Package org.matheclipse.core.reflection.system

Implementations of functions like D, Eliminate, Expand, Factor, Integrate, Plus, Power, Refine, Times,...

See: Description

Class Summary

Class	Description
Abs	Absolute value of a number.
AddTo	Operator +=
Apart	Evaluate the partial fraction decomposition of a univariate polynomial fraction.
ArcCos	Arccosine See Inverse_trigonometric functions
ArcCosh	Inverse hyperbolic cosine See Inverse hyperbolic functions
ArcCot	Arccotangent See Inverse_trigonometric functions
ArcCoth	Arccotangent hyperbolic See Inverse hyperbolic functions
ArcCsc	Inverse hyperbolic tangent See Inverse hyperbolic functions
ArcCsch	Inverse hyperbolic tangent See Inverse hyperbolic functions
ArcSec	Inverse hyperbolic tangent See Inverse hyperbolic functions
ArcSech	Inverse hyperbolic secant See Inverse hyperbolic functions
ArcSin	Arcsine See Inverse_trigonometric functions
ArcSinh	Arcsin hyperbolic See Inverse hyperbolic functions
ArcTan	Arctangent See Inverse_trigonometric functions
ArcTanh	Inverse hyperbolic tangent See Inverse hyperbolic functions
Arg	See Wikipedia - Argument (complex_analysis)
ArrayDepth
BernoulliB	Compute the Bernoulli number of the first kind.
BesselJ	Bessel function of the first kind.
Binomial	Returns the binomial coefficient of 2 integers.
Boole	Predicate function Returns 1 if the 1st argument evaluates to True; returns 0 if the 1st argument evaluates to False; and null otherwise.
BooleanConvert
BooleanMinimize	Minimize a boolean function with the Quine McCluskey algorithm.
Cancel	Cancel(expr) - cancels out common factors in numerators and denominators.
CartesianProduct	Cartesian product for multiple lists.
CatalanNumber	See Wikipedia:Catalan number
Ceiling	Returns the smallest (closest to negative infinity) ISignedNumber value that is not less than this and is equal to a mathematical integer.
CharacteristicPolynomial	Compute the characteristic polynomial of a matrix.
ChebyshevT
ChebyshevU
ChessboardDistance	ChessboardDistance of two vectors
Coefficient	See: Wikipedia - Coefficient
CoefficientList
CoefficientRules	Get exponent vectors and coefficients of monomials of a polynomial expression.
Complement
ComplexExpand	Exponential definitions for trigonometric functions See Wikipedia - List of trigonometric identities
ComposeList
Conjugate	Conjugate the given argument.
ConjugateTranspose	Conjugate and transpose a matrix.
ConstantArray	Array structure generator for constant (i,j) value.
ConstantArray.ArrayIterator
ContinuedFraction	ContinuedFraction of a double or fraction number See: Continued fraction
CoprimeQ	The integers a and b are said to be coprime or relatively prime if they have no common factor other than 1.
Cos	Cosine function See Trigonometric functions and Wikipedia - Exact trigonometric constants
Cosh	Hyperbolic cosine See Hyperbolic function
CosIntegral
Cot	Cotangent function See Trigonometric functions
Coth	Hyperbolic cotangent See Hyperbolic function
Cross	Calculate the cross product of 2 vectors with dimension 3.
Csc	Cosecant function See Trigonometric functions
Csch	Hyperbolic Cosecant function See Hyperbolic functions
Curl	See: Wikipedia:Curl (mathematics) Example: Curl[{f[u,v,w],f[v,w,u],f[w,u,v],f[x]}, {u,v,w}].
D	Differentiation of a function.
Decrement
Default	Get the default value for a symbol (i.e.
DeleteDuplicates	Delete duplicate values from a list.
Denominator	Get the denominator part of an expression See Wikipedia: Fraction (mathematics)
Derivative	Determine the derivative of a given function symbol.
Det	Compute the determinant of a matrix See Determinant
DiagonalMatrix	Create a diagonal matrix from a list
DigitQ	Returns True, if the given expression is a string which only contains digits.
Dimensions	Get the dimensions of an expression
Discriminant	See Wikipedia - Discriminant
Distribute
Divergence	See Wikipedia - Divergence Example: Divergence[{f[u,v,w],f[v,w,u],f[w,u,v]}, {u,v,w}].
DivideBy	Operator /=
Divisible
Divisors	Return the divisors of an integer number.
Dot
DSolve	See: Wikipedia:Ordinary differential equation
Eigenvalues	Compute the numerical Eigenvalues of a real symmetric matrix See: Wikipedia - Eigenvalue, eigenvector and eigenspace
Eigenvectors	Compute the numerical Eigenvectors of a real symmetric matrix See: Eigenvalue, eigenvector and eigenspace
Eliminate	Try to eliminate a variable in a set of equations (i.e.
Equal	== operator implementation.
Equivalent
Erf	Returns the error function.
EuclidianDistance	EuclidianDistance of two vectors
EulerE	Euler number
EulerPhi	Euler phi function See: Euler's totient function
Exp
Expand
ExpandAll
ExtendedGCD	Returns the gcd of two positive numbers plus the bezout relations See Extended Euclidean algorithm and See Bézout's identity
Extract
Factor	Factor a univariate polynomial
Factorial	Returns the factorial of an integer n See Factorial
Factorial2
FactorInteger	Return the factors of an integer number FactorInteger[-32536] ==> {{-1,1},{2,3},{7,2},{83,1}}
FactorSquareFree	Factors out only multiple factors of a univariate polynomial
FactorSquareFreeList	Factors out only multiple factors of a univariate polynomial
FactorTerms
Fibonacci
FindRoot	Function for numerically finding roots of a univariate real function.
Fit	Polynomial fitting of a given data point set.
Floor	Returns the largest (closest to positive infinity) ISignedNumber value that is not greater than this and is equal to a mathematical integer.
FractionalPart	Get the fractional part auf a number
FresnelC
FresnelS
FrobeniusSolve
FromCharacterCode
FromContinuedFraction	Convert a list of numbers to a fraction.
FullSimplify	Try to simplify a given expression
Gamma	Returns the Gamma function value.
Gather
GCD	Greatest common divisor See Wikipedia: Greatest common divisor
GeometricMean
Greater	> operator implementation.
GreaterEqual	>= operator implementation.
GroebnerBasis	Compute the Groebner basis for a list of polynomials.
HarmonicNumber	Harmonic number of a given integer value See: Harmonic number
Haversine
HermiteH
HilbertMatrix	Hilbert matrix, defined by Ai,j = 1 / (i+j-1).
HilbertMatrix.HilbertFunctionDiagonal
Horner	Deprecated use HornerForm
HornerForm	Generate the horner scheme for univariate polynomials.
IdentityMatrix	Create an identity matrix See Wikipedia - Identity matrix
Im	Get the imaginary part of an expression See: Imaginary part
Increment
Inner
IntegerExponent	IntegerExponent(n, base) gets the highest exponent of base (greater than 1) that divides n.
IntegerPart
IntegerPartitions	Generate all integer partitions for a given integer number.
IntegerPartitions.NumberPartitionsIterable	Returns all partitions of a given int number (i.e.
Integrate	Integration of a function.
InterpolatingFunction
InterpolatingPolynomial	Newton polynomial interpolation , is the interpolation polynomial for a given set of data points in the Newton form.
Intersection	Intersection of 2 sets See: Intersection (set theory)
Inverse	Invert a matrix See Invertible matrix
InverseErf	Returns the inverse erf.
InverseFunction
InverseHaversine
JacobiMatrix	Create a Jacobian matrix.
JacobiSymbol	See Wikipedia - Jacobi symbol
Join
KOrderlessPartitions
KPartitions	Generate a list of all all k-partitions for a given list with N elements.
KPartitions.KPartitionsIterable	This class returns the indexes for partitioning a list of N elements.
KPartitions.KPartitionsList	This Iterable iterates through all k-partition lists for a given list with N elements.
LaguerreL
LaplaceTransform	See: Wikipedia:Laplace Transform
LCM	Least common multiple See Wikipedia:Least common multiple
LegendreP
Less	< operator implementation.
LessEqual	<= operator implementation.
LetterQ	Returns True, if the given expression is a string which only contains letters
Level
Limit	Limit of a function.
LinearProgramming	The LinearProgramming provides an implementation of George Dantzig's simplex algorithm for solving linear optimization problems with linear equality and inequality constraints.
LinearSolve	Determine x for Matrix A in the equation A.x==b
Log	See Wikipedia - Logarithm
Log10
Log2
LowerCaseQ	Returns True, if the given expression is a string which only contains lower case characters
LUDecomposition
ManhattanDistance	The Manhattan distance of two vectors.
Map
MapAll
MapAt
MapThread
MatrixPower
MatrixQ	Predicate function Returns True if the 1st argument is a matrix; False otherwise
MatrixRank	Compute the rank of a matrix.
Max
Mean	See Arithmetic mean
Median	See Median
Min
Mod	See: Wikipedia - Modular arithmetic
MoebiusMu	The Möbius function.
MonomialList	Get the list of monomials of a polynomial expression.
Most
Multinomial	Returns the multinomial coefficient.
Names
Negative
NextPrime	Get the next prime number.
NFourierTransform
NIntegrate	Function for numerical integration of univariate real functions.
NMaximize
NMinimize
NonCommutativeMultiply
NonNegative
Norm	Norm of a given argument
Normalize	Normalize[vector] calculates the normalized vector.
Not
NRoots	Determine the numerical roots of a univariate polynomial See Wikipedia entries for: Quadratic equation , Cubic function and Quartic function
NSolve	Try to solve a set of equations (i.e.
NullSpace	Compute the null space of a matrix.
Numerator	Get the numerator part of an expression See Wikipedia: Fraction (mathematics)
Order	Compares the first expression with the second expression for order.
OrderedQ
Out	Get the specified history line fro the EvalEngine's history list.
Outer
PadLeft
PadRight
Partition
Permutations	Generate a list of permutations See Permutation
Permutations.KPermutationsIterable	Generate an Iterable for permutations See Permutation
Permutations.KPermutationsList	Generate a list of permutations See Permutation
Piecewise	A piecewise-defined function (also called a piecewise function or a hybrid function) is a function which is defined by multiple subfunctions, each subfunction applying to a certain interval of the main function's domain.
Plot	Plots x/y functions
Plot3D	Represents the Plot3D function
Plus
Pochhammer	Compute Pochhammer's symbol (this)_n.
PolynomialExtendedGCD	Greatest common divisor of two polynomials.
PolynomialGCD	Greatest common divisor of two polynomials.
PolynomialLCM	Least common multiple of two polynomials.
PolynomialQ	Returns True, if the given expression is a polynoomial object
PolynomialQuotient	See: Wikipedia: Polynomial long division
PolynomialQuotientRemainder	See: Wikipedia :Polynomial long division
PolynomialRemainder	See: Wikipedia:Polynomial long division
Positive
PossibleZeroQ	Predicate function Returns True if the 1st argument is 0; False otherwise
Power
PowerExpand	Expand the powers of a given expression.
PowerMod
PreDecrement
PreIncrement
Prime	Prime(i) gives the i-th prime number for i less equal 103000000.
PrimeQ	Test if a number is prime.
PrimitiveRoots	See: Exploring Number Theory - Finding Primitive Roots
Product	Product of expressions.
ProductLog	Lambert W function See: Wikipedia - Lambert W function
PseudoInverse	Pseudoinverse of a matrix See Moore-Penrose pseudoinverse
Quotient
RandomInteger
RandomReal
RandomSample	Create a random shuffled list.
Range
Rationalize
Re	Get the real part of an expression See: Real part
Replace
ReplaceAll
ReplaceList
ReplacePart
ReplaceRepeated
Resultant
Reverse
RootIntervals	Determine complex root intervals of a univariate polynomial
Roots	Determine the roots of a univariate polynomial See Wikipedia entries for: Quadratic equation , Cubic function and Quartic function
Round	Round a given value to nearest integer.
RowReduce	Reduce the matrix to row reduced echelon form.
SameQ	=== operator implementation.
Scan
Sec	Secant function See Trigonometric functions
Sech	Hyperbolic Secant function See Hyperbolic functions
Select
Sign	Gets the sign value of a number.
SignCmp	Gets the signum value of a complex number
Simplify	Try to simplify a given expression
Simplify.IsBasicExpressionVisitor
Sin	Sine function.
Sinc	Sinc function.
SingularValueDecomposition	See Wikipedia: Singular value decomposition
Sinh	Hyperbolic sine See Hyperbolic function
SinIntegral
Solve	Try to solve a set of equations (i.e.
Sort
Sqrt
SquaredEuclidianDistance	SquaredEuclidianDistance of two vectors
SquareFreeQ	Check if a univariate polynomial is square free
StirlingS2	Stirling numbers of the second kind.
StringDrop
StringJoin
StringLength
StringTake
Subfactorial	Returns the subfactorial of a positive integer n See Wikipedia - Derangement
Subsets	Generate a list of all k-combinations from a given list See Combination
Subsets.KSubsetsIterable	Iterable for all k-combinations from a set See Combination
Subsets.KSubsetsList	Iterate over the lists of all k-combinations from a given list See Combination
SubtractFrom	Operator -=
Sum	Summation of expressions.
Surd
SyntaxLength
SyntaxQ	Returns True, if the given expression is a string which has the correct syntax
Table	Table structure generator (i.e. lists, vectors, matrices, tensors)
Tan	Tan See Trigonometric functions
Tanh	Hyperbolic tangent See Hyperbolic function
Taylor	Power series expansion with Taylor formula
Thread
Through
Times
TimesBy	Operator *=
ToCharacterCode
Together	Determine a common denominator for the expressions of a sum.
ToString
Total	Sums up all elements of a list.
ToUnicode
Tr	Trace of a matrix.
Transpose	Transpose a matrix.
TrigExpand	Expands the argument of sine and cosine functions.
TrigReduce	Transform products of trigonometric functions into "linear form".
TrigToExp	Exponential definitions for trigonometric functions See List of trigonometric identities - Exponential definitions, Hyperbolic function
TrueQ	Predicate function Returns True if the 1st argument evaluates to True; False otherwise
Tuples
Unequal	!
Union	Union of two sets.
UnitStep
UnitVector	Create a unit vector See Wikipedia - Unit vector
UnsameQ	=!
UpperCaseQ	Returns True, if the given expression is a string which only contains upper case characters
VandermondeMatrix	Vandermonde matrix, defined by Ai,j = vector[i]^(j-1).
Variables	Determine the variable symbols of an expression
VectorAngle	VectorAngle(arg1, arg2) calculates the angle between vectors arg1 and arg2.
VectorQ	Predicate function Returns True if the 1st argument is a vector; False otherwise
Xor

Package org.matheclipse.core.reflection.system Description

Implementations of functions like D, Eliminate, Expand, Factor, Integrate, Plus, Power, Refine, Times,... .