Translate library/math.po rst: 102-222 (#872)

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 <adrianliaw2000@gmail.com>\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 "
+"<https://code.activestate.com/recipes/393090/>`_。"
 
 #: ../../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 ""
@@ -237,34 +258,43 @@ 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 ""
 "Return the integer square root of the nonnegative integer *n*. This is the "
 "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 ""