Algosim documentation: Mathematical functions

Mathematical functions

The following kernel functions are considered mathematical functions:

abs accumulate AccumulateList
AccumulateSteps add AdjugateMatrix
angle antidiagonal arccos
arccosh arccot arccoth
arccsc arccsch arcsec
arcsech arcsin arcsinh
arctan arctanh AreNotParallel
AreParallel ArePerpendicular arg
ArithmeticMean aug average
BackSubstitution BackwardShiftMatrix BasisVector
Bernstein Bessel binomial
ceil Chebyshev Cholesky
Ci CirculantMatrix ClosedInterval
cofactor CofactorMatrix col
cols ColumnSpaceBasis ColumnSpaceProjection
combinations commute CompareValue
ComplexZeroMatrix ComplexZeroVector compute
ConditionNumber ConjugateTranspose ContinuedFraction
coprime cos cosh
cot coth cototient
cross CrossProduct csc
csch dec defuzz
degrees DeletedAbsoluteRowSum det
determinant diag diff
differentiate dim DirectSum
DistanceFromColumnSpace divide divides
divisors EigenvalueOf eigenvalues
EigenvectorOf eigenvectors entrywise
erf erfc even
exp factorial FactorizedExpression
factors Fibonacci floor
ForwardShiftMatrix ForwardSubstitution frac
FresnelC FresnelS gamma
gcd GeometricMean GramSchmidt
GreaterThan GreaterThanOrEqualTo HadamardProduct
HankelMatrix HarmonicMean HarmonicNumber
Heaviside height Hermite
HermitianSquare Hessenberg HilbertMatrix
identity IdentityMatrix Im
inc InnerProduct integrate
interval inv IsAntidiagonal
IsBidiagonal IsBinary IsCarolNumber
IsCentrosymmetric IsCirculant IsCol
IsDiagonal IsDiagonallyDominant IsEigenpair
IsEigenvector IsEssentiallyZeroRow IsHankel
IsHermitian IsIdempotent IsIdentity
IsIndefinite IsInvolution IsLowerBidiagonal
IsLowerHessenberg IsLowerTriangular IsNegative
IsNegativeDefinite IsNegativeSemidefinite IsNilpotent
IsNonNegative IsNonPositive IsNonZero
IsNormal IsOrthogonal IsPermutation
IsPositive IsPositiveDefinite IsPositiveSemidefinite
IsPrime IsReducedRowEchelonForm IsReversal
IsRow IsRowEchelonForm IsScalar
IsSelfAdjoint IsSingular IsSkewHermitian
IsSkewSymmetric IsSquare IsSquareFree
IsStrictlyDiagonallyDominant IsSymmetric IsToeplitz
IsTriangular IsTridiagonal IsUnitary
IsUpperBidiagonal IsUpperHessenberg IsUpperTriangular
IsVandermonde IsZero IsZeroMatrix
IsZeroRow Iverson JacobiSymbol
Kronecker KroneckerSymbol Laguerre
lcm LeadingPrincipalSubmatrix LeastSquaresPolynomialFit
Legendre LegendreSymbol lessen
LessThan LessThanOrEqualTo ln
log LU Lucas
MainDiagonal MatFromBlocks MatFromCols
MatFromRows matrix MatrixPlot
max mean Mertens
min minor mod
modulus multiply MöbiusMu
negative NextPrime NilpotencyIndex
norm normalized NormSquared
NotDivides nullity odd
OpenInterval OuterProduct percent
permille permutations piecewise
PivotPos polyfit power
pred PrevPrime prime
PrimeFactors PrimePi primorial
product QR rad
ramp RandomInt RandomIntMatrix
RandomIntVector RandomMatrix RandomReal
RandomSignedVector RandomVector rank
Re rect ReducedRowEchelonForm
ReflectionMatrix ReplaceAntidiagonal ReplaceCol
ReplaceDiagonal ReplaceRow ReplaceSubdiagonal
ReplaceSuperdiagonal ReversalMatrix RotationMatrix
round row RowAddMul
RowEchelonForm rows RowScale
RowSwap SameValue SawtoothWave
sec sech SequenceList
SequenceVector SetRandomSeed sgn
Si sin sinc
SingularValues sinh size
SpectralRadius spectrum sqr
sqrt square SquareWave
subdiagonal SubmatrixByRemoval subtract
succ sum superdiagonal
SysSolve tan tanh
ToeplitzMatrix ToFraction ToLowerTriangular
ToSymbolicForm totient ToUpperHessenberg
ToUpperTriangular tr TrailingZeroRowCount
transpose tri TriangleWave
trunc VandermondeMatrix vec
vector vectorization width
ZeroMatrix ZeroRowCount ZeroVector