Binary Functions

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mXparser provides a rich collection of built-in math functions, math expressions, and math symbols. Familiarize yourself with the scope and the syntax. Math collection internal help is also available directly from the software – see the tutorial and the API documentation for all the details.

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mXparser – built-in Binary Functions

Keyword	Type	Syntax	Since	Description
log	Binary function	log(a, b)	1.0	Logarithm – Binary function
mod	Binary function	mod(a, b)	1.0	Modulo – Binary function
C	Binary function	C(n, k)	1.0	Binomial coefficient, number of k-combinations that can be drawn from n-elements set – Binary function
nCk	Binary function	nCk(n, k)	4.2	Binomial coefficient, number of k-combinations that can be drawn from n-elements set – Binary function
Bern	Binary function	Bern(m, n)	1.0	Bernoulli numbers – Binary function
Stirl1	Binary function	Stirl1(n, k)	1.0	Stirling numbers of the first kind – Binary function
Stirl2	Binary function	Stirl2(n, k)	1.0	Stirling numbers of the second kind – Binary function
Worp	Binary function	Worp(n, k)	1.0	Worpitzky number – Binary function
Euler	Binary function	Euler(n, k)	1.0	Euler number – Binary function
KDelta	Binary function	KDelta(i, j)	1.0	Kronecker delta – Binary function
EulerPol	Binary function	EulerPol(m, x)	1.0	Euler polynomial – Binary function
Harm	Binary function	Harm(x, n)	1.0	Harmonic number – Binary function
rUni	Binary function	rUni(a, b)	3.0	Random variable – Uniform continuous distribution U(a,b) – Binary function
rUnid	Binary function	rUnid(a, b)	3.0	Random variable – Uniform discrete distribution U{a,b} – Binary function
round	Binary function	round(x, n)	3.0	Half-up rounding – Binary function
rNor	Binary function	rNor(mean, stdv)	3.0	Random variable – Normal distribution N(μ,σ) – Binary function
ndig	Binary function	ndig(number, base)	4.1	Number of digits representing the number in numeral system with given base – Binary function
dig10	Binary function	dig10(num, pos)	4.1	Digit at position 1 … n (left -> right) or 0 … -(n-1) (right -> left) – base 10 numeral system – Binary function
factval	Binary function	factval(number, factorid)	4.1	Prime decomposition – factor value at position between 1 … nfact(n) – ascending order by factor value – Binary function
factexp	Binary function	factexp(number, factorid)	4.1	Prime decomposition – factor exponent / multiplicity at position between 1 … nfact(n) – ascending order by factor value – Binary function
root	Binary function	root(rootorder, number)	4.1	N-th order root of a number – Binary function
GammaL	Binary function	GammaL(s, x)	4.2	Lower incomplete gamma – Special function γ(s,x) – Binary function
GammaU	Binary function	GammaU(s, x)	4.2	Upper incomplete Gamma – Special function Γ(s,x) – Binary function
GammaP	Binary function	GammaP(s, x)	4.2	Lower regularized P gamma – Special function P(s,x) – Binary function
GammaRegL	Binary function	GammaRegL(s, x)	4.2	Lower regularized P gamma – Special function P(s,x) – Binary function
GammaQ	Binary function	GammaQ(s, x)	4.2	Upper regularized Q Gamma – Special function Q(s,x) – Binary function
GammaRegU	Binary function	GammaRegU(s, x)	4.2	Upper regularized Q Gamma – Special function Q(s,x) – Binary function
nPk	Binary function	nPk(n, k)	4.2	Number of k-permutations that can be drawn from n-elements set – Binary function
Beta	Binary function	Beta(x, y)	4.2	The Beta, also called the Euler integral of the first kind – Special function B(x,y) – Binary function
logBeta	Binary function	logBeta(x, y)	4.2	The Log Beta, also called the Log Euler integral of the first kind – Special function lnB(x,y) – Binary function
pStud	Binary function	pStud(x, v)	5.0	Student’s t-distribution – Probability distribution function – Binary function
cStud	Binary function	cStud(x, v)	5.0	Student’s t-distribution – Cumulative distribution function – Binary function
qStud	Binary function	qStud(p, v)	5.0	Student’s t-distribution – Quantile function (inverse cumulative distribution function) – Binary function
pChi2	Binary function	pChi2(x, k)	5.0	Chi-squared distribution – Probability distribution function – Binary function
cChi2	Binary function	cChi2(x, k)	5.0	Chi-squared distribution – Cumulative distribution function – Binary function
qChi2	Binary function	qChi2(p, k)	5.0	Chi-squared distribution – Quantile function (inverse cumulative distribution function) – Binary function
rFSned	Binary function	rFSned(d1, d2)	5.1	Random variable – Snedecor’s F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution) – Binary function