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jkitchin · Jul 10, 2024 · d7e6518 · d7e6518
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diff --git a/blog/basic-python.html b/blog/basic-python.html
@@ -1096,7 +1096,7 @@ <h2>Lambda Lambda Lambda<a class="headerlink" href="#lambda-lambda-lambda" title
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fdad4e06480&gt;
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fbb647f6200&gt;
 4
 </pre></div>
 </div>
@@ -1112,7 +1112,7 @@ <h2>Lambda Lambda Lambda<a class="headerlink" href="#lambda-lambda-lambda" title
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fdad4e06200&gt;
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fbba4019440&gt;
 5
 </pre></div>
 </div>
@@ -1129,7 +1129,7 @@ <h2>Lambda Lambda Lambda<a class="headerlink" href="#lambda-lambda-lambda" title
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fdad4e062a0&gt;
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fbb647f6340&gt;
 5
 5
 </pre></div>
@@ -1150,7 +1150,7 @@ <h2>Lambda Lambda Lambda<a class="headerlink" href="#lambda-lambda-lambda" title
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fdad4e06340&gt;
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;function &lt;lambda&gt; at 0x7fbb647f6020&gt;
 1
 3
 6
@@ -1326,7 +1326,7 @@ <h2>Creating arrays in python<a class="headerlink" href="#creating-arrays-in-pyt
  [4 5 6]]
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1855/3002503601.py:4: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1842/3002503601.py:4: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
   print(np.row_stack([a, b]))
 </pre></div>
 </div>
@@ -1779,7 +1779,7 @@ <h2>Indexing vectors and arrays in Python<a class="headerlink" href="#indexing-v
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>-1.7950016288086892
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1855/518394352.py:3: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1842/518394352.py:3: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
   print(np.trapz( x[x &gt; 2], y[x &gt; 2]))
 </pre></div>
 </div>
@@ -1876,17 +1876,17 @@ <h3>3D arrays<a class="headerlink" href="#id2" title="Link to this heading">#</a
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[[0.5476759  0.3187746  0.88242603]
-  [0.04201148 0.3107921  0.06749891]
-  [0.71861984 0.95930351 0.43440104]]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[[0.20114173 0.78957013 0.90321075]
+  [0.22052675 0.22851006 0.89396718]
+  [0.50508075 0.34204208 0.33682147]]
 
- [[0.1454874  0.60072783 0.45501144]
-  [0.20656186 0.11965505 0.4332491 ]
-  [0.95939429 0.97698476 0.21397559]]
+ [[0.43953453 0.5692659  0.64330352]
+  [0.70936523 0.87371169 0.31148072]
+  [0.39352461 0.61141827 0.4327842 ]]
 
- [[0.42694521 0.84762176 0.75276863]
-  [0.12219024 0.78224364 0.79227382]
-  [0.58754432 0.85776127 0.7448481 ]]]
+ [[0.81473398 0.87740287 0.20524145]
+  [0.88280938 0.83577573 0.83025906]
+  [0.46015632 0.21074422 0.66137439]]]
 </pre></div>
 </div>
 </div>
@@ -1900,11 +1900,11 @@ <h3>3D arrays<a class="headerlink" href="#id2" title="Link to this heading">#</a
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[0.5476759  0.04201148 0.71861984]
- [0.1454874  0.20656186 0.95939429]
- [0.42694521 0.12219024 0.58754432]]
-[0.5476759  0.1454874  0.42694521]
-[0.45501144 0.4332491  0.21397559]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[0.20114173 0.22052675 0.50508075]
+ [0.43953453 0.70936523 0.39352461]
+ [0.81473398 0.88280938 0.46015632]]
+[0.20114173 0.43953453 0.81473398]
+[0.64330352 0.31148072 0.4327842 ]
 </pre></div>
 </div>
 </div>

diff --git a/blog/differential-equations.html b/blog/differential-equations.html
@@ -1618,7 +1618,7 @@ <h3>Linear algebra approaches to solving systems of constant coefficient ODEs<a
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1910/2289625004.py:4: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1896/2289625004.py:4: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
   T = np.row_stack([t, t])
 </pre></div>
 </div>

diff --git a/blog/interpolation.html b/blog/interpolation.html
@@ -916,9 +916,9 @@ <h2>Interpolation with splines<a class="headerlink" href="#interpolation-with-sp
          Function evaluations: 24
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1941/1138919460.py:26: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1925/1138919460.py:26: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   plt.title(&#39;Max point = ({0:1.2f}, {1:1.2f})&#39;.format(float(xmax),
-/tmp/ipykernel_1941/1138919460.py:27: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
+/tmp/ipykernel_1925/1138919460.py:27: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
   float(f(xmax))));
 </pre></div>
 </div>

diff --git a/blog/linear-algebra.html b/blog/linear-algebra.html
@@ -1178,7 +1178,7 @@ <h2>Determining linear independence of a set of vectors<a class="headerlink" hre
 2
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1966/3718588497.py:6: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1951/3718588497.py:6: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
   A = np.row_stack([v1, v2, v3])
 </pre></div>
 </div>
@@ -1231,7 +1231,7 @@ <h3>Another example<a class="headerlink" href="#id2" title="Link to this heading
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[7.57773162 5.99149259]
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1966/73961882.py:7: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1951/73961882.py:7: DeprecationWarning: `row_stack` alias is deprecated. Use `np.vstack` directly.
   A = np.row_stack([v1, v2])
 </pre></div>
 </div>

diff --git a/blog/math.html b/blog/math.html
@@ -673,9 +673,9 @@ <h2>Numeric derivatives by differences<a class="headerlink" href="#numeric-deriv
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span> Forward difference took 0.000216 seconds
- Backward difference took 0.000188 seconds
- Centered difference took 0.000234 seconds
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span> Forward difference took 0.000345 seconds
+ Backward difference took 0.000194 seconds
+ Centered difference took 0.000235 seconds
 </pre></div>
 </div>
 <img alt="../_images/e82a955efa2e01fb55f09524ce9405030516d0ae15614c934dfaf2d14380e228.png" src="../_images/e82a955efa2e01fb55f09524ce9405030516d0ae15614c934dfaf2d14380e228.png" />
@@ -775,7 +775,7 @@ <h2>2-point vs. 4-point numerical derivatives<a class="headerlink" href="#point-
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="../_images/a30bf00a5204e6d17835fb5f5ffc9f9f08bcc055617d0828094286f2b0b68dca.png" src="../_images/a30bf00a5204e6d17835fb5f5ffc9f9f08bcc055617d0828094286f2b0b68dca.png" />
+<img alt="../_images/729dfe3171a20031ea23a8d2a0463e001a80256f6a34a07f5b25cfe0ba7f4c4f.png" src="../_images/729dfe3171a20031ea23a8d2a0463e001a80256f6a34a07f5b25cfe0ba7f4c4f.png" />
 </div>
 </div>
 </section>
@@ -900,7 +900,7 @@ <h2>Derivatives by FFT<a class="headerlink" href="#derivatives-by-fft" title="Li
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="../_images/b294a66f4893e385c8b0825ee55fa107babe8973e425c1a90ed2d04ac92108f4.png" src="../_images/b294a66f4893e385c8b0825ee55fa107babe8973e425c1a90ed2d04ac92108f4.png" />
+<img alt="../_images/63f40c6dd9b56d83ad5c4d954392d42f12507cea8be3773dc57d6715c03dd194.png" src="../_images/63f40c6dd9b56d83ad5c4d954392d42f12507cea8be3773dc57d6715c03dd194.png" />
 </div>
 </div>
 </section>
@@ -1280,7 +1280,7 @@ <h3>Numerical data integration<a class="headerlink" href="#numerical-data-integr
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>4.25 0.0625
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1991/1388173814.py:6: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1976/1388173814.py:6: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
   i2 = np.trapz(y, x)
 </pre></div>
 </div>
@@ -1323,7 +1323,7 @@ <h3>Numerical data integration<a class="headerlink" href="#numerical-data-integr
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>4.000408121620243
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1991/1343167527.py:6: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1976/1343167527.py:6: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
   print(np.trapz(y2, x2))
 </pre></div>
 </div>
@@ -1363,7 +1363,7 @@ <h3>Combining numerical data with quad<a class="headerlink" href="#combining-num
 2.5312499999999987
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1991/1681875887.py:13: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1976/1681875887.py:13: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
   print(np.trapz(yfine, xfine))
 </pre></div>
 </div>
@@ -1774,7 +1774,7 @@ <h2>The trapezoidal method of integration<a class="headerlink" href="#the-trapez
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 0.0007312297821044922 sec
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 0.0010030269622802734 sec
 1.9999983517708524
 </pre></div>
 </div>
@@ -1795,7 +1795,7 @@ <h2>The trapezoidal method of integration<a class="headerlink" href="#the-trapez
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 0.0001850128173828125 sec
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 0.00022840499877929688 sec
 1.9999934070923728
 </pre></div>
 </div>
@@ -1814,7 +1814,7 @@ <h2>The trapezoidal method of integration<a class="headerlink" href="#the-trapez
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 8.893013000488281e-05 sec
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>time elapsed = 7.390975952148438e-05 sec
 1.999993407092373
 </pre></div>
 </div>
@@ -2009,7 +2009,7 @@ <h2>Function integration by the Romberg method<a class="headerlink" href="#funct
 0.2928932188134519
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1991/1760157840.py:9: DeprecationWarning: `scipy.integrate.romberg` is deprecated as of SciPy 1.12.0and will be removed in SciPy 1.15.0. Please use`scipy.integrate.quad` instead.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_1976/1760157840.py:9: DeprecationWarning: `scipy.integrate.romberg` is deprecated as of SciPy 1.12.0and will be removed in SciPy 1.15.0. Please use`scipy.integrate.quad` instead.
   print(romberg(np.sin, a, b))
 </pre></div>
 </div>
@@ -2038,7 +2038,9 @@ <h3>Solve the quadratic equation<a class="headerlink" href="#solve-the-quadratic
 </div>
 <div class="cell_output docutils container">
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[(-b - sqrt(-4*a*c + b**2))/(2*a), (-b + sqrt(-4*a*c + b**2))/(2*a)]
-⎡        _____________          _____________⎤
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>⎡        _____________          _____________⎤
 ⎢       ╱           2          ╱           2 ⎥
 ⎢-b - ╲╱  -4⋅a⋅c + b    -b + ╲╱  -4⋅a⋅c + b  ⎥
 ⎢─────────────────────, ─────────────────────⎥

diff --git a/blog/nonlinear-algebra.html b/blog/nonlinear-algebra.html
@@ -765,10 +765,10 @@ <h2>Method of continuity for nonlinear equation solving<a class="headerlink" hre
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_2021/4022852329.py:19: RuntimeWarning: The iteration is not making good progress, as measured by the 
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_2004/4022852329.py:19: RuntimeWarning: The iteration is not making good progress, as measured by the 
   improvement from the last ten iterations.
   y1, = fsolve(tmp, x0)
-/tmp/ipykernel_2021/4022852329.py:19: RuntimeWarning: The iteration is not making good progress, as measured by the 
+/tmp/ipykernel_2004/4022852329.py:19: RuntimeWarning: The iteration is not making good progress, as measured by the 
   improvement from the last five Jacobian evaluations.
   y1, = fsolve(tmp, x0)
 </pre></div>

diff --git a/blog/plotting.html b/blog/plotting.html
@@ -1173,7 +1173,7 @@ <h2>Peak annotation in matplotlib<a class="headerlink" href="#peak-annotation-in
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_2075/256016704.py:19: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_2059/256016704.py:19: DeprecationWarning: `trapz` is deprecated. Use `trapezoid` instead, or one of the numerical integration functions in `scipy.integrate`.
   area = np.trapz(i[ind], w[ind])
 </pre></div>
 </div>