Uses of Interface
orbital.math.Arithmetic

Packages that use Arithmetic

orbital.awt	Extends the core Java AWT Package and includes some Beans and GUI add-ons as well as generic customizers.
orbital.math	Defines arithmetic objects and provides mathematical algorithms.
orbital.math.functional	Contains mathematical functors and extended functional operations.
orbital.moon.logic	Contains implementations of some logics as well as a logic and mathematical expression parser.

Uses of Arithmetic in orbital.awt

Methods in orbital.awt with parameters of type Arithmetic

protected void

Plot2D.setWindow(Arithmetic minxo, Arithmetic minyo, Arithmetic maxxo, Arithmetic maxyo)

Uses of Arithmetic in orbital.math

Subinterfaces of Arithmetic in orbital.math

interface	Complex Representation of a complex number a + i*b∈C.
interface	Euclidean Euclidean ring interface.
interface	Fraction Representation of a fraction a⁄s ∈ S-1M = MS.
interface	Integer Representation of an integer number k∈Z.
interface	Matrix Represents a matrix of any dimension n×m.
interface	Polynomial Polynomial p∈R[S] := R(S).
interface	Quotient Quotient represents an (algebraic) equivalence class ā=ã=[a]∈M/~.
interface	Rational Representation of a rational number a⁄s ∈ Q.
interface	Real Representation of a real number a∈R.
interface	Scalar Abstraction of all scalar arithmetic number objects.
interface	Symbol Represents an algebraic or transcendental symbol.
interface	Tensor Represents a tensor t∈Rn0×n1×…×nr-1 of dimensions n0×n1×…×nr-1 and rank r.
interface	UnivariatePolynomial (Univariate) polynomial p∈R[X].
interface	Vector Represents a mathematical vector of any dimension n.

Methods in orbital.math that return Arithmetic

Arithmetic	Arithmetic.add(Arithmetic b) Adds an arithmetic object to this returning the result.
static Arithmetic	Evaluations.average(Matrix M) Deprecated. Returns the average of all elements in this Matrix.
static Arithmetic	Evaluations.average(Vector v) Deprecated. Returns the average of all elements in this Vector.
Arithmetic	Fraction.denominator() Returns the denominator component.
Arithmetic	Matrix.det() Returns the determinant of the matrix representation.
Arithmetic	LUDecomposition.det() The determinant of A.
Arithmetic	Arithmetic.divide(Arithmetic b) Divides this by an arithmetic object returning the result.
Arithmetic	Polynomial.get(Arithmetic i) Get the i-th coefficient.
Arithmetic	Vector.get(int i) Returns the value at the component specified by index.
Arithmetic	UnivariatePolynomial.get(int i) Get the coefficient of Xi.
Arithmetic	Tensor.get(int[] i) Get the component specified by index.
Arithmetic	Matrix.get(int i, int j) Returns the component value at a position (i|j).
Arithmetic[]	UnivariatePolynomial.getCoefficients() Returns an array containing all the coefficients of this polynomial.
static Arithmetic	NumericalAlgorithms.integrate(Function f, Arithmetic a, Arithmetic b) Returns ≈ ∫ab f dx.
static Arithmetic	MathUtilities.integrate(Function f, Arithmetic a, Arithmetic b) Returns ∫ab f dx.
Arithmetic	Quotient.inverse() Returns (modular) multiplicative inverse of this (mod ~).
Arithmetic	Arithmetic.inverse() Returns the multiplicative inverse of this arithmetic object.
static Arithmetic	Evaluations.max(Matrix M) Deprecated. Returns the maximum value of all elements in this Matrix.
static Arithmetic	Evaluations.max(Vector v) Deprecated. Returns the maximum value of all elements in this Vector.
static Arithmetic	Evaluations.min(Matrix M) Deprecated. Returns the minimum value of all elements in this Matrix.
static Arithmetic	Evaluations.min(Vector v) Deprecated. Returns the minimum value of all elements in this Vector.
Arithmetic	Arithmetic.minus() Returns the additive inverse of this arithmetic object.
Arithmetic	Arithmetic.multiply(Arithmetic b) Multiplies an arithmetic object to this returning the result.
Arithmetic	Vector.multiply(Vector b) Scalar-dot-product ⟨·,·⟩:V×V→F of two vectors.
Arithmetic	Fraction.numerator() Returns the numerator component.
Arithmetic	Arithmetic.one() 1.
Arithmetic	ValueFactory.parse(java.lang.String s) Returns an arithmetic object whose value is equal to that of the representation in the specified string.
Arithmetic	ArithmeticFormat.parse(java.lang.String source) Parse an arithmetic object string representation.
Arithmetic	ArithmeticFormat.parse(java.lang.String source, java.text.ParsePosition status) Parse an arithmetic object string representation.
Arithmetic	Arithmetic.power(Arithmetic b) Returns the power of an arithmetic object to this base.
Arithmetic	Quotient.representative() Get the "canonical" representative of this equivalence class.
Arithmetic	Quotient.scale(Arithmetic alpha) R/I is an R-algebra, if R is a ring.
Arithmetic	Fraction.scale(Arithmetic alpha) Multiplies a scalar with this arithmetic object returning the result.
Arithmetic	Arithmetic.scale(Arithmetic alpha) Multiplies a scalar with this arithmetic object returning the result.
Arithmetic	Arithmetic.subtract(Arithmetic b) Subtracts an arithmetic object from this returning the result.
static Arithmetic	Evaluations.sum(Matrix M) Deprecated. Returns the total sum of all elements in this Matrix.
static Arithmetic	Evaluations.sum(Vector v) Deprecated. Returns the total sum of all elements in this Vector.
Arithmetic[]	Vector.toArray() Returns an array containing all the elements in this vector.
Arithmetic[][]	Matrix.toArray() Returns an array containing all the elements in this matrix.
Arithmetic	Matrix.trace() Returns the trace of the matrix representation.
Arithmetic	ValueFactory.valueOf(java.lang.String s) Returns an arithmetic object whose value is equal to that of the representation in the specified string.
Arithmetic	Arithmetic.zero() 0.

Methods in orbital.math with parameters of type Arithmetic

Arithmetic	Arithmetic.add(Arithmetic b) Adds an arithmetic object to this returning the result.
static Quotient	AlgebraicAlgorithms.chineseRemainder(Arithmetic[] x, Arithmetic[] m) Simulatenously solve independent congruences.
static Quotient	AlgebraicAlgorithms.chineseRemainder(Arithmetic[] x, Arithmetic[] m) Simulatenously solve independent congruences.
Vector	ValueFactory.CONST(int n, Arithmetic c) Gets a constant Vector, with all elements set to c.
Arithmetic	Arithmetic.divide(Arithmetic b) Divides this by an arithmetic object returning the result.
static boolean	MathUtilities.equals(Arithmetic a, Arithmetic b, double tolerance)
java.lang.String	ArithmeticFormat.format(Arithmetic obj) Get a formatted string representation of an arithmetic object.
java.lang.StringBuffer	ArithmeticFormat.format(Arithmetic obj, java.lang.StringBuffer result, java.text.FieldPosition fieldPosition)
Fraction	ValueFactory.fraction(Arithmetic a) Returns a new fraction a⁄1 ∈ S-1M = MS.
Fraction	ValueFactory.fraction(Arithmetic a, Arithmetic s) Returns a new fraction a⁄s ∈ S-1M = MS.
Arithmetic	Polynomial.get(Arithmetic i) Get the i-th coefficient.
Vector	Vector.insert(Arithmetic v) Append a value to this vector.
Vector	Vector.insert(int index, Arithmetic v) Insert a value into this vector at the specified index.
static Arithmetic	NumericalAlgorithms.integrate(Function f, Arithmetic a, Arithmetic b) Returns ≈ ∫ab f dx.
static Arithmetic	MathUtilities.integrate(Function f, Arithmetic a, Arithmetic b) Returns ∫ab f dx.
Polynomial	ValueFactory.MONOMIAL(Arithmetic exponent) The monomial 1·Xi.
Polynomial	ValueFactory.MONOMIAL(Arithmetic coefficient, Arithmetic exponent) The monomial c·Xi.
UnivariatePolynomial	ValueFactory.MONOMIAL(Arithmetic coefficient, int exponent) The univariate monomial c·Xe.
Polynomial	ValueFactory.MONOMIAL(Arithmetic coefficient, int[] exponents) The monomial c·X0i[0]...Xn-1i[n-1].
Arithmetic	Arithmetic.multiply(Arithmetic b) Multiplies an arithmetic object to this returning the result.
UnivariatePolynomial	ValueFactory.polynomial(Arithmetic[] coefficients) Returns a (univariate) polynomial with the specified coefficients.
Arithmetic	Arithmetic.power(Arithmetic b) Returns the power of an arithmetic object to this base.
Quotient	ValueFactory.quotient(Arithmetic a, Function mod) Returns a new quotient ā=[a]∈M/mod of the given value reduced with the quotient operator.
Quotient	ValueFactory.quotient(Arithmetic a, Polynomial m) (traps type unification error).
Arithmetic	Quotient.scale(Arithmetic alpha) R/I is an R-algebra, if R is a ring.
Arithmetic	Fraction.scale(Arithmetic alpha) Multiplies a scalar with this arithmetic object returning the result.
Arithmetic	Arithmetic.scale(Arithmetic alpha) Multiplies a scalar with this arithmetic object returning the result.
void	Tensor.set(int[] i, Arithmetic vi) Sets the component specified by index.
void	Vector.set(int i, Arithmetic vi) Sets a value at the component specified by index.
void	Matrix.set(int i, int j, Arithmetic mij) Sets a component value at a position (i|j).
Arithmetic	Arithmetic.subtract(Arithmetic b) Subtracts an arithmetic object from this returning the result.
Vector	ValueFactory.tensor(Arithmetic[] values) Returns a vector containing the specified arithmetic objects.
Matrix	ValueFactory.tensor(Arithmetic[][] values) Returns a matrix containing the specified arithmetic objects.
Tensor	ValueFactory.tensor(Arithmetic[][][] values)
Vector	ValueFactory.valueOf(Arithmetic[] values) Returns a Vector containing the specified arithmetic objects.
Matrix	ValueFactory.valueOf(Arithmetic[][] values) Returns a Matrix containing the specified arithmetic objects.

Uses of Arithmetic in orbital.math.functional

Subinterfaces of Arithmetic in orbital.math.functional

interface	BinaryFunction This interface encapsulates a binary function "r = f(x,y)".
static interface	BinaryFunction.Composite A composite function.
interface	Function This interface encapsulates a mathematical unary function "r = f(x)".
static interface	Function.Composite A composite function.
interface	MathFunctor MathFunctor interface tags all mathematical functors.
static interface	MathFunctor.Composite A composed mathematical functors.

Methods in orbital.math.functional with parameters of type Arithmetic

static BinaryFunction	Functions.binaryConstant(Arithmetic a) constant â: R×R→R; (x,y) ↦ a.
static Function	Functions.exp(Arithmetic b) expb: C→C\{0}; x ↦ bx .
static Function	Functions.linear(Arithmetic a) linear: A→B; x ↦ a*x.
static Function	Functions.pow(Arithmetic p) powp: R→R; x ↦ xp .

Uses of Arithmetic in orbital.moon.logic

Methods in orbital.moon.logic that return Arithmetic

Arithmetic	MathExpressionSyntax.createMathExpression(java.lang.String expression) Parses an expression and queries its arithmetic object.
Arithmetic	MathExpressionSyntax.getValueOf(Expression x) Get the arithmetic object represented by an expression.