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  26. Cholesky decomposition class

  27. For a symmetric, positive definite matrix A, the Cholesky decomposition

  28. is an lower triangular matrix L so that A = L*L'</a></li>

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  30. Class to obtain eigenvalues and eigenvectors of a real matrix</a></li>

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  34. For an m-by-n matrix A with m &gt;= n, the LU decomposition is an m-by-n

  35. unit lower triangular matrix L, an n-by-n upper triangular matrix U,

  36. and a permutation vector piv of length m so that A(piv,:) = L*U</a></li>

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  38. For an m-by-n matrix A with m &gt;= n, the QR decomposition is an m-by-n

  39. orthogonal matrix Q and an n-by-n upper triangular matrix R so that

  40. A = Q*R</a></li>

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  42. For an m-by-n matrix A with m &gt;= n, the singular value decomposition is

  43. an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and

  44. an n-by-n orthogonal matrix V so that A = U*S*V'</a></li>

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  46. Pythagorean Theorem:

  47. a = 3

  48. b = 4

  49. r = sqrt(square(a) + square(b))

  50. r = 5

  51. r = sqrt(a^2 + b^2) without under/overflow</a></li>

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  84.                             if Javascript is enabled.

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  88. <span class="btn-group visibility" data-toggle="buttons-checkbox"><button class="btn public active" title="Show public elements">Public</button><button class="btn protected" title="Show protected elements">Protected</button><button class="btn private" title="Show private elements">Private</button><button class="btn inherited active" title="Show inherited elements">Inherited</button></span><div class="btn-group view pull-right" data-toggle="buttons-radio">

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  91. <ul class="side-nav nav nav-list">

  92. <li class="nav-header">

  93. <i class="icon-custom icon-method"></i> Methods

  94.                     <ul>

  95. <li class="method public "><a href="#method_register" title="register :: Register wrapper"><span class="description">Register wrapper</span><pre>register()</pre></a></li>

  96. <li class="method public "><a href="#method_statName" title="statName :: Implements support for fstat()."><span class="description">Implements support for fstat().</span><pre>statName()</pre></a></li>

  97. <li class="method public "><a href="#method_stream_eof" title="stream_eof :: EOF stream"><span class="description">EOF stream</span><pre>stream_eof()</pre></a></li>

  98. <li class="method public "><a href="#method_stream_open" title="stream_open :: Implements support for fopen()."><span class="description">Implements support for fopen().</span><pre>stream_open()</pre></a></li>

  99. <li class="method public "><a href="#method_stream_read" title="stream_read :: Implements support for fread(), fgets() etc."><span class="description">Implements support for fread(), fgets() etc.</span><pre>stream_read()</pre></a></li>

  100. <li class="method public "><a href="#method_stream_seek" title="stream_seek :: Seek stream"><span class="description">Seek stream</span><pre>stream_seek()</pre></a></li>

  101. <li class="method public "><a href="#method_stream_stat" title="stream_stat :: Implements support for fstat()."><span class="description">Implements support for fstat().</span><pre>stream_stat()</pre></a></li>

  102. <li class="method public "><a href="#method_stream_tell" title="stream_tell :: Returns the position of the file pointer, i.e."><span class="description">Returns the position of the file pointer, i.e.</span><pre>stream_tell()</pre></a></li>

  103. <li class="method public "><a href="#method_url_stat" title="url_stat :: Implements support for fstat()."><span class="description">Implements support for fstat().</span><pre>url_stat()</pre></a></li>

  104. </ul>

  105. </li>

  106. <li class="nav-header">

  107. <i class="icon-custom icon-property"></i> Properties

  108.                     <ul></ul>

  109. </li>

  110. <li class="nav-header private">» Private

  111.                     <ul>

  112. <li class="property private "><a href="#property__archive" title="$_archive :: Internal ZipAcrhive"><span class="description"></span><pre>$_archive</pre></a></li>

  113. <li class="property private "><a href="#property__data" title="$_data :: Data"><span class="description"></span><pre>$_data</pre></a></li>

  114. <li class="property private "><a href="#property__fileNameInArchive" title="$_fileNameInArchive :: Filename in ZipAcrhive"><span class="description"></span><pre>$_fileNameInArchive</pre></a></li>

  115. <li class="property private "><a href="#property__position" title="$_position :: Position in file"><span class="description"></span><pre>$_position</pre></a></li>

  116. </ul>

  117. </li>

  118. </ul>

  119. </div>

  120. <div class="span8">

  121. <a id="\PHPExcel_Shared_ZipStreamWrapper"></a><ul class="breadcrumb">

  122. <li>

  123. <a href="../index.html"><i class="icon-custom icon-class"></i></a><span class="divider">\</span>

  124. </li>

  125. <li><a href="../namespaces/global.html">global</a></li>

  126. <li class="active">

  127. <span class="divider">\</span><a href="../classes/PHPExcel_Shared_ZipStreamWrapper.html">PHPExcel_Shared_ZipStreamWrapper</a>

  128. </li>

  129. </ul>

  130. <div class="element class">

  131. <p class="short_description">PHPExcel_Shared_ZipStreamWrapper</p>

  132. <div class="details">

  133. <div class="long_description"></div>

  134. <table class="table table-bordered">

  135. <tr>

  136. <th>category</th>

  137. <td>PHPExcel</td>

  138. </tr>

  139. <tr>

  140. <th>package</th>

  141. <td><a href="../packages/PHPExcel.Shared.html">PHPExcel_Shared</a></td>

  142. </tr>

  143. <tr>

  144. <th>copyright</th>

  145. <td>Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)</td>

  146. </tr>

  147. </table>

  148. <h3>

  149. <i class="icon-custom icon-method"></i> Methods</h3>

  150. <a id="method_register"></a><div class="element clickable method public method_register" data-toggle="collapse" data-target=".method_register .collapse">

  151. <h2>Register wrapper</h2>

  152. <pre>register() </pre>

  153. <div class="labels"><span class="label">Static</span></div>

  154. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  155. </div>

  156. <a id="method_statName"></a><div class="element clickable method public method_statName" data-toggle="collapse" data-target=".method_statName .collapse">

  157. <h2>Implements support for fstat().</h2>

  158. <pre>statName() : boolean</pre>

  159. <div class="labels"></div>

  160. <div class="row collapse"><div class="detail-description">

  161. <div class="long_description"></div>

  162. <h3>Returns</h3>

  163. <div class="subelement response"><code>boolean</code></div>

  164. </div></div>

  165. </div>

  166. <a id="method_stream_eof"></a><div class="element clickable method public method_stream_eof" data-toggle="collapse" data-target=".method_stream_eof .collapse">

  167. <h2>EOF stream</h2>

  168. <pre>stream_eof() : bool</pre>

  169. <div class="labels"></div>

  170. <div class="row collapse"><div class="detail-description">

  171. <div class="long_description"></div>

  172. <h3>Returns</h3>

  173. <div class="subelement response"><code>bool</code></div>

  174. </div></div>

  175. </div>

  176. <a id="method_stream_open"></a><div class="element clickable method public method_stream_open" data-toggle="collapse" data-target=".method_stream_open .collapse">

  177. <h2>Implements support for fopen().</h2>

  178. <pre>stream_open(string $path, string $mode, int $options, string $opened_path) : bool</pre>

  179. <div class="labels"></div>

  180. <div class="row collapse"><div class="detail-description">

  181. <div class="long_description"></div>

  182. <h3>Parameters</h3>

  183. <div class="subelement argument">

  184. <h4>$path</h4>

  185. <code>string</code><p>resource name including scheme, e.g.</p></div>

  186. <div class="subelement argument">

  187. <h4>$mode</h4>

  188. <code>string</code><p>only "r" is supported</p>

  189. </div>

  190. <div class="subelement argument">

  191. <h4>$options</h4>

  192. <code>int</code><p>mask of STREAM_REPORT_ERRORS and STREAM_USE_PATH</p></div>

  193. <div class="subelement argument">

  194. <h4>$opened_path</h4>

  195. <code>string</code><p>&$openedPath    absolute path of the opened stream (out parameter)</p>

  196. </div>

  197. <h3>Returns</h3>

  198. <div class="subelement response">

  199. <code>bool</code>true on success</div>

  200. </div></div>

  201. </div>

  202. <a id="method_stream_read"></a><div class="element clickable method public method_stream_read" data-toggle="collapse" data-target=".method_stream_read .collapse">

  203. <h2>Implements support for fread(), fgets() etc.</h2>

  204. <pre>stream_read(int $count) : string</pre>

  205. <div class="labels"></div>

  206. <div class="row collapse"><div class="detail-description">

  207. <div class="long_description"></div>

  208. <h3>Parameters</h3>

  209. <div class="subelement argument">

  210. <h4>$count</h4>

  211. <code>int</code><p>maximum number of bytes to read</p></div>

  212. <h3>Returns</h3>

  213. <div class="subelement response"><code>string</code></div>

  214. </div></div>

  215. </div>

  216. <a id="method_stream_seek"></a><div class="element clickable method public method_stream_seek" data-toggle="collapse" data-target=".method_stream_seek .collapse">

  217. <h2>Seek stream</h2>

  218. <pre>stream_seek(int $offset, int $whence) : bool</pre>

  219. <div class="labels"></div>

  220. <div class="row collapse"><div class="detail-description">

  221. <div class="long_description"></div>

  222. <h3>Parameters</h3>

  223. <div class="subelement argument">

  224. <h4>$offset</h4>

  225. <code>int</code><p>byte offset</p></div>

  226. <div class="subelement argument">

  227. <h4>$whence</h4>

  228. <code>int</code><p>SEEK_SET, SEEK_CUR or SEEK_END</p></div>

  229. <h3>Returns</h3>

  230. <div class="subelement response"><code>bool</code></div>

  231. </div></div>

  232. </div>

  233. <a id="method_stream_stat"></a><div class="element clickable method public method_stream_stat" data-toggle="collapse" data-target=".method_stream_stat .collapse">

  234. <h2>Implements support for fstat().</h2>

  235. <pre>stream_stat() : boolean</pre>

  236. <div class="labels"></div>

  237. <div class="row collapse"><div class="detail-description">

  238. <div class="long_description"></div>

  239. <h3>Returns</h3>

  240. <div class="subelement response"><code>boolean</code></div>

  241. </div></div>

  242. </div>

  243. <a id="method_stream_tell"></a><div class="element clickable method public method_stream_tell" data-toggle="collapse" data-target=".method_stream_tell .collapse">

  244. <h2>Returns the position of the file pointer, i.e.</h2>

  245. <pre>stream_tell() : int</pre>

  246. <div class="labels"></div>

  247. <div class="row collapse"><div class="detail-description">

  248. <div class="long_description"><p>its offset into the file

  249. stream. Implements support for ftell().</p></div>

  250. <h3>Returns</h3>

  251. <div class="subelement response"><code>int</code></div>

  252. </div></div>

  253. </div>

  254. <a id="method_url_stat"></a><div class="element clickable method public method_url_stat" data-toggle="collapse" data-target=".method_url_stat .collapse">

  255. <h2>Implements support for fstat().</h2>

  256. <pre>url_stat() : boolean</pre>

  257. <div class="labels"></div>

  258. <div class="row collapse"><div class="detail-description">

  259. <div class="long_description"></div>

  260. <h3>Returns</h3>

  261. <div class="subelement response"><code>boolean</code></div>

  262. </div></div>

  263. </div>

  264. <h3>

  265. <i class="icon-custom icon-property"></i> Properties</h3>

  266. <a id="property__archive"> </a><div class="element clickable property private property__archive" data-toggle="collapse" data-target=".property__archive .collapse">

  267. <h2></h2>

  268. <pre>$_archive : \ZipAcrhive</pre>

  269. <div class="labels"></div>

  270. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  271. </div>

  272. <a id="property__data"> </a><div class="element clickable property private property__data" data-toggle="collapse" data-target=".property__data .collapse">

  273. <h2></h2>

  274. <pre>$_data : mixed</pre>

  275. <div class="labels"></div>

  276. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  277. </div>

  278. <a id="property__fileNameInArchive"> </a><div class="element clickable property private property__fileNameInArchive" data-toggle="collapse" data-target=".property__fileNameInArchive .collapse">

  279. <h2></h2>

  280. <pre>$_fileNameInArchive : string</pre>

  281. <div class="labels"></div>

  282. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  283. </div>

  284. <a id="property__position"> </a><div class="element clickable property private property__position" data-toggle="collapse" data-target=".property__position .collapse">

  285. <h2></h2>

  286. <pre>$_position : int</pre>

  287. <div class="labels"></div>

  288. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  289. </div>

  290. </div>

  291. </div>

  292. </div>

  293. </div>

  294. <div class="row"><footer class="span12">

  295.             Template is built using <a href="http://twitter.github.com/bootstrap/">Twitter Bootstrap 2</a> and icons provided by <a href="http://glyphicons.com/">Glyphicons</a>.<br>

  296.             Documentation is powered by <a href="http://www.phpdoc.org/">phpDocumentor 2.0.0a12</a> and<br>

  297.             generated on 2014-03-02T15:27:37Z.<br></footer></div>

  298. </div>

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