3.27 Mathematics (others)

Procedures for mathematics.

Function: sin-deg degree

Function: cos-deg degree

Function: tan-deg degree

computes trigonometric function by degree.

Function: asin-deg value

Function: acos-deg value

Function: atan-deg value

computes inverted trigonometric function by degree.

Function: sinc rad

computes the sinc function.

Function: kronecker-delta a b

computes Kronecker’s delta \delta_{a,b}.

Function: kronecker-delta-proc equiv? o1 o2

returns 1 if (equiv? o1 o2) is #t, otherwise returns 0

Function: kronecker-delta-eq o1 o2

Function: kronecker-delta-eqv o1 o2

Function: kronecker-delta-equal o1 o2

equivalent with (kronecker-delta eq? o1 o2), (kronecker-delta eqv? o1 o2) and (kronecker-delta equal? o1 o2), respectively.

Function: iverson-function obj

returns 1 if the object is #t, otherwise returns 0.

Function: antisymmetric-epsilon num …

returns 1 if the parity of num… is even, -1 if the parity is odd, 0 if more than two numbers equal in num… each other.
Values in num… must be between 0 to number of num - 1.
This procedure is equivalent with computing antisymmetric tensor \epsilon_{ij\dots{}n}.

Function: factorial n

computes the factorial of n n!.

Function: binomial-coefficient n k

computes the binomial coefficient.

Function: permutation num …

creates a permutation group.

Function: * permutaion …

[R5RS+] multiplies all given arguments. This procedure extends for the permutation group.

Function: permutation-invert permutation

computes invert of the permutation group.

Function: permutation-ref permutation n

gets nth value of the permutation group.

Function: factorize-fixnum n

factorize n to prime numbers and returns a list of the prime numbers.
n must be a fixnum.

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