From 2501ea7d9fdfdee73141f8646e0de242cdb87ed9 Mon Sep 17 00:00:00 2001 From: Carisa-Li Date: Thu, 9 May 2024 16:36:23 +0800 Subject: [PATCH] Translate library/math.po rst: 102-222 (#872) --- library/math.po | 52 +++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 44 insertions(+), 8 deletions(-) diff --git a/library/math.po b/library/math.po index b29c1ac8d1..d6dfe0e852 100644 --- a/library/math.po +++ b/library/math.po @@ -7,8 +7,8 @@ msgid "" msgstr "" "Project-Id-Version: Python 3.12\n" "Report-Msgid-Bugs-To: \n" -"POT-Creation-Date: 2024-05-09 00:03+0000\n" -"PO-Revision-Date: 2024-02-05 16:30+0800\n" +"POT-Creation-Date: 2024-03-14 00:03+0000\n" +"PO-Revision-Date: 2024-04-26 15:15+0800\n" "Last-Translator: Adrian Liaw \n" "Language-Team: Chinese - TAIWAN (https://github.com/python/python-docs-zh-" "tw)\n" @@ -158,12 +158,17 @@ msgid "" "zero, returns ``(0.0, 0)``, otherwise ``0.5 <= abs(m) < 1``. This is used " "to \"pick apart\" the internal representation of a float in a portable way." msgstr "" +"以 ``(m, e)`` 對的格式回傳 *x* 的尾數 *m* 及指數 *e*。*m* 是浮點數而 *e* 是整" +"數，且兩者精確地使 ``x == m * 2**e``。若 *x* 為零，回傳 ``(0.0, 0)``，否則令 " +"``0.5 <= abs(m) < 1``。此函式用於以可攜的方式「分割」浮點數內部表示法。" #: ../../library/math.rst:110 msgid "" "Return an accurate floating point sum of values in the iterable. Avoids " "loss of precision by tracking multiple intermediate partial sums." msgstr "" +"回傳可疊代物件（iterable）中所有值的精確浮點數和。透過追蹤過程中多個部分和" +"（partial sum）以避免精確度損失。" #: ../../library/math.rst:113 msgid "" @@ -173,6 +178,9 @@ msgid "" "occasionally double-round an intermediate sum causing it to be off in its " "least significant bit." msgstr "" +"此演算法準確性奠基於保證 IEEE-754 浮點標準及典型奇進偶捨（half-even）模式。於" +"有些非 Windows 平台建置時，底層 C 函式庫使用延伸精度加法運算，而可能導致對過" +"程中同一部分和重複捨入，並使其最低有效位不如預期。" #: ../../library/math.rst:119 msgid "" @@ -181,6 +189,8 @@ msgid "" "activestate.com/recipes/393090-binary-floating-point-summation-accurate-to-" "full-p/>`_\\." msgstr "" +"更深入的討論及兩種替代做法請參閱 `ASPN cookbook recipes 精準的浮點數總和 " +"`_。" #: ../../library/math.rst:126 msgid "" @@ -190,24 +200,27 @@ msgid "" "zero, then the returned value is ``0``. ``gcd()`` without arguments returns " "``0``." msgstr "" +"回傳指定整數引數的最大公因數。若存在任一非零引數，回傳值為所有引數共有因數中" +"最大的正整數。若所有引數皆為零，則回傳值為 ``0``。``gcd()`` 若未傳入任何引數" +"也將回傳 ``0``。" #: ../../library/math.rst:134 msgid "" "Added support for an arbitrary number of arguments. Formerly, only two " "arguments were supported." -msgstr "" +msgstr "新增支援任意數量的引數。先前僅支援兩個引數。" #: ../../library/math.rst:141 msgid "" "Return ``True`` if the values *a* and *b* are close to each other and " "``False`` otherwise." -msgstr "" +msgstr "若 *a* 及 *b* 兩值足夠接近便回傳 ``True``，否則回傳 ``False``。" #: ../../library/math.rst:144 msgid "" "Whether or not two values are considered close is determined according to " "given absolute and relative tolerances." -msgstr "" +msgstr "兩數是否足夠接近取決於給定的絕對及相對容許偏差（tolerance）。" #: ../../library/math.rst:147 msgid "" @@ -217,18 +230,26 @@ msgid "" "tolerance is ``1e-09``, which assures that the two values are the same " "within about 9 decimal digits. *rel_tol* must be greater than zero." msgstr "" +"*rel_tol* 為相對容許偏差 ── *a* 與 *b* 兩數差的最大容許值，與 *a* 及 *b* 兩數" +"的絕對值中較大者相關。例如欲設置 5% 的容許偏差，則傳入 ``rel_tol=0.05``。其預" +"設值為 ``1e-09``，該值可確保兩數於大約 9 個十進數位內相同。*rel_tol* 須大於 " +"``0``。" #: ../../library/math.rst:153 msgid "" "*abs_tol* is the minimum absolute tolerance -- useful for comparisons near " "zero. *abs_tol* must be at least zero." msgstr "" +"*abs_tol* 為最小絕對容許偏差 ── 於接近零的比較時很有用。*abs_tol* 須大於等於 " +"``0``。" #: ../../library/math.rst:156 msgid "" "If no errors occur, the result will be: ``abs(a-b) <= max(rel_tol * " "max(abs(a), abs(b)), abs_tol)``." msgstr "" +"若未發生任何錯誤，函式結果為 ``abs(a-b) <= max(rel_tol * max(abs(a), " +"abs(b)), abs_tol)``。" #: ../../library/math.rst:159 msgid "" @@ -237,27 +258,34 @@ msgid "" "close to any other value, including ``NaN``. ``inf`` and ``-inf`` are only " "considered close to themselves." msgstr "" +"定義於 IEEE 754 浮點標準中的特殊值 ``NaN``、``inf`` 和 ``-inf`` 會根據該標準" +"處理。更明確地說，``NaN`` 不會與包含自身在內的任何數字足夠接近，而 ``inf`` " +"及 ``-inf`` 皆只與自身接近。" #: ../../library/math.rst:168 msgid ":pep:`485` -- A function for testing approximate equality" -msgstr "" +msgstr ":pep:`485` ── 用於測試近似相等的函式" #: ../../library/math.rst:173 msgid "" "Return ``True`` if *x* is neither an infinity nor a NaN, and ``False`` " "otherwise. (Note that ``0.0`` *is* considered finite.)" msgstr "" +"若 *x* 不是無限值或 ``NaN`` 便回傳 ``True``，否則回傳 ``False``。（注意 " +"``0.0`` 被視為有限數。）" #: ../../library/math.rst:181 msgid "" "Return ``True`` if *x* is a positive or negative infinity, and ``False`` " "otherwise." -msgstr "" +msgstr "若 *x* 是正無限值或負無限值便回傳 ``True``，否則回傳 ``False``。" #: ../../library/math.rst:187 msgid "" "Return ``True`` if *x* is a NaN (not a number), and ``False`` otherwise." msgstr "" +"若 *x* 是 ``NaN`` ── 即非數字（NaN, not a number）── 便回傳 ``True``，否則回" +"傳 ``False``。" #: ../../library/math.rst:192 msgid "" @@ -265,6 +293,8 @@ msgid "" "floor of the exact square root of *n*, or equivalently the greatest integer " "*a* such that *a*\\ ² |nbsp| ≤ |nbsp| *n*." msgstr "" +"回傳非負整數 *n* 的整數平方根。此值為 *n* 精確平方根經下取整的值，亦等同於滿" +"足 *a*\\ ² |nbsp| ≤ |nbsp| *n* 的最大整數值 *a*。" #: ../../library/math.rst:196 msgid "" @@ -273,6 +303,9 @@ msgid "" "the exact square root of *n*. For positive *n*, this can be computed using " "``a = 1 + isqrt(n - 1)``." msgstr "" +"於有些應用程式中，取得滿足 *n* |nbsp| ≤ |nbsp| *a*\\ ² 的最小整數值 *a* ── 或" +"者說 *n* 精確平方根經上取整的值 ── 會更加方便。對正數 *n*，此值可使用 ``a = " +"1 + isqrt(n - 1)`` 計算。" #: ../../library/math.rst:206 msgid "" @@ -282,12 +315,15 @@ msgid "" "zero, then the returned value is ``0``. ``lcm()`` without arguments returns " "``1``." msgstr "" +"回傳指定整數引數的最小公倍數。若所有引數值皆非零，回傳值為所有引數共有倍數中" +"最小的正整數。若存在任一引數值為零，則回傳值為 ``0``。``lcm()`` 若未傳入任何" +"引數將回傳 ``1``。" #: ../../library/math.rst:217 msgid "" "Return ``x * (2**i)``. This is essentially the inverse of function :func:" "`frexp`." -msgstr "" +msgstr "回傳 ``x * (2**i)``。此函式本質上為 :func:`frexp` 的反函式。" #: ../../library/math.rst:223 msgid ""