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  21.                                     API Documentation <b class="caret"></b></a><ul class="dropdown-menu">
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  22. <li><a>Packages</a></li>
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  23. <li><a href="../packages/Default.html"><i class="icon-folder-open"></i> Default</a></li>
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  24. <li><a href="../packages/JAMA.html"><i class="icon-folder-open"></i> JAMA</a></li>
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  25. <li><a href="../packages/JAMA%0D%0ACholesky%20decomposition%20class%0D%0AFor%20a%20symmetric,%20positive%20definite%20matrix%20A,%20the%20Cholesky%20decomposition%0D%0Ais%20an%20lower%20triangular%20matrix%20L%20so%20that%20A%20=%20L*L'.html"><i class="icon-folder-open"></i> JAMA

    26. 

  26. Cholesky decomposition class

    27. 

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

    28. 

  28. is an lower triangular matrix L so that A = L*L'</a></li>
    29. 

  29. <li><a href="../packages/JAMA%0D%0AClass%20to%20obtain%20eigenvalues%20and%20eigenvectors%20of%20a%20real%20matrix.html"><i class="icon-folder-open"></i> JAMA

    30. 

  30. Class to obtain eigenvalues and eigenvectors of a real matrix</a></li>
    31. 

  31. <li><a href="../packages/JAMA%0D%0AError%20handling.html"><i class="icon-folder-open"></i> JAMA

    32. 

  32. Error handling</a></li>
    33. 

  33. <li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20LU%20decomposition%20is%20an%20m-by-n%0D%0Aunit%20lower%20triangular%20matrix%20L,%20an%20n-by-n%20upper%20triangular%20matrix%20U,%0D%0Aand%20a%20permutation%20vector%20piv%20of%20length%20m%20so%20that%20A(piv,:)%20=%20L*U.html"><i class="icon-folder-open"></i> JAMA

    34. 

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

    35. 

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

    36. 

  36. and a permutation vector piv of length m so that A(piv,:) = L*U</a></li>
    37. 

  37. <li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20QR%20decomposition%20is%20an%20m-by-n%0D%0Aorthogonal%20matrix%20Q%20and%20an%20n-by-n%20upper%20triangular%20matrix%20R%20so%20that%0D%0AA%20=%20Q*R.html"><i class="icon-folder-open"></i> JAMA

    38. 

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

    39. 

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

    40. 

  40. A = Q*R</a></li>
    41. 

  41. <li><a href="../packages/JAMA%0D%0AFor%20an%20m-by-n%20matrix%20A%20with%20m%20&gt;=%20n,%20the%20singular%20value%20decomposition%20is%0D%0Aan%20m-by-n%20orthogonal%20matrix%20U,%20an%20n-by-n%20diagonal%20matrix%20S,%20and%0D%0Aan%20n-by-n%20orthogonal%20matrix%20V%20so%20that%20A%20=%20U*S*V'.html"><i class="icon-folder-open"></i> JAMA

    42. 

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

    43. 

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

    44. 

  44. an n-by-n orthogonal matrix V so that A = U*S*V'</a></li>
    45. 

  45. <li><a href="../packages/JAMA%0D%0APythagorean%20Theorem:%0D%0Aa%20=%203%0D%0Ab%20=%204%0D%0Ar%20=%20sqrt(square(a)%20+%20square(b))%0D%0Ar%20=%205%0D%0Ar%20=%20sqrt(a%5E2%20+%20b%5E2)%20without%20under.overflow.html"><i class="icon-folder-open"></i> JAMA

    46. 

  46. Pythagorean Theorem:

    47. 

  47. a = 3

    48. 

  48. b = 4

    49. 

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

    50. 

  50. r = 5

    51. 

  51. r = sqrt(a^2 + b^2) without under/overflow</a></li>
    52. 

  52. <li><a href="../packages/PHPExcel.html"><i class="icon-folder-open"></i> PHPExcel</a></li>
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  53. </ul>
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  54. </li>
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  55. <li class="dropdown" id="charts-menu">
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  56. <a href="#charts" class="dropdown-toggle" data-toggle="dropdown">
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  57.                                     Charts <b class="caret"></b></a><ul class="dropdown-menu"><li><a href="../graph_class.html"><i class="icon-list-alt"></i> Class hierarchy diagram</a></li></ul>
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  63.                 <span class="label label-info">519</span></a></li>
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  66. <li>todo 
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  67.                 <span class="label label-info">19</span>
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  69. <li>fixme 
    70. 

  70.                 <span class="label label-info">10</span>
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  72. </ul></a></li>
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  73. <li><a href="../deprecated.html"><i class="icon-stop"></i> Deprecated elements 
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  74.                 <span class="label label-info">12</span></a></li>
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  83.                             Javascript is disabled; several features are only available
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  84.                             if Javascript is enabled.
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  89. <button class="btn details" title="Show descriptions and method names"><i class="icon-list"></i></button><button class="btn simple" title="Show only method names"><i class="icon-align-justify"></i></button>
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  95. <a href="../packages/PHPExcel.Style.html" title="Style"><i class="icon-folder-open"></i>Style</a><ul class="nav nav-list nav-packages"></ul>
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  98. <i class="icon-custom icon-class"></i> Classes</li>
    99. 

  99. <li><a href="#PHPExcel_Style_Alignment" title="PHPExcel_Style_Alignment">PHPExcel_Style_Alignment</a></li>
    100. 

  100. <li><a href="#PHPExcel_Style_Border" title="PHPExcel_Style_Border">PHPExcel_Style_Border</a></li>
    101. 

  101. <li><a href="#PHPExcel_Style_Borders" title="PHPExcel_Style_Borders">PHPExcel_Style_Borders</a></li>
    102. 

  102. <li><a href="#PHPExcel_Style_Color" title="PHPExcel_Style_Color">PHPExcel_Style_Color</a></li>
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  103. <li><a href="#PHPExcel_Style_Conditional" title="PHPExcel_Style_Conditional">PHPExcel_Style_Conditional</a></li>
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  104. <li><a href="#PHPExcel_Style_Fill" title="PHPExcel_Style_Fill">PHPExcel_Style_Fill</a></li>
    105. 

  105. <li><a href="#PHPExcel_Style_Font" title="PHPExcel_Style_Font">PHPExcel_Style_Font</a></li>
    106. 

  106. <li><a href="#PHPExcel_Style_NumberFormat" title="PHPExcel_Style_NumberFormat">PHPExcel_Style_NumberFormat</a></li>
    107. 

  107. <li><a href="#PHPExcel_Style_Protection" title="PHPExcel_Style_Protection">PHPExcel_Style_Protection</a></li>
    108. 

  108. <li><a href="#PHPExcel_Style_Supervisor" title="PHPExcel_Style_Supervisor">PHPExcel_Style_Supervisor</a></li>
    109. 

  109. <li><a href="#PHPExcel_Style" title="PHPExcel_Style">PHPExcel_Style</a></li>
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  114. <a href="../index.html"><i class="icon-folder-open"></i></a><span class="divider">\</span><li><a href="../packages/PHPExcel.html">PHPExcel</a></li>
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  115. <li class="active">
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  116. <span class="divider">\</span><a href="../packages/PHPExcel.Style.html">Style</a>
    117. 

  117. </li>
    118. 

  118. </li></ul>
    119. 

  119. <div class="package-indent">
    120. 

  120. <h3>
    121. 

  121. <i class="icon-custom icon-class"></i> Classes and interfaces</h3>
    122. 

  122. <div id="PHPExcel_Style" class="element ajax clickable class">
    123. 

  123. <h1>PHPExcel_Style<a href="../classes/PHPExcel_Style.html"></a>
    124. 

  124. </h1>
    125. 

  125. <p class="short_description">PHPExcel_Style</p>
    126. 

  126. <div class="details collapse"></div>
    127. 

  127. <a href="../classes/PHPExcel_Style.html" class="more">« More »</a>
    128. 

  128. </div>
    129. 

  129. <div id="PHPExcel_Style_Alignment" class="element ajax clickable class">
    130. 

  130. <h1>PHPExcel_Style_Alignment<a href="../classes/PHPExcel_Style_Alignment.html"></a>
    131. 

  131. </h1>
    132. 

  132. <p class="short_description">PHPExcel_Style_Alignment</p>
    133. 

  133. <div class="details collapse"></div>
    134. 

  134. <a href="../classes/PHPExcel_Style_Alignment.html" class="more">« More »</a>
    135. 

  135. </div>
    136. 

  136. <div id="PHPExcel_Style_Border" class="element ajax clickable class">
    137. 

  137. <h1>PHPExcel_Style_Border<a href="../classes/PHPExcel_Style_Border.html"></a>
    138. 

  138. </h1>
    139. 

  139. <p class="short_description">PHPExcel_Style_Border</p>
    140. 

  140. <div class="details collapse"></div>
    141. 

  141. <a href="../classes/PHPExcel_Style_Border.html" class="more">« More »</a>
    142. 

  142. </div>
    143. 

  143. <div id="PHPExcel_Style_Borders" class="element ajax clickable class">
    144. 

  144. <h1>PHPExcel_Style_Borders<a href="../classes/PHPExcel_Style_Borders.html"></a>
    145. 

  145. </h1>
    146. 

  146. <p class="short_description">PHPExcel_Style_Borders</p>
    147. 

  147. <div class="details collapse"></div>
    148. 

  148. <a href="../classes/PHPExcel_Style_Borders.html" class="more">« More »</a>
    149. 

  149. </div>
    150. 

  150. <div id="PHPExcel_Style_Color" class="element ajax clickable class">
    151. 

  151. <h1>PHPExcel_Style_Color<a href="../classes/PHPExcel_Style_Color.html"></a>
    152. 

  152. </h1>
    153. 

  153. <p class="short_description">PHPExcel_Style_Color</p>
    154. 

  154. <div class="details collapse"></div>
    155. 

  155. <a href="../classes/PHPExcel_Style_Color.html" class="more">« More »</a>
    156. 

  156. </div>
    157. 

  157. <div id="PHPExcel_Style_Conditional" class="element ajax clickable class">
    158. 

  158. <h1>PHPExcel_Style_Conditional<a href="../classes/PHPExcel_Style_Conditional.html"></a>
    159. 

  159. </h1>
    160. 

  160. <p class="short_description">PHPExcel_Style_Conditional</p>
    161. 

  161. <div class="details collapse"></div>
    162. 

  162. <a href="../classes/PHPExcel_Style_Conditional.html" class="more">« More »</a>
    163. 

  163. </div>
    164. 

  164. <div id="PHPExcel_Style_Fill" class="element ajax clickable class">
    165. 

  165. <h1>PHPExcel_Style_Fill<a href="../classes/PHPExcel_Style_Fill.html"></a>
    166. 

  166. </h1>
    167. 

  167. <p class="short_description">PHPExcel_Style_Fill</p>
    168. 

  168. <div class="details collapse"></div>
    169. 

  169. <a href="../classes/PHPExcel_Style_Fill.html" class="more">« More »</a>
    170. 

  170. </div>
    171. 

  171. <div id="PHPExcel_Style_Font" class="element ajax clickable class">
    172. 

  172. <h1>PHPExcel_Style_Font<a href="../classes/PHPExcel_Style_Font.html"></a>
    173. 

  173. </h1>
    174. 

  174. <p class="short_description">PHPExcel_Style_Font</p>
    175. 

  175. <div class="details collapse"></div>
    176. 

  176. <a href="../classes/PHPExcel_Style_Font.html" class="more">« More »</a>
    177. 

  177. </div>
    178. 

  178. <div id="PHPExcel_Style_NumberFormat" class="element ajax clickable class">
    179. 

  179. <h1>PHPExcel_Style_NumberFormat<a href="../classes/PHPExcel_Style_NumberFormat.html"></a>
    180. 

  180. </h1>
    181. 

  181. <p class="short_description">PHPExcel_Style_NumberFormat</p>
    182. 

  182. <div class="details collapse"></div>
    183. 

  183. <a href="../classes/PHPExcel_Style_NumberFormat.html" class="more">« More »</a>
    184. 

  184. </div>
    185. 

  185. <div id="PHPExcel_Style_Protection" class="element ajax clickable class">
    186. 

  186. <h1>PHPExcel_Style_Protection<a href="../classes/PHPExcel_Style_Protection.html"></a>
    187. 

  187. </h1>
    188. 

  188. <p class="short_description">PHPExcel_Style_Protection</p>
    189. 

  189. <div class="details collapse"></div>
    190. 

  190. <a href="../classes/PHPExcel_Style_Protection.html" class="more">« More »</a>
    191. 

  191. </div>
    192. 

  192. <div id="PHPExcel_Style_Supervisor" class="element ajax clickable class">
    193. 

  193. <h1>PHPExcel_Style_Supervisor<a href="../classes/PHPExcel_Style_Supervisor.html"></a>
    194. 

  194. </h1>
    195. 

  195. <p class="short_description">PHPExcel_Style_Supervisor</p>
    196. 

  196. <div class="details collapse"></div>
    197. 

  197. <a href="../classes/PHPExcel_Style_Supervisor.html" class="more">« More »</a>
    198. 

  198. </div>
    199. 

  199. </div>
    200. 

  200. </div>
    201. 

  201. </div>
    202. 

  202. <div class="row"><footer class="span12">
    203. 

  203.             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>
    204. 

  204.             Documentation is powered by <a href="http://www.phpdoc.org/">phpDocumentor 2.0.0a12</a> and<br>
    205. 

  205.             generated on 2013-06-02T15:42:46+01:00.<br></footer></div>
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