cmath.po

# SOME DESCRIPTIVE TITLE.
# Copyright (C) 2001-2025, Python Software Foundation
# This file is distributed under the same license as the Python package.
# FIRST AUTHOR <EMAIL@ADDRESS>, YEAR.
#
# Translators:
# Arihiro TAKASE, 2023
# tomo, 2023
# TENMYO Masakazu, 2023
# 石井明久, 2024
#
#,fuzzy
msgid ""
msgstr ""
"Project-Id-Version: Python 3.13\n"
"Report-Msgid-Bugs-To: \n"
"POT-Creation-Date: 2025-04-11 14:19+0000\n"
"PO-Revision-Date: 2021-06-28 00:56+0000\n"
"Last-Translator: 石井明久, 2024\n"
"Language-Team: Japanese (https://app.transifex.com/python-doc/teams/5390/"
"ja/)\n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"
"Language: ja\n"
"Plural-Forms: nplurals=1; plural=0;\n"

#:../../library/cmath.rst:2
msgid":mod:`!cmath` --- Mathematical functions for complex numbers"
msgstr":mod:`!cmath` --- 複素数用の数学関数"

#:../../library/cmath.rst:9
msgid""
"This module provides access to mathematical functions for complex numbers. "
"The functions in this module accept integers, floating-point numbers or "
"complex numbers as arguments. They will also accept any Python object that "
"has either a :meth:`~object.__complex__` or a :meth:`~object.__float__` "
"method: these methods are used to convert the object to a complex or "
"floating-point number, respectively, and the function is then applied to the "
"result of the conversion."
msgstr""
"このモジュールは、複素数を扱う数学関数へのアクセスを提供しています。\n"
"このモジュール中の関数は整数、浮動小数点数または複素数を引数にとります。\n"
"また、 :meth:`~object.__complex__` または :meth:`~object.__float__` どちらか"
"のメソッドを提供している Python オブジェクトも受け付けます。\n"
"これらのメソッドはそのオブジェクトを複素数または浮動小数点数に変換するのにそ"
"れぞれ使われ、呼び出された関数はそうして変換された結果を利用します。"

#:../../library/cmath.rst:18
msgid""
"For functions involving branch cuts, we have the problem of deciding how to "
"define those functions on the cut itself. Following Kahan's \"Branch cuts "
"for complex elementary functions\" paper, as well as Annex G of C99 and "
"later C standards, we use the sign of zero to distinguish one side of the "
"branch cut from the other: for a branch cut along (a portion of) the real "
"axis we look at the sign of the imaginary part, while for a branch cut along "
"the imaginary axis we look at the sign of the real part."
msgstr""

#:../../library/cmath.rst:26
msgid""
"For example, the :func:`cmath.sqrt` function has a branch cut along the "
"negative real axis. An argument of ``complex(-2.0, -0.0)`` is treated as "
"though it lies *below* the branch cut, and so gives a result on the negative "
"imaginary axis::"
msgstr""

#:../../library/cmath.rst:31
msgid""
">>> cmath.sqrt(complex(-2.0, -0.0))\n"
"-1.4142135623730951j"
msgstr""

#:../../library/cmath.rst:34
msgid""
"But an argument of ``complex(-2.0, 0.0)`` is treated as though it lies above "
"the branch cut::"
msgstr""

#:../../library/cmath.rst:37
msgid""
">>> cmath.sqrt(complex(-2.0, 0.0))\n"
"1.4142135623730951j"
msgstr""

#:../../library/cmath.rst:42
msgid"**Conversions to and from polar coordinates**"
msgstr""

#:../../library/cmath.rst:44
msgid":func:`phase(z) <phase>`"
msgstr""

#:../../library/cmath.rst:44
msgid"Return the phase of *z*"
msgstr""

#:../../library/cmath.rst:45
msgid":func:`polar(z) <polar>`"
msgstr""

#:../../library/cmath.rst:45
msgid"Return the representation of *z* in polar coordinates"
msgstr""

#:../../library/cmath.rst:46
msgid":func:`rect(r, phi) <rect>`"
msgstr""

#:../../library/cmath.rst:46
msgid"Return the complex number *z* with polar coordinates *r* and *phi*"
msgstr""

#:../../library/cmath.rst:48
msgid"**Power and logarithmic functions**"
msgstr""

#:../../library/cmath.rst:50
msgid":func:`exp(z) <exp>`"
msgstr""

#:../../library/cmath.rst:50
msgid"Return *e* raised to the power *z*"
msgstr""

#:../../library/cmath.rst:51
msgid":func:`log(z[, base]) <log>`"
msgstr""

#:../../library/cmath.rst:51
msgid"Return the logarithm of *z* to the given *base* (*e* by default)"
msgstr""

#:../../library/cmath.rst:52
msgid":func:`log10(z) <log10>`"
msgstr""

#:../../library/cmath.rst:52
msgid"Return the base-10 logarithm of *z*"
msgstr""

#:../../library/cmath.rst:53
msgid":func:`sqrt(z) <sqrt>`"
msgstr""

#:../../library/cmath.rst:53
msgid"Return the square root of *z*"
msgstr""

#:../../library/cmath.rst:55
msgid"**Trigonometric functions**"
msgstr""

#:../../library/cmath.rst:57
msgid":func:`acos(z) <acos>`"
msgstr""

#:../../library/cmath.rst:57
msgid"Return the arc cosine of *z*"
msgstr""

#:../../library/cmath.rst:58
msgid":func:`asin(z) <asin>`"
msgstr""

#:../../library/cmath.rst:58
msgid"Return the arc sine of *z*"
msgstr""

#:../../library/cmath.rst:59
msgid":func:`atan(z) <atan>`"
msgstr""

#:../../library/cmath.rst:59
msgid"Return the arc tangent of *z*"
msgstr""

#:../../library/cmath.rst:60
msgid":func:`cos(z) <cos>`"
msgstr""

#:../../library/cmath.rst:60
msgid"Return the cosine of *z*"
msgstr""

#:../../library/cmath.rst:61
msgid":func:`sin(z) <sin>`"
msgstr""

#:../../library/cmath.rst:61
msgid"Return the sine of *z*"
msgstr""

#:../../library/cmath.rst:62
msgid":func:`tan(z) <tan>`"
msgstr""

#:../../library/cmath.rst:62
msgid"Return the tangent of *z*"
msgstr""

#:../../library/cmath.rst:64
msgid"**Hyperbolic functions**"
msgstr""

#:../../library/cmath.rst:66
msgid":func:`acosh(z) <acosh>`"
msgstr""

#:../../library/cmath.rst:66
msgid"Return the inverse hyperbolic cosine of *z*"
msgstr""

#:../../library/cmath.rst:67
msgid":func:`asinh(z) <asinh>`"
msgstr""

#:../../library/cmath.rst:67
msgid"Return the inverse hyperbolic sine of *z*"
msgstr""

#:../../library/cmath.rst:68
msgid":func:`atanh(z) <atanh>`"
msgstr""

#:../../library/cmath.rst:68
msgid"Return the inverse hyperbolic tangent of *z*"
msgstr""

#:../../library/cmath.rst:69
msgid":func:`cosh(z) <cosh>`"
msgstr""

#:../../library/cmath.rst:69
msgid"Return the hyperbolic cosine of *z*"
msgstr""

#:../../library/cmath.rst:70
msgid":func:`sinh(z) <sinh>`"
msgstr""

#:../../library/cmath.rst:70
msgid"Return the hyperbolic sine of *z*"
msgstr""

#:../../library/cmath.rst:71
msgid":func:`tanh(z) <tanh>`"
msgstr""

#:../../library/cmath.rst:71
msgid"Return the hyperbolic tangent of *z*"
msgstr""

#:../../library/cmath.rst:73
msgid"**Classification functions**"
msgstr""

#:../../library/cmath.rst:75
msgid":func:`isfinite(z) <isfinite>`"
msgstr""

#:../../library/cmath.rst:75
msgid"Check if all components of *z* are finite"
msgstr""

#:../../library/cmath.rst:76
msgid":func:`isinf(z) <isinf>`"
msgstr""

#:../../library/cmath.rst:76
msgid"Check if any component of *z* is infinite"
msgstr""

#:../../library/cmath.rst:77
msgid":func:`isnan(z) <isnan>`"
msgstr""

#:../../library/cmath.rst:77
msgid"Check if any component of *z* is a NaN"
msgstr""

#:../../library/cmath.rst:78
msgid":func:`isclose(a, b, *, rel_tol, abs_tol) <isclose>`"
msgstr""

#:../../library/cmath.rst:78
msgid"Check if the values *a* and *b* are close to each other"
msgstr""

#:../../library/cmath.rst:80
msgid"**Constants**"
msgstr""

#:../../library/cmath.rst:82
msgid":data:`pi`"
msgstr""

#:../../library/cmath.rst:82
msgid"*π* = 3.141592..."
msgstr""

#:../../library/cmath.rst:83
msgid":data:`e`"
msgstr""

#:../../library/cmath.rst:83
msgid"*e* = 2.718281..."
msgstr""

#:../../library/cmath.rst:84
msgid":data:`tau`"
msgstr""

#:../../library/cmath.rst:84
msgid"*τ* = 2\\ *π* = 6.283185..."
msgstr""

#:../../library/cmath.rst:85
msgid":data:`inf`"
msgstr""

#:../../library/cmath.rst:85
msgid"Positive infinity"
msgstr""

#:../../library/cmath.rst:86
msgid":data:`infj`"
msgstr""

#:../../library/cmath.rst:86
msgid"Pure imaginary infinity"
msgstr""

#:../../library/cmath.rst:87
msgid":data:`nan`"
msgstr""

#:../../library/cmath.rst:87
msgid"\"Not a number\" (NaN)"
msgstr""

#:../../library/cmath.rst:88
msgid":data:`nanj`"
msgstr""

#:../../library/cmath.rst:88
msgid"Pure imaginary NaN"
msgstr""

#:../../library/cmath.rst:93
msgid"Conversions to and from polar coordinates"
msgstr"極座標変換"

#:../../library/cmath.rst:95
msgid""
"A Python complex number ``z`` is stored internally using *rectangular* or "
"*Cartesian* coordinates. It is completely determined by its *real part* ``z."
"real`` and its *imaginary part* ``z.imag``."
msgstr""

#:../../library/cmath.rst:99
msgid""
"*Polar coordinates* give an alternative way to represent a complex number. "
"In polar coordinates, a complex number *z* is defined by the modulus *r* and "
"the phase angle *phi*. The modulus *r* is the distance from *z* to the "
"origin, while the phase *phi* is the counterclockwise angle, measured in "
"radians, from the positive x-axis to the line segment that joins the origin "
"to *z*."
msgstr""
"*極座標* は複素数を表現する別の方法です。極座標では、複素数 *z* は半径 *r* と"
"位相角 *phi* で定義されます。半径 *r* は *z* から原点までの距離です。位相 "
"*phi* は x 軸の正の部分から原点と *z* を結んだ線分までの角度を反時計回りにラ"
"ジアンで測った値です。"

#:../../library/cmath.rst:106
msgid""
"The following functions can be used to convert from the native rectangular "
"coordinates to polar coordinates and back."
msgstr""
"次の関数はネイティブの直交座標を極座標に変換したりその逆を行うのに使えます。"

#:../../library/cmath.rst:111
msgid""
"Return the phase of *z* (also known as the *argument* of *z*), as a float. "
"``phase(z)`` is equivalent to ``math.atan2(z.imag, z.real)``. The result "
"lies in the range [-\\ *π*, *π*], and the branch cut for this operation lies "
"along the negative real axis. The sign of the result is the same as the "
"sign of ``z.imag``, even when ``z.imag`` is zero::"
msgstr""

#:../../library/cmath.rst:117
msgid""
">>> phase(complex(-1.0, 0.0))\n"
"3.141592653589793\n"
">>> phase(complex(-1.0, -0.0))\n"
"-3.141592653589793"
msgstr""

#:../../library/cmath.rst:125
msgid""
"The modulus (absolute value) of a complex number *z* can be computed using "
"the built-in :func:`abs` function. There is no separate :mod:`cmath` module "
"function for this operation."
msgstr""

#:../../library/cmath.rst:132
msgid""
"Return the representation of *z* in polar coordinates. Returns a pair ``(r, "
"phi)`` where *r* is the modulus of *z* and *phi* is the phase of *z*. "
"``polar(z)`` is equivalent to ``(abs(z), phase(z))``."
msgstr""

#:../../library/cmath.rst:140
msgid""
"Return the complex number *z* with polar coordinates *r* and *phi*. "
"Equivalent to ``complex(r * math.cos(phi), r * math.sin(phi))``."
msgstr""

#:../../library/cmath.rst:145
msgid"Power and logarithmic functions"
msgstr"指数関数と対数関数"

#:../../library/cmath.rst:149
msgid""
"Return *e* raised to the power *z*, where *e* is the base of natural "
"logarithms."
msgstr""

#:../../library/cmath.rst:155
msgid""
"Return the logarithm of *z* to the given *base*. If the *base* is not "
"specified, returns the natural logarithm of *z*. There is one branch cut, "
"from 0 along the negative real axis to -∞."
msgstr""

#:../../library/cmath.rst:162
msgid""
"Return the base-10 logarithm of *z*. This has the same branch cut as :func:"
"`log`."
msgstr""

#:../../library/cmath.rst:168
msgid""
"Return the square root of *z*. This has the same branch cut as :func:`log`."
msgstr""

#:../../library/cmath.rst:172
msgid"Trigonometric functions"
msgstr"三角関数"

#:../../library/cmath.rst:176
msgid""
"Return the arc cosine of *z*. There are two branch cuts: One extends right "
"from 1 along the real axis to ∞. The other extends left from -1 along the "
"real axis to -∞."
msgstr""

#:../../library/cmath.rst:183
msgid""
"Return the arc sine of *z*. This has the same branch cuts as :func:`acos`."
msgstr""

#:../../library/cmath.rst:188
msgid""
"Return the arc tangent of *z*. There are two branch cuts: One extends from "
"``1j`` along the imaginary axis to ``∞j``. The other extends from ``-1j`` "
"along the imaginary axis to ``-∞j``."
msgstr""

#:../../library/cmath.rst:195
msgid"Return the cosine of *z*."
msgstr""

#:../../library/cmath.rst:200
msgid"Return the sine of *z*."
msgstr""

#:../../library/cmath.rst:205
msgid"Return the tangent of *z*."
msgstr""

#:../../library/cmath.rst:209
msgid"Hyperbolic functions"
msgstr"双曲線関数"

#:../../library/cmath.rst:213
msgid""
"Return the inverse hyperbolic cosine of *z*. There is one branch cut, "
"extending left from 1 along the real axis to -∞."
msgstr""

#:../../library/cmath.rst:219
msgid""
"Return the inverse hyperbolic sine of *z*. There are two branch cuts: One "
"extends from ``1j`` along the imaginary axis to ``∞j``. The other extends "
"from ``-1j`` along the imaginary axis to ``-∞j``."
msgstr""

#:../../library/cmath.rst:226
msgid""
"Return the inverse hyperbolic tangent of *z*. There are two branch cuts: One "
"extends from ``1`` along the real axis to ``∞``. The other extends from "
"``-1`` along the real axis to ``-∞``."
msgstr""

#:../../library/cmath.rst:233
msgid"Return the hyperbolic cosine of *z*."
msgstr""

#:../../library/cmath.rst:238
msgid"Return the hyperbolic sine of *z*."
msgstr""

#:../../library/cmath.rst:243
msgid"Return the hyperbolic tangent of *z*."
msgstr""

#:../../library/cmath.rst:247
msgid"Classification functions"
msgstr"類別関数"

#:../../library/cmath.rst:251
msgid""
"Return ``True`` if both the real and imaginary parts of *z* are finite, and "
"``False`` otherwise."
msgstr""

#:../../library/cmath.rst:259
msgid""
"Return ``True`` if either the real or the imaginary part of *z* is an "
"infinity, and ``False`` otherwise."
msgstr""

#:../../library/cmath.rst:265
msgid""
"Return ``True`` if either the real or the imaginary part of *z* is a NaN, "
"and ``False`` otherwise."
msgstr""

#:../../library/cmath.rst:271
msgid""
"Return ``True`` if the values *a* and *b* are close to each other and "
"``False`` otherwise."
msgstr""
"値 *a* と *b* が互いに近い場合 ``True`` を、そうでない場合は ``False`` を返し"
"ます。"

#:../../library/cmath.rst:274
msgid""
"Whether or not two values are considered close is determined according to "
"given absolute and relative tolerances. If no errors occur, the result will "
"be: ``abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)``."
msgstr""

#:../../library/cmath.rst:278
msgid""
"*rel_tol* is the relative tolerance -- it is the maximum allowed difference "
"between *a* and *b*, relative to the larger absolute value of *a* or *b*. "
"For example, to set a tolerance of 5%, pass ``rel_tol=0.05``. The default "
"tolerance is ``1e-09``, which assures that the two values are the same "
"within about 9 decimal digits. *rel_tol* must be nonnegative and less than "
"``1.0``."
msgstr""

#:../../library/cmath.rst:285
msgid""
"*abs_tol* is the absolute tolerance; it defaults to ``0.0`` and it must be "
"nonnegative. When comparing ``x`` to ``0.0``, ``isclose(x, 0)`` is computed "
"as ``abs(x) <= rel_tol * abs(x)``, which is ``False`` for any ``x`` and "
"rel_tol less than ``1.0``. So add an appropriate positive abs_tol argument "
"to the call."
msgstr""

#:../../library/cmath.rst:291
msgid""
"The IEEE 754 special values of ``NaN``, ``inf``, and ``-inf`` will be "
"handled according to IEEE rules. Specifically, ``NaN`` is not considered "
"close to any other value, including ``NaN``. ``inf`` and ``-inf`` are only "
"considered close to themselves."
msgstr""
"IEEE 754 特殊値 ``NaN``、``inf``、``-inf`` は IEEE の規則に従って処理されま"
"す。\n"
"具体的には、``NaN`` は自身を含めたあらゆる値に近いとは見なされません。\n"
"``inf`` と ``-inf`` は自身とのみ近いと見なされます。"

#:../../library/cmath.rst:300
msgid":pep:`485` -- A function for testing approximate equality"
msgstr":pep:`485` -- 近似的に等しいことを調べる関数"

#:../../library/cmath.rst:304
msgid"Constants"
msgstr"定数"

#:../../library/cmath.rst:308
msgid"The mathematical constant *π*, as a float."
msgstr"定数 *π* (円周率)で、浮動小数点数です。"

#:../../library/cmath.rst:313
msgid"The mathematical constant *e*, as a float."
msgstr"定数 *e* (自然対数の底)で、浮動小数点数です。"

#:../../library/cmath.rst:318
msgid"The mathematical constant *τ*, as a float."
msgstr"数学定数 *τ* で、浮動小数点数です。"

#:../../library/cmath.rst:325
msgid"Floating-point positive infinity. Equivalent to ``float('inf')``."
msgstr"浮動小数点数の正の無限大です。``float('inf')`` と等価です。"

#:../../library/cmath.rst:332
msgid""
"Complex number with zero real part and positive infinity imaginary part. "
"Equivalent to ``complex(0.0, float('inf'))``."
msgstr""
"実部がゼロ、虚部が正の無限大の複素数です。``complex(0.0, float('inf'))`` と等"
"価です。"

#:../../library/cmath.rst:340
msgid""
"A floating-point \"not a number\" (NaN) value. Equivalent to "
"``float('nan')``."
msgstr""
"浮動小数点数の非数 \"not a number\" (NaN) です。``float('nan')`` と等価です。"

#:../../library/cmath.rst:348
msgid""
"Complex number with zero real part and NaN imaginary part. Equivalent to "
"``complex(0.0, float('nan'))``."
msgstr""
"実部がゼロ、虚部が NaN の複素数です。``complex(0.0, float('nan'))`` と等価で"
"す。"

#:../../library/cmath.rst:356
msgid""
"Note that the selection of functions is similar, but not identical, to that "
"in module :mod:`math`. The reason for having two modules is that some users "
"aren't interested in complex numbers, and perhaps don't even know what they "
"are. They would rather have ``math.sqrt(-1)`` raise an exception than "
"return a complex number. Also note that the functions defined in :mod:"
"`cmath` always return a complex number, even if the answer can be expressed "
"as a real number (in which case the complex number has an imaginary part of "
"zero)."
msgstr""
":mod:`math` と同じような関数が選ばれていますが、全く同じではないので注意して"
"ください。機能を二つのモジュールに分けているのは、複素数に興味がなかったり、"
"もしかすると複素数とは何かすら知らないようなユーザがいるからです。そういった"
"人たちはむしろ、 ``math.sqrt(-1)`` が複素数を返すよりも例外を送出してほしいと"
"考えます。また、 :mod:`cmath` で定義されている関数は、たとえ結果が実数で表現"
"可能な場合 (虚数部がゼロの複素数) でも、常に複素数を返すので注意してくださ"
"い。"

#:../../library/cmath.rst:364
msgid""
"A note on branch cuts: They are curves along which the given function fails "
"to be continuous. They are a necessary feature of many complex functions. "
"It is assumed that if you need to compute with complex functions, you will "
"understand about branch cuts. Consult almost any (not too elementary) book "
"on complex variables for enlightenment. For information of the proper "
"choice of branch cuts for numerical purposes, a good reference should be the "
"following:"
msgstr""
"分枝切断 (branch cut) に関する注釈: 分枝切断を持つ曲線上では、与えられた関数"
"は連続ではなくなります。これらは多くの複素関数における必然的な特性です。複素"
"関数を計算する必要がある場合、これらの分枝に関して理解しているものと仮定して"
"います。悟りに至るために何らかの (到底基礎的とはいえない) 複素数に関する書を"
"ひもといてください。数値計算を目的とした分枝切断の正しい選択方法についての情"
"報としては、以下がよい参考文献となります:"

#:../../library/cmath.rst:374
msgid""
"Kahan, W: Branch cuts for complex elementary functions; or, Much ado about "
"nothing's sign bit. In Iserles, A., and Powell, M. (eds.), The state of the "
"art in numerical analysis. Clarendon Press (1987) pp165--211."
msgstr""
"Kahan, W: Branch cuts for complex elementary functions; or, Much ado about "
"nothings's sign bit. In Iserles, A., and Powell, M. (eds.), The state of "
"the art in numerical analysis. Clarendon Press (1987) pp165--211."

#:../../library/cmath.rst:354
msgid"module"
msgstr"module"

#:../../library/cmath.rst:354
msgid"math"
msgstr"math"