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   Data must not have nulls.
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trigonometric, hyperbolic, inverse hyperbolic, exponential and
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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:
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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
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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 
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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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Zerion Mini Shell 1.0