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Merged
merged 11 commits into from
May 9, 2024
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Translate library/math.po rst: 102-222 #872

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rst: 102-222
Carisa-Li Apr 22, 2024
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50 changes: 43 additions & 7 deletions library/math.po
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Original file line number Diff line number Diff line change
Expand Up @@ -8,7 +8,7 @@ msgstr ""
"Project-Id-Version: Python 3.12\n"
"Report-Msgid-Bugs-To: \n"
"POT-Creation-Date: 2024-03-14 00:03+0000\n"
"PO-Revision-Date: 2024-02-05 16:30+0800\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"
Expand Down Expand Up @@ -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 ""
Expand All @@ -173,13 +178,18 @@ 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"
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arithmetic 是不是沒翻到啊

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此部分因IEEE-754標準即是用來規範浮點數的運算，所以我認為不用特意在寫出運算。

"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。"
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這邊是 intermediate sum 沒有 partial 吧？

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因為前面intermediate partial sums譯為過程中的部分和，為了前後一致所以此處亦譯為部分和。

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我看了一下原文我沒辦法完全確定兩個是指同一個東西的說...
第一句的 Avoids loss of precision by tracking multiple intermediate partial sums 像是在指 藉由追蹤部分的中間和來避免xxxx
這一句的好像就沒有部分的意思在裡面

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我明白你的意思了。
我的斷句是將partial sum視為一個整體，並於剛剛確認fsum實作後判斷此處的partial sum應為專有名詞。
至於後者的intermediate sum，根據註解說明，延伸精度加法運算僅為資料型別的問題，不影響演算法，所以我認為此處的sum雖然沒有明說，但應仍指partial sum。


#: ../../library/math.rst:119
msgid ""
"For further discussion and two alternative approaches, see the `ASPN "
"cookbook recipes for accurate floating point summation <https://code."
"activestate.com/recipes/393090/>`_\\."
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 ""
Expand All @@ -189,24 +199,27 @@ 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 ""
Expand All @@ -216,18 +229,26 @@ 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 ""
Expand All @@ -236,34 +257,43 @@ 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 ""
Expand All @@ -272,6 +302,9 @@ 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 ""
Expand All @@ -281,12 +314,15 @@ 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 ""
Expand Down
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