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+# 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"