# Polish translation of manpages
# This file is distributed under the same license as the manpages-l10n package.
# Copyright © of this file:
# Robert Luberda <robert@debian.org>, 2005, 2012.
# Michał Kułach <michal.kulach@gmail.com>, 2013, 2016, 2024.
msgid ""
msgstr ""
"Project-Id-Version: manpages-pl\n"
"POT-Creation-Date: 2024-03-01 16:54+0100\n"
"PO-Revision-Date: 2024-03-13 19:44+0100\n"
"Last-Translator: Michał Kułach <michal.kulach@gmail.com>\n"
"Language-Team: Polish <manpages-pl-list@lists.sourceforge.net>\n"
"Language: pl\n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"
"X-Generator: Lokalize 22.12.3\n"
"Plural-Forms: nplurals=3; plural=(n==1 ? 0 : n%10>=2 && n%10<=4 && (n%100<10 "
"|| n%100>=20) ? 1 : 2);\n"

#. type: TH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "complex"
msgstr "complex"

#. type: TH
#: archlinux fedora-40 fedora-rawhide mageia-cauldron
#, no-wrap
msgid "2023-10-31"
msgstr "31 października 2023 r."

#. type: TH
#: archlinux fedora-40 fedora-rawhide mageia-cauldron
#, no-wrap
msgid "Linux man-pages 6.06"
msgstr "Linux man-pages 6.06"

#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "NAME"
msgstr "NAZWA"

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "complex - basics of complex mathematics"
msgstr "complex - podstawy arytmetyki liczb zespolonych"

#. type: SH
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
#, no-wrap
msgid "LIBRARY"
msgstr "BIBLIOTEKA"

#. type: Plain text
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
msgid "Math library (I<libm>, I<-lm>)"
msgstr "Biblioteka matematyczna (I<libm>, I<-lm>)"

#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "SYNOPSIS"
msgstr "SKŁADNIA"

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "B<#include E<lt>complex.hE<gt>>\n"
msgstr "B<#include E<lt>complex.hE<gt>>\n"

#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "DESCRIPTION"
msgstr "OPIS"

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Complex numbers are numbers of the form z = a+b*i, where a and b are real "
"numbers and i = sqrt(-1), so that i*i = -1."
msgstr ""
"Liczb zespolone to liczby w postaci z = a+b*i, gdzie a oraz b są liczbami "
"rzeczywistymi, a  i = sqrt(-1),  tak że i*i = -1."

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"There are other ways to represent that number.  The pair (a,b) of real "
"numbers may be viewed as a point in the plane, given by X- and Y-"
"coordinates.  This same point may also be described by giving the pair of "
"real numbers (r,phi), where r is the distance to the origin O, and phi the "
"angle between the X-axis and the line Oz.  Now z = r*exp(i*phi) = "
"r*(cos(phi)+i*sin(phi))."
msgstr ""
"Istnieją inne sposoby reprezentowania tych liczb. Para (a,b) liczb "
"rzeczywistych może być potraktowana jako punkt przestrzeni, określony przez "
"współrzędne X i Y. Ten sam punkt może być opisany przez podanie pary liczb "
"rzeczywistych (r, phi), gdzie r jest odległością od środka O, a phi jest "
"kątem między linią współrzędnych X i linią Oz. Wtedy z = r*exp(i*phi) = "
"r*(cos(phi)+i*sin(phi))."

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid "The basic operations are defined on z = a+b*i and w = c+d*i as:"
msgstr ""
"Podstawowymi operacjami zdefiniowanymi na liczbach z = a+b*i oraz w = c+d*i "
"są:"

#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "B<addition: z+w = (a+c) + (b+d)*i>"
msgstr "B<dodawanie: z+w = (a+c) + (b+d)*i>"

#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "B<multiplication: z*w = (a*c - b*d) + (a*d + b*c)*i>"
msgstr "B<mnożenie: z*w = (a*c - b*d) + (a*d + b*c)*i>"

#. type: TP
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "B<division: z/w = ((a*c + b*d)/(c*c + d*d)) + ((b*c - a*d)/(c*c + d*d))*i>"
msgstr "B<dzielenie: z/w = ((a*c + b*d)/(c*c + d*d)) + ((b*c - a*d)/(c*c + d*d))*i>"

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"Nearly all math function have a complex counterpart but there are some "
"complex-only functions."
msgstr ""
"Prawie wszystkie funkcje matematyczne mają odpowiedniki dla liczb "
"zespolonych, jednakże istnieje parę funkcji przeznaczonych tylko dla liczb "
"zespolonych."

#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "EXAMPLES"
msgstr "PRZYKŁADY"

#. type: Plain text
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
msgid ""
"Your C-compiler can work with complex numbers if it supports the C99 "
"standard.  The imaginary unit is represented by I."
msgstr ""
"Kompilator języka C może pracować z liczbami zespolonymi, jeżeli tylko "
"obsługuje standard C99. Część urojona jest reprezentowana przez I."

#. type: Plain text
#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron
#: opensuse-tumbleweed
#, no-wrap
msgid ""
"/* check that exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* for atan */\n"
"#include E<lt>stdio.hE<gt>\n"
"#include E<lt>complex.hE<gt>\n"
"\\&\n"
"int\n"
"main(void)\n"
"{\n"
"    double pi = 4 * atan(1.0);\n"
"    double complex z = cexp(I * pi);\n"
"    printf(\"%f + %f * i\\en\", creal(z), cimag(z));\n"
"}\n"
msgstr ""
"/* sprawdza, że exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* dla atan */\n"
"#include E<lt>stdio.hE<gt>\n"
"#include E<lt>complex.hE<gt>\n"
"\\&\n"
"int\n"
"main(void)\n"
"{\n"
"    double pi = 4 * atan(1.0);\n"
"    double complex z = cexp(I * pi);\n"
"    printf(\"%f + %f * i\\en\", creal(z), cimag(z));\n"
"}\n"

#. type: SH
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
#, no-wrap
msgid "SEE ALSO"
msgstr "ZOBACZ TAKŻE"

#. type: Plain text
#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide
#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed
msgid ""
"B<cabs>(3), B<cacos>(3), B<cacosh>(3), B<carg>(3), B<casin>(3), "
"B<casinh>(3), B<catan>(3), B<catanh>(3), B<ccos>(3), B<ccosh>(3), "
"B<cerf>(3), B<cexp>(3), B<cexp2>(3), B<cimag>(3), B<clog>(3), B<clog10>(3), "
"B<clog2>(3), B<conj>(3), B<cpow>(3), B<cproj>(3), B<creal>(3), B<csin>(3), "
"B<csinh>(3), B<csqrt>(3), B<ctan>(3), B<ctanh>(3)"
msgstr ""
"B<cabs>(3), B<cacos>(3), B<cacosh>(3), B<carg>(3), B<casin>(3), "
"B<casinh>(3), B<catan>(3), B<catanh>(3), B<ccos>(3), B<ccosh>(3), "
"B<cerf>(3), B<cexp>(3), B<cexp2>(3), B<cimag>(3), B<clog>(3), B<clog10>(3), "
"B<clog2>(3), B<conj>(3), B<cpow>(3), B<cproj>(3), B<creal>(3), B<csin>(3), "
"B<csinh>(3), B<csqrt>(3), B<ctan>(3), B<ctanh>(3)"

#. type: TH
#: debian-bookworm opensuse-leap-15-6
#, no-wrap
msgid "2022-10-30"
msgstr "30 października 2022 r."

#. type: TH
#: debian-bookworm
#, no-wrap
msgid "Linux man-pages 6.03"
msgstr "Linux man-pages 6.03"

#. type: Plain text
#: debian-bookworm opensuse-leap-15-6
msgid ""
"Your C-compiler can work with complex numbers if it supports the C99 "
"standard.  Link with I<-lm>.  The imaginary unit is represented by I."
msgstr ""
"Kompilator języka C może pracować z liczbami zespolonymi, jeżeli tylko "
"obsługuje standard C99. Proszę linkować z I<-lm>. Część urojona jest "
"reprezentowana przez I."

#. type: Plain text
#: debian-bookworm opensuse-leap-15-6
#, no-wrap
msgid ""
"/* check that exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* for atan */\n"
"#include E<lt>stdio.hE<gt>\n"
"#include E<lt>complex.hE<gt>\n"
msgstr ""
"/* sprawdza, że exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* dla atan */\n"
"#include E<lt>stdio.hE<gt>\n"
"#include E<lt>complex.hE<gt>\n"

#. type: Plain text
#: debian-bookworm opensuse-leap-15-6
#, no-wrap
msgid ""
"int\n"
"main(void)\n"
"{\n"
"    double pi = 4 * atan(1.0);\n"
"    double complex z = cexp(I * pi);\n"
"    printf(\"%f + %f * i\\en\", creal(z), cimag(z));\n"
"}\n"
msgstr ""
"int\n"
"main(void)\n"
"{\n"
"    double pi = 4 * atan(1.0);\n"
"    double complex z = cexp(I * pi);\n"
"    printf(\"%f + %f * i\\en\", creal(z), cimag(z));\n"
"}\n"

#. type: TH
#: debian-unstable opensuse-tumbleweed
#, no-wrap
msgid "2023-07-18"
msgstr "18 lipca 2023 r."

#. type: TH
#: debian-unstable opensuse-tumbleweed
#, no-wrap
msgid "Linux man-pages 6.05.01"
msgstr "Linux man-pages 6.05.01"

#. type: TH
#: opensuse-leap-15-6
#, no-wrap
msgid "Linux man-pages 6.04"
msgstr "Linux man-pages 6.04"