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Add undocumented function cbrt to documentation.
author Rik <octave@nomad.inbox5.com>
date Fri, 14 Jan 2011 14:05:15 -0800
parents f98f925d8e5c
children 862a8e490445
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John W. Eaton <jwe@octave.org>
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1 @c Copyright (C) 1996-2011 John W. Eaton
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2 @c
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3 @c This file is part of Octave.
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4 @c
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5 @c Octave is free software; you can redistribute it and/or modify it
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6 @c under the terms of the GNU General Public License as published by the
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7 @c Free Software Foundation; either version 3 of the License, or (at
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8 @c your option) any later version.
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9 @c
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10 @c Octave is distributed in the hope that it will be useful, but WITHOUT
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11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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13 @c for more details.
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14 @c
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15 @c You should have received a copy of the GNU General Public License
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16 @c along with Octave; see the file COPYING. If not, see
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17 @c <http://www.gnu.org/licenses/>.
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18
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19 @node Arithmetic
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20 @chapter Arithmetic
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21
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22 Unless otherwise noted, all of the functions described in this chapter
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23 will work for real and complex scalar, vector, or matrix arguments. Functions
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24 described as @dfn{mapping functions} apply the given operation individually to
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25 each element when given a matrix argument. For example:
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26
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27 @example
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28 @group
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29 sin ([1, 2; 3, 4])
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30 @result{} 0.84147 0.90930
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31 0.14112 -0.75680
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32 @end group
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33 @end example
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34
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35 @menu
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36 * Exponents and Logarithms::
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37 * Complex Arithmetic::
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38 * Trigonometry::
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39 * Sums and Products::
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40 * Utility Functions::
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41 * Special Functions::
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42 * Coordinate Transformations::
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43 * Mathematical Constants::
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44 @end menu
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45
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46 @node Exponents and Logarithms
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47 @section Exponents and Logarithms
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48
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49 @DOCSTRING(exp)
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50
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51 @DOCSTRING(expm1)
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52
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53 @DOCSTRING(log)
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54
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55 @DOCSTRING(reallog)
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56
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57 @DOCSTRING(log1p)
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58
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59 @DOCSTRING(log10)
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60
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61 @DOCSTRING(log2)
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62
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63 @DOCSTRING(pow2)
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64
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65 @DOCSTRING(nextpow2)
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66
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67 @DOCSTRING(realpow)
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68
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69 @DOCSTRING(sqrt)
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70
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71 @DOCSTRING(realsqrt)
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72
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73 @DOCSTRING(cbrt)
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74
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75 @DOCSTRING(nthroot)
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76
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77 @node Complex Arithmetic
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78 @section Complex Arithmetic
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79
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80 In the descriptions of the following functions,
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81 @tex
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82 $z$ is the complex number $x + iy$, where $i$ is defined as
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83 $\sqrt{-1}$.
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84 @end tex
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85 @ifnottex
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86 @var{z} is the complex number @var{x} + @var{i}@var{y}, where @var{i} is
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87 defined as @code{sqrt (-1)}.
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88 @end ifnottex
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89
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90 @DOCSTRING(abs)
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91
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92 @DOCSTRING(arg)
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93
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94 @DOCSTRING(conj)
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95
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96 @DOCSTRING(cplxpair)
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97
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98 @DOCSTRING(imag)
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99
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100 @DOCSTRING(real)
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101
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102 @node Trigonometry
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103 @section Trigonometry
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104
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105 Octave provides the following trigonometric functions where angles are
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106 specified in radians. To convert from degrees to radians multiply by
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107 @tex
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108 $\pi/180$
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109 @end tex
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110 @ifnottex
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111 @code{pi/180}
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112 @end ifnottex
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113 (e.g., @code{sin (30 * pi/180)} returns the sine of 30 degrees). As
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114 an alternative, Octave provides a number of trigonometric functions
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115 which work directly on an argument specified in degrees. These functions
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116 are named after the base trigonometric function with a @samp{d} suffix. For
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117 example, @code{sin} expects an angle in radians while @code{sind} expects an
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118 angle in degrees.
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119
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120 @DOCSTRING(sin)
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121 @DOCSTRING(cos)
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122 @DOCSTRING(tan)
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123 @DOCSTRING(sec)
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124 @DOCSTRING(csc)
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125 @DOCSTRING(cot)
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126
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127 @DOCSTRING(asin)
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128 @DOCSTRING(acos)
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129 @DOCSTRING(atan)
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130 @DOCSTRING(asec)
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131 @DOCSTRING(acsc)
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132 @DOCSTRING(acot)
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133
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134 @DOCSTRING(sinh)
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135 @DOCSTRING(cosh)
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136 @DOCSTRING(tanh)
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137 @DOCSTRING(sech)
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138 @DOCSTRING(csch)
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139 @DOCSTRING(coth)
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140
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141 @DOCSTRING(asinh)
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142 @DOCSTRING(acosh)
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143 @DOCSTRING(atanh)
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144 @DOCSTRING(asech)
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145 @DOCSTRING(acsch)
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146 @DOCSTRING(acoth)
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147
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148 @DOCSTRING(atan2)
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149
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150 Octave provides the following trigonometric functions where angles are
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151 specified in degrees. These functions produce true zeros at the appropriate
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152 intervals rather than the small round-off error that occurs when using
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153 radians. For example:
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154
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155 @example
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156 @group
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157 cosd (90)
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158 @result{} 0
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159 cos (pi/2)
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160 @result{} 6.1230e-17
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161 @end group
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162 @end example
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163
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164 @DOCSTRING(sind)
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165 @DOCSTRING(cosd)
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166 @DOCSTRING(tand)
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167 @DOCSTRING(secd)
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168 @DOCSTRING(cscd)
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169 @DOCSTRING(cotd)
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170
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171 @DOCSTRING(asind)
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172 @DOCSTRING(acosd)
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173 @DOCSTRING(atand)
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174 @DOCSTRING(asecd)
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175 @DOCSTRING(acscd)
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176 @DOCSTRING(acotd)
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177
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178 @node Sums and Products
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179 @section Sums and Products
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180
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181 @DOCSTRING(sum)
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182
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183 @DOCSTRING(prod)
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184
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185 @DOCSTRING(cumsum)
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186
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187 @DOCSTRING(cumprod)
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188
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189 @DOCSTRING(sumsq)
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190
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191 @DOCSTRING(accumarray)
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192
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193 @node Utility Functions
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194 @section Utility Functions
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195
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196 @DOCSTRING(ceil)
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197
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198 @DOCSTRING(curl)
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199
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200 @DOCSTRING(cross)
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201
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202 @DOCSTRING(del2)
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203
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204 @DOCSTRING(divergence)
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205
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206 @DOCSTRING(factor)
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207
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208 @DOCSTRING(factorial)
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209
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210 @DOCSTRING(fix)
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211
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212 @DOCSTRING(floor)
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213
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214 @DOCSTRING(fmod)
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215
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216 @DOCSTRING(gcd)
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217
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218 @DOCSTRING(gradient)
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219
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220 @DOCSTRING(hypot)
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221
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222 @DOCSTRING(lcm)
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223
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224 @DOCSTRING(list_primes)
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225
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226 @DOCSTRING(max)
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227
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228 @DOCSTRING(min)
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229
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230 @DOCSTRING(cummax)
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231
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232 @DOCSTRING(cummin)
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233
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234 @DOCSTRING(mod)
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235
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236 @DOCSTRING(primes)
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237
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238 @DOCSTRING(rem)
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239
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240 @DOCSTRING(round)
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241
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242 @DOCSTRING(roundb)
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243
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244 @DOCSTRING(sign)
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245
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246 @node Special Functions
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247 @section Special Functions
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248
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249 @DOCSTRING(airy)
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250
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251 @DOCSTRING(besselj)
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252
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253 @DOCSTRING(beta)
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254
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255 @DOCSTRING(betainc)
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256
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257 @DOCSTRING(betaln)
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258
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259 @DOCSTRING(bincoeff)
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260
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261 @DOCSTRING(commutation_matrix)
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262
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263 @DOCSTRING(duplication_matrix)
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264
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265 @DOCSTRING(erf)
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266
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267 @DOCSTRING(erfc)
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268
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269 @DOCSTRING(erfcx)
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270
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271 @DOCSTRING(erfinv)
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272
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273 @DOCSTRING(gamma)
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274
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275 @DOCSTRING(gammainc)
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276
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277 @DOCSTRING(legendre)
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278
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279 @anchor{doc-gammaln}
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280 @DOCSTRING(lgamma)
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281
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282 @node Coordinate Transformations
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283 @section Coordinate Transformations
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284
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285 @DOCSTRING(cart2pol)
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286
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287 @DOCSTRING(pol2cart)
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288
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289 @DOCSTRING(cart2sph)
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290
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291 @DOCSTRING(sph2cart)
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292
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293 @node Mathematical Constants
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294 @section Mathematical Constants
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295
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296 @DOCSTRING(e)
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297
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298 @DOCSTRING(pi)
ad20b967e1c9 Update section 17.3 (Trigonometry) of arith.txi
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299
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300 @DOCSTRING(I)
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301
6923abb04e16 [project @ 1999-10-26 18:15:30 by jwe]
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302 @DOCSTRING(Inf)
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303
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304 @DOCSTRING(NaN)
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305
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306 @DOCSTRING(eps)
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307
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308 @DOCSTRING(realmax)
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309
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310 @DOCSTRING(realmin)