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 clamp
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