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diff --git a/po/de/man7/complex.7.po b/po/de/man7/complex.7.po new file mode 100644 index 00000000..df5d218d --- /dev/null +++ b/po/de/man7/complex.7.po @@ -0,0 +1,294 @@ +# German translation of manpages +# This file is distributed under the same license as the manpages-l10n package. +# Copyright © of this file: +# Jens Rohler <jkcr@rohler.de> +# Martin Eberhard Schauer <Martin.E.Schauer@gmx.de>, 2010. +msgid "" +msgstr "" +"Project-Id-Version: manpages-l10n 4.19.0\n" +"POT-Creation-Date: 2024-03-01 16:54+0100\n" +"PO-Revision-Date: 2023-08-11 20:50+0200\n" +"Last-Translator: Martin Eberhard Schauer <Martin.E.Schauer@gmx.de>\n" +"Language-Team: German <debian-l10n-german@lists.debian.org>\n" +"Language: de\n" +"MIME-Version: 1.0\n" +"Content-Type: text/plain; charset=UTF-8\n" +"Content-Transfer-Encoding: 8bit\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. Oktober 2023" + +#. 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 "BEZEICHNUNG" + +#. 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 - Grundlagen der komplexen Mathematik" + +#. type: SH +#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron +#: opensuse-tumbleweed +#, no-wrap +msgid "LIBRARY" +msgstr "BIBLIOTHEK" + +#. type: Plain text +#: archlinux debian-unstable fedora-40 fedora-rawhide mageia-cauldron +#: opensuse-tumbleweed +msgid "Math library (I<libm>, I<-lm>)" +msgstr "Mathematik-Bibliothek (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 "ÜBERSICHT" + +#. 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 "BESCHREIBUNG" + +#. 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 "" +"Komplexe Zahlen sind Zahlen der Form z = a+b*i, wobei a und b reelle Zahlen " +"sind und i = sqrt(-1), also 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 "" +"Es gibt andere Darstellungen dieser Zahl. Das Paar (a,b) reeller Zahlen kann " +"als Punkt in der Ebene betrachtet werden, der durch die X- und Y-Koordinaten " +"gegeben ist. Derselbe Punkt kann auch durch ein Paar (r,phi) von reellen " +"Zahlen beschrieben werden, wobei r der Abstand vom Ursprung O ist und phi " +"der Winkel zwischen der X-Achse und der Geraden Oz. Es ist 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 "" +"Die grundlegenden Operationen sind auf z = a+b*i und w = c+d*i " +"folgendermaßen definiert:" + +#. 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<Addition: 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<Multiplikation: 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<Division: 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 "" +"Nahezu alle Funktionen aus math.h haben komplexe Entsprechungen, aber es " +"gibt auch einige Funktionen, die es nur in complex.h gibt." + +#. type: SH +#: archlinux debian-bookworm debian-unstable fedora-40 fedora-rawhide +#: mageia-cauldron opensuse-leap-15-6 opensuse-tumbleweed +#, no-wrap +msgid "EXAMPLES" +msgstr "BEISPIELE" + +#. 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 "" +"Ihr C-Compiler kann mit komplexen Zahlen arbeiten, wenn er den C99-Standard " +"unterstützt. Die imaginäre Einheit wird durch I dargestellt." + +#. 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 "" +"/* überprüfe exp(i*pi) == -1 */\n" +"#include E<lt>math.hE<gt> /* für atan */\n" +"#include E<lt>complex.hE<gt>\n" +"#include E<lt>stdio.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 "SIEHE AUCH" + +#. 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. Oktober 2022" + +#. 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 "" +"Ihr C-Compiler kann mit komplexen Zahlen arbeiten, wenn er den C99-Standard " +"unterstützt. Sie müssen mit I<-lm> linken. Die imaginäre Einheit wird durch " +"I dargestellt." + +#. 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 "" +"/* überprüfe exp(i*pi) == -1 */\n" +"#include E<lt>math.hE<gt> /* für atan */\n" +"#include E<lt>complex.hE<gt>\n" +"#include E<lt>stdio.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. Juli 2023" + +#. 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-Handbuchseiten 6.04" |