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Commitd423925

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Carisa-Liken71301mattwang44
authored
Translate library/math.po rst: 87-102, 239-374 (#992)
Co-authored-by: Payon <ken71301@hotmail.com>Co-authored-by: Matt.Wang <mattwang44@gmail.com>
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‎library/math.po‎

Lines changed: 61 additions & 20 deletions
Original file line numberDiff line numberDiff line change
@@ -7,7 +7,7 @@ msgstr ""
77
"Project-Id-Version:Python 3.14\n"
88
"Report-Msgid-Bugs-To:\n"
99
"POT-Creation-Date:2025-09-08 15:25+0800\n"
10-
"PO-Revision-Date:2024-04-26 15:15+0800\n"
10+
"PO-Revision-Date:2024-10-06 23:31+0800\n"
1111
"Last-Translator:Adrian Liaw <adrianliaw2000@gmail.com>\n"
1212
"Language-Team:Chinese - TAIWAN (https://github.com/python/python-docs-zh-"
1313
"tw)\n"
@@ -16,7 +16,7 @@ msgstr ""
1616
"Content-Type:text/plain; charset=UTF-8\n"
1717
"Content-Transfer-Encoding:8bit\n"
1818
"Plural-Forms:nplurals=1; plural=0;\n"
19-
"X-Generator:Poedit 3.4.2\n"
19+
"X-Generator:Poedit 3.5\n"
2020

2121
#:../../library/math.rst:2
2222
msgid":mod:`!math` --- Mathematical functions"
@@ -634,7 +634,7 @@ msgstr ""
634634

635635
#:../../library/math.rst:149
636636
msgid"Floats with integral values (like ``5.0``) are no longer accepted."
637-
msgstr"其值為整數的浮點數（如：``5.0``）已不再被接受。"
637+
msgstr"現在已經不允許傳入其值為整數的浮點數（如：``5.0``）。"
638638

639639
#:../../library/math.rst:155
640640
msgid""
@@ -690,23 +690,25 @@ msgstr ""
690690
msgid""
691691
"Return the number of ways to choose *k* items from *n* items without "
692692
"repetition and with order."
693-
msgstr""
693+
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。"
694694

695695
#:../../library/math.rst:198
696696
msgid""
697697
"Evaluates to ``n! / (n - k)!`` when ``k <= n`` and evaluates to zero when "
698698
"``k > n``."
699-
msgstr""
699+
msgstr"當 ``k <= n`` 時其值為 ``n! / (n - k)!``，否則其值為 ``0``。"
700700

701701
#:../../library/math.rst:201
702702
msgid""
703703
"If *k* is not specified or is ``None``, then *k* defaults to *n* and the "
704704
"function returns ``n!``."
705705
msgstr""
706+
"若未給定 *k* 或其值為 ``None``，則 *k* 值預設為 *n*，且函式回傳 ``n!``。"
706707

707708
#:../../library/math.rst:211
708709
msgid"Floating point arithmetic"
709710
msgstr""
711+
"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``。"
710712

711713
#:../../library/math.rst:215
712714
msgid""
@@ -739,6 +741,8 @@ msgid ""
739741
"``float`` format. This operation often provides better accuracy than the "
740742
"direct expression ``(x * y) + z``."
741743
msgstr""
744+
"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"
745+
"次轉換為 ``float`` 格式。此操作通常能提供比運算式 ``(x * y) + z`` 更高的準確度。"
742746

743747
#:../../library/math.rst:239
744748
msgid""
@@ -748,6 +752,9 @@ msgid ""
748752
"``fma(inf, 0, nan)``. In these cases, ``math.fma`` returns a NaN, and does "
749753
"not raise any exception."
750754
msgstr""
755+
"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"
756+
"一種由實作決定的案例，即 ``fma(0, inf, nan)`` 和 ``fma(inf, 0, nan)`` 的結"
757+
"果；在這些案例中，``math.fma`` 回傳 NaN 且不會引發例外。"
751758

752759
#:../../library/math.rst:250
753760
msgid""
@@ -778,7 +785,7 @@ msgstr ""
778785
msgid""
779786
"Return the fractional and integer parts of *x*. Both results carry the sign "
780787
"of *x* and are floats."
781-
msgstr""
788+
msgstr"回傳 *x* 的小數及整數部分，兩者皆為與 *x* 同號的浮點數。"
782789

783790
#:../../library/math.rst:269
784791
msgid""
@@ -787,6 +794,9 @@ msgid ""
787794
"than returning its second return value through an 'output parameter' (there "
788795
"is no such thing in Python)."
789796
msgstr""
797+
"請注意 :func:`modf` 的呼叫/回傳模式與 C 語言中相應的函式不同："
798+
"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"
799+
"遞第二個回傳值（Python 沒有那種東西）。"
790800

791801
#:../../library/math.rst:277
792802
msgid""
@@ -797,6 +807,10 @@ msgid ""
797807
"*even* integer is used for ``n``. The remainder ``r = remainder(x, y)`` "
798808
"thus always satisfies ``abs(r) <= 0.5 * abs(y)``."
799809
msgstr""
810+
"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"
811+
"值為 ``x - n*y`` 差值，``n`` 是最接近商數 ``x / y`` 的整數。若 ``x / y`` 剛好"
812+
"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 = "
813+
"remainder(x, y)`` 總是滿足 ``abs(r) <= 0.5 * abs(y)``。"
800814

801815
#:../../library/math.rst:284
802816
msgid""
@@ -805,12 +819,18 @@ msgid ""
805819
"x)`` raise :exc:`ValueError` for any non-NaN *x*. If the result of the "
806820
"remainder operation is zero, that zero will have the same sign as *x*."
807821
msgstr""
822+
"特殊情況遵循 IEEE 754：特別是，對任何有限數 *x*，``remainder(x, math.inf)`` "
823+
"的值為 *x*；對任何非 NaN 值的 *x*，``remainder(x, 0)`` 及 "
824+
"``remainder(math.inf, x)`` 會引發 :exc:`ValueError`。若取餘數操作的結果為零，"
825+
"則該零值會與 *x* 同號。"
808826

809827
#:../../library/math.rst:290
810828
msgid""
811829
"On platforms using IEEE 754 binary floating point, the result of this "
812830
"operation is always exactly representable: no rounding error is introduced."
813831
msgstr""
832+
"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"
833+
"會出現捨入誤差。"
814834

815835
#:../../library/math.rst:298
816836
msgid""
@@ -820,6 +840,10 @@ msgid ""
820840
"delegates to :meth:`x.__trunc__ <object.__trunc__>`, which should return "
821841
"an :class:`~numbers.Integral` value."
822842
msgstr""
843+
"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，"
844+
"``trunc()`` 等價於 :func:`floor`；若 *x* 為負值，``trunc()`` 等價"
845+
"於 :func:`ceil`。若 *x* 非浮點數，此函式將委派給 :meth:`x.__trunc__ "
846+
"<object.__trunc__>`，而後回傳一 :class:`~numbers.Integral` 值。"
823847

824848
#:../../library/math.rst:305
825849
msgid""
@@ -829,6 +853,10 @@ msgid ""
829853
"(the same as the platform C double type), in which case any float *x* with "
830854
"``abs(x) >= 2**52`` necessarily has no fractional bits."
831855
msgstr""
856+
"使用 :func:`ceil`、:func:`floor` 及 :func:`modf` 三個函式時，請注意 *所有* 足"
857+
"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"
858+
"（與 C 語言 double 型別相同），因此當浮點數 *x* 滿足 ``abs(x) >= 2**52`` 時，"
859+
"它必然沒有小數部分。"
832860

833861
#:../../library/math.rst:313
834862
msgid"Floating point manipulation functions"
@@ -861,6 +889,9 @@ msgid ""
861889
"than returning its second return value through an 'output parameter' (there "
862890
"is no such thing in Python)."
863891
msgstr""
892+
"請注意 :func:`frexp` 的呼叫/回傳模式與 C 語言中相應的函式不同："
893+
"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"
894+
"遞第二個回傳值（Python 沒有那種東西）。"
864895

865896
#:../../library/math.rst:336
866897
msgid""
@@ -920,7 +951,7 @@ msgid ""
920951
"Return ``True`` if *x* is neither an infinity nor a NaN, and ``False`` "
921952
"otherwise. (Note that ``0.0`` *is* considered finite.)"
922953
msgstr""
923-
"若 *x* 不是無限值或``NaN`` 便回傳 ``True``，否則回傳 ``False``。（注意 "
954+
"若 *x* 不是無限值或 NaN 便回傳 ``True``，否則回傳 ``False``。（注意 "
924955
"``0.0`` 被視為有限數。）"
925956

926957
#:../../library/math.rst:378
@@ -933,7 +964,7 @@ msgstr "若 *x* 是正無限值或負無限值便回傳 ``True``，否則回傳
933964
msgid""
934965
"Return ``True`` if *x* is a NaN (not a number), and ``False`` otherwise."
935966
msgstr""
936-
"若 *x* 是``NaN`` ──即非數字（NaN, not a number）── 便回傳 ``True``，否則回"
967+
"若 *x* 是 NaN ──即非數值（NaN, not a number）── 便回傳 ``True``，否則回"
937968
"傳 ``False``。"
938969

939970
#:../../library/math.rst:389
@@ -944,31 +975,31 @@ msgstr "回傳 ``x * (2**i)``。此函式本質上為 :func:`frexp` 的反函式
944975

945976
#:../../library/math.rst:395
946977
msgid"Return the floating-point value *steps* steps after *x* towards *y*."
947-
msgstr""
978+
msgstr"回傳 *x* 向 *y* *steps* 步的浮點數值。"
948979

949980
#:../../library/math.rst:397
950981
msgid"If *x* is equal to *y*, return *y*, unless *steps* is zero."
951-
msgstr""
982+
msgstr"除非 *steps* 為零，否則當 *x* 與 *y* 相等時回傳 *y*。"
952983

953984
#:../../library/math.rst:399
954985
msgid"Examples:"
955986
msgstr"範例："
956987

957988
#:../../library/math.rst:401
958989
msgid"``math.nextafter(x, math.inf)`` goes up: towards positive infinity."
959-
msgstr""
990+
msgstr"``math.nextafter(x, math.inf)`` 增加：往正無限。"
960991

961992
#:../../library/math.rst:402
962993
msgid"``math.nextafter(x, -math.inf)`` goes down: towards minus infinity."
963-
msgstr""
994+
msgstr"``math.nextafter(x, -math.inf)`` 減少：往負無限。"
964995

965996
#:../../library/math.rst:403
966997
msgid"``math.nextafter(x, 0.0)`` goes towards zero."
967-
msgstr""
998+
msgstr"``math.nextafter(x, 0.0)`` 靠近零。"
968999

9691000
#:../../library/math.rst:404
9701001
msgid"``math.nextafter(x, math.copysign(math.inf, x))`` goes away from zero."
971-
msgstr""
1002+
msgstr"``math.nextafter(x, math.copysign(math.inf, x))`` 遠離零。"
9721003

9731004
#:../../library/math.rst:406
9741005
msgid"See also :func:`math.ulp`."
@@ -980,11 +1011,11 @@ msgstr "新增 *steps* 引數。"
9801011

9811012
#:../../library/math.rst:416
9821013
msgid"Return the value of the least significant bit of the float *x*:"
983-
msgstr""
1014+
msgstr"回傳浮點數 *x* 的最低有效位元："
9841015

9851016
#:../../library/math.rst:418
9861017
msgid"If *x* is a NaN (not a number), return *x*."
987-
msgstr""
1018+
msgstr"若 *x* 為 NaN（非數值），回傳 *x*。"
9881019

9891020
#:../../library/math.rst:419
9901021
msgid"If *x* is negative, return ``ulp(-x)``."
@@ -1000,30 +1031,38 @@ msgid ""
10001031
"representable float (smaller than the minimum positive *normalized* "
10011032
"float, :data:`sys.float_info.min <sys.float_info>`)."
10021033
msgstr""
1034+
"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"
1035+
"的最小正浮點數 :data:`sys.float_info.min <sys.float_info>`）。"
10031036

10041037
#:../../library/math.rst:424
10051038
msgid""
10061039
"If *x* is equal to the largest positive representable float, return the "
10071040
"value of the least significant bit of *x*, such that the first float smaller "
10081041
"than *x* is ``x - ulp(x)``."
10091042
msgstr""
1043+
"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)`` "
1044+
"為第一個小於 *x* 的浮點數。"
10101045

10111046
#:../../library/math.rst:427
10121047
msgid""
10131048
"Otherwise (*x* is a positive finite number), return the value of the least "
10141049
"significant bit of *x*, such that the first float bigger than *x* is ``x + "
10151050
"ulp(x)``."
10161051
msgstr""
1052+
"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"
1053+
"個大於 *x* 的浮點數。"
10171054

10181055
#:../../library/math.rst:431
10191056
msgid"ULP stands for\"Unit in the Last Place\"."
1020-
msgstr""
1057+
msgstr"ULP 即最後一位上的單位值（Unit in the Last Place）。"
10211058

10221059
#:../../library/math.rst:433
10231060
msgid""
10241061
"See also :func:`math.nextafter` and :data:`sys.float_info.epsilon "
10251062
"<sys.float_info>`."
10261063
msgstr""
1064+
"另請參閱 :func:`math.nextafter` 及 :data:`sys.float_info.epsilon "
1065+
"<sys.float_info>`。"
10271066

10281067
#:../../library/math.rst:440
10291068
msgid"Power, exponential and logarithmic functions"
@@ -1127,7 +1166,7 @@ msgstr ""
11271166

11281167
#:../../library/math.rst:546../../library/math.rst:607
11291168
msgid"Roughly equivalent to::"
1130-
msgstr""
1169+
msgstr"約等價於：::"
11311170

11321171
#:../../library/math.rst:548
11331172
msgid"sqrt(sum((px - qx) ** 2.0 for px, qx in zip(p, q)))"
@@ -1205,11 +1244,11 @@ msgstr ""
12051244

12061245
#:../../library/math.rst:603
12071246
msgid"Return the sum of products of values from two iterables *p* and *q*."
1208-
msgstr""
1247+
msgstr"回傳兩個可疊代物件 *p* 及 *q* 各值乘積的總和。"
12091248

12101249
#:../../library/math.rst:605
12111250
msgid"Raises :exc:`ValueError` if the inputs do not have the same length."
1212-
msgstr""
1251+
msgstr"若兩個傳入物件長度不同會引發 :exc:`ValueError`。"
12131252

12141253
#:../../library/math.rst:609
12151254
msgid"sum(map(operator.mul, p, q, strict=True))"
@@ -1220,6 +1259,8 @@ msgid ""
12201259
"For float and mixed int/float inputs, the intermediate products and sums are "
12211260
"computed with extended precision."
12221261
msgstr""
1262+
"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"
1263+
"算。"
12231264

12241265
#:../../library/math.rst:618
12251266
msgid"Angular conversion"

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