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# Python Documentation Turkish Translation
# Copyright (C) 2001-2022, Python Software Foundation
# This file is distributed under the same license as the Python package.
#
#, fuzzy
msgid ""
msgstr ""
"Project-Id-Version: Python 3.11\n"
"Report-Msgid-Bugs-To: \n"
"POT-Creation-Date: 2022-12-17 01:28+0300\n"
"PO-Revision-Date: YEAR-MO-DA HO:MI+ZONE\n"
"Last-Translator: \n"
"Language-Team: TURKISH <python.docs.tr@gmail.com>\n"
"Language: tr\n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"
#: library/cmath.rst:2
msgid ":mod:`cmath` --- Mathematical functions for complex numbers"
msgstr ""
#: 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:`__complex__` or a :meth:`__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 ""
#: library/cmath.rst:18
msgid ""
"On platforms with hardware and system-level support for signed zeros, "
"functions involving branch cuts are continuous on *both* sides of the branch "
"cut: the sign of the zero distinguishes one side of the branch cut from the "
"other. On platforms that do not support signed zeros the continuity is as "
"specified below."
msgstr ""
#: library/cmath.rst:26
msgid "Conversions to and from polar coordinates"
msgstr ""
#: library/cmath.rst:28
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``. In other words::"
msgstr ""
#: library/cmath.rst:35
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 ""
#: library/cmath.rst:42
msgid ""
"The following functions can be used to convert from the native rectangular "
"coordinates to polar coordinates and back."
msgstr ""
#: library/cmath.rst:47
msgid ""
"Return the phase of *x* (also known as the *argument* of *x*), as a float. "
"``phase(x)`` is equivalent to ``math.atan2(x.imag, x.real)``. The result "
"lies in the range [-\\ *π*, *π*], and the branch cut for this operation lies "
"along the negative real axis, continuous from above. On systems with "
"support for signed zeros (which includes most systems in current use), this "
"means that the sign of the result is the same as the sign of ``x.imag``, "
"even when ``x.imag`` is zero::"
msgstr ""
#: library/cmath.rst:64
msgid ""
"The modulus (absolute value) of a complex number *x* 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:71
msgid ""
"Return the representation of *x* in polar coordinates. Returns a pair ``(r, "
"phi)`` where *r* is the modulus of *x* and phi is the phase of *x*. "
"``polar(x)`` is equivalent to ``(abs(x), phase(x))``."
msgstr ""
#: library/cmath.rst:79
msgid ""
"Return the complex number *x* with polar coordinates *r* and *phi*. "
"Equivalent to ``r * (math.cos(phi) + math.sin(phi)*1j)``."
msgstr ""
#: library/cmath.rst:84
msgid "Power and logarithmic functions"
msgstr ""
#: library/cmath.rst:88
msgid ""
"Return *e* raised to the power *x*, where *e* is the base of natural "
"logarithms."
msgstr ""
#: library/cmath.rst:94
msgid ""
"Returns the logarithm of *x* to the given *base*. If the *base* is not "
"specified, returns the natural logarithm of *x*. There is one branch cut, "
"from 0 along the negative real axis to -∞, continuous from above."
msgstr ""
#: library/cmath.rst:101
msgid ""
"Return the base-10 logarithm of *x*. This has the same branch cut as :func:"
"`log`."
msgstr ""
#: library/cmath.rst:107
msgid ""
"Return the square root of *x*. This has the same branch cut as :func:`log`."
msgstr ""
#: library/cmath.rst:111
msgid "Trigonometric functions"
msgstr ""
#: library/cmath.rst:115
msgid ""
"Return the arc cosine of *x*. There are two branch cuts: One extends right "
"from 1 along the real axis to ∞, continuous from below. The other extends "
"left from -1 along the real axis to -∞, continuous from above."
msgstr ""
#: library/cmath.rst:122
msgid ""
"Return the arc sine of *x*. This has the same branch cuts as :func:`acos`."
msgstr ""
#: library/cmath.rst:127
msgid ""
"Return the arc tangent of *x*. There are two branch cuts: One extends from "
"``1j`` along the imaginary axis to ``∞j``, continuous from the right. The "
"other extends from ``-1j`` along the imaginary axis to ``-∞j``, continuous "
"from the left."
msgstr ""
#: library/cmath.rst:135
msgid "Return the cosine of *x*."
msgstr ""
#: library/cmath.rst:140
msgid "Return the sine of *x*."
msgstr ""
#: library/cmath.rst:145
msgid "Return the tangent of *x*."
msgstr ""
#: library/cmath.rst:149
msgid "Hyperbolic functions"
msgstr ""
#: library/cmath.rst:153
msgid ""
"Return the inverse hyperbolic cosine of *x*. There is one branch cut, "
"extending left from 1 along the real axis to -∞, continuous from above."
msgstr ""
#: library/cmath.rst:159
msgid ""
"Return the inverse hyperbolic sine of *x*. There are two branch cuts: One "
"extends from ``1j`` along the imaginary axis to ``∞j``, continuous from the "
"right. The other extends from ``-1j`` along the imaginary axis to ``-∞j``, "
"continuous from the left."
msgstr ""
#: library/cmath.rst:167
msgid ""
"Return the inverse hyperbolic tangent of *x*. There are two branch cuts: One "
"extends from ``1`` along the real axis to ``∞``, continuous from below. The "
"other extends from ``-1`` along the real axis to ``-∞``, continuous from "
"above."
msgstr ""
#: library/cmath.rst:175
msgid "Return the hyperbolic cosine of *x*."
msgstr ""
#: library/cmath.rst:180
msgid "Return the hyperbolic sine of *x*."
msgstr ""
#: library/cmath.rst:185
msgid "Return the hyperbolic tangent of *x*."
msgstr ""
#: library/cmath.rst:189
msgid "Classification functions"
msgstr ""
#: library/cmath.rst:193
msgid ""
"Return ``True`` if both the real and imaginary parts of *x* are finite, and "
"``False`` otherwise."
msgstr ""
#: library/cmath.rst:201
msgid ""
"Return ``True`` if either the real or the imaginary part of *x* is an "
"infinity, and ``False`` otherwise."
msgstr ""
#: library/cmath.rst:207
msgid ""
"Return ``True`` if either the real or the imaginary part of *x* is a NaN, "
"and ``False`` otherwise."
msgstr ""
#: library/cmath.rst:213
msgid ""
"Return ``True`` if the values *a* and *b* are close to each other and "
"``False`` otherwise."
msgstr ""
#: library/cmath.rst:216
msgid ""
"Whether or not two values are considered close is determined according to "
"given absolute and relative tolerances."
msgstr ""
#: library/cmath.rst:219
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 greater than zero."
msgstr ""
#: library/cmath.rst:225
msgid ""
"*abs_tol* is the minimum absolute tolerance -- useful for comparisons near "
"zero. *abs_tol* must be at least zero."
msgstr ""
#: library/cmath.rst:228
msgid ""
"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:231
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 ""
#: library/cmath.rst:240
msgid ":pep:`485` -- A function for testing approximate equality"
msgstr ""
#: library/cmath.rst:244
msgid "Constants"
msgstr ""
#: library/cmath.rst:248
msgid "The mathematical constant *π*, as a float."
msgstr ""
#: library/cmath.rst:253
msgid "The mathematical constant *e*, as a float."
msgstr ""
#: library/cmath.rst:258
msgid "The mathematical constant *τ*, as a float."
msgstr ""
#: library/cmath.rst:265
msgid "Floating-point positive infinity. Equivalent to ``float('inf')``."
msgstr ""
#: library/cmath.rst:272
msgid ""
"Complex number with zero real part and positive infinity imaginary part. "
"Equivalent to ``complex(0.0, float('inf'))``."
msgstr ""
#: library/cmath.rst:280
msgid ""
"A floating-point \"not a number\" (NaN) value. Equivalent to "
"``float('nan')``."
msgstr ""
#: library/cmath.rst:288
msgid ""
"Complex number with zero real part and NaN imaginary part. Equivalent to "
"``complex(0.0, float('nan'))``."
msgstr ""
#: library/cmath.rst:296
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 ""
#: library/cmath.rst:304
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 ""
#: library/cmath.rst:314
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 ""