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as well as a static class for vector operations.
Warning: This package was designed back in early 2000, and is not PHP 5.x clean, mainly because PHP 4.x was the current release back then.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:19:"/rest/r/math_vector";}}}s:1:"a";a:1:{s:1:"r";a:5:{i:0;a:2:{s:1:"v";s:5:"0.7.0";s:1:"s";s:4:"beta";}i:1;a:2:{s:1:"v";s:5:"0.6.2";s:1:"s";s:4:"beta";}i:2;a:2:{s:1:"v";s:5:"0.6.0";s:1:"s";s:4:"beta";}i:3;a:2:{s:1:"v";s:5:"0.5.1";s:1:"s";s:4:"beta";}i:4;a:2:{s:1:"v";s:5:"0.5.0";s:1:"s";s:4:"beta";}}}s:4:"deps";a:5:{i:0;a:2:{s:1:"v";s:5:"0.5.0";s:1:"d";s:4:"b:0;";}i:1;a:2:{s:1:"v";s:5:"0.5.1";s:1:"d";s:4:"b:0;";}i:2;a:2:{s:1:"v";s:5:"0.6.0";s:1:"d";s:4:"b:0;";}i:3;a:2:{s:1:"v";s:5:"0.6.2";s:1:"d";s:132:"a:1:{i:1;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:4;a:2:{s:1:"v";s:5:"0.7.0";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:2;a:3:{s:1:"p";a:7:{s:1:"n";s:10:"Math_Stats";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:43:"Classes to calculate statistical parameters";s:1:"d";s:383:"Package to calculate statistical parameters of numerical arrays
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cummulative numerical array. A cummulative array, has the value
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array item, e.g. $data = array(3=>4, 2.3=>5, 1.25=>6, 0.5=>3).
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statistics. Supports simple and cummulative histograms.
You can generate regular (2D) histograms, 3D, or 4D histograms
Data must not have nulls.
Requires Math_Stats.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:22:"/rest/r/math_histogram";}}}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:160:"a:2:{i:1;a:3:{s:4:"type";s:3:"php";s:3:"rel";s:2:"ge";s:7:"version";s:3:"4.1";}i:2;a:3:{s:4:"type";s:3:"pkg";s:3:"rel";s:3:"has";s:4:"name";s:10:"Math_Stats";}}";}}i:4;a:3:{s:1:"p";a:7:{s:1:"n";s:11:"Math_TrigOp";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:37:"Supplementary trigonometric functions";s:1:"d";s:138:"Static class with methods that implement supplementary trigonometric,
inverse trigonometric, hyperbolic, and inverse hyperbolic functions.";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:19:"/rest/r/math_trigop";}}}s:1:"a";a:1:{s:1:"r";a:2:{s:1:"v";s:3:"1.0";s:1:"s";s:6:"stable";}}s:4:"deps";a:2:{s:1:"v";s:3:"1.0";s:1:"d";s:4:"b:0;";}}i:5;a:3:{s:1:"p";a:7:{s:1:"n";s:12:"Math_Complex";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:56:"Classes that define complex numbers and their operations";s:1:"d";s:234:"Classes that represent and manipulate complex numbers. Contain definitions
for basic arithmetic functions, as well as trigonometric, inverse
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
signed longs that are the default of PHP, if either the GMP or
the BCMATH (bundled with PHP) are present. Otherwise it will fall
back to the internal integer representation.
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
The above are known as "Hamilton's rules"";s:1:"r";a:1:{s:7:"attribs";a:1:{s:10:"xlink:href";s:23:"/rest/r/math_quaternion";}}}s:1:"a";a:1:{s:1:"r";a:3:{i:0;a:2:{s:1:"v";s:5:"0.8.0";s:1:"s";s:4:"beta";}i:1;a:2:{s:1:"v";s:5:"0.7.1";s:1:"s";s:4:"beta";}i:2;a:2:{s:1:"v";s:3:"0.7";s:1:"s";s:4:"beta";}}}s:4:"deps";a:3:{i:0;a:2:{s:1:"v";s:5:"0.7.1";s:1:"d";s:4:"b:0;";}i:1;a:2:{s:1:"v";s:3:"0.7";s:1:"d";s:4:"b:0;";}i:2;a:2:{s:1:"v";s:5:"0.8.0";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:9;a:3:{s:1:"p";a:7:{s:1:"n";s:11:"Math_Matrix";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:49:"Class to represent matrices and matrix operations";s:1:"d";s:385:"Matrices are represented as 2 dimensional arrays of numbers.
This class defines methods for matrix objects, as well as static methods
to read, write and manipulate matrices, including methods to solve systems
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