summaryrefslogtreecommitdiffstats
path: root/po/es/man7/complex.7.po
blob: 2495e289747276f070b762a98307648da41a2d8b (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
# Spanish translation of manpages
# This file is distributed under the same license as the manpages-l10n package.
# Copyright © of this file:
# Marcos Fouces <marcos@debian.org>, 2021-2023.
msgid ""
msgstr ""
"Project-Id-Version: manpages-l10n 4.11.0\n"
"POT-Creation-Date: 2024-03-01 16:54+0100\n"
"PO-Revision-Date: 2023-12-06 23:10+0100\n"
"Last-Translator: Marcos Fouces <marcos@debian.org>\n"
"Language-Team: Spanish <debian-l10n-spanish@lists.debian.org>\n"
"Language: es\n"
"MIME-Version: 1.0\n"
"Content-Type: text/plain; charset=UTF-8\n"
"Content-Transfer-Encoding: 8bit\n"
"Plural-Forms: nplurals=2; plural=(n != 1);\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 Octubre 2023"

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

#. 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 "complejo - números complejos"

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

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

#. 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 "DESCRIPCIÓN"

#. 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 ""
"Los números complejos tiene el siguiente formato: z = a+b*i, donde a y b son "
"números reales e i = raizcuadrada(-1), siendo 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 ""
"Son posibles otras formas de representación de este número. La pareja de "
"números reales (a,b) puede verse como un punto en el plano dado por unas "
"coordenadas X e Y. Este punto también se puede denotar con el par de números "
"reales (r,phi), siendo r la distancia al origen 0 y phi el ángulo entre el "
"eje X y la línea Oz. Entonces: z = r*exp(i*phi) = r*(cos(phi)+i*sen(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 ""
"Las operaciones básicas se definen a continuación. Sean z = a+b*i y w = "
"c+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<addition: z+w = (a+c) + (b+d)*i>"
msgstr "B<suma: 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<multiplicación: 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<división: 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 ""
"La práctica totalidad de funciones matemáticas tiene un homólogo complejo "
"pero existen algunas funciones exclusivamente complejas."

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

#. 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 ""
"Un compilador de C puede trabajar con números complejos si incluye soporte "
"para el estándar C99. La unidad imaginaria se representa mediante 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 ""
"/* comprueba que exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* para 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 "VÉASE TAMBIÉN"

#. 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 Octubre 2022"

#. type: TH
#: debian-bookworm
#, no-wrap
msgid "Linux man-pages 6.03"
msgstr "Páginas de manual de Linux 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 ""
"Un compilador de C puede trabajar con números complejos si incluye soporte "
"para el estándar C99. Enlaza con I<-lm>. La unidad imaginaria se representa "
"con 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 ""
"/* comprueba que exp(i * pi) == -1 */\n"
"#include E<lt>math.hE<gt>        /* para 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 ​​Julio 2023"

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

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