org.jscience.mathematics.analysis
Class ExactRealFunction

java.lang.Object
  org.jscience.mathematics.analysis.ExactRealFunction

All Implemented Interfaces:

java.io.Serializable, Field.Member, Ring.Member, AbelianGroup.Member, AbstractMapping, C1Function, NumberMapping, Member

Direct Known Subclasses:

ExactRealPolynomial, ExactRealPolynomialFraction

public abstract class ExactRealFunction
extends java.lang.Object
implements NumberMapping, C1Function, Field.Member

This class describes a function on the real numbers.

See Also:

Serialized Form

Constructor Summary

ExactRealFunction()

Method Summary

AbelianGroup.Member	add(AbelianGroup.Member f) Returns the addition of this function and another.
ExactRealFunction	add(ExactRealFunction f) DOCUMENT ME!
ExactRealFunction	compose(ExactRealFunction f) DOCUMENT ME!
abstract ExactRealFunction	differentiate() Returns the differential of this function.
ExactRealFunction	divide(ExactRealFunction f) DOCUMENT ME!
Field.Member	divide(Field.Member f) Returns the quotient of this function and another.
IntervalsList	getIntervalsList() DOCUMENT ME!
Field.Member	inverse() Returns this function inverse.
abstract ExactReal	map(ExactReal x) DOCUMENT ME!
java.lang.Number	map(java.lang.Number x) DOCUMENT ME!
ExactRealFunction	multiply(ExactRealFunction f) DOCUMENT ME!
Ring.Member	multiply(Ring.Member f) Returns the multiplication of this function and another.
AbelianGroup.Member	negate() Returns the negative of this function.
void	setIntervalsList(IntervalsList list) DOCUMENT ME!
AbelianGroup.Member	subtract(AbelianGroup.Member f) Returns the subtraction of this function and another.
ExactRealFunction	subtract(ExactRealFunction f) DOCUMENT ME!
ExactRealPolynomial	taylorExpand(ExactReal a, int n) Returns the Taylor expansion of this function about a point.
ExactRealFunction2D	tensor(ExactRealFunction f) DOCUMENT ME!

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

ExactRealFunction

public ExactRealFunction()

Method Detail

map

public java.lang.Number map(java.lang.Number x)

DOCUMENT ME!

Specified by:

map in interface NumberMapping

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

See Also:

org.jscience.mathematics.analysis.Domain.

map

public abstract ExactReal map(ExactReal x)

DOCUMENT ME!

Parameters:

x - DOCUMENT ME!

Returns:

DOCUMENT ME!

differentiate

public abstract ExactRealFunction differentiate()

Returns the differential of this function.

Specified by:

differentiate in interface C1Function

Returns:

DOCUMENT ME!

getIntervalsList

public IntervalsList getIntervalsList()

DOCUMENT ME!

Returns:

DOCUMENT ME!

setIntervalsList

public void setIntervalsList(IntervalsList list)

DOCUMENT ME!

Parameters:

list - DOCUMENT ME!

compose

public ExactRealFunction compose(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

negate

public AbelianGroup.Member negate()

Returns the negative of this function.

Specified by:

negate in interface AbelianGroup.Member

Returns:

DOCUMENT ME!

add

public AbelianGroup.Member add(AbelianGroup.Member f)

Returns the addition of this function and another.

Specified by:

add in interface AbelianGroup.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

add

public ExactRealFunction add(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

subtract

public AbelianGroup.Member subtract(AbelianGroup.Member f)

Returns the subtraction of this function and another.

Specified by:

subtract in interface AbelianGroup.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

subtract

public ExactRealFunction subtract(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

multiply

public Ring.Member multiply(Ring.Member f)

Returns the multiplication of this function and another.

Specified by:

multiply in interface Ring.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

multiply

public ExactRealFunction multiply(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

inverse

public Field.Member inverse()

Returns this function inverse.

Specified by:

inverse in interface Field.Member

Returns:

DOCUMENT ME!

divide

public Field.Member divide(Field.Member f)

Returns the quotient of this function and another.

Specified by:

divide in interface Field.Member

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

Throws:

java.lang.IllegalArgumentException - DOCUMENT ME!

divide

public ExactRealFunction divide(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

tensor

public ExactRealFunction2D tensor(ExactRealFunction f)

DOCUMENT ME!

Parameters:

f - DOCUMENT ME!

Returns:

DOCUMENT ME!

taylorExpand

public ExactRealPolynomial taylorExpand(ExactReal a,
                                        int n)

Returns the Taylor expansion of this function about a point.

Parameters:

a - the point at which to expand about.

n - the number of terms to expand to.

Returns:

the Taylor series of f(x+a).