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Bibliographic Details
Main Author:	J.L. Urrutia Galicia
Format:	Artículo científico
Language:	es
Published:	Universidad Nacional Autónoma de México 2008
Subjects:	Ingeniería vs convergencia método simplex solución exacta rotación de hiperplano
Online Access:	https://www.redalyc.org/articulo.oa?id=40490301
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Programación lineal con espacios covariante y contravariante. Una perspectiva física y matemática J.L. Urrutia Galicia J.C. Alcérreca Huerta M.A. Ordaz Alcántara Ingeniería vs convergencia método simplex solución exacta rotación de hiperplano En este artículo se presenta un método de optimización nuevo y diferente a losutilizados actualmente, como en el "Método Simplex". Se basa en el empleo de los espacios covariante y contravariante, ambos espacios biortogonales entre sí, lo que permite una visualización del problema de optimización tanto física como matemática. El resultado obtenido proporciona la mejor aproximación de acuerdo a los datos concentrados en las restricciones del problema, éstas últimas visualizados como vectores (como un espacio completo o incompleto) y no como rectas, planos o hiperplanos. Asimismo, con este nuevo método se puede cuantificar el error generado entre los vectores aproximación y el objetivo, lo quepermite observar y medir la efectividad de la solución propuesta. 2008 artículo científico 1405-7743 https://www.redalyc.org/articulo.oa?id=40490301 es http://www.redalyc.org/revista.oa?id=404 Ingeniería. Investigación y Tecnología application/pdf Universidad Nacional Autónoma de México Ingeniería. Investigación y Tecnología (México) Num.3 Vol.IX

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// Anecdotal testing Today and Yesterday seems to indicate destroy() // is called by the garbage collector and everything is good. // Something to keep in mind though. return 0; } /** * Write function that is called when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ public function write($sessId, $data): bool { if ($this->writesDisabled) { return true; } return $this->saveSession($sessId, $data); } /** * A function that is called internally when session data is to be saved. * * @param string $sessId The current session ID * @param string $data The session data to write * * @return bool */ abstract protected function saveSession($sessId, $data): bool; }

* * @return void */ public function writeClose() { // The assumption is that we're using PHP's ext/session. // session_write_close() will actually overwrite $_SESSION with an // empty array on completion -- which leads to a mismatch between what // is in the storage object and $_SESSION. To get around this, we // temporarily reset $_SESSION to an array, and then re-link it to // the storage object. // // Additionally, while you _can_ write to $_SESSION following a // session_write_close() operation, no changes made to it will be // flushed to the session handler. As such, we now mark the storage // object isImmutable. $storage = $this->getStorage(); if (! $storage->isImmutable()) { $_SESSION = $storage->toArray(true); session_write_close(); $storage->fromArray($_SESSION); $storage->markImmutable(); } } /** * Attempt to set the session name * * If the session has already been started, or if the name provided fails * validation, an exception will be raised. * * @param string $name * @return SessionManager * @throws Exception\InvalidArgumentException */ public function setName($name) { if ($this->sessionExists()) { throw new Exception\InvalidArgumentException( 'Cannot set session name after a session has already started'

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