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of data. The data can be in a simple numerical array, or in a 
cummulative numerical array. A cummulative array, has the value
as the index and the number of repeats as the value for the
array item, e.g. $data = array(3=&gt;4, 2.3=&gt;5, 1.25=&gt;6, 0.5=&gt;3).
Nulls can be rejected, ignored or handled as zero values.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:18:"/rest/r/math_stats";}}}s:1:"a";a:1:{s:1:"r";a:10:{i:0;a:2:{s:1:"v";s:5:"0.9.1";s:1:"s";s:4:"beta";}i:1;a:2:{s:1:"v";s:5:"0.9.0";s:1:"s";s:4:"beta";}i:2;a:2:{s:1:"v";s:10:"0.9.0beta3";s:1:"s";s:4:"beta";}i:3;a:2:{s:1:"v";s:10:"0.9.0beta2";s:1:"s";s:4:"beta";}i:4;a:2:{s:1:"v";s:10:"0.9.0beta1";s:1:"s";s:4:"beta";}i:5;a:2:{s:1:"v";s:5:"0.8.5";s:1:"s";s:6:"stable";}i:6;a:2:{s:1:"v";s:5:"0.8.4";s:1:"s";s:6:"stable";}i:7;a:2:{s:1:"v";s:5:"0.8.3";s:1:"s";s:4:"beta";}i:8;a:2:{s:1:"v";s:5:"0.8.1";s:1:"s";s:4:"beta";}i:9;a:2:{s:1:"v";s:5:"0.8.0";s:1:"s";s:4:"beta";}}}s:4:"deps";a:10:{i:0;a:2:{s:1:"v";s:5:"0.8.0";s:1:"d";s:4:"b:0;";}i:1;a:2:{s:1:"v";s:5:"0.8.1";s:1:"d";s:4:"b:0;";}i:2;a:2:{s:1:"v";s:5:"0.8.3";s:1:"d";s:4:"b:0;";}i:3;a:2:{s:1:"v";s:5:"0.8.4";s:1:"d";s:4:"b:0;";}i:4;a:2:{s:1:"v";s:5:"0.8.5";s:1:"d";s:4:"b:0;";}i:5;a:2:{s:1:"v";s:5:"0.9.0";s:1:"d";s:114:"a:1:{s:8:"required";a:2:{s:3:"php";a:1:{s:3:"min";s:3:"4.2";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}}}";}i:6;a:2:{s:1:"v";s:10:"0.9.0beta1";s:1:"d";s:4:"b:0;";}i:7;a:2:{s:1:"v";s:10:"0.9.0beta2";s:1:"d";s:4:"b:0;";}i:8;a:2:{s:1:"v";s:10:"0.9.0beta3";s:1:"d";s:4:"b:0;";}i:9;a:2:{s:1:"v";s:5:"0.9.1";s:1:"d";s:114:"a:1:{s:8:"required";a:2:{s:3:"php";a:1:{s:3:"min";s:3:"4.2";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}}}";}}}i:3;a:3:{s:1:"p";a:7:{s:1:"n";s:14:"Math_Histogram";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:3:"PHP";s:1:"s";s:44:"Classes to calculate histogram distributions";s:1:"d";s:234:"Classes to calculate histogram distributions and associated
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   You can generate regular (2D) histograms, 3D, or 4D histograms
   Data must not have nulls.
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trigonometric, hyperbolic, inverse hyperbolic, exponential and
logarithms of complex numbers.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:20:"/rest/r/math_complex";}}}s:1:"a";a:1:{s:1:"r";a:3:{i:0;a:2:{s:1:"v";s:5:"0.8.6";s:1:"s";s:4:"beta";}i:1;a:2:{s:1:"v";s:5:"0.8.5";s:1:"s";s:4:"beta";}i:2;a:2:{s:1:"v";s:3:"0.8";s:1:"s";s:4:"beta";}}}s:4:"deps";a:3:{i:0;a:2:{s:1:"v";s:5:"0.8.5";s:1:"d";s:110:"a:1:{i:1;a:4:{s:4:"type";s:3:"pkg";s:3:"rel";s:2:"ge";s:7:"version";s:3:"1.0";s:4:"name";s:11:"Math_TrigOp";}}";}i:1;a:2:{s:1:"v";s:5:"0.8.6";s:1:"d";s:220:"a:1:{s:8:"required";a:3:{s:3:"php";a:1:{s:3:"min";s:5:"4.0.0";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}s:7:"package";a:3:{s:4:"name";s:11:"Math_TrigOp";s:7:"channel";s:12:"pear.php.net";s:3:"min";s:3:"1.0";}}}";}i:2;a:2:{s:1:"v";s:3:"0.8";s:1:"d";s:110:"a:1:{i:1;a:4:{s:4:"type";s:3:"pkg";s:3:"rel";s:2:"ge";s:7:"version";s:3:"1.0";s:4:"name";s:11:"Math_TrigOp";}}";}}}i:6;a:3:{s:1:"p";a:7:{s:1:"n";s:12:"Math_Integer";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:3:"PHP";s:1:"s";s:44:"Package to represent and manipulate integers";s:1:"d";s:304:"The class Math_Integer can represent integers bigger than the
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The Math_IntegerOp class defines operations on Math_Integer objects.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:20:"/rest/r/math_integer";}}}s:1:"a";a:1:{s:1:"r";a:2:{s:1:"v";s:5:"0.9.0";s:1:"s";s:4:"beta";}}s:4:"deps";a:2:{s:1:"v";s:5:"0.9.0";s:1:"d";s:116:"a:1:{s:8:"required";a:2:{s:3:"php";a:1:{s:3:"min";s:5:"4.0.0";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}}}";}}i:7;a:3:{s:1:"p";a:7:{s:1:"n";s:14:"Math_Fibonacci";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:3:"PHP";s:1:"s";s:53:"Package to calculate and manipulate Fibonacci numbers";s:1:"d";s:454:"The Fibonacci series is constructed using the formula:
      F(n) = F(n - 1) + F (n - 2),
By convention F(0) = 0, and F(1) = 1.
An alternative formula that uses the Golden Ratio can also be used:
      F(n) = (PHI^n - phi^n)/sqrt(5) [Lucas' formula],
where PHI = (1 + sqrt(5))/2 is the Golden Ratio, and
      phi = (1 - sqrt(5))/2 is its reciprocal
Requires Math_Integer, and can be used with big integers if the GMP or
the BCMATH libraries are present.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:22:"/rest/r/math_fibonacci";}}}s:1:"a";a:1:{s:1:"r";a:2:{s:1:"v";s:3:"0.8";s:1:"s";s:6:"stable";}}s:4:"deps";a:2:{s:1:"v";s:3:"0.8";s:1:"d";s:88:"a:1:{i:1;a:3:{s:4:"type";s:3:"pkg";s:3:"rel";s:3:"has";s:4:"name";s:12:"Math_Integer";}}";}}i:8;a:3:{s:1:"p";a:7:{s:1:"n";s:15:"Math_Quaternion";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:3:"PHP";s:1:"s";s:52:"Classes that define Quaternions and their operations";s:1:"d";s:534:"Classes that represent and manipulate quaternions. Contain definitions
for basic arithmetic functions in a static class.
Quaternions are an extension of the idea of complex numbers, and
a quaternion is defined as: 
    q = a + b*i + c*j + d*k
In 1844 Hamilton described a system in which numbers were composed of
a real part and 3 imaginary and independent parts (i,j,k), such that:
    i^2 = j^2 = k^2 = -1       and
    ij = k, jk = i, ki = j     and
    ji = -k, kj = -i, ik = -j
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This class defines methods for matrix objects, as well as static methods 
to read, write and manipulate matrices, including methods to solve systems 
of linear equations (with and without iterative error correction).
Requires the Math_Vector package.
For running the unit tests you will need PHPUnit version 0.6.2 or older.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:19:"/rest/r/math_matrix";}}}s:1:"a";a:1:{s:1:"r";a:4:{i:0;a:2:{s:1:"v";s:5:"0.8.7";s:1:"s";s:4:"beta";}i:1;a:2:{s:1:"v";s:5:"0.8.6";s:1:"s";s:4:"beta";}i:2;a:2:{s:1:"v";s:5:"0.8.5";s:1:"s";s:4:"beta";}i:3;a:2:{s:1:"v";s:5:"0.8.0";s:1:"s";s:6:"stable";}}}s:4:"deps";a:4:{i:0;a:2:{s:1:"v";s:5:"0.8.0";s:1:"d";s:87:"a:1:{i:1;a:3:{s:4:"type";s:3:"pkg";s:3:"rel";s:3:"has";s:4:"name";s:11:"Math_Vector";}}";}i:1;a:2:{s:1:"v";s:5:"0.8.5";s:1:"d";s:213:"a:2:{i:1;a:3:{s:4:"type";s:3:"pkg";s:3:"rel";s:3:"has";s:4:"name";s:11:"Math_Vector";}i:2;a:5:{s:4:"type";s:3:"pkg";s:3:"rel";s:2:"le";s:7:"version";s:5:"0.6.2";s:8:"optional";s:3:"yes";s:4:"name";s:7:"PHPUnit";}}";}i:2;a:2:{s:1:"v";s:5:"0.8.6";s:1:"d";s:322:"a:2:{s:8:"required";a:3:{s:3:"php";a:1:{s:3:"min";s:5:"4.0.0";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}s:7:"package";a:2:{s:4:"name";s:11:"Math_Vector";s:7:"channel";s:12:"pear.php.net";}}s:8:"optional";a:1:{s:7:"package";a:3:{s:4:"name";s:7:"PHPUnit";s:7:"channel";s:12:"pear.php.net";s:3:"max";s:5:"0.6.2";}}}";}i:3;a:2:{s:1:"v";s:5:"0.8.7";s:1:"d";s:220:"a:1:{s:8:"required";a:3:{s:3:"php";a:1:{s:3:"min";s:5:"4.0.0";}s:13:"pearinstaller";a:1:{s:3:"min";s:5:"1.5.6";}s:7:"package";a:3:{s:4:"name";s:11:"Math_Vector";s:7:"channel";s:12:"pear.php.net";s:3:"min";s:5:"0.7.0";}}}";}}}i:10;a:3:{s:1:"p";a:7:{s:1:"n";s:8:"Math_RPN";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:11:"PHP License";s:1:"s";s:24:"Reverse Polish Notation.";s:1:"d";s:67:"Change Expression To RPN (Reverse Polish Notation) and evaluate it.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:16:"/rest/r/math_rpn";}}}s:1:"a";a:1:{s:1:"r";a:4:{i:0;a:2:{s:1:"v";s:5:"1.1.2";s:1:"s";s:6:"stable";}i:1;a:2:{s:1:"v";s:5:"1.1.1";s:1:"s";s:6:"stable";}i:2;a:2:{s:1:"v";s:3:"1.1";s:1:"s";s:6:"stable";}i:3;a:2:{s:1:"v";s:3:"1.0";s:1:"s";s:6:"stable";}}}s:4:"deps";a:4:{i:0;a:2:{s:1:"v";s:3:"1.0";s:1:"d";s:4:"b:0;";}i:1;a:2:{s:1:"v";s:5:"1.1.1";s:1:"d";s:4:"b:0;";}i:2;a:2:{s:1:"v";s:5:"1.1.2";s:1:"d";s:116:"a:1:{s:8:"required";a:2:{s:3:"php";a:1:{s:3:"min";s:5:"4.0.0";}s:13:"pearinstaller";a:1:{s:3:"min";s:7:"1.4.0b1";}}}";}i:3;a:2:{s:1:"v";s:3:"1.1";s:1:"d";s:4:"b:0;";}}}i:11;a:3:{s:1:"p";a:7:{s:1:"n";s:26:"Math_Numerical_RootFinding";s:1:"c";s:12:"pear.php.net";s:2:"ca";a:2:{s:7:"attribs";a:1:{s:10:"xlink:href";s:12:"/rest/c/Math";}s:8:"_content";s:4:"Math";}s:1:"l";s:11:"BSD License";s:1:"s";s:45:"Numerical Root-Finding methods package in PHP";s:1:"d";s:317:"Math_Numerical_RootFinding is the package provide various number of Numerical
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Supported methods:
1. Bisection/Binary Chopping/Interval Halving/Bolzano
2. False Position/Regula Falsi
3. Fixed Point
4. Netwon-Raphson
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