jsci.maths.analysis

Class ComplexFunction

java.lang.Object

jsci.maths.analysis.ComplexFunction

All Implemented Interfaces:

java.io.Serializable, ComplexMapping, Ring.Member, AbelianGroup.Member, Member

Direct Known Subclasses:

ComplexExponential

public abstract class ComplexFunction
extends java.lang.Object
implements ComplexMapping, Ring.Member

This class describes a function on the complex numbers.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor and Description
ComplexFunction()

Method Summary

Modifier and Type	Method and Description
AbelianGroup.Member	add(AbelianGroup.Member f) Returns the addition of this function and another.
ComplexFunction	add(ComplexFunction f)
ComplexFunction	compose(ComplexFunction f)
static ComplexFunction	constant(Complex k)
abstract ComplexFunction	differentiate() Returns the differential of this function.
int	dimension() Returns the (complex) dimension of the space this function is on.
ComplexFunction	divide(ComplexFunction f)
Ring.Member	divide(Ring.Member f) Returns the division of this function and another.
java.lang.Object	getSet()
Ring.Member	inverse() Returns the multiplicative inverse (reciprocal) of this function.
ComplexFunction	multiply(ComplexFunction f)
Ring.Member	multiply(Ring.Member f) Returns the multiplication of this function and another.
AbelianGroup.Member	negate() Returns the negative of this function.
AbelianGroup.Member	subtract(AbelianGroup.Member f) Returns the subtraction of this function and another.
ComplexFunction	subtract(ComplexFunction f)

Methods inherited from class java.lang.Object

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

Methods inherited from interface jsci.maths.ComplexMapping

map, map

Constructor Detail

ComplexFunction

public ComplexFunction()

Method Detail

dimension

public final int dimension()

Returns the (complex) dimension of the space this function is on.

getSet

public java.lang.Object getSet()

Specified by:

getSet in interface Member

compose

public ComplexFunction compose(ComplexFunction f)

negate

public AbelianGroup.Member negate()

Returns the negative of this function.

Specified by:

negate in interface AbelianGroup.Member

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 - a group member

add

public ComplexFunction add(ComplexFunction f)

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 - a group member

subtract

public ComplexFunction subtract(ComplexFunction f)

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 - a ring member

multiply

public ComplexFunction multiply(ComplexFunction f)

inverse

public Ring.Member inverse()

Returns the multiplicative inverse (reciprocal) of this function.

divide

public Ring.Member divide(Ring.Member f)

Returns the division of this function and another.

divide

public ComplexFunction divide(ComplexFunction f)

differentiate

public abstract ComplexFunction differentiate()

Returns the differential of this function.

constant

public static ComplexFunction constant(Complex k)