Package org.matheclipse.core.reflection.system

Class Summary

Class	Description
Abs	Absolute value of a number.
AddTo	Operator +=
And	See Logical conjunction
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)
BernoulliB	Compute the Bernoulli number 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.
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.
ChessboardDistance	ChessboardDistance of two vectors
Chop
Coefficient
CoefficientList
Collect	Collect expressions.
Complement
Complex
ComplexExpand	Exponential definitions for trigonometric functions See Wikipedia - List of trigonometric identities
ComposeList
CompoundExpression
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
Cot	Cotangent function See Trigonometric functions
Coth	Hyperbolic cotangent See Hyperbolic function
Count
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.
Denominator	Get the denominator part of an expression See Wikipedia: Fraction (mathematics)
Derivative
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 /=
Dot
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
Erf	Returns the error function.
EuclidianDistance	EuclidianDistance of two vectors
EulerE	Euler number
EulerPhi	Euler phi function See: Euler's totient function
EvenQ	Predicate function Returns True if the 1st argument is an even integer number; False otherwise
Exp
Expand
ExpandAll
Exponent
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
FrobeniusSolve
FromCharacterCode
FromContinuedFraction	Convert a list of numbers to a fraction.
FullSimplify	Try to simplify a given expression
Function
Gamma	Returns the Gamma function value.
GCD	Greatest common divisor See Wikipedia:Greatest common divisor
GeometricMean
Greater
GreaterEqual
GroebnerBasis
HarmonicNumber	Harmonic number of a given integer value See: Harmonic number
HilbertMatrix	Hilbert matrix, defined by Ai,j = 1 / (i+j-1).
Hold
Horner	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
IntegerPart
IntegerPartitions	Generate all integer partitions for a given integer number.
IntegerQ	Predicate function Returns True if the first argument is an integer; False otherwise
Integrate	Integration of a function.
InterpolatingFunction
Intersection	Intersection of 2 sets See: Intersection (set theory)
Inverse	Invert a matrix See Invertible matrix
InverseErf	Returns the inverse erf.
InverseFunction
JacobiMatrix	Create a Jacobian matrix.
JacobiSymbol	See Wikipedia - Jacobi symbol
Join
KOrderlessPartitions
KPartitions
LCM	Least common multiple See Wikipedia:Least common multiple
Less
LessEqual
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
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
MapThread
MatchQ	Match an expression against a given pattern.
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.
Negative
NextPrime	Get the next prime number.
NFourierTransform
NIntegrate	Function for numerical integration of univariate real functions.
NonCommutativeMultiply
NonNegative
Norm	Norm of a given argument
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)
OddQ	Predicate function Returns True if the 1st argument is an odd integer number; False otherwise
Or	See Logical disjunction
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
Package	Package[{<list of public package rule headers>}, {<list of rules in this package>}}
PadLeft
PadRight
Part
Partition
Pattern
Permutations	Generate a list of permutations See Permutation
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	Try to simplify a given expression
PowerMod
PreDecrement
PreIncrement
PrimeQ	Test if a number is prime.
PrimitiveRoots
Product	Product of expressions.
Quotient
RandomInteger
RandomReal
Range
Rational	Representation for a rational number
Rationalize
Re	Get the real part of an expression See: Real part
ReplaceAll
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 thea matrix to row form.
Rule
RuleDelayed
SameQ
Scan
Sec	Secant function See Trigonometric functions
Sech	Hyperbolic Secant function See Hyperbolic functions
Select
Set
SetDelayed
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.
SingularValueDecomposition	See Wikipedia: Singular value decomposition
Sinh	Hyperbolic sine See Hyperbolic function
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
Subsets	Generate a list of all k-combinations from a given list See Combination
SubtractFrom	Operator -=
Sum	Summation of expressions.
SyntaxLength
SyntaxQ	Returns True, if the given expression is a string which has the correct syntax
Table	Table structure generator (i.e.
Take
Tan	Tan See Trigonometric functions
Tanh	Hyperbolic tangent See Hyperbolic function
Taylor	Power series expansion with Taylor formula
Thread
Through
Times
TimesBy	Operator *=
Timing	Calculate the time needed for evaluating a n expression
ToCharacterCode
Together
ToString
Total
ToUnicode
Tr	Trace of a matrix.
Trace	Trace the evaluation steps for a given expression.
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
UnsameQ
UpperCaseQ	Returns True, if the given expression is a string which only contains upper case characters
UpSet
UpSetDelayed
VandermondeMatrix	Vandermonde matrix, defined by Ai,j = vector[i]^(j-1).
Variables	Determine the variable symbols of an expression
VectorQ	Predicate function Returns True if the 1st argument is a vector; False otherwise