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Description
Interface Summary  

Arithmetic  Arithmetic is implemented by all arithmetic objects that behave like algebraic numbers in terms of their compositional laws. 
Complex  Representation of a complex number a + i*b∈C. 
Euclidean  Euclidean ring interface. 
Fraction  Representation of a fraction a⁄s ∈ S^{1}M = M_{S}. 
Integer  Representation of an integer number k∈Z. 
Matrix  Represents a matrix of any dimension n×m. 
Metric  This interface imposes a metric on the objects supported by it. 
Normed  This interface imposes a norm on the objects of each class that implements it. 
Polynomial  Polynomial p∈R[S] := R^{(S)}. 
Quotient  Quotient represents an (algebraic) equivalence class ā=ã=[a]∈M/~. 
Rational  Representation of a rational number a⁄s ∈ Q. 
Real  Representation of a real number a∈R. 
Scalar  Abstraction of all scalar arithmetic number objects. 
Symbol  Represents an algebraic or transcendental symbol. 
Tensor  Represents a tensor t∈R^{n0×n1×…×nr1} of dimensions n_{0}×n_{1}×…×n_{r1} and rank r. 
UnivariatePolynomial  (Univariate) polynomial p∈R[X]. 
ValueFactory  Scalar value and arithmetic object value constructor factory. 
Vector  Represents a mathematical vector of any dimension n. 
Class Summary  

AlgebraicAlgorithms  Algebraic algorithms and computer algebra. 
ArithmeticFormat  ArithmeticFormat is responsible for formatting and parsing arithmetic objects. 
Evaluations  Deprecated. since Orbital1.1 This class is deprecated since its (simple) methods are mere facades for convenience. 
LUDecomposition  LUDecomposition class, decomposing A into P∙A = L∙U. 
MathUtilities  This class contains basic mathematical utilities. 
NumericalAlgorithms  This class contains numerical algorithms. 
Stat  This class contains algorithms and utilities for stochastics and statistical mathematics. 
Values  Manager for scalar value and arithmetic object value constructor factories. 
Error Summary  

FactoryConfigurationError  Thrown when a problem with configuration of the factories exists. 
Defines arithmetic objects and provides mathematical algorithms.
Arithmetic objects contained in this package are:
Group  Class  Value Representation 

scalar types  Integer  k ∈ Z 
Rational  a⁄s ∈ Q  
Real  a∈R  
Complex  a + i*b ∈ C  
vector space types  Vector<A>  v ∈ A^{n} 
Matrix<A>  M ∈ A^{m×n}  
Tensor<A>  t ∈ A^{n1×n2×…×nr}  
polynomial types  UnivariatePolynomial<R>  p ∈ R[X] 
Polynomial<R,Vector<Integer>>  p ∈ R[X_{0},...,X_{n1}]  
Polynomial<R,S>  p ∈ R[S]  
special  Symbol  "x" 
Quotient<A>  ā ∈ A/~  
Fraction<A,S>  a⁄s ∈ S^{1}A 
Since our general arithmetic objects are modelled as interfaces to provide a maximum of flexibility, you need factory methods to create an arithmetic object value. The interface ValueFactory is that central factory class which can create arithmetic object values from all kinds of primitive types. And Values is its manager class which also provides a "pluggable value factory implementation" that allow other vendor's implementation of arithmetic objects to be used. Especially, this makes it possible to switch to an implementation with different numerical properties or differing levels of integration of symbolic mathematics. Even switching to implementations with lazy evaluation would be possible.
Mathematical function types are provided in a sub package orbital.math.functional.

Orbital library 1.3.0: 11 Apr 2009 

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