Math::Symbolic::AuxFunUsernContributed Perl DocMath::Symbolic::AuxFunctions(3)NAMEMath::Symbolic::AuxFunctions - Auxiliary functions for Math::Symbolic
hierarchy
SYNOPSIS
use Math::Symbolic::AuxFunctions;
Math::Symbolic::AuxFunctions::acos($x);
# etc
DESCRIPTION
This module contains implementations of some auxiliary functions that
are used within the Math::Symbolic hierarchy of modules. In particular,
this module holds all trigonometric functions used for numeric
evaluation of trees by Math::Symbolic::Operator.
EXPORT
None. On purpose. If I wished this module would pollute others'
namespaces, I'd have put the functions right where they're used.
TRIGONOMETRIC FUNCTIONS
tan
Computes the tangent sin(x) / cos(x).
cot
Computes the cotangent cos(x) / sin(x).
asin
Computes the arc sine asin(z) = -i log(iz + sqrt(1-z*z)). Above
formula is for complex numbers.
acos
Computes the arc cosine acos(z) = -i log(z + sqrt(z*z-1)). Above
formula is for complex numbers.
atan
Computes the arc tangent atan(z) = i/2 log((i+z) / (i-z)). Above
formula is for complex numbers.
acot
Computes the arc cotangent ( atan( 1 / x ) ).
asinh
Computes the arc hyperbolic sine asinh(z) = log(z + sqrt(z*z+1))
acosh
Computes the arc hyperbolic cosine acosh(z) = log(z + sqrt(z*z-1)).
OTHER FUNCTIONS
binomial_coeff
Calculates the binomial coefficient n over k of its first two arguments
(n, k).
Code taken from Orwant et al, "Mastering Algorithms with Perl"
bell_number
The Bell numbers are defined as follows:
B_0 = 1
B_n+1 = sum_k=0_to_n( B_k * binomial_coeff(n, k) )
This function uses memoization.
AUTHOR
Please send feedback, bug reports, and support requests to the
Math::Symbolic support mailing list: math-symbolic-support at lists dot
sourceforge dot net. Please consider letting us know how you use
Math::Symbolic. Thank you.
If you're interested in helping with the development or extending the
module's functionality, please contact the developers' mailing list:
math-symbolic-develop at lists dot sourceforge dot net.
List of contributors:
Steffen MA~Xller, symbolic-module at steffen-mueller dot net
Stray Toaster, mwk at users dot sourceforge dot net
Oliver EbenhA~Xh
SEE ALSO
New versions of this module can be found on http://steffen-mueller.net
or CPAN. The module development takes place on Sourceforge at
http://sourceforge.net/projects/math-symbolic/
Math::Symbolic
perl v5.14.1 2011-07-26 Math::Symbolic::AuxFunctions(3)