prose-th-borders)}article :where(tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){vertical-align:top}article :where(figure>*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}article :where(figcaption):not(:where([class~=not-prose],[class~=not-prose] *)){color:var(--tw-prose-captions);font-size:.875em;line-height:1.4285714;margin-top:.8571429em}article{--tw-prose-body: #374151;--tw-prose-headings: #111827;--tw-prose-lead: #4b5563;--tw-prose-links: #111827;--tw-prose-bold: #111827;--tw-prose-counters: #6b7280;--tw-prose-bullets: #d1d5db;--tw-prose-hr: #e5e7eb;--tw-prose-quotes: #111827;--tw-prose-quote-borders: #e5e7eb;--tw-prose-captions: #6b7280;--tw-prose-kbd: #111827;--tw-prose-kbd-shadows: 17 24 39;--tw-prose-code: #111827;--tw-prose-pre-code: #e5e7eb;--tw-prose-pre-bg: #1f2937;--tw-prose-th-borders: #d1d5db;--tw-prose-td-borders: #e5e7eb;--tw-prose-invert-body: #d1d5db;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #9ca3af;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #9ca3af;--tw-prose-invert-bullets: #4b5563;--tw-prose-invert-hr: #374151;--tw-prose-invert-quotes: #f3f4f6;--tw-prose-invert-quote-borders: #374151;--tw-prose-invert-captions: #9ca3af;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d1d5db;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #4b5563;--tw-prose-invert-td-borders: #374151;font-size:1rem;line-height:1.75}article :where(picture>img):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0;margin-bottom:0}article :where(li):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;margin-bottom:.5em}article :where(ol>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}article :where(ul>li):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:.375em}article :where(.prose>ul>li p):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}article :where(.prose>ul>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}article :where(.prose>ul>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}article :where(.prose>ol>li>p:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em}article :where(.prose>ol>li>p:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:1.25em}article :where(ul ul,ul ol,ol ul,ol ol):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.75em;margin-bottom:.75em}article :where(dl):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:1.25em;margin-bottom:1.25em}article :where(dd):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:.5em;padding-inline-start:1.625em}article :where(hr+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h2+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h3+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(h4+*):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(thead th:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}article :where(thead th:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}article :where(tbody td,tfoot td):not(:where([class~=not-prose],[class~=not-prose] *)){padding-top:.5714286em;padding-inline-end:.5714286em;padding-bottom:.5714286em;padding-inline-start:.5714286em}article :where(tbody td:first-child,tfoot td:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-start:0}article :where(tbody td:last-child,tfoot td:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){padding-inline-end:0}article :where(figure):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:2em;margin-bottom:2em}article :where(.prose>:first-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-top:0}article :where(.prose>:last-child):not(:where([class~=not-prose],[class~=not-prose] *)){margin-bottom:0}article{--tw-prose-body: #404040;--tw-prose-headings: #171717;--tw-prose-lead: #525252;--tw-prose-links: #171717;--tw-prose-bold: #171717;--tw-prose-counters: #737373;--tw-prose-bullets: #d4d4d4;--tw-prose-hr: #e5e5e5;--tw-prose-quotes: #171717;--tw-prose-quote-borders: #e5e5e5;--tw-prose-captions: #737373;--tw-prose-kbd: #171717;--tw-prose-kbd-shadows: 23 23 23;--tw-prose-code: #171717;--tw-prose-pre-code: #e5e5e5;--tw-prose-pre-bg: #262626;--tw-prose-th-borders: #d4d4d4;--tw-prose-td-borders: #e5e5e5;--tw-prose-invert-body: #d4d4d4;--tw-prose-invert-headings: #fff;--tw-prose-invert-lead: #a3a3a3;--tw-prose-invert-links: #fff;--tw-prose-invert-bold: #fff;--tw-prose-invert-counters: #a3a3a3;--tw-prose-invert-bullets: #525252;--tw-prose-invert-hr: #404040;--tw-prose-invert-quotes: #f5f5f5;--tw-prose-invert-quote-borders: #404040;--tw-prose-invert-captions: #a3a3a3;--tw-prose-invert-kbd: #fff;--tw-prose-invert-kbd-shadows: 255 255 255;--tw-prose-invert-code: #fff;--tw-prose-invert-pre-code: #d4d4d4;--tw-prose-invert-pre-bg: rgb(0 0 0 / 50%);--tw-prose-invert-th-borders: #525252;--tw-prose-invert-td-borders: #404040;max-width:100%}article:is(.dark *){--tw-prose-body: var(--tw-prose-invert-body);--tw-prose-headings: var(--tw-prose-invert-headings);--tw-prose-lead: var(--tw-prose-invert-lead);--tw-prose-links: var(--tw-prose-invert-links);--tw-prose-bold: var(--tw-prose-invert-bold);--tw-prose-counters: var(--tw-prose-invert-counters);--tw-prose-bullets: var(--tw-prose-invert-bullets);--tw-prose-hr: var(--tw-prose-invert-hr);--tw-prose-quotes: var(--tw-prose-invert-quotes);--tw-prose-quote-borders: var(--tw-prose-invert-quote-borders);--tw-prose-captions: var(--tw-prose-invert-captions);--tw-prose-kbd: var(--tw-prose-invert-kbd);--tw-prose-kbd-shadows: var(--tw-prose-invert-kbd-shadows);--tw-prose-code: var(--tw-prose-invert-code);--tw-prose-pre-code: var(--tw-prose-invert-pre-code);--tw-prose-pre-bg: var(--tw-prose-invert-pre-bg);--tw-prose-th-borders: var(--tw-prose-invert-th-borders);--tw-prose-td-borders: var(--tw-prose-invert-td-borders)}article :is(:where(img):not(:where([class~=not-prose],[class~=not-prose] *))){margin:auto}article :is(:where(h1,h2,h3,h4,h5,h6,th):not(:where([class~=not-prose],[class~=not-prose] *))){font-weight:600;--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}article:is(.dark *) :is(:where(h1,h2,h3,h4,h5,h6,th):not(:where([class~=not-prose],[class~=not-prose] *))){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.animate{--tw-translate-y: -.75rem;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));opacity:0;transition-property:all;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.3s;transition-timing-function:cubic-bezier(0,0,.2,1)}.animate.show{--tw-translate-y: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));opacity:1}html #back-to-top{pointer-events:none;opacity:0}html.scrolled #back-to-top{pointer-events:auto;opacity:1}pre{border-width:1px;border-color:#00000026;padding-top:1.25rem;padding-bottom:1.25rem}pre:is(.dark *){border-color:#fff3}:root{--astro-code-color-text: #09090b;--astro-code-color-background: #fafafa;--astro-code-token-comment: #a19595;--astro-code-token-keyword: #f47067;--astro-code-token-string: #00a99a;--astro-code-token-function: #429996;--astro-code-token-constant: #2b70c5;--astro-code-token-parameter: #4e8fdf;--astro-code-token-string-expression: #ae42a0;--astro-code-token-punctuation: #8996a3;--astro-code-token-link: #8d85ff}.dark{--astro-code-color-text: #fafafa;--astro-code-color-background: #09090b;--astro-code-token-comment: #a19595;--astro-code-token-keyword: #f47067;--astro-code-token-string: #00a99a;--astro-code-token-function: #6eafad;--astro-code-token-constant: #b3cceb;--astro-code-token-parameter: #4e8fdf;--astro-code-token-string-expression: #bf7db6;--astro-code-token-punctuation: #8996a3;--astro-code-token-link: #8d85ff}.copy-code{position:absolute;right:.75rem;top:.75rem;display:grid;width:2.25rem;height:2.25rem;place-content:center;border-radius:.25rem;border-width:1px;border-color:#00000026;--tw-bg-opacity: 1;background-color:rgb(245 245 245 / var(--tw-bg-opacity));text-align:center;transition-duration:.3s;transition-timing-function:cubic-bezier(.4,0,.2,1)}.copy-code:is(.dark *){border-color:#fff3;--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}.copy-code:hover{--tw-bg-opacity: 1;background-color:rgb(233 233 233 / var(--tw-bg-opacity));transition-property:color,background-color,border-color,text-decoration-color,fill,stroke;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.copy-code:hover:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(35 35 35 / var(--tw-bg-opacity))}.copy-code:active{--tw-scale-x: .9;--tw-scale-y: .9;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y));transition-property:transform;transition-timing-function:cubic-bezier(.4,0,.2,1);transition-duration:.15s}.dark\:prose-invert:is(.dark *){--tw-prose-body: var(--tw-prose-invert-body);--tw-prose-headings: var(--tw-prose-invert-headings);--tw-prose-lead: var(--tw-prose-invert-lead);--tw-prose-links: var(--tw-prose-invert-links);--tw-prose-bold: var(--tw-prose-invert-bold);--tw-prose-counters: var(--tw-prose-invert-counters);--tw-prose-bullets: var(--tw-prose-invert-bullets);--tw-prose-hr: var(--tw-prose-invert-hr);--tw-prose-quotes: var(--tw-prose-invert-quotes);--tw-prose-quote-borders: var(--tw-prose-invert-quote-borders);--tw-prose-captions: var(--tw-prose-invert-captions);--tw-prose-kbd: var(--tw-prose-invert-kbd);--tw-prose-kbd-shadows: var(--tw-prose-invert-kbd-shadows);--tw-prose-code: var(--tw-prose-invert-code);--tw-prose-pre-code: var(--tw-prose-invert-pre-code);--tw-prose-pre-bg: var(--tw-prose-invert-pre-bg);--tw-prose-th-borders: var(--tw-prose-invert-th-borders);--tw-prose-td-borders: var(--tw-prose-invert-td-borders)}.hover\:bg-black\/5:hover{background-color:#0000000d}.hover\:text-black:hover{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.hover\:decoration-black\/50:hover{text-decoration-color:#00000080}.focus-visible\:bg-black\/5:focus-visible{background-color:#0000000d}.focus-visible\:text-black:focus-visible{--tw-text-opacity: 1;color:rgb(0 0 0 / var(--tw-text-opacity))}.focus-visible\:decoration-black\/50:focus-visible{text-decoration-color:#00000080}.group:hover .group-hover\:translate-x-0{--tw-translate-x: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:hover .group-hover\:scale-x-100{--tw-scale-x: 1;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:hover .group-hover\:animate-pulse{animation:pulse 2s cubic-bezier(.4,0,.6,1) infinite}.group:hover .group-hover\:stroke-black{stroke:#000}.group:focus-visible .group-focus-visible\:translate-x-0{--tw-translate-x: 0px;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}.group:focus-visible .group-focus-visible\:scale-x-100{--tw-scale-x: 1;transform:translate(var(--tw-translate-x),var(--tw-translate-y)) rotate(var(--tw-rotate)) skew(var(--tw-skew-x)) skewY(var(--tw-skew-y)) scaleX(var(--tw-scale-x)) scaleY(var(--tw-scale-y))}@keyframes pulse{50%{opacity:.5}}.group:focus-visible .group-focus-visible\:animate-pulse{animation:pulse 2s cubic-bezier(.4,0,.6,1) infinite}.group:focus-visible .group-focus-visible\:stroke-black{stroke:#000}.dark\:border-blue-200\/20:is(.dark *){border-color:#bfdbfe33}.dark\:border-orange-200\/20:is(.dark *){border-color:#fed7aa33}.dark\:border-red-200\/20:is(.dark *){border-color:#fecaca33}.dark\:border-white\/20:is(.dark *){border-color:#fff3}.dark\:border-yellow-200\/20:is(.dark *){border-color:#fef08a33}.dark\:bg-blue-950\/20:is(.dark *){background-color:#17255433}.dark\:bg-neutral-900:is(.dark *){--tw-bg-opacity: 1;background-color:rgb(23 23 23 / var(--tw-bg-opacity))}.dark\:bg-orange-950\/20:is(.dark *){background-color:#43140733}.dark\:bg-red-950\/20:is(.dark *){background-color:#450a0a33}.dark\:bg-white\/5:is(.dark *){background-color:#ffffff0d}.dark\:bg-yellow-950\/20:is(.dark *){background-color:#42200633}.dark\:text-gray-400:is(.dark *){--tw-text-opacity: 1;color:rgb(156 163 175 / var(--tw-text-opacity))}.dark\:text-white:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:decoration-white\/30:is(.dark *){text-decoration-color:#ffffff4d}.dark\:hover\:bg-white\/5:hover:is(.dark *){background-color:#ffffff0d}.dark\:hover\:text-white:hover:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:hover\:decoration-white\/50:hover:is(.dark *){text-decoration-color:#ffffff80}.dark\:focus-visible\:bg-white\/5:focus-visible:is(.dark *){background-color:#ffffff0d}.dark\:focus-visible\:text-white:focus-visible:is(.dark *){--tw-text-opacity: 1;color:rgb(255 255 255 / var(--tw-text-opacity))}.dark\:focus-visible\:decoration-white\/50:focus-visible:is(.dark *){text-decoration-color:#ffffff80}.group:hover .group-hover\:dark\:stroke-white:is(.dark *){stroke:#fff}.group:focus-visible .dark\:group-focus-visible\:stroke-white:is(.dark *){stroke:#fff}@media (min-width: 640px){.sm\:gap-3{gap:.75rem}}.astro-route-announcer{position:absolute;left:0;top:0;clip:rect(0 0 0 0);clip-path:inset(50%);overflow:hidden;white-space:nowrap;width:1px;height:1px}@font-face{font-family:Geist Sans;font-style:normal;font-display:swap;font-weight:400;src:url(/_astro/geist-sans-latin-400-normal.gapTbOY8.woff2) format("woff2"),url(/_astro/geist-sans-latin-400-normal.BOaIZNA2.woff) format("woff")}@font-face{font-family:Geist Mono;font-style:normal;font-display:swap;font-weight:400;src:url(/_astro/geist-mono-latin-400-normal.ao2e9zgx.woff2) format("woff2"),url(/_astro/geist-mono-latin-400-normal.CQcZBlNU.woff) format("woff")}@keyframes astroFadeInOut{0%{opacity:1}to{opacity:0}}@keyframes astroFadeIn{0%{opacity:0}}@keyframes astroFadeOut{to{opacity:0}}@keyframes astroSlideFromRight{0%{transform:translate(100%)}}@keyframes astroSlideFromLeft{0%{transform:translate(-100%)}}@keyframes astroSlideToRight{to{transform:translate(100%)}}@keyframes astroSlideToLeft{to{transform:translate(-100%)}}@media (prefers-reduced-motion){::view-transition-group(*),::view-transition-old(*),::view-transition-new(*){animation:none!important}[data-astro-transition-scope]{animation:none!important}}.pagefind-ui__result.svelte-j9e30.svelte-j9e30{list-style-type:none;display:flex;align-items:flex-start;gap:min(calc(40px * var(--pagefind-ui-scale)),3%);padding:calc(30px * var(--pagefind-ui-scale)) 0 calc(40px * var(--pagefind-ui-scale));border-top:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result.svelte-j9e30.svelte-j9e30:last-of-type{border-bottom:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result-thumb.svelte-j9e30.svelte-j9e30{width:min(30%,calc((30% - (100px * var(--pagefind-ui-scale))) * 100000));max-width:calc(120px * var(--pagefind-ui-scale));margin-top:calc(10px * var(--pagefind-ui-scale));aspect-ratio:var(--pagefind-ui-image-box-ratio);position:relative}.pagefind-ui__result-image.svelte-j9e30.svelte-j9e30{display:block;position:absolute;left:50%;transform:translate(-50%);font-size:0;width:auto;height:auto;max-width:100%;max-height:100%;border-radius:var(--pagefind-ui-image-border-radius)}.pagefind-ui__result-inner.svelte-j9e30.svelte-j9e30{flex:1;display:flex;flex-direction:column;align-items:flex-start;margin-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-title.svelte-j9e30.svelte-j9e30{display:inline-block;font-weight:700;font-size:calc(21px * var(--pagefind-ui-scale));margin-top:0;margin-bottom:0}.pagefind-ui__result-title.svelte-j9e30 .pagefind-ui__result-link.svelte-j9e30{color:var(--pagefind-ui-text);text-decoration:none}.pagefind-ui__result-title.svelte-j9e30 .pagefind-ui__result-link.svelte-j9e30:hover{text-decoration:underline}.pagefind-ui__result-excerpt.svelte-j9e30.svelte-j9e30{display:inline-block;font-weight:400;font-size:calc(16px * var(--pagefind-ui-scale));margin-top:calc(4px * var(--pagefind-ui-scale));margin-bottom:0;min-width:calc(250px * var(--pagefind-ui-scale))}.pagefind-ui__loading.svelte-j9e30.svelte-j9e30{color:var(--pagefind-ui-text);background-color:var(--pagefind-ui-text);border-radius:var(--pagefind-ui-border-radius);opacity:.1;pointer-events:none}.pagefind-ui__result-tags.svelte-j9e30.svelte-j9e30{list-style-type:none;padding:0;display:flex;gap:calc(20px * var(--pagefind-ui-scale));flex-wrap:wrap;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-tag.svelte-j9e30.svelte-j9e30{padding:calc(4px * var(--pagefind-ui-scale)) calc(8px * var(--pagefind-ui-scale));font-size:calc(14px * var(--pagefind-ui-scale));border-radius:var(--pagefind-ui-border-radius);background-color:var(--pagefind-ui-tag)}.pagefind-ui__result.svelte-4xnkmf.svelte-4xnkmf{list-style-type:none;display:flex;align-items:flex-start;gap:min(calc(40px * var(--pagefind-ui-scale)),3%);padding:calc(30px * var(--pagefind-ui-scale)) 0 calc(40px * var(--pagefind-ui-scale));border-top:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result.svelte-4xnkmf.svelte-4xnkmf:last-of-type{border-bottom:solid var(--pagefind-ui-border-width) var(--pagefind-ui-border)}.pagefind-ui__result-nested.svelte-4xnkmf.svelte-4xnkmf{display:flex;flex-direction:column;padding-left:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-nested.svelte-4xnkmf.svelte-4xnkmf:first-of-type{padding-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-nested.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf{font-size:.9em;position:relative}.pagefind-ui__result-nested.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf:before{content:"⤷ ";position:absolute;top:0;right:calc(100% + .1em)}.pagefind-ui__result-thumb.svelte-4xnkmf.svelte-4xnkmf{width:min(30%,calc((30% - (100px * var(--pagefind-ui-scale))) * 100000));max-width:calc(120px * var(--pagefind-ui-scale));margin-top:calc(10px * var(--pagefind-ui-scale));aspect-ratio:var(--pagefind-ui-image-box-ratio);position:relative}.pagefind-ui__result-image.svelte-4xnkmf.svelte-4xnkmf{display:block;position:absolute;left:50%;transform:translate(-50%);font-size:0;width:auto;height:auto;max-width:100%;max-height:100%;border-radius:var(--pagefind-ui-image-border-radius)}.pagefind-ui__result-inner.svelte-4xnkmf.svelte-4xnkmf{flex:1;display:flex;flex-direction:column;align-items:flex-start;margin-top:calc(10px * var(--pagefind-ui-scale))}.pagefind-ui__result-title.svelte-4xnkmf.svelte-4xnkmf{display:inline-block;font-weight:700;font-size:calc(21px * var(--pagefind-ui-scale));margin-top:0;margin-bottom:0}.pagefind-ui__result-title.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf{color:var(--pagefind-ui-text);text-decoration:none}.pagefind-ui__result-title.svelte-4xnkmf .pagefind-ui__result-link.svelte-4xnkmf:hover{text-decoration:underline}.pagefind-ui__result-excerpt.svelte-4xnkmf.svelte-4xnkmf{display:inline-block;font-weight:400;font-size:calc(16px * var(--pagefind-ui-scale));margin-top:calc(4px * var(--pagefind-ui-scale));margin-bottom:0;min-width:calc(250px * var(--pagefind-ui-scale))}.pagefind-ui__loading.svelte-4xnkmf.svelte-4xnkmf{color:var(--pagefind-ui-text);background-color:var(--pagefind-ui-text);border-radius:var(--pagefind-ui-border-radius);opacity:.1;pointer-events:none}.pagefind-ui__result-tags.svelte-4xnkmf.svelte-4xnkmf{list-style-type:none;padding:0;display:flex;gap:calc(20px * var(--pagefind-ui-scale));flex-wrap:wrap;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__result-tag.svelte-4xnkmf.svelte-4xnkmf{padding:calc(4px * var(--pagefind-ui-scale)) calc(8px * var(--pagefind-ui-scale));font-size:calc(14px * var(--pagefind-ui-scale));border-radius:var(--pagefind-ui-border-radius);background-color:var(--pagefind-ui-tag)}legend.svelte-1v2r7ls.svelte-1v2r7ls{position:absolute;clip:rect(0 0 0 0)}.pagefind-ui__filter-panel.svelte-1v2r7ls.svelte-1v2r7ls{min-width:min(calc(260px * var(--pagefind-ui-scale)),100%);flex:1;display:flex;flex-direction:column;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__filter-group.svelte-1v2r7ls.svelte-1v2r7ls{border:0;padding:0}.pagefind-ui__filter-block.svelte-1v2r7ls.svelte-1v2r7ls{padding:0;display:block;border-bottom:solid calc(2px * var(--pagefind-ui-scale)) var(--pagefind-ui-border);padding:calc(20px * var(--pagefind-ui-scale)) 0}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls{font-size:calc(16px * var(--pagefind-ui-scale));position:relative;display:flex;align-items:center;list-style:none;font-weight:700;cursor:pointer;height:calc(24px * var(--pagefind-ui-scale))}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls::-webkit-details-marker{display:none}.pagefind-ui__filter-name.svelte-1v2r7ls.svelte-1v2r7ls:after{position:absolute;content:"";right:calc(6px * var(--pagefind-ui-scale));top:50%;width:calc(8px * var(--pagefind-ui-scale));height:calc(8px * var(--pagefind-ui-scale));border:solid calc(2px * var(--pagefind-ui-scale)) currentColor;border-right:0;border-top:0;transform:translateY(-70%) rotate(-45deg)}.pagefind-ui__filter-block[open].svelte-1v2r7ls .pagefind-ui__filter-name.svelte-1v2r7ls:after{transform:translateY(-70%) rotate(-225deg)}.pagefind-ui__filter-group.svelte-1v2r7ls.svelte-1v2r7ls{display:flex;flex-direction:column;gap:calc(20px * var(--pagefind-ui-scale));padding-top:calc(30px * var(--pagefind-ui-scale))}.pagefind-ui__filter-value.svelte-1v2r7ls.svelte-1v2r7ls{position:relative;display:flex;align-items:center;gap:calc(8px * var(--pagefind-ui-scale))}.pagefind-ui__filter-value.svelte-1v2r7ls.svelte-1v2r7ls:before{position:absolute;content:"";top:50%;left:calc(8px * var(--pagefind-ui-scale));width:0px;height:0px;border:solid 1px #fff;opacity:0;transform:translate(calc(4.5px * var(--pagefind-ui-scale) * -1),calc(.8px * var(--pagefind-ui-scale))) skew(-5deg) rotate(-45deg);transform-origin:top left;border-top:0;border-right:0;pointer-events:none}.pagefind-ui__filter-value.pagefind-ui__filter-value--checked.svelte-1v2r7ls.svelte-1v2r7ls:before{opacity:1;width:calc(9px * var(--pagefind-ui-scale));height:calc(4px * var(--pagefind-ui-scale));transition:width .1s ease-out .1s,height .1s ease-in}.pagefind-ui__filter-checkbox.svelte-1v2r7ls.svelte-1v2r7ls{margin:0;width:calc(16px * var(--pagefind-ui-scale));height:calc(16px * var(--pagefind-ui-scale));border:solid 1px var(--pagefind-ui-border);-moz-appearance:none;appearance:none;-webkit-appearance:none;border-radius:calc(var(--pagefind-ui-border-radius) / 2);background-color:var(--pagefind-ui-background);cursor:pointer}.pagefind-ui__filter-checkbox.svelte-1v2r7ls.svelte-1v2r7ls:checked{background-color:var(--pagefind-ui-primary);border:solid 1px var(--pagefind-ui-primary)}.pagefind-ui__filter-label.svelte-1v2r7ls.svelte-1v2r7ls{cursor:pointer;font-size:calc(16px * var(--pagefind-ui-scale));font-weight:400}.pagefind-ui--reset *:where(:not(html,iframe,canvas,img,svg,video):not(svg *,symbol *)){all:unset;display:revert;outline:revert}.pagefind-ui--reset *,.pagefind-ui--reset *:before,.pagefind-ui--reset *:after{box-sizing:border-box}.pagefind-ui--reset a,.pagefind-ui--reset button{cursor:revert}.pagefind-ui--reset ol,.pagefind-ui--reset ul,.pagefind-ui--reset menu{list-style:none}.pagefind-ui--reset img{max-width:100%}.pagefind-ui--reset table{border-collapse:collapse}.pagefind-ui--reset input,.pagefind-ui--reset textarea{-webkit-user-select:auto}.pagefind-ui--reset textarea{white-space:revert}.pagefind-ui--reset meter{-webkit-appearance:revert;-moz-appearance:revert;appearance:revert}.pagefind-ui--reset ::-moz-placeholder{color:unset}.pagefind-ui--reset ::placeholder{color:unset}.pagefind-ui--reset :where([hidden]){display:none}.pagefind-ui--reset :where([contenteditable]:not([contenteditable=false])){-moz-user-modify:read-write;-webkit-user-modify:read-write;overflow-wrap:break-word;-webkit-line-break:after-white-space;-webkit-user-select:auto}.pagefind-ui--reset :where([draggable=true]){-webkit-user-drag:element}.pagefind-ui--reset mark{all:revert}:root{--pagefind-ui-scale:.8;--pagefind-ui-primary:#393939;--pagefind-ui-text:#393939;--pagefind-ui-background:#ffffff;--pagefind-ui-border:#eeeeee;--pagefind-ui-tag:#eeeeee;--pagefind-ui-border-width:2px;--pagefind-ui-border-radius:8px;--pagefind-ui-image-border-radius:8px;--pagefind-ui-image-box-ratio:3 / 2;--pagefind-ui-font:system, -apple-system, "BlinkMacSystemFont", ".SFNSText-Regular", "San Francisco", "Roboto", "Segoe UI", "Helvetica Neue", "Lucida Grande", "Ubuntu", "arial", sans-serif}.pagefind-ui.svelte-e9gkc3{width:100%;color:var(--pagefind-ui-text);font-family:var(--pagefind-ui-font)}.pagefind-ui__hidden.svelte-e9gkc3{display:none!important}.pagefind-ui__suppressed.svelte-e9gkc3{opacity:0;pointer-events:none}.pagefind-ui__form.svelte-e9gkc3{position:relative}.pagefind-ui__form.svelte-e9gkc3:before{background-color:var(--pagefind-ui-text);width:calc(18px * var(--pagefind-ui-scale));height:calc(18px * var(--pagefind-ui-scale));top:calc(23px * var(--pagefind-ui-scale));left:calc(20px * var(--pagefind-ui-scale));content:"";position:absolute;display:block;opacity:.7;-webkit-mask-image:url("data:image/svg+xml,%3Csvg width='18' height='18' viewBox='0 0 18 18' fill='none' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='M12.7549 11.255H11.9649L11.6849 10.985C12.6649 9.845 13.2549 8.365 13.2549 6.755C13.2549 3.165 10.3449 0.255005 6.75488 0.255005C3.16488 0.255005 0.254883 3.165 0.254883 6.755C0.254883 10.345 3.16488 13.255 6.75488 13.255C8.36488 13.255 9.84488 12.665 10.9849 11.685L11.2549 11.965V12.755L16.2549 17.745L17.7449 16.255L12.7549 11.255ZM6.75488 11.255C4.26488 11.255 2.25488 9.245 2.25488 6.755C2.25488 4.26501 4.26488 2.255 6.75488 2.255C9.24488 2.255 11.2549 4.26501 11.2549 6.755C11.2549 9.245 9.24488 11.255 6.75488 11.255Z' fill='%23000000'/%3E%3C/svg%3E%0A");mask-image:url("data:image/svg+xml,%3Csvg width='18' height='18' viewBox='0 0 18 18' fill='none' xmlns='http://www.w3.org/2000/svg'%3E%3Cpath d='M12.7549 11.255H11.9649L11.6849 10.985C12.6649 9.845 13.2549 8.365 13.2549 6.755C13.2549 3.165 10.3449 0.255005 6.75488 0.255005C3.16488 0.255005 0.254883 3.165 0.254883 6.755C0.254883 10.345 3.16488 13.255 6.75488 13.255C8.36488 13.255 9.84488 12.665 10.9849 11.685L11.2549 11.965V12.755L16.2549 17.745L17.7449 16.255L12.7549 11.255ZM6.75488 11.255C4.26488 11.255 2.25488 9.245 2.25488 6.755C2.25488 4.26501 4.26488 2.255 6.75488 2.255C9.24488 2.255 11.2549 4.26501 11.2549 6.755C11.2549 9.245 9.24488 11.255 6.75488 11.255Z' fill='%23000000'/%3E%3C/svg%3E%0A");-webkit-mask-size:100%;mask-size:100%;z-index:9;pointer-events:none}.pagefind-ui__search-input.svelte-e9gkc3{height:calc(64px * var(--pagefind-ui-scale));padding:0 calc(70px * var(--pagefind-ui-scale)) 0 calc(54px * var(--pagefind-ui-scale));background-color:var(--pagefind-ui-background);border:var(--pagefind-ui-border-width) solid var(--pagefind-ui-border);border-radius:var(--pagefind-ui-border-radius);font-size:calc(21px * var(--pagefind-ui-scale));position:relative;-moz-appearance:none;appearance:none;-webkit-appearance:none;display:flex;width:100%;box-sizing:border-box;font-weight:700}.pagefind-ui__search-input.svelte-e9gkc3::-moz-placeholder{opacity:.2}.pagefind-ui__search-input.svelte-e9gkc3::placeholder{opacity:.2}.pagefind-ui__search-clear.svelte-e9gkc3{position:absolute;top:calc(3px * var(--pagefind-ui-scale));right:calc(3px * var(--pagefind-ui-scale));height:calc(58px * var(--pagefind-ui-scale));padding:0 calc(15px * var(--pagefind-ui-scale)) 0 calc(2px * var(--pagefind-ui-scale));color:var(--pagefind-ui-text);font-size:calc(14px * var(--pagefind-ui-scale));cursor:pointer;background-color:var(--pagefind-ui-background);border-radius:var(--pagefind-ui-border-radius)}.pagefind-ui__drawer.svelte-e9gkc3{gap:calc(60px * var(--pagefind-ui-scale));display:flex;flex-direction:row;flex-wrap:wrap}.pagefind-ui__results-area.svelte-e9gkc3{min-width:min(calc(400px * var(--pagefind-ui-scale)),100%);flex:1000;margin-top:calc(20px * var(--pagefind-ui-scale))}.pagefind-ui__results.svelte-e9gkc3{padding:0}.pagefind-ui__message.svelte-e9gkc3{box-sizing:content-box;font-size:calc(16px * var(--pagefind-ui-scale));height:calc(24px * var(--pagefind-ui-scale));padding:calc(20px * var(--pagefind-ui-scale)) 0;display:flex;align-items:center;font-weight:700;margin-top:0}.pagefind-ui__button.svelte-e9gkc3{margin-top:calc(40px * var(--pagefind-ui-scale));border:var(--pagefind-ui-border-width) solid var(--pagefind-ui-border);border-radius:var(--pagefind-ui-border-radius);height:calc(48px * var(--pagefind-ui-scale));padding:0 calc(12px * var(--pagefind-ui-scale));font-size:calc(16px * var(--pagefind-ui-scale));color:var(--pagefind-ui-primary);background:var(--pagefind-ui-background);width:100%;text-align:center;font-weight:700;cursor:pointer}.pagefind-ui__button.svelte-e9gkc3:hover{border-color:var(--pagefind-ui-primary);color:var(--pagefind-ui-primary);background:var(--pagefind-ui-background)}:root{--pagefind-ui-scale: .75;--pagefind-ui-border-width: 1px;--pagefind-ui-border-radius: 3px;--pagefind-ui-font: "Geist", sans-serif;--pagefind-ui-primary: #3d3d3d;--pagefind-ui-text: #3d3d3d;--pagefind-ui-background: #ffffff;--pagefind-ui-border: #d0d0d0;--pagefind-ui-tag: #f5f5f5}.dark{--pagefind-ui-primary: #d4d4d4;--pagefind-ui-text: #d4d4d4;--pagefind-ui-background: #171717;--pagefind-ui-border: #404040}#search input,#search p{font-weight:400}#search .pagefind-ui__result-title{font-weight:600}#search .pagefind-ui__message{padding:0;padding-bottom:.75rem} diff --git a/chalmers/dat038/dat038/index.html b/chalmers/dat038/dat038/index.html index 5ff6d7df..a6b208f9 100644 --- a/chalmers/dat038/dat038/index.html +++ b/chalmers/dat038/dat038/index.html @@ -214,7 +214,7 @@ document.addEventListener("DOMContentLoaded", () => init()); document.addEventListener("astro:after-swap", () => init()); preloadTheme(); - +
rezvan.xyz

Data Structures Algorithms (DAT038)

© 2024 • rezvan.xyz

+
rezvan.xyz
Back to biomedical systems and control
BME3105
+• +
+• +
6 min read

Part 3 - Modelling in Frequency Domain

Table of Contents

Introduction

+

We will deal with SISO (Single-Input Single-Output) systems and introducing the Laplace transform.

+

MIMO (Multiple-Input Multiple-Output) usually use a different set of mathematical machinery (matrix representation of systems, called state space form). +We will uncover this but later on, but primarily focus is on SISO.

+

As we saw last time, differential equations can be used to represent relationship between input and output of a system. +$$ +a_2 \frac{d^2y}{dt^2} + a_1 \frac{dy}{dt} + y = b_2 \frac{d^2x}{dt^2} + b_1 \frac{dx}{dt} + b_0 x +$$

+

However, there is a problem, system parameters and input and output appear throughout the equation.

+

We would like to represent the system where the input and output are separated from the system parameters.

+

Block Diagrams

+

As we have seen in Lecture 1, we want to be able to represent the system as series of cascading subsystems, which can easily be combined together.

+

However, this can not be achieved (easily) with differential equations.

+

Laplace Transform

+

The Laplace transform is a mathematical tool that allows us to convert a differential equation into an algebraic equation.

+

With this, we can represent the mathematical description of a given system with its block diagram representation.

+

Definition

+
+
+

$$ +\mathcal{L}\{f(t)\} = \int_0^{\infty} f(t) e^{-st} dt = F(s) +$$

+

where $F$ is a complex-valued function of complex numbers.

+

$s$ is called the (complex) frequency variable, with units $s^{-1}$.

+

$t$ is called the time variable, with units $s$.

+

Later on we will use $s = \sigma + j\omega$ where $\sigma$ is the real part and $\omega$ is the imaginary part.

+

Notice that $F(s)$ contains no information about $f(t)$ for $t < 0$, this is called the one-sided Laplace transform.

+

In controls, the mathematical definition of the Laplace transform is rarely used, instead we use tables of Laplace transforms.

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
$f(t)$$F(s)$
$\delta(t)$1
$u(t)$$\frac{1}{s}$
$tu(t)$$\frac{1}{s^2}$
$t^n u(t)$$\frac{n!}{s^{n+1}}$
$e^{-at} u(t)$$\frac{1}{s+a}$
$sin(\omega t) u(t)$$\frac{\omega}{s^2 + \omega^2}$
$cos(\omega t) u(t)$$\frac{s}{s^2 + \omega^2}$
+

Important Properties of Laplace Transform

+
    +
  1. +

    Linearity +$$ +\mathcal{L}\{k_1 f_1(t) \pm k_2 f_2(t)\} = k_1 F_1(s) \pm k_2 F_2(s) +$$

    +
    2. +
  2. +

    Differentiation +$$ +\mathcal{L}\{\frac{d f(t)}{dt}\} = s F(s) - f(0) \newline +\mathcal{L}\{\frac{d^2 f(t)}{dt^2}\} = s^2 F(s) - s f(0) - f’(0) \newline +\vdots +$$

    +
    3. +
  3. +

    Frequency Shifting +$$ +\mathcal{L}\{e^{-at} f(t)\} = F(s+a) +$$

    +
    4. +
+

There are some other ones, but these are the most important ones.

+

Inverse Laplace Transform

+

The inverse Laplace transform is the operation that allows us to go from the Laplace domain to the time domain.

+
+
+

$$ +\mathcal{L}^{-1}\{F(s)\} = \frac{1}{2\pi j} \int_{\sigma-j\infty}^{\sigma+j\infty} F(s) e^{st} ds +$$

+

where $j$ is the imaginary unit, $j = \sqrt{-1}$.

+

We will not use the definition of the inverse Laplace transform, instead we will use tables of inverse Laplace transforms.

+

Transfer Functions

+

A tranfer function is a relationship between the Laplace Transform of 2 signals (input and output) of a system.

+

Say that we have a block diagram of a system, with input $U(s)$ and output $Y(s)$. +Where $U(s)$ is the Laplace transform of the input signal $u(t)$ and $Y(s)$ is the Laplace transform of the output signal $y(t)$.

+

The transfer function $G(s)$ is defined as +$$ +G(s) = \frac{Y(s)}{U(s)}. +$$

+

when the initial conditions are zero.

+

Example

+

Consider the following system +$$ +a_0 \frac{d^n y}{dt^n} + a_1 \frac{d^{n-1} y}{dt^{n-1}} + \cdots + a_{n-1} \frac{dy}{dt} + a_n y = b_0 \frac{d^m u}{dt^m} + b_1 \frac{d^{m-1} u}{dt^{m-1}} + \cdots + b_{m-1} \frac{du}{dt} + b_m u +$$

+

Taking the Laplace transform of both sides, we get +$$ +[a_0 s^n + a_1 s^{n-1} + \cdots + a_{n-1} s + a_n] Y(s) = [b_0 s^m + b_1 s^{m-1} + \cdots + b_{m-1} s + b_m] U(s) +$$

+

Let’s call those polynomials for $P(s)$ and $Q(s)$, respectively.

+

Then, the transfer function is +$$ +G(s) = \frac{Y(s)}{U(s)} = \frac{Q(s)}{P(s)} +$$

+

$P(s)$ is the characteristic function and $P(s) = 0$ is the characteristic equation.

+

The order of the system is determined by the highest power of $s$ in the characteristic equation.

+

Poles of a transfer function are values of $s$ for which $P(s) = 0$. In other words, they are roots (solutions) of the characteristic equation. There are always $n$ poles.

+

Zeroes of a transfer function are values of $s$ for which $Q(s) = 0$. In other words, they are roots (solutions) of the numerator polynomial. There are always $m$ zeroes.

+

A transfer function is proper if $m \leq n$.

+

Real-world Example

+

Consider a simple mass-spring-damped system.

+

$f(t)$ is the force input. +$q(t)$ is the displacement of the mass (relative to its equilibrium position when f=0).

+

The parameters $m, c, k$ have units of $kg, Ns/m, N/m$, respectively.

+

Firstly, Newton’s second law gives us +$$ +m \frac{d^2 q}{dt^2} + c \frac{dq}{dt} + kq = f(t) +$$

+

Taking the Laplace transform of both sides, we get +$$ +m s^2 Q(s) + c s Q(s) + k Q(s) = F(s) +$$

+

Then, the transfer function is +$$ +G(s) = \frac{Q(s)}{F(s)} = \frac{1}{m s^2 + c s + k} +$$

+

Real-world Example 2

+

Consider a simple electrical circuit, with a voltage source, an inductor $L$, a resistor $R$ and a capactior $C$ in series, in a closed loop.

+

$v(t)$ is the voltage input. +$q(t)$ is the charge discplacement (the rate of change of q(t) is the instantaneous current, i(t)).

+

The parameters $L, R, C$ have units of $H, \Omega, F$, respectively.

+

Firstly, Kirchhoff’s voltage law gives us +$$ +L \frac{d^2 q}{dt^2} + R \frac{dq}{dt} + \frac{1}{C} q = v(t) +$$

+

Taking the Laplace transform of both sides, we get +$$ +L s^2 Q(s) + R s Q(s) + \frac{1}{C} Q(s) = V(s) +$$

+

Then, the transfer function is +$$ +G(s) = \frac{Q(s)}{V(s)} = \frac{1}{L s^2 + R s + \frac{1}{C}} +$$

+

Combining Transfer Functions

+

Suppose you have on system which takes in input $u_1(t)$ and produces output $y_1(t)$.

+

Suppose also that some other system takes in input $u_2(t)$ and produces output $y_2(t)$.

+

The transfer function for the two systems are, +$$ +G_1(s) = \frac{Y_1(s)}{U_1(s)} \newline +G_2(s) = \frac{Y_2(s)}{U_2(s)} +$$

+

These two systems might be joined by connecting the output of the first into the input of the second so that, +$$ +u_2(t) = y_1(t) +$$

+

Then, the combined system has transfer function +$$ +G(s) = G_1(s) G_2(s) +$$

+

Proof: +$$ +Y_1(s) = G_1(s) U_1(s) \newline +U_2(s) = Y_1(s) \newline +Y_2(s) = G_2(s) U_2(s) = G_2(s) Y_1(s) = G_1(s) G_2(s) U_1(s) +$$

+

If, instead of being connected in series, the two systems are connected in parallel so that they sahare the same input signal, but their outputs add, then, +$$ +u_1(t) = u_2(t) = u(t) \newline +y(t) = y_1(t) + y_2(t) +$$

+

Then, the combined system has transfer function +$$ +G(s) = G_1(s) + G_2(s) +$$

+

Proof: +$$ +Y_1(s) = G_1(s) U(s) \newline +Y_2(s) = G_2(s) U(s) \newline +Y(s) = Y_1(s) + Y_2(s) = G_1(s) U(s) + G_2(s) U(s) = (G_1(s) + G_2(s)) U(s) +$$

+

Summary

+
    +
  • Laplace transform is a powerful tool to convert differential equations into algebraic equations.
    • +
  • Transfer functions are the relationship between the Laplace transform of the input and output signals of a system.
    • +
  • Transfer functions can be combined in series or parallel to form more complex systems.
    • +
Part 2 - System Modelling
\ No newline at end of file diff --git a/cityu/bme3105/index.html b/cityu/bme3105/index.html index 4e154446..b84a8afc 100644 --- a/cityu/bme3105/index.html +++ b/cityu/bme3105/index.html @@ -214,10 +214,10 @@ document.addEventListener("DOMContentLoaded", () => init()); document.addEventListener("astro:after-swap", () => init()); preloadTheme(); -
rezvan.xyz

Biomedical Systems And Control (BME3105) -