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# Copyright (C) 2001-2021, Python Software Foundation

# This file is distributed under the same license as the Python package.

# FIRST AUTHOR <EMAIL@ADDRESS>, YEAR.

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# Translators:

# Michał Biliński <m.bilinskimichal@gmail.com>, 2021

# Maciej Olko <maciej.olko@gmail.com>, 2021

#

#, fuzzy

msgid ""

msgstr ""

"Project-Id-Version: Python 3.9\n"

"Report-Msgid-Bugs-To: \n"

"POT-Creation-Date: 2021-01-01 05:02+0000\n"

"PO-Revision-Date: 2017-02-16 23:02+0000\n"

"Last-Translator: Maciej Olko <maciej.olko@gmail.com>, 2021\n"

"Language-Team: Polish (https://www.transifex.com/python-doc/teams/5390/pl/)\n"

"MIME-Version: 1.0\n"

"Content-Type: text/plain; charset=UTF-8\n"

"Content-Transfer-Encoding: 8bit\n"

"Language: pl\n"

"Plural-Forms: nplurals=4; plural=(n==1 ? 0 : (n%10>=2 && n%10<=4) && "

"(n%100<12 || n%100>14) ? 1 : n!=1 && (n%10>=0 && n%10<=1) || (n%10>=5 && "

"n%10<=9) || (n%100>=12 && n%100<=14) ? 2 : 3);\n"

msgid ":mod:`cmath` --- Mathematical functions for complex numbers"

msgstr ":mod:`cmath` --- Matematyczne funkcje dla liczb zespolonych"

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 ""

"Ten moduł zapewnia dostęp do funkcji matematycznych dla liczb zespolonych. "

"Funkcje w tym module akceptują liczby całkowite, liczby zmiennoprzecinkowe "

"lub liczby zespolone jako argumenty. Funkcje w tym module zaakceptują "

"również obiekty Python które zawierają metody :meth:`__complex__` lub :meth:"

"`__float__`: te metody są używane do konwertowania obiektów do liczb "

"zmiennoprzecinkowych lub zespolonych, odpowiednio, a funkcje używają później "

"wyników konwersji."

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 ""

msgid "Conversions to and from polar coordinates"

msgstr ""

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 ""

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 ""

msgid ""

"The following functions can be used to convert from the native rectangular "

"coordinates to polar coordinates and back."

msgstr ""

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 ""

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 ""

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 ""

msgid ""

"Return the complex number *x* with polar coordinates *r* and *phi*. "

"Equivalent to ``r * (math.cos(phi) + math.sin(phi)*1j)``."

msgstr ""

msgid "Power and logarithmic functions"

msgstr ""

msgid ""

"Return *e* raised to the power *x*, where *e* is the base of natural "

"logarithms."

msgstr ""

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 ""

msgid ""

"Return the base-10 logarithm of *x*. This has the same branch cut as :func:"

"`log`."

msgstr ""

msgid ""

"Return the square root of *x*. This has the same branch cut as :func:`log`."

msgstr ""

msgid "Trigonometric functions"

msgstr ""

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 ""

msgid ""

"Return the arc sine of *x*. This has the same branch cuts as :func:`acos`."

msgstr ""

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 ""

msgid "Return the cosine of *x*."

msgstr ""

msgid "Return the sine of *x*."

msgstr ""

msgid "Return the tangent of *x*."

msgstr ""

msgid "Hyperbolic functions"

msgstr ""

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 ""

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 ""

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 ""

msgid "Return the hyperbolic cosine of *x*."

msgstr "Zwraca cosinus hiperboliczny z *x*."

msgid "Return the hyperbolic sine of *x*."

msgstr "Zwraca sinus hiperboliczny z *x*."

msgid "Return the hyperbolic tangent of *x*."

msgstr "Zwraca tangens hiperboliczny z *x*."

msgid "Classification functions"

msgstr "Funkcje klasyfikujące"

msgid ""

"Return ``True`` if both the real and imaginary parts of *x* are finite, and "

"``False`` otherwise."

msgstr ""

"Zwraca 1 ``True`` jeżeli obie rzeczywista i urojona część *x* są skończone, "

"i 2``False`` w innym wypadku."

msgid ""

"Return ``True`` if either the real or the imaginary part of *x* is an "

"infinity, and ``False`` otherwise."

msgstr ""

" Zwraca 1 ``True`` jeżeli rzeczywista lub urojona część *x* jest skończona, "

"i 2``False`` w innym wypadku."

msgid ""

"Return ``True`` if either the real or the imaginary part of *x* is a NaN, "

"and ``False`` otherwise."

msgstr ""

" Zwraca 1 ``True`` jeżeli rzeczywista lub urojona część *x* jest NaN, i "

"2``False`` w innym wypadku."

msgid ""

"Return ``True`` if the values *a* and *b* are close to each other and "

"``False`` otherwise."

msgstr ""

"Zwraca 1``True`` jeżeli wartości *a* i *b* są zbliżone do siebie i "

"2``False`` w innym wypadku."

msgid ""

"Whether or not two values are considered close is determined according to "

"given absolute and relative tolerances."

msgstr ""

"To czy dwie wartości są zbliżone do siebie, zależy od dostarczonej "

"absolutnej lub relatywnej tolerancji."

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 ""

msgid ""

"*abs_tol* is the minimum absolute tolerance -- useful for comparisons near "

"zero. *abs_tol* must be at least zero."

msgstr ""

msgid ""

"If no errors occur, the result will be: ``abs(a-b) <= max(rel_tol * "

"max(abs(a), abs(b)), abs_tol)``."

msgstr ""

"Jeżeli nie wystąpi żaden błąd wynikiem będzie:\n"

" ``abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)``."

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 ""

msgid ":pep:`485` -- A function for testing approximate equality"

msgstr ""

msgid "Constants"

msgstr "Stały"

msgid "The mathematical constant *π*, as a float."

msgstr "Stałą matematyczną *π*, jako liczbę zmiennoprzecinkową"

msgid "The mathematical constant *e*, as a float."

msgstr "Stałą matematyczną *e*, jako liczbę zmiennoprzecinkową"

msgid "The mathematical constant *τ*, as a float."

msgstr "Stałą matematyczną *τ*, jako liczbę zmiennoprzecinkową"

msgid "Floating-point positive infinity. Equivalent to ``float('inf')``."

msgstr ""

msgid ""

"Complex number with zero real part and positive infinity imaginary part. "

"Equivalent to ``complex(0.0, float('inf'))``."

msgstr ""

msgid ""

"A floating-point \"not a number\" (NaN) value. Equivalent to "

"``float('nan')``."

msgstr ""

msgid ""

"Complex number with zero real part and NaN imaginary part. Equivalent to "

"``complex(0.0, float('nan'))``."

msgstr ""

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 ""

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 ""

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 ""