jit Calculator JC v1.0

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comb()
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Basics

Function	Explanation	Function	Explanation
power(x,y)	x^y	exp(x)	e^x
sqrt(x)	√(x)	cbrt(x)	∛(x)
log10(x)	log₁₀(x)	log(x,b)	log_b(x)
abs(x,b)	\|x\|	fix(x)	round to zero
ceil(x)	⌈x⌉	floor(x)	⌊x⌋
[e]gcd(x, y)	[extended] greatest common divisor	lcm(x, y)	least common multiple
round(x, precision)	round to specific precision

Trigonometry/geometry

Trigonometric	Explanation	Geometric	Explanation
[a]sin[h](x)	[arc] sin [hyperbolic] (x)	distance([a,b],[c,d])	Distance between points (a,b) and (c,d)
[a]cos[h](x)	[arc] cos [hyperbolic] (x)	intersect(l1,l2)	Intersect line1 with line 2
[a]tan[h](x)	[arc] tan [hyperbolic] (x)
[a]cot[h](x)	[arc] cot [hyperbolic] (x)
[a]csc[h](x)	[arc] csc [hyperbolic] (x)
[a]sec[h](x)	[arc] sec [hyperbolic] (x)
atan2(y,x)	Inverse tangent function y/x

Linear algebra

Matrix functions	Explanation	Matrix functions	Explanation
derivative(e,v)	Derivative of expr for variable v	concat(A,B)	Concatenate 2 martices
lsolve(L,b)	Solve LX = B by forward substitution	cross(v,t)	Cross product of 2 vectors
usolve(U,b)	Solve UX = B by backward substitution	dot(A,B)	Dot product of 2 martices
lusolve(U,b)	Solve LX = B by LU decomposition	det(A)	Determinant of 2 martices
lup(A)	LU decomposition	size(A)	Get size of a matrix
qr(A)	QR decomposition	norm(A)	norm of A
dotMultiply(A,B)	Multiplication by element	transpose(A)	Transpose A = A^T
dotDivide(A,B)	Division by element	inv(A)	A^-1
dotPow(x,y)	Power by element	flatten(A)	Flatten to one dimension
		sort(A)	Sort array

Statistics

Probability	Explanation	Statistics	Explanation
factorial(n)	factorial	sum(a,b,c,...)	sum of a,b,c ...
combinations(n,k)	combinations k from n	min(a,b,c,...)	min of a,b,c ...
permutations(n,k)	permutations k from n	max(a,b,c,...)	max of a,b,c ...
random[Int]([m, n])	random real or int from [m,n)	mean(a,b,c,...)	mean of a,b,c ...
gamma(x)	gamma function of x (Lanczos approxiation)	mode(a,b,c,...)	mode of a,b,c ...
kldivergence(x,y)	Kullback-Leibler divergence	mad(a,b,c,...)	median absolute deviation of a,b,c ...
multinomial(a)	Multinomial coefficients	median(a,b,c,...)	median of a,b,c ...
pickRandom(v)	pick random from v	std(a,b,c,...)	standard deviation of a,b,c ...
		var(a,b,c,...)	variance of a,b,c ...
		prod(A)	Product of elements of A
		quantileSeq(A,n)	Prob order quantile of matrix or list

Other functions

Logic
and(x,y) [x]or(x,y)	not(x)

Special
to(x,unit)

Complex numbers
re(z)	im(z)
arg(z)	conj(z)

Combinatorics
bellNumbers(n)
catalan(n)
compositions(n,k)
stirlingS2(n,k)

Set
setCartesian(s1,s2)
setUnion(s1,s2) setIntersect(s1,s2) setDifference(s1,s2)
setDistinct(s)

Generate
zeros(n)	zeros(nxm)
ones(n)	ones(nxm)
eye(n)	diag(n)

About

jitcalculator is a draft unsupported project provided by assistedcoding.eu

Visit http://mathjs.org for details about the library used by jitcalculator. All expressions are supported.

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