#, fuzzy
msgid ""
msgstr ""
"Project-Id-Version: man-pages-l10n VERSION\n"
"POT-Creation-Date: 2014-07-17 17:57+0900\n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"

#. type: TH
#: man-pages/man7/complex.7:7
#, no-wrap
msgid "COMPLEX"
msgstr ""

#. type: TH
#: man-pages/man7/complex.7:7
#, no-wrap
msgid "2011-09-16"
msgstr ""

#. type: TH
#: man-pages/man7/complex.7:7
#, no-wrap
msgid "Linux Programmer's Manual"
msgstr ""

#. type: SH
#: man-pages/man7/complex.7:8
#, no-wrap
msgid "NAME"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:10
msgid "complex - basics of complex mathematics"
msgstr ""

#. type: SH
#: man-pages/man7/complex.7:10
#, no-wrap
msgid "SYNOPSIS"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:12
msgid "B<#include E<lt>complex.hE<gt>>"
msgstr ""

#. type: SH
#: man-pages/man7/complex.7:12
#, no-wrap
msgid "DESCRIPTION"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:15
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 ""

#. type: Plain text
#: man-pages/man7/complex.7:25
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 ""

#. type: Plain text
#: man-pages/man7/complex.7:27
msgid "The basic operations are defined on z = a+b*i and w = c+d*i as:"
msgstr ""

#. type: TP
#: man-pages/man7/complex.7:27
#, no-wrap
msgid "B<addition: z+w = (a+c) + (b+d)*i>"
msgstr ""

#. type: TP
#: man-pages/man7/complex.7:29
#, no-wrap
msgid "B<multiplication: z*w = (a*c - b*d) + (a*d + b*c)*i>"
msgstr ""

#. type: TP
#: man-pages/man7/complex.7:31
#, 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 ""

#. type: Plain text
#: man-pages/man7/complex.7:36
msgid ""
"Nearly all math function have a complex counterpart but there are some "
"complex-only functions."
msgstr ""

#. type: SH
#: man-pages/man7/complex.7:36
#, no-wrap
msgid "EXAMPLE"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:40
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 ""

#. type: Plain text
#: man-pages/man7/complex.7:46
#, 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 ""

#. type: Plain text
#: man-pages/man7/complex.7:54
#, 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 ""

#. type: SH
#: man-pages/man7/complex.7:55
#, no-wrap
msgid "SEE ALSO"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:82
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 ""

#. type: SH
#: man-pages/man7/complex.7:82
#, no-wrap
msgid "COLOPHON"
msgstr ""

#. type: Plain text
#: man-pages/man7/complex.7:90
msgid ""
"This page is part of release 3.70 of the Linux I<man-pages> project.  A "
"description of the project, information about reporting bugs, and the latest "
"version of this page, can be found at \\%http://www.kernel.org/doc/man-pages/"
"."
msgstr ""