diff --git a/library/math.po b/library/math.po index b691fbe5dc..edc2e25779 100644 --- a/library/math.po +++ b/library/math.po @@ -7,8 +7,8 @@ msgid "" msgstr "" "Project-Id-Version: Python 3.13\n" "Report-Msgid-Bugs-To: \n" -"POT-Creation-Date: 2024-09-23 07:52+0800\n" -"PO-Revision-Date: 2024-04-26 15:15+0800\n" +"POT-Creation-Date: 2024-03-14 00:03+0000\n" +"PO-Revision-Date: 2024-11-09 22:54+0800\n" "Last-Translator: Adrian Liaw \n" "Language-Team: Chinese - TAIWAN (https://github.com/python/python-docs-zh-" "tw)\n" @@ -17,7 +17,7 @@ msgstr "" "Content-Type: text/plain; charset=UTF-8\n" "Content-Transfer-Encoding: 8bit\n" "Plural-Forms: nplurals=1; plural=0;\n" -"X-Generator: Poedit 3.4.2\n" +"X-Generator: Poedit 3.5\n" #: ../../library/math.rst:2 msgid ":mod:`!math` --- Mathematical functions" @@ -114,9 +114,8 @@ msgstr "" "以整數回傳 *n* 的階乘。若 *n* 非整數型別或其值為負會引發 :exc:`ValueError`。" #: ../../library/math.rst:74 -#, fuzzy msgid "Floats with integral values (like ``5.0``) are no longer accepted." -msgstr "允許傳入其值為整數的浮點數（如：``5.0``）已被棄用。" +msgstr "現在已經不允許傳入其值為整數的浮點數（如：``5.0``）。" #: ../../library/math.rst:80 msgid "" @@ -135,6 +134,8 @@ msgid "" "``float`` format. This operation often provides better accuracy than the " "direct expression ``(x * y) + z``." msgstr "" +"融合乘加運算。回傳 ``(x * y) + z``，用近似於無限精度及範圍的方式計算，而後一" +"次轉換為浮點數格式。此操作通常能提供比運算式 ``(x * y) + z`` 更高的準確度。" #: ../../library/math.rst:92 msgid "" @@ -144,6 +145,9 @@ msgid "" "``fma(inf, 0, nan)``. In these cases, ``math.fma`` returns a NaN, and does " "not raise any exception." msgstr "" +"此函式遵循 IEEE-754 標準中規範的融合乘加（fusedMultiplyAdd）運算。該標準保留" +"一種由實作決定的案例，即 ``fma(0, inf, nan)`` 和 ``fma(inf, 0, nan)`` 的結" +"果；在此案例中，``math.fma`` 回傳 ``NaN`` 且不會引發例外。" #: ../../library/math.rst:103 msgid "" @@ -347,15 +351,15 @@ msgstr "回傳 ``x * (2**i)``。此函式本質上為 :func:`frexp` 的反函式 msgid "" "Return the fractional and integer parts of *x*. Both results carry the sign " "of *x* and are floats." -msgstr "" +msgstr "回傳 *x* 的小數及整數部分，兩者皆為與 *x* 同號的浮點數。" #: ../../library/math.rst:245 msgid "Return the floating-point value *steps* steps after *x* towards *y*." -msgstr "" +msgstr "回傳 *x* 向 *y* *steps* 步的浮點數值。" #: ../../library/math.rst:247 msgid "If *x* is equal to *y*, return *y*, unless *steps* is zero." -msgstr "" +msgstr "除非 *steps* 為零，否則當 *x* 與 *y* 相等時回傳 *y*。" #: ../../library/math.rst:249 msgid "Examples:" @@ -363,19 +367,19 @@ msgstr "範例：" #: ../../library/math.rst:251 msgid "``math.nextafter(x, math.inf)`` goes up: towards positive infinity." -msgstr "" +msgstr "``math.nextafter(x, math.inf)`` 增加：往正無限。" #: ../../library/math.rst:252 msgid "``math.nextafter(x, -math.inf)`` goes down: towards minus infinity." -msgstr "" +msgstr "``math.nextafter(x, -math.inf)`` 減少：往負無限。" #: ../../library/math.rst:253 msgid "``math.nextafter(x, 0.0)`` goes towards zero." -msgstr "" +msgstr "``math.nextafter(x, 0.0)`` 靠近零。" #: ../../library/math.rst:254 msgid "``math.nextafter(x, math.copysign(math.inf, x))`` goes away from zero." -msgstr "" +msgstr "``math.nextafter(x, math.copysign(math.inf, x))`` 遠離零。" #: ../../library/math.rst:256 msgid "See also :func:`math.ulp`." @@ -389,25 +393,27 @@ msgstr "新增 *steps* 引數。" msgid "" "Return the number of ways to choose *k* items from *n* items without " "repetition and with order." -msgstr "" +msgstr "回傳從 *n* 個物品中不重複且考慮排序地取出 *k* 個物品的方法數。" #: ../../library/math.rst:268 msgid "" "Evaluates to ``n! / (n - k)!`` when ``k <= n`` and evaluates to zero when " "``k > n``." -msgstr "" +msgstr "當 ``k <= n`` 時其值為 ``n! / (n - k)!``，否則其值為 ``0``。" #: ../../library/math.rst:271 msgid "" "If *k* is not specified or is ``None``, then *k* defaults to *n* and the " "function returns ``n!``." msgstr "" +"若未給定 *k* 或其值為 ``None``，則 *k* 值預設為 *n*，且函式回傳 ``n!``。" #: ../../library/math.rst:282 msgid "" "Calculate the product of all the elements in the input *iterable*. The " "default *start* value for the product is ``1``." msgstr "" +"計算傳入的 *iterable* 中所有元素的乘積。預設的乘積起始值 *start* 為 ``1``。" #: ../../library/math.rst:285 msgid "" @@ -415,6 +421,8 @@ msgid "" "intended specifically for use with numeric values and may reject non-numeric " "types." msgstr "" +"當 *iterable* 為空時，回傳 *start* 值。此函式特別用於計算數值，並可能拒絕處理" +"非數字類型。" #: ../../library/math.rst:294 msgid "" @@ -425,6 +433,10 @@ msgid "" "*even* integer is used for ``n``. The remainder ``r = remainder(x, y)`` " "thus always satisfies ``abs(r) <= 0.5 * abs(y)``." msgstr "" +"回傳 *x* 對 *y* 根據 IEEE 754 定義的餘數。對有限數 *x* 及有限非零數 *y*，該餘" +"數值為 ``x - n*y``，``n`` 是最接近 ``x / y`` 精確值的整數。若 ``x / y`` 剛好" +"位於兩個連續整數的正中間，``n`` 為最接近的 *偶* 數。因此該餘數 ``r = " +"remainder(x, y)`` 總是滿足 ``abs(r) <= 0.5 * abs(y)``。" #: ../../library/math.rst:301 msgid "" @@ -433,34 +445,38 @@ msgid "" "x)`` raise :exc:`ValueError` for any non-NaN *x*. If the result of the " "remainder operation is zero, that zero will have the same sign as *x*." msgstr "" +"特殊情況遵循 IEEE 754：特別是，對任何有限數 *x*，``remainder(x, math.inf)`` " +"的值為 *x*；對任何非 ``NaN`` 值的 *x*，``remainder(x, 0)`` 及 " +"``remainder(math.inf, x)`` 會引發 :exc:`ValueError`。若取餘數操作的結果為零，" +"則該零值會與 *x* 同號。" #: ../../library/math.rst:307 msgid "" "On platforms using IEEE 754 binary floating point, the result of this " "operation is always exactly representable: no rounding error is introduced." msgstr "" +"在使用 IEEE 754 浮點標準中二進制浮點數的平台上，此操作的結果必能精準表示，不" +"會出現捨入誤差。" #: ../../library/math.rst:315 msgid "Return the sum of products of values from two iterables *p* and *q*." -msgstr "" +msgstr "回傳兩個可疊代物件 *p* 及 *q* 各值乘積的總和。" #: ../../library/math.rst:317 msgid "Raises :exc:`ValueError` if the inputs do not have the same length." -msgstr "" +msgstr "若兩個傳入物件長度不同會引發 :exc:`ValueError`。" #: ../../library/math.rst:319 ../../library/math.rst:514 msgid "Roughly equivalent to::" -msgstr "" - -#: ../../library/math.rst:321 -msgid "sum(itertools.starmap(operator.mul, zip(p, q, strict=True)))" -msgstr "sum(itertools.starmap(operator.mul, zip(p, q, strict=True)))" +msgstr "約等價於：::" -#: ../../library/math.rst:323 +#: ../../library/math.rst:307 msgid "" "For float and mixed int/float inputs, the intermediate products and sums are " "computed with extended precision." msgstr "" +"對浮點數或混合整數及浮點數的傳入物件，其過程中的乘積及總和皆使用延伸精度計" +"算。" #: ../../library/math.rst:331 msgid "" @@ -470,22 +486,26 @@ msgid "" "delegates to :meth:`x.__trunc__ `, which should return an :" "class:`~numbers.Integral` value." msgstr "" +"回傳去除小數部分而僅餘整數部分的 *x*。此函式會向零捨入：若 *x* 為正值，" +"``trunc()`` 等價於 :func:`floor`；若 *x* 為負值，``trunc()`` 等價於 :func:" +"`ceil`。若 *x* 非浮點數，此函式將委派給 :meth:`x.__trunc__ `，而後回傳一 :class:`~numbers.Integral` 值。" #: ../../library/math.rst:339 msgid "Return the value of the least significant bit of the float *x*:" -msgstr "" +msgstr "回傳浮點數 *x* 的最低有效位元：" #: ../../library/math.rst:341 msgid "If *x* is a NaN (not a number), return *x*." -msgstr "" +msgstr "若 *x* 為 ``NaN``，回傳 *x*。" #: ../../library/math.rst:342 msgid "If *x* is negative, return ``ulp(-x)``." -msgstr "" +msgstr "若 *x* 為負值，回傳 ``ulp(-x)``。" #: ../../library/math.rst:343 msgid "If *x* is a positive infinity, return *x*." -msgstr "" +msgstr "若 *x* 為正無限值，回傳 *x*。" #: ../../library/math.rst:344 msgid "" @@ -493,6 +513,8 @@ msgid "" "representable float (smaller than the minimum positive *normalized* float, :" "data:`sys.float_info.min `)." msgstr "" +"若 *x* 等於零，回傳 *反正規化* 可表示的最小正浮點數（此值小於 *正規化* 可表示" +"的最小正浮點數 :data:`sys.float_info.min `）。" #: ../../library/math.rst:347 msgid "" @@ -500,6 +522,8 @@ msgid "" "value of the least significant bit of *x*, such that the first float smaller " "than *x* is ``x - ulp(x)``." msgstr "" +"若 *x* 等於可表示的最大正浮點數，回傳 *x* 的最低有效位元值，使 ``x-ulp(x)`` " +"為第一個小於 *x* 的浮點數。" #: ../../library/math.rst:350 msgid "" @@ -507,16 +531,20 @@ msgid "" "significant bit of *x*, such that the first float bigger than *x* is ``x + " "ulp(x)``." msgstr "" +"否則（當 *x* 為正有限數），回傳 *x* 的最低有效位元值，使 ``x+ulp(x)`` 為第一" +"個大於 *x* 的浮點數。" #: ../../library/math.rst:354 msgid "ULP stands for \"Unit in the Last Place\"." -msgstr "" +msgstr "ULP 即最後一位上的單位值（Unit in the Last Place）。" #: ../../library/math.rst:356 msgid "" "See also :func:`math.nextafter` and :data:`sys.float_info.epsilon `." msgstr "" +"另請參閱 :func:`math.nextafter` 及 :data:`sys.float_info.epsilon `。" #: ../../library/math.rst:362 msgid "" @@ -525,6 +553,9 @@ msgid "" "pair of values, rather than returning their second return value through an " "'output parameter' (there is no such thing in Python)." msgstr "" +"請注意 :func:`frexp` 及 :func:`modf` 的呼叫/回傳模式與 C 語言中相應的函式不" +"同：它們接受一個引數並回傳一對值，而非透過一個「輸出參數（output " +"parameter）」傳遞第二個回傳值（Python 沒有那種東西）。" #: ../../library/math.rst:367 msgid "" @@ -534,6 +565,10 @@ msgid "" "(the same as the platform C double type), in which case any float *x* with " "``abs(x) >= 2**52`` necessarily has no fractional bits." msgstr "" +"使用 :func:`ceil`、:func:`floor` 及 :func:`modf` 三個函式時，請注意 *所有* 足" +"夠大的浮點數都是精確的整數。Python 的浮點數型別的精確度通常不會超過 53 位元" +"（與 C 語言 double 型別相同），因此當浮點數 *x* 滿足 ``abs(x) >= 2**52`` 時，" +"它必然沒有小數部分。" #: ../../library/math.rst:375 msgid "Power and logarithmic functions" pFad - Phonifier reborn

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