77msgstr ""
88"Project-Id-Version :Python 3.12\n "
99"Report-Msgid-Bugs-To :\n "
10- "POT-Creation-Date :2024-05-09 00:03+0000\n "
11- "PO-Revision-Date :2024-02-05 16:30 +0800\n "
10+ "POT-Creation-Date :2024-03-14 00:03+0000\n "
11+ "PO-Revision-Date :2024-04-26 15:15 +0800\n "
1212"Last-Translator :Adrian Liaw <adrianliaw2000@gmail.com>\n "
1313"Language-Team :Chinese - TAIWAN (https://github.com/python/python-docs-zh- "
1414"tw)\n "
@@ -158,12 +158,17 @@ msgid ""
158158"zero, returns ``(0.0, 0)``, otherwise ``0.5 <= abs(m) < 1``. This is used "
159159"to\" pick apart\" the internal representation of a float in a portable way."
160160msgstr ""
161+ "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"
162+ "數，且兩者精確地使 ``x == m * 2**e``。若 *x* 為零，回傳 ``(0.0, 0)``，否則令 "
163+ "``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。"
161164
162165#: ../../library/math.rst:110
163166msgid ""
164167"Return an accurate floating point sum of values in the iterable. Avoids "
165168"loss of precision by tracking multiple intermediate partial sums."
166169msgstr ""
170+ "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"
171+ "（partial sum）以避免精確度損失。"
167172
168173#: ../../library/math.rst:113
169174msgid ""
@@ -173,6 +178,9 @@ msgid ""
173178"occasionally double-round an intermediate sum causing it to be off in its "
174179"least significant bit."
175180msgstr ""
181+ "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"
182+ "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"
183+ "程中同一部分和重複捨入，並使其最低有效位不如預期。"
176184
177185#: ../../library/math.rst:119
178186msgid ""
@@ -181,6 +189,8 @@ msgid ""
181189"activestate.com/recipes/393090-binary-floating-point-summation-accurate-to-"
182190"full-p/>`_\\ ."
183191msgstr ""
192+ "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 "
193+ "<https://code.activestate.com/recipes/393090/>`_。"
184194
185195#: ../../library/math.rst:126
186196msgid ""
@@ -190,24 +200,27 @@ msgid ""
190200"zero, then the returned value is ``0``. ``gcd()`` without arguments returns "
191201"``0``."
192202msgstr ""
203+ "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"
204+ "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"
205+ "也將回傳 ``0``。"
193206
194207#: ../../library/math.rst:134
195208msgid ""
196209"Added support for an arbitrary number of arguments. Formerly, only two "
197210"arguments were supported."
198- msgstr ""
211+ msgstr "新增支援任意數量的引數。先前僅支援兩個引數。 "
199212
200213#: ../../library/math.rst:141
201214msgid ""
202215"Return ``True`` if the values *a* and *b* are close to each other and "
203216"``False`` otherwise."
204- msgstr ""
217+ msgstr "若 *a* 及 *b* 兩值足夠接近便回傳 ``True``，否則回傳 ``False``。 "
205218
206219#: ../../library/math.rst:144
207220msgid ""
208221"Whether or not two values are considered close is determined according to "
209222"given absolute and relative tolerances."
210- msgstr ""
223+ 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）。 "
211224
212225#: ../../library/math.rst:147
213226msgid ""
@@ -217,18 +230,26 @@ msgid ""
217230"tolerance is ``1e-09``, which assures that the two values are the same "
218231"within about 9 decimal digits. *rel_tol* must be greater than zero."
219232msgstr ""
233+ "*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"
234+ "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"
235+ "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 "
236+ "``0``。"
220237
221238#: ../../library/math.rst:153
222239msgid ""
223240"*abs_tol* is the minimum absolute tolerance -- useful for comparisons near "
224241"zero. *abs_tol* must be at least zero."
225242msgstr ""
243+ "*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 "
244+ "``0``。"
226245
227246#: ../../library/math.rst:156
228247msgid ""
229248"If no errors occur, the result will be: ``abs(a-b) <= max(rel_tol * "
230249"max(abs(a), abs(b)), abs_tol)``."
231250msgstr ""
251+ "若未發生任何錯誤，函式結果為 ``abs(a-b) <= max(rel_tol * max(abs(a), "
252+ "abs(b)), abs_tol)``。"
232253
233254#: ../../library/math.rst:159
234255msgid ""
@@ -237,34 +258,43 @@ msgid ""
237258"close to any other value, including ``NaN``. ``inf`` and ``-inf`` are only "
238259"considered close to themselves."
239260msgstr ""
261+ "定義於 IEEE 754 浮點標準中的特殊值 ``NaN``、``inf`` 和 ``-inf`` 會根據該標準"
262+ "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`` "
263+ "及 ``-inf`` 皆只與自身接近。"
240264
241265#: ../../library/math.rst:168
242266msgid ":pep:`485` -- A function for testing approximate equality"
243- msgstr ""
267+ msgstr ":pep:`485` ── 用於測試近似相等的函式 "
244268
245269#: ../../library/math.rst:173
246270msgid ""
247271"Return ``True`` if *x* is neither an infinity nor a NaN, and ``False`` "
248272"otherwise. (Note that ``0.0`` *is* considered finite.)"
249273msgstr ""
274+ "若 *x* 不是無限值或 ``NaN`` 便回傳 ``True``，否則回傳 ``False``。（注意 "
275+ "``0.0`` 被視為有限數。）"
250276
251277#: ../../library/math.rst:181
252278msgid ""
253279"Return ``True`` if *x* is a positive or negative infinity, and ``False`` "
254280"otherwise."
255- msgstr ""
281+ msgstr "若 *x* 是正無限值或負無限值便回傳 ``True``，否則回傳 ``False``。 "
256282
257283#: ../../library/math.rst:187
258284msgid ""
259285"Return ``True`` if *x* is a NaN (not a number), and ``False`` otherwise."
260286msgstr ""
287+ "若 *x* 是 ``NaN`` ── 即非數字（NaN, not a number）── 便回傳 ``True``，否則回"
288+ "傳 ``False``。"
261289
262290#: ../../library/math.rst:192
263291msgid ""
264292"Return the integer square root of the nonnegative integer *n*. This is the "
265293"floor of the exact square root of *n*, or equivalently the greatest integer "
266294"*a* such that *a*\\ ² |nbsp| ≤ |nbsp| *n*."
267295msgstr ""
296+ "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"
297+ "足 *a*\\ ² |nbsp| ≤ |nbsp| *n* 的最大整數值 *a*。"
268298
269299#: ../../library/math.rst:196
270300msgid ""
@@ -273,6 +303,9 @@ msgid ""
273303"the exact square root of *n*. For positive *n*, this can be computed using "
274304"``a = 1 + isqrt(n - 1)``."
275305msgstr ""
306+ "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"
307+ "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 = "
308+ "1 + isqrt(n - 1)`` 計算。"
276309
277310#: ../../library/math.rst:206
278311msgid ""
@@ -282,12 +315,15 @@ msgid ""
282315"zero, then the returned value is ``0``. ``lcm()`` without arguments returns "
283316"``1``."
284317msgstr ""
318+ "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"
319+ "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"
320+ "引數將回傳 ``1``。"
285321
286322#: ../../library/math.rst:217
287323msgid ""
288324"Return ``x * (2**i)``. This is essentially the inverse of function :func:"
289325"`frexp`."
290- msgstr ""
326+ msgstr "回傳 ``x * (2**i)``。此函式本質上為 :func:`frexp` 的反函式。 "
291327
292328#: ../../library/math.rst:223
293329msgid ""