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- Delta_operator abstract "In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one.To say that is shift-equivariant means that if , then In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vector" .To say that an operator reduces degree by one means that if is a polynomial of degree , then is either a polynomial of degree , or, in case , is 0.Sometimes a delta operator is defined to be a shift-equivariant linear transformation on polynomials in that maps to a nonzero constant. Seemingly weaker than the definition given above, this latter characterization can be shown to be equivalent to the stated definition, since shift-equivariance is a fairly strong condition.".
- Delta_operator wikiPageID "229528".
- Delta_operator wikiPageRevisionID "548883082".
- Delta_operator hasPhotoCollection Delta_operator.
- Delta_operator subject Category:Finite_differences.
- Delta_operator subject Category:Linear_algebra.
- Delta_operator subject Category:Polynomials.
- Delta_operator type Abstraction100002137.
- Delta_operator type Attribute100024264.
- Delta_operator type Difference104748836.
- Delta_operator type FiniteDifferences.
- Delta_operator type Function113783816.
- Delta_operator type MathematicalRelation113783581.
- Delta_operator type Polynomial105861855.
- Delta_operator type Polynomials.
- Delta_operator type Quality104723816.
- Delta_operator type Relation100031921.
- Delta_operator comment "In mathematics, a delta operator is a shift-equivariant linear operator on the vector space of polynomials in a variable over a field that reduces degrees by one.To say that is shift-equivariant means that if , then In other words, if is a "shift" of , then is also a shift of , and has the same "shifting vector" .To say that an operator reduces degree by one means that if is a polynomial of degree , then is either a polynomial of degree , or, in case , is 0.Sometimes a delta operator is defined to be a shift-equivariant linear transformation on polynomials in that maps to a nonzero constant. ".
- Delta_operator label "Delta operator".
- Delta_operator label "Operator delta".
- Delta_operator sameAs デルタ作用素.
- Delta_operator sameAs Operator_delta.
- Delta_operator sameAs m.01hdq5.
- Delta_operator sameAs Q5254796.
- Delta_operator sameAs Q5254796.
- Delta_operator sameAs Delta_operator.
- Delta_operator wasDerivedFrom Delta_operator?oldid=548883082.
- Delta_operator isPrimaryTopicOf Delta_operator.