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

Key word	Category	Description	Example	Since
log	Binary Function	Logarithm function	log(a, b)	1.0
mod	Binary Function	Modulo function	mod(a, b)	1.0
C	Binary Function	Binomial coefficient function, number of k-combinations that can be drawn from n-elements set	C(n, k)	1.0
nCk	Binary Function	Binomial coefficient function, number of k-combinations that can be drawn from n-elements set	nCk(n, k)	4.2
Bern	Binary Function	Bernoulli numbers	Bern(m, n)	1.0
Stirl1	Binary Function	Stirling numbers of the first kind	Stirl1(n, k)	1.0
Stirl2	Binary Function	Stirling numbers of the second kind	Stirl2(n, k)	1.0
Worp	Binary Function	Worpitzky number	Worp(n, k)	1.0
Euler	Binary Function	Euler number	Euler(n, k)	1.0
KDelta	Binary Function	Kronecker delta	KDelta(i, j)	1.0
EulerPol	Binary Function	EulerPol	EulerPol(m, x)	1.0
Harm	Binary Function	Harmonic number	Harm(x, n)	1.0
rUni	Binary Function	Random variable – Uniform continuous distribution U(a,b), usage example: 2*rUni(2,10)	rUni(a, b)	3.0
rUnid	Binary Function	Random variable – Uniform discrete distribution U{a,b}, usage example: 2*rUnid(2,100)	rUnid(a, b)	3.0
round	Binary Function	Half-up rounding, usage examples: round(2.2, 0) = 2, round(2.6, 0) = 3, round(2.66,1) = 2.7	round(x, n)	3.0
rNor	Binary Function	Random variable – Normal distribution N(m,s) m – mean, s – stddev, usage example: 3*rNor(0,1)	rNor(mean, stdv)	3.0
ndig	Binary Function	Number of digits representing the number in numeral system with given base	ndig(number, base)	4.1
dig10	Binary Function	Digit at position 1 … n (left -> right) or 0 … -(n-1) (right -> left) – base 10 numeral system	dig10(num, pos)	4.1
factval	Binary Function	Prime decomposition – factor value at position between 1 … nfact(n) – ascending order by factor value	factval(number, factorid)	4.1
factexp	Binary Function	Prime decomposition – factor exponent / multiplicity at position between 1 … nfact(n) – ascending order by factor value	factexp(number, factorid)	4.1
root	Binary Function	N-th order root of a number	root(rootorder, number)	4.1
GammaL	Binary Function	Lower incomplete gamma special function, γ(s,x)	GammaL(s, x)	4.2
GammaU	Binary Function	Upper incomplete Gamma special function, Γ(s,x)	GammaU(s, x)	4.2
GammaP	Binary Function	Lower regularized P gamma special function, P(s,x)	GammaP(s, x)	4.2
GammaRegL	Binary Function	Lower regularized P gamma special function, P(s,x)	GammaRegL(s, x)	4.2
GammaQ	Binary Function	Upper regularized Q Gamma special function, Q(s,x)	GammaQ(s, x)	4.2
GammaRegU	Binary Function	Upper regularized Q Gamma special function, Q(s,x)	GammaRegU(s, x)	4.2
nPk	Binary Function	Number of k-permutations that can be drawn from n-elements set	nPk(n, k)	4.2
Beta	Binary Function	The Beta special function B(x,y), also called the Euler integral of the first kind	Beta(x, y)	4.2
logBeta	Binary Function	The Log Beta special function ln B(x,y), also called the Log Euler integral of the first kind, ln B(x,y)	logBeta(x, y)	4.2
pStud	Binary Function	Probability distribution function – Student’s t-distribution	pStud(x, v)	5.0
cStud	Binary Function	Cumulative distribution function – Student’s t-distribution	cStud(x, v)	5.0
qStud	Binary Function	Quantile function (inverse cumulative distribution function) – Student’s t-distribution	qStud(p, v)	5.0
pChi2	Binary Function	Probability distribution function – Chi-squared distribution	pChi2(x, k)	5.0
cChi2	Binary Function	Cumulative distribution function – Chi-squared distribution	cChi2(x, k)	5.0
qChi2	Binary Function	Quantile function (inverse cumulative distribution function) – Chi-squared distribution	qChi2(p, k)	5.0
rFSned	Binary Function	Random variable – Snedecor’s F distribution (F-distribution or F-ratio, also known as Fisher–Snedecor distribution)	rFSned(d1, d2)	5.1