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java.lang.Objectorg.rubato.math.module.morphism.ModuleMorphism
org.rubato.math.module.morphism.SplitMorphism
public class SplitMorphism
A split morphism describes a morphism from a free module into itself, where the module is split into several parts, for example a R^9 into R^3, R^2 and R^4. For each part a morphism is given, in the example three morphisms f1:R^3->R^3, f2:R^2->R^2 and f3:R^4->R^4.
Method Summary | |
---|---|
boolean |
equals(java.lang.Object object)
Returns true iff this morphism is equal to object . |
ModuleMorphism |
fromXML(XMLReader reader,
org.w3c.dom.Element element)
Reads XML representation from reader starting with element . |
java.lang.String |
getElementTypeName()
Returns the value of the type attribute for this class. |
ModuleMorphism[] |
getMorphisms()
Returns the morphisms that make up this split morphism in the correct order. |
ModuleMorphism |
getRingMorphism()
Returns the the ring morphism that transforms between the rings of the domain and codomain modules. |
static XMLInputOutput<ModuleMorphism> |
getXMLInputOutput()
|
boolean |
isModuleHomomorphism()
If true, then this is a module homomorphism. |
static ModuleMorphism |
make(FreeModule module,
java.util.List<ModuleMorphism> morphisms)
Creates a split morphism over module with
the given list of morphisms. |
ModuleElement |
map(ModuleElement x)
Maps the element x . |
java.lang.String |
toString()
Returns a string representation of this morphism. |
void |
toXML(XMLWriter writer)
Outputs XML representation to writer . |
Methods inherited from class org.rubato.math.module.morphism.ModuleMorphism |
---|
atZero, clone, compareTo, composable, compose, difference, getCodomain, getConstantMorphism, getConstantMorphism, getDomain, getIdentityMorphism, inDomain, isConstant, isIdentity, isLinear, isRingHomomorphism, isRingMorphism, power, scaled, sum |
Methods inherited from class java.lang.Object |
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getClass, hashCode, notify, notifyAll, wait, wait, wait |
Method Detail |
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public static ModuleMorphism make(FreeModule module, java.util.List<ModuleMorphism> morphisms)
module
with
the given list of morphisms.
public ModuleElement map(ModuleElement x) throws MappingException
ModuleMorphism
x
.
This must be implemented for each specific morphism type.
map
in class ModuleMorphism
x
MappingException
- if mapping of element fails
public ModuleMorphism getRingMorphism()
ModuleMorphism
getRingMorphism
in class ModuleMorphism
public boolean isModuleHomomorphism()
ModuleMorphism
isModuleHomomorphism
in class ModuleMorphism
public ModuleMorphism[] getMorphisms()
public boolean equals(java.lang.Object object)
ModuleMorphism
object
.
In general it is not possible to determine whether to functions
are the same, so this returns true iff both morphisms have
the same structure.
equals
in class ModuleMorphism
public java.lang.String toString()
ModuleMorphism
toString
in class ModuleMorphism
public void toXML(XMLWriter writer)
XMLInputOutput
writer
.
public ModuleMorphism fromXML(XMLReader reader, org.w3c.dom.Element element)
XMLInputOutput
reader
starting with element
.
public static XMLInputOutput<ModuleMorphism> getXMLInputOutput()
public java.lang.String getElementTypeName()
XMLInputOutput
|
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