tag:blogger.com,1999:blog-23363203221715618722024-03-05T07:50:34.449-08:00Automatizacion y Control de Sist. DinamicosAdriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.comBlogger13125tag:blogger.com,1999:blog-2336320322171561872.post-78224828699847720542012-11-22T09:50:00.000-08:002012-11-22T09:50:02.774-08:00Tarea 7.El nivel de agua h(t) se controla por un sistema en lazo abierto tal como se muestra en la figura P2.48. Un motor de cc controlado por una corriente de inducido ia gira un eje abriendo una válvula La inductancia del motor cc es despreciable, es decir La = 0. También la fricción rotacional del eje del motor y la válvula es despreciable, esto es, b = 0. La altura del agua en el tanque es:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5qPz0cTXiLDwy05Vj5d46Q5g8JyeLZzN0mXl_bgpiFhUPEo9FOMNGKOX6nc20wL55tYsu8SMGKLdMWC6Ay2xosFd3E5j44z6r4PwT6-3f122KTyAOuSvfLepbKycIukSlvx0s5wfsUVPG/s1600/2.8(a).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi5qPz0cTXiLDwy05Vj5d46Q5g8JyeLZzN0mXl_bgpiFhUPEo9FOMNGKOX6nc20wL55tYsu8SMGKLdMWC6Ay2xosFd3E5j44z6r4PwT6-3f122KTyAOuSvfLepbKycIukSlvx0s5wfsUVPG/s1600/2.8(a).jpg" /></a></div>
la constante del motor es Km = 10 y la inercia del eje del motor y la válvula es J = 6 x 10-3 Kg-m2. Determínese (a) la ecuación diferencial para h(t) y v(t) y (b) la función de transferencia H(s)/V(s).<br />
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjphZMybHfqEcv1OdXTV5D25WKVWnsnTo_wy8D6gLqdjUU5BOACjW-UOgwAOw7NPE2Bc5hSbrM9bBLRN7oyeMU6WPoJZ-bISEW-TRhAyAtc068u1bYFkzUveQsu9CVBWy9v9Ur86W4LR3Uj/s1600/2.48.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="247" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjphZMybHfqEcv1OdXTV5D25WKVWnsnTo_wy8D6gLqdjUU5BOACjW-UOgwAOw7NPE2Bc5hSbrM9bBLRN7oyeMU6WPoJZ-bISEW-TRhAyAtc068u1bYFkzUveQsu9CVBWy9v9Ur86W4LR3Uj/s400/2.48.jpg" width="400" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Figura P2.48 Sistema de control en lazo abierto para el nivel de agua en un tanque.</td></tr>
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Ahora para obtener la ecuación diferencial de este sistema tenemos las siguientes relaciones:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwNdszIZPExwcE6TDSwyS-gDEgjZkxSSz6zZvZXJjSU7ICLtzCR-Bo7d6F0rZd4ds-PiFWoKNjX5-GsubTdmACSJ8X5Qjs4_BvBs_g3xcFpZLZss5u9uAOXqLrbKzESwOU0dQYTE3VHz-2/s1600/2.48(b).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiwNdszIZPExwcE6TDSwyS-gDEgjZkxSSz6zZvZXJjSU7ICLtzCR-Bo7d6F0rZd4ds-PiFWoKNjX5-GsubTdmACSJ8X5Qjs4_BvBs_g3xcFpZLZss5u9uAOXqLrbKzESwOU0dQYTE3VHz-2/s1600/2.48(b).jpg" /></a></div>
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y esta seria nuestra ecuación:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdNQ6bqi_exXOPPFymoFD0iLvpXqUJclKrjU2cCUjcOscu46uvsgcZiJBCdM9b1_JJAIh5Fve3i35rJNTj9cCv0x7F4CLxU0Y1rEfmSvFHMe5iBdar_4K3H60I97BE911KkwBoDvKMjBaX/s1600/2.48(c).jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgdNQ6bqi_exXOPPFymoFD0iLvpXqUJclKrjU2cCUjcOscu46uvsgcZiJBCdM9b1_JJAIh5Fve3i35rJNTj9cCv0x7F4CLxU0Y1rEfmSvFHMe5iBdar_4K3H60I97BE911KkwBoDvKMjBaX/s1600/2.48(c).jpg" /></a></div>
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<br />Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com2tag:blogger.com,1999:blog-2336320322171561872.post-77553563273094557562012-11-20T13:42:00.000-08:002012-11-21T23:05:55.904-08:00Videos-Proyecto<div class="separator" style="clear: both; text-align: center;">
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<iframe allowfullscreen='allowfullscreen' webkitallowfullscreen='webkitallowfullscreen' mozallowfullscreen='mozallowfullscreen' width='320' height='266' src='https://www.blogger.com/video.g?token=AD6v5dz4Oj6d3ZHR1Nb5GM-sL6h_Wr-2L81jyiaISgSa5ueff3B4aHLptgEJV4hH3V33y8JQYWRs8XvJLX1z-k7u' class='b-hbp-video b-uploaded' frameborder='0'></iframe></div>
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<br />Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com0tag:blogger.com,1999:blog-2336320322171561872.post-63243169994095380472012-11-15T15:01:00.001-08:002012-11-15T15:04:04.014-08:00Tarea 6<iframe height="480" src="https://docs.google.com/file/d/0B-9y-iB7A6AXMFJVYXlld0hzTDg/preview" width="640"></iframe>
código:
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-76321292002962343242012-11-13T12:30:00.001-08:002012-11-13T12:47:07.418-08:00RGPara esta semana se nos pidió hacer un reporte grupal..<br />
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En esta ocasión trabaje con mi compañero Rodolfo y aquí dejo el link en donde se encuentran los archivos descargables de el Reporte :)<br />
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Reporte Grupal</div>
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<iframe height="480" src="https://docs.google.com/file/d/0B-9y-iB7A6AXd3hNd0JrYy1QRFU/preview" width="640"></iframe>
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<a href="https://docs.google.com/open?id=0B-9y-iB7A6AXd3hNd0JrYy1QRFU">Presentación</a> </div>
Código<br />
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<script src="https://gist.github.com/4068253.js?file=Codigo"></script>
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Todos los<a href="https://www.dropbox.com/s/y1b474tigcw3c8q/auto.tar.gz"> Archivos</a> descargables :)<br />
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<a href="https://dl.dropbox.com/s/y1b474tigcw3c8q/auto.tar.gz?dl=1">otro link</a>Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-23483214215627283322012-11-01T15:47:00.002-07:002012-11-01T15:47:12.219-07:00Tarea 5Considere el sistema de control con la siguiente funcion de transferencia en lazo abierto G(s):<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeRKZlr7Yj0e7iubAHH1xxE_53XkLKTHj_OTAE7MyyuAEJjYdK5CYLEi6AzeqCHqUkOSJG-7aP3am1pILEhPry0Oj2DhkmtM2UZPxNDyxCd05D2IgsHbMrgCQwN6LzfyRSMQXHGHNWkNWB/s1600/a1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjeRKZlr7Yj0e7iubAHH1xxE_53XkLKTHj_OTAE7MyyuAEJjYdK5CYLEi6AzeqCHqUkOSJG-7aP3am1pILEhPry0Oj2DhkmtM2UZPxNDyxCd05D2IgsHbMrgCQwN6LzfyRSMQXHGHNWkNWB/s1600/a1.png" /></a></div>
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Dibuje los diagramas de Nyquist de G(s) para K=1, 10 y 100.</div>
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y este es su diagrama:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEiUAPBJIVdYFs79gxzGCQ0j0r9oacRlAHkUU1JlJRwR_NDFM0x04nzRf3NxIKoopNhCKW3kiuVvIoOsszAsCnP7gnb7ea6M7TK86-uZuS7CGCSIg-SQpFhjLOiJvgmGnEkvi2IKkQZAmP/s1600/ad1.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="263" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgEiUAPBJIVdYFs79gxzGCQ0j0r9oacRlAHkUU1JlJRwR_NDFM0x04nzRf3NxIKoopNhCKW3kiuVvIoOsszAsCnP7gnb7ea6M7TK86-uZuS7CGCSIg-SQpFhjLOiJvgmGnEkvi2IKkQZAmP/s320/ad1.png" width="320" /></a></div>
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<iframe class="codetidy" frameborder="0" src="http://codetidy.com/paste/embed/3899" type="text/html" width="100%"></iframe><br />
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y este es su diagrama:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTLwdCCfN2l7lwdsZPEaqG5uNTumwI42yzWN-mApPFQR9WjRZy0BE7UXQY9nNrJEBfhglwgOhpceAtrb9GG3uUOdZDR8d0wZNxKW5fEZtFTpVtFW0jyi_6wFAkDjLUhR2-E6w2oA4Ooeq3/s1600/ad2.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="262" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjTLwdCCfN2l7lwdsZPEaqG5uNTumwI42yzWN-mApPFQR9WjRZy0BE7UXQY9nNrJEBfhglwgOhpceAtrb9GG3uUOdZDR8d0wZNxKW5fEZtFTpVtFW0jyi_6wFAkDjLUhR2-E6w2oA4Ooeq3/s320/ad2.png" width="320" /></a></div>
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Y este es su diagrama:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7oRM8EIgHN23evvXdQSTdjZGXUoKVBAVm3IuAAzlezmO-qy10Pn3IkfIGPcXrxbsumbneeMC-IZA_COvkySqRgAW4F8booIBX8sLGsP6_-QEsICkJcNlqhTsplrs1_ZWTOxkQKQ8j4ip3/s1600/ad3.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="260" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7oRM8EIgHN23evvXdQSTdjZGXUoKVBAVm3IuAAzlezmO-qy10Pn3IkfIGPcXrxbsumbneeMC-IZA_COvkySqRgAW4F8booIBX8sLGsP6_-QEsICkJcNlqhTsplrs1_ZWTOxkQKQ8j4ip3/s320/ad3.png" width="320" /></a></div>
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-74753937888061848052012-10-30T13:45:00.002-07:002012-10-30T13:50:49.524-07:00Tarea 3.En esta entrada se realizaran distintas pruebas a la función de transferencia que se había seleccionado para nuestro problema, para revisar la estabilidad del sistema.<br />
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La función de transferencia es la siguiente:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjI37qdA3xp9p4o7LpFLmUYZVh3zeYC_efHHiFnpOB6s2y7OANuncBW3kwAsS1yjbh1qIEBqRHIFsfQsnAMLy3x1_I9kXttw0aeI5XWmcYuGt_UsGknjHAArnBp4dPDU2Vz5CDIo9mkuVDm/s1600/Screenshot+at+2012-10-30+14:22:01.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjI37qdA3xp9p4o7LpFLmUYZVh3zeYC_efHHiFnpOB6s2y7OANuncBW3kwAsS1yjbh1qIEBqRHIFsfQsnAMLy3x1_I9kXttw0aeI5XWmcYuGt_UsGknjHAArnBp4dPDU2Vz5CDIo9mkuVDm/s1600/Screenshot+at+2012-10-30+14:22:01.png" /></a></div>
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Inicialmente utilice el siguiente código, pero tuve problemas a la hora de graficar.<br />
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Y después de eso utilice esto para la función de transferencia y obtuve las gráficas siguientes:<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhK8Wbv5KuusQvmSroGGUMXcoz4fv0280XH1l-IcL-H_LC6ScCzbq7_nb8I7qH4DNzKRfLW1mGhIQh6hjwJHZXXbLKvStW3TXeqwTTb43gayZrkYdaRrH1MMNfiOTdUUgbRZLcm6yYx9nfw/s1600/1a.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="262" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhK8Wbv5KuusQvmSroGGUMXcoz4fv0280XH1l-IcL-H_LC6ScCzbq7_nb8I7qH4DNzKRfLW1mGhIQh6hjwJHZXXbLKvStW3TXeqwTTb43gayZrkYdaRrH1MMNfiOTdUUgbRZLcm6yYx9nfw/s320/1a.png" width="320" /></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4tNkpVnpZFbxiqWOMIa9b3a_5Nio6TrlRNw2Lj59F6Cj64CviQ5sI50G63LY9huswhQYJ6vtjtzUDKbIW-tqD3Z8zKxkl-Jenlm_bHVzIM70QnQ0cnEecLTxULeH6P88J16gQgW3Zmdni/s1600/1b.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="268" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4tNkpVnpZFbxiqWOMIa9b3a_5Nio6TrlRNw2Lj59F6Cj64CviQ5sI50G63LY9huswhQYJ6vtjtzUDKbIW-tqD3Z8zKxkl-Jenlm_bHVzIM70QnQ0cnEecLTxULeH6P88J16gQgW3Zmdni/s320/1b.png" width="320" /></a></div>
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com3tag:blogger.com,1999:blog-2336320322171561872.post-57801013908201001402012-10-18T14:54:00.000-07:002012-10-18T14:54:18.979-07:00Tarea 4.B.5.8. Se sabe que un sistema oscilatorio tiene la siguiente función de transferencia<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrAuI4wkCvYAiFr3gJUgk1G85o_4XCZPGvrmNHaSGLSBgd8r7bzkg8Rd7pejxJqk5AwSL6LEWKJcowhwa-ET4Vq1xqPIWM5hQxpNlsAOr0OJO1eIcqbahJPTP_nbUBpwXj62jsYC15awjL/s1600/ft.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgrAuI4wkCvYAiFr3gJUgk1G85o_4XCZPGvrmNHaSGLSBgd8r7bzkg8Rd7pejxJqk5AwSL6LEWKJcowhwa-ET4Vq1xqPIWM5hQxpNlsAOr0OJO1eIcqbahJPTP_nbUBpwXj62jsYC15awjL/s1600/ft.jpg" /></a></div>
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Suponga que existe un registro de una oscilación amortiguada, tal como aparece en la Fig.5.82. Determine el factor de amortiguamiento relativo <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2dqGPLiUBe_YUhlcTiXMy7dlkz1S1_HxkGdoLd5d8S6H3QkyXTrunbRX_ICeaA3b-fmUTaMgwrnujvDoTBqlAS3iAX3m6zucaCGHg8wwQKRnLAJ5MA3SWIeBa1vwY_BWpA0f2vwWVsTCx/s1600/ft1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2dqGPLiUBe_YUhlcTiXMy7dlkz1S1_HxkGdoLd5d8S6H3QkyXTrunbRX_ICeaA3b-fmUTaMgwrnujvDoTBqlAS3iAX3m6zucaCGHg8wwQKRnLAJ5MA3SWIeBa1vwY_BWpA0f2vwWVsTCx/s1600/ft1.jpg" /></a>del sistema a partir de la gráfica.</div>
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<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLxywBv0MNqzSkZ3whVuYLeaIXAasf5F-vUXS4JHNLhYY64lmwq-IkDZi-yzPJW3sPi0kThT7d180q3X15ZTygP6G5btmU2oylS2uXJB3h2tZXpvTy-Z_S6EsqZedUmDxflqJxS4uuXaP3/s1600/ft2.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" height="156" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLxywBv0MNqzSkZ3whVuYLeaIXAasf5F-vUXS4JHNLhYY64lmwq-IkDZi-yzPJW3sPi0kThT7d180q3X15ZTygP6G5btmU2oylS2uXJB3h2tZXpvTy-Z_S6EsqZedUmDxflqJxS4uuXaP3/s320/ft2.jpg" width="320" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Fig. 5.82</td></tr>
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Entonces:</div>
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Despues tenemos un decremento logaritmico y obtenemos </div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAqsIHeJZsppIVSHMDq6xxQFgETIC6Y6xwRkh4TlxQreU9bM72AxatuN3t9GmjzQrYzbEWYOX-By8Hr6loeI8Rp3ybgtlvD8wQ0tdBmtUycDTrznb9QEw5WgXcX0wBhuZEmtI-3PgPvBtv/s1600/ft7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiAqsIHeJZsppIVSHMDq6xxQFgETIC6Y6xwRkh4TlxQreU9bM72AxatuN3t9GmjzQrYzbEWYOX-By8Hr6loeI8Rp3ybgtlvD8wQ0tdBmtUycDTrznb9QEw5WgXcX0wBhuZEmtI-3PgPvBtv/s1600/ft7.jpg" /></a></div>
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Y entonces tenemos que<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6XwXtE3AXAvguwdmBSzdTkVPrdqGKZqiKQllHrcgI8edGyrBvDbFuJ49RjNvSgbGYO0OsH_YNcOScsCUxS9xfFBUjsKtRW3c-sGrNT9UUHM5pgE8wwwIrp8VGuxRnFibAVXnHw7Drk8yO/s1600/ft8.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj6XwXtE3AXAvguwdmBSzdTkVPrdqGKZqiKQllHrcgI8edGyrBvDbFuJ49RjNvSgbGYO0OsH_YNcOScsCUxS9xfFBUjsKtRW3c-sGrNT9UUHM5pgE8wwwIrp8VGuxRnFibAVXnHw7Drk8yO/s1600/ft8.jpg" /></a></div>
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-35291083770115707222012-10-09T12:34:00.002-07:002012-10-09T12:36:46.706-07:00Reporte 2.<span style="font-family: Arial, Helvetica, sans-serif;">Diagrama de bloques.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">En esta entrada hablare sobre los diagramas de bloque y como queda aplicado a la funcion de transferencia que anteriormente intente hacer.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Esta es la funcion de transferencia:</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1BpVK1uxbSsU75xtgAYnqS3DqwQzq09cu_m5Eja_E8IfiBUzZB4iJf_bLrek_FlWOO1trxfm_c1fNejgvjFCZoM8WoH_VzIVGMS0KpQ1O2NFjU0aWFbK7aEYCTPndtbT3Jo66oKOAXCLg/s1600/Screenshot+from+2012-10-09+13:02:43.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi1BpVK1uxbSsU75xtgAYnqS3DqwQzq09cu_m5Eja_E8IfiBUzZB4iJf_bLrek_FlWOO1trxfm_c1fNejgvjFCZoM8WoH_VzIVGMS0KpQ1O2NFjU0aWFbK7aEYCTPndtbT3Jo66oKOAXCLg/s1600/Screenshot+from+2012-10-09+13:02:43.png" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Y asi ire construyendo el diagrama</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAdYY0sqZ922AyBQXn0EwJukck4vieyb7AfBQ4DDCl7XpRbyTJe6uwbKhf72etbO1tTgrVWtSF_znBpPHiVH3Yu6W74ZkIQhSyZBqMd3CRRRxW2CHTSHYVkYV8l7nwT0JkXfcvMnW12DZF/s1600/1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="87" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhAdYY0sqZ922AyBQXn0EwJukck4vieyb7AfBQ4DDCl7XpRbyTJe6uwbKhf72etbO1tTgrVWtSF_znBpPHiVH3Yu6W74ZkIQhSyZBqMd3CRRRxW2CHTSHYVkYV8l7nwT0JkXfcvMnW12DZF/s320/1.jpg" width="320" /></span></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7nuvRIbYLFlWldwBXvljfqduFZh4xk1l-PHYqycdKGFTq3KOGMO7eufqJUK3lcKdWN7hw1AaVwftG1SZ_rHB6nzCrkELFIhb-YNTe82CC7QMSulU_4zwm9x8XeIWdMXtaR55VosQzSVSW/s1600/2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="150" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj7nuvRIbYLFlWldwBXvljfqduFZh4xk1l-PHYqycdKGFTq3KOGMO7eufqJUK3lcKdWN7hw1AaVwftG1SZ_rHB6nzCrkELFIhb-YNTe82CC7QMSulU_4zwm9x8XeIWdMXtaR55VosQzSVSW/s320/2.jpg" width="320" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Y este es el diagrama final:</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2EX5nLan5EerlJ8O7VjyPp__BjFRUK3GDnwmYcHuakV8xHSI9F8P6GdMN4wBO1GuLm26lXY_JL2MRNhezmv4pc31B9qPmO8qVMjpVeyaYcfXm9hE0R9FVMEbWUPRdqsRhBWph9H8b7Ref/s1600/3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="143" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2EX5nLan5EerlJ8O7VjyPp__BjFRUK3GDnwmYcHuakV8xHSI9F8P6GdMN4wBO1GuLm26lXY_JL2MRNhezmv4pc31B9qPmO8qVMjpVeyaYcfXm9hE0R9FVMEbWUPRdqsRhBWph9H8b7Ref/s320/3.jpg" width="320" /></span></a></div>
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<span style="font-size: x-small;">Bibliografia:</span></div>
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<ul>
<li><a href="http://es.wikipedia.org/wiki/Diagrama_de_bloques"><span style="font-size: x-small;">Link 1</span></a></li>
<li><span style="font-size: x-small;"><a href="http://es.scribd.com/doc/2634854/MODELOS-MATEMATICOS-DE-SISTEMAS-FISICOS">Link 2</a></span></li>
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-7684555181518715442012-09-20T14:23:00.001-07:002012-09-25T13:38:36.023-07:00Tarea 3 - Laboratorio<span style="font-family: Arial, Helvetica, sans-serif;">Para esta tercera tarea de laboratorio a mi me toco lo siguiente:</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">B.3.24 Utilizando la aproximacion de impedancias, obtenga la funcion de transferencia <i>Eo(s)/E1(s) </i>del circuito con amplificador operacional de la Figura 3.89.</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNG2xXDSztubBRurCsGHoKon52Vn3Sli_IJzudfQ4i_pfb05HHB6WZ1MRtCVTIS7sDBg6dFkdqgVrmQqrLGH2LdArgucqBAG9zYQe6AdE2vsKQl1H790K7OIKvcsrwEUTDp2wvZdSxVowW/s1600/Screenshot+at+2012-09-19+22:06:00.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="238" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNG2xXDSztubBRurCsGHoKon52Vn3Sli_IJzudfQ4i_pfb05HHB6WZ1MRtCVTIS7sDBg6dFkdqgVrmQqrLGH2LdArgucqBAG9zYQe6AdE2vsKQl1H790K7OIKvcsrwEUTDp2wvZdSxVowW/s320/Screenshot+at+2012-09-19+22:06:00.png" width="320" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Y este es el proceso que segui para obtener la funcion de transferencia:</span><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCzlJ71aG1E2yzlhZY3Uwcs4X3O7muQfmfL54yfxBz8fS-fux0Hsmx0Y4I4Ocsc8SquwmMeK2ZIHdaci11JV-UhCNmndOzvhUyy2360LulX1-o4k5Fh0myprktqb3osBO4t-w0LEkyvVkC/s1600/ajua.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCzlJ71aG1E2yzlhZY3Uwcs4X3O7muQfmfL54yfxBz8fS-fux0Hsmx0Y4I4Ocsc8SquwmMeK2ZIHdaci11JV-UhCNmndOzvhUyy2360LulX1-o4k5Fh0myprktqb3osBO4t-w0LEkyvVkC/s320/ajua.jpg" width="167" /></span></a></div>
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la ecuación 1 en la ecuación 2<sub>, </sub>obtenemos<o:p></o:p></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgaERPBZ3VP2ByyDJhf_YkbLiNapvo_TA4sjhKrBEYXwzDX9iweUQTyGq5weRzHPyyIn-1Ag72lcTar6_TY7cw1adpOFudCV3IRGUrvQEmVNjln0MGyzy0_LTdQB6qADvJbQUvdFJI4-J7/s1600/ajua2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhgaERPBZ3VP2ByyDJhf_YkbLiNapvo_TA4sjhKrBEYXwzDX9iweUQTyGq5weRzHPyyIn-1Ag72lcTar6_TY7cw1adpOFudCV3IRGUrvQEmVNjln0MGyzy0_LTdQB6qADvJbQUvdFJI4-J7/s1600/ajua2.jpg" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif; line-height: 115%;">Después sustituimos
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<span style="font-family: Arial, Helvetica, sans-serif; line-height: 115%;">Entonces</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; line-height: 115%;">De las ecuaciones
3 y 4, tenemos<o:p></o:p></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; line-height: 115%;">Entonces</span><br />
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-10640635893619820882012-09-10T14:44:00.002-07:002012-09-11T10:58:22.271-07:00Primer Tarea<span style="clear: right; float: right; font-family: Arial, Helvetica, sans-serif; margin-bottom: 1em; margin-left: 1em;"></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Para esta primer tarea debemos elaborar un modelo matematico que sea aplicable a nuestro proyecto.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<span style="font-family: Arial, Helvetica, sans-serif;">En que consiste nuestro proyecto?</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">Nuestro proyecto consistira en elaborar un estacionamiento giratorio, este ira acomodando en una rueda cada auto tomando en cuenta la cantidad de autos que hay, y la disponibilidad de espacios.</span><br />
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<a href="http://www.fatbraintoys.com/images/products/extralarge/BC024.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="200" src="http://www.fatbraintoys.com/images/products/extralarge/BC024.jpg" width="156" /></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Para llevar acabo esto utilizare un arduino el cual sera el encargado de enviar señales a un motor, y este a su vez se encargara de mover la rueda, para que los carros puedan entrar y salir. Para esto es necesario tomar en cuenta algunas cosas como: las variaciones de Peso, la velocidad con que se movera la rueda cuando acomode los carros, etc..</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">La funcion de transferencia relaciona la respuesta de un sistema a una señal de entrada o exitacion. A menudo se utilizan las funciones de transferencia para caracterizar relaciones de entrada y de salida de componentes.</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"><b>Entradas</b></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Estas son las variables que utilizare para las entradas de mi modelo:</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;">P = potencia</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span>
<span style="font-family: Arial, Helvetica, sans-serif;">Esto es para un sistema mecanico en donde el momento de inercia permanece constante.</span><br />
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<a href="http://upload.wikimedia.org/math/e/6/b/e6bb2cd6ec53272ac5c068afbf0c8cbf.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="http://upload.wikimedia.org/math/e/6/b/e6bb2cd6ec53272ac5c068afbf0c8cbf.png" /></a></div>
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<span style="background-color: white; line-height: 19px; text-align: justify;"><i><span style="font-family: Times, 'Times New Roman', serif;">I </span><span style="font-family: Arial, Helvetica, sans-serif;">= inercia</span></i></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;">ω = velocidad angular</span></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;">∝ = aceleración angular</span><br style="background-color: white; line-height: 19px; text-align: justify;" /><span style="background-color: white; line-height: 19px; text-align: justify;">θ = posición angular</span><br style="background-color: white; line-height: 19px; text-align: justify;" /><span style="background-color: white; line-height: 19px; text-align: justify;">t = tiempo </span></span><br />
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;"><b>Salidas</b></span></span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;">Y estas seran las variables que utilizare como salidas:</span></span><br />
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<span style="background-color: white; font-family: sans-serif; font-size: 13px; font-style: italic; line-height: 19px;">φ=</span><span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;">desplazamiento angular de la rueda </span></span><br />
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<a href="http://genesis.uag.mx/edmedia/material/fisica/mov8.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="176" src="http://genesis.uag.mx/edmedia/material/fisica/mov8.jpg" width="320" /></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; line-height: 19px; text-align: justify;">T= trabajo desarrollado por el motor</span></span><br />
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Referencias<br />
<a href="http://es.wikipedia.org/wiki/Funci%C3%B3n_de_transferencia">http://es.wikipedia.org/wiki/Funci%C3%B3n_de_transferencia</a><br />
<a href="http://es.wikipedia.org/wiki/Potencia_(f%C3%ADsica)">http://es.wikipedia.org/wiki/Potencia_(f%C3%ADsica)</a><br />
<a href="http://www.asifunciona.com/electrotecnia/ke_factor_potencia/ke_factor_potencia_5.htm">http://www.asifunciona.com/electrotecnia/ke_factor_potencia/ke_factor_potencia_5.htm</a><br />
<a href="http://www.youtube.com/watch?v=zONWoTRrEqQ&feature=fvwrel">http://www.youtube.com/watch?v=zONWoTRrEqQ&feature=fvwrel</a><br />
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<br />Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-82764879460225191572012-09-06T15:06:00.002-07:002012-09-06T15:07:34.158-07:00Tarea 2 - Laboratorio<div class="separator" style="clear: both; text-align: left;">
Esta es la ecuacion que me toco para esta semana en el laboratorio:</div>
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A continuación mostrare como la fui resolviendo :)<br />
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Y estos Fueron los resultados</div>
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<br />Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-71767560818896362792012-08-22T21:48:00.004-07:002012-08-22T21:48:59.983-07:00Integral de Cauchy<span style="font-family: Arial, Helvetica, sans-serif;">En esta entrada hablare un poco sobre lo que es la integral de cauchy o integral de contorno cerrado.</span><br />
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<span style="text-align: -webkit-auto;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Teorema Integral de Cauchy</span></span></h2>
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<span style="font-family: Arial, Helvetica, sans-serif;"><u>Teorema de Cauchy</u>: Si f(z) es analitica sobre un contorno cerrado C y su interior, entonces:</span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfeBK1kpdbgVVS7NbOeN7UZjJi564q4XkFu4ZUcVpd5Up5L8_1UC5DYtbgI8KbGO8vPM3pIK0ATdHp-qHLJ0VQi_R4XLNWKN3giXfg9GyTsujpaiisCacoTSaTwOHNvPNOkYihy0bWuQmO/s1600/Screenshot+at+2012-08-22+20:22:42.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhfeBK1kpdbgVVS7NbOeN7UZjJi564q4XkFu4ZUcVpd5Up5L8_1UC5DYtbgI8KbGO8vPM3pIK0ATdHp-qHLJ0VQi_R4XLNWKN3giXfg9GyTsujpaiisCacoTSaTwOHNvPNOkYihy0bWuQmO/s1600/Screenshot+at+2012-08-22+20:22:42.png" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><u>Formula Integral de Cauchy</u>: <span style="background-color: white; line-height: 19px;">Sea ƒ(z) analítica sobre C, siendo C un contorno cerrado simple, y en el interior de C. Si se toma un punto interior "</span><img alt="z_0" class="tex" src="http://upload.wikimedia.org/wikipedia/es/math/9/7/7/977782615e54462c805f44648c6a14cf.png" style="background-color: white; border-bottom-style: none; border-color: initial; border-image: initial; border-left-style: none; border-right-style: none; border-top-style: none; border-width: initial; line-height: 19px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; vertical-align: middle;" /><span style="background-color: white; line-height: 19px;">" de C, se cumple que:</span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi10Ghk5RX5W0YpYAZKTM7ixvqpjiutQC17cI6lZB3b4fgJ3EeCVHFSI4LyGOCgP-EW4h9WdhQRrky46w_NgG-Tq2_EDNT9HMM_L-LqMxHmABkr8vWC9nqZ-0foNB-9MCTH9h_zgDgJZdtB/s1600/Screenshot+at+2012-08-22+23:06:36.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi10Ghk5RX5W0YpYAZKTM7ixvqpjiutQC17cI6lZB3b4fgJ3EeCVHFSI4LyGOCgP-EW4h9WdhQRrky46w_NgG-Tq2_EDNT9HMM_L-LqMxHmABkr8vWC9nqZ-0foNB-9MCTH9h_zgDgJZdtB/s1600/Screenshot+at+2012-08-22+23:06:36.png" /></span></a></div>
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<span style="background-color: white; line-height: 19px;"><span style="font-family: Arial, Helvetica, sans-serif;"><b>Un ejemplo</b>:</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">Sea Γ = {z ∈ C : |z| = 1}, sea f una funci ́n holomorfa en A = {z ∈ C : 0 < |z| < 2} tal que </span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUVZd_qDISCvW84qdtMlqcDugdQeUMbwA3US5TGwPZ_J1bWVEUeku5RUPOR8r-wCi6O2JQFnc4htJl28U-BIiP8kkeHDO42ir6D2T0EwbGW6ppZeL0Vu0X94srBHwFecOgsw5lXh_e3EYa/s1600/uno.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjUVZd_qDISCvW84qdtMlqcDugdQeUMbwA3US5TGwPZ_J1bWVEUeku5RUPOR8r-wCi6O2JQFnc4htJl28U-BIiP8kkeHDO42ir6D2T0EwbGW6ppZeL0Vu0X94srBHwFecOgsw5lXh_e3EYa/s1600/uno.jpg" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">para todo n ≥ 0. Pruebe que z = 0 es una singularidad evitable de f .</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">Solucion:</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">Como f es holomorfa en A = {z ∈ C : 0 < |z| < 2}, entonces f admite una serie de Laurent en torno al cero, </span></span><span style="font-family: Arial, Helvetica, sans-serif; line-height: 19px;">es decir existen (ck )k∈Z tales que:</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis_G6PKvfsQxcQT9N1g1ocBa2vX2lr45eg-MIYY8N4XnDRtjPBGivosnyas7vBGzZ0hjP9I2fjYfeL2Q-kLlNo7eaQh6y9JlOhOIGiMLeC3whDrzsBQjiOyN3LNPQ7IxiagEjfIchcS0jF/s1600/dos.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="96" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEis_G6PKvfsQxcQT9N1g1ocBa2vX2lr45eg-MIYY8N4XnDRtjPBGivosnyas7vBGzZ0hjP9I2fjYfeL2Q-kLlNo7eaQh6y9JlOhOIGiMLeC3whDrzsBQjiOyN3LNPQ7IxiagEjfIchcS0jF/s640/dos.jpg" width="640" /></a></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">luego si k < 0,</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLQkJ9lV-J-8dUTyYbSwvefwGQb9wYs9tQbNGiXyQraY08v2S6ANWyRSbuUb26zWyO93KkC2K5H63Jgl4mehtqOskxN8O_SyiytN5QpB9SroovyeSF3Uo5CwaDgUthCPz8bfU3rz7YQ69_/s1600/tres.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="83" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLQkJ9lV-J-8dUTyYbSwvefwGQb9wYs9tQbNGiXyQraY08v2S6ANWyRSbuUb26zWyO93KkC2K5H63Jgl4mehtqOskxN8O_SyiytN5QpB9SroovyeSF3Uo5CwaDgUthCPz8bfU3rz7YQ69_/s640/tres.jpg" width="640" /></a></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">pero k < 0 implica que −k − 1 ≥ 0 y usando la hip ́tesis se obtiene que</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitJtH8WVbY8nkA-MUGOU3PIA92ACy99o8u7h7X9exlXF-Hc3jzWR4jaNWHCtxzTYV221C6_NYIZH3mdd6BomuBFPS6j91WsPkHcwFSd620sTYwn73VarGdXm0g5nyX_gvU1_0mCL0cRall/s1600/cuatro.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="91" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEitJtH8WVbY8nkA-MUGOU3PIA92ACy99o8u7h7X9exlXF-Hc3jzWR4jaNWHCtxzTYV221C6_NYIZH3mdd6BomuBFPS6j91WsPkHcwFSd620sTYwn73VarGdXm0g5nyX_gvU1_0mCL0cRall/s640/cuatro.jpg" width="640" /></a></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">as ́ ck = 0 para todo k < 0 y</span></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjoaDsRTywAfi9fXBfvw_OSCN3A7ANwhPf3XzirL_2zVvxf8twv1Dr4pYD7Xe1APCqzgW6c-oInw9Y8aPi1UjwvqQpmXPVU-nmYiv1HqCkgF8RpMTahEiv3TNFX3FrmP1NbmSZ89fSKZRy/s1600/cinco.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjjoaDsRTywAfi9fXBfvw_OSCN3A7ANwhPf3XzirL_2zVvxf8twv1Dr4pYD7Xe1APCqzgW6c-oInw9Y8aPi1UjwvqQpmXPVU-nmYiv1HqCkgF8RpMTahEiv3TNFX3FrmP1NbmSZ89fSKZRy/s1600/cinco.jpg" /></a></span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">Asi podemos definir </span></span></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhB7aIUDDy9EpSA-rYVrMTVuFWOGmsuzSgK7GlPgk6miAQHiM3LZthyphenhyphenXW7Wd5zpC5G8ga-xjTY2-BGqD70RTJPC4nLZjmulOdqNQzBIrH4raEp2Oi3I-LBWs4fXXNjOaV0fAPhlTSorQ7Bz/s1600/seis.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><span style="font-family: Arial, Helvetica, sans-serif;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhB7aIUDDy9EpSA-rYVrMTVuFWOGmsuzSgK7GlPgk6miAQHiM3LZthyphenhyphenXW7Wd5zpC5G8ga-xjTY2-BGqD70RTJPC4nLZjmulOdqNQzBIrH4raEp2Oi3I-LBWs4fXXNjOaV0fAPhlTSorQ7Bz/s1600/seis.jpg" /></span></a></div>
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<span style="font-family: Arial, Helvetica, sans-serif;"><span style="line-height: 19px;">es decir, z = 0 es una singularidad evitable de f ,</span></span></div>
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Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com1tag:blogger.com,1999:blog-2336320322171561872.post-51973374431742297122012-08-07T12:42:00.001-07:002012-08-12T19:17:18.628-07:00Hello World!<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRsDQ2kH4kG-fJvDEiMjjFJVSENGGhKRuqthvqmNt1cAKgGvqQWK5AqPE7mmPX-DLF8zRL4928FNKjs8_p3becIPxUwsNqVH7sQi8IzbsdO3ggekZfxH27eNKZz6mg9Tuq0UDFOEamrJ4S/s1600/hola-9.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRsDQ2kH4kG-fJvDEiMjjFJVSENGGhKRuqthvqmNt1cAKgGvqQWK5AqPE7mmPX-DLF8zRL4928FNKjs8_p3becIPxUwsNqVH7sQi8IzbsdO3ggekZfxH27eNKZz6mg9Tuq0UDFOEamrJ4S/s320/hola-9.png" width="320" /></a></div>
<br />Adriana Contrerashttp://www.blogger.com/profile/05852146457528563817noreply@blogger.com0