Loyc.Math.IField< T > Interface Template Reference

This defines a Field with the operations +,-,*,/ More...

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Source file:

• /Core/Loyc.Essentials/Math/Interfaces.cs

Inheritance diagram for Loyc.Math.IField< T >:

Remarks

This defines a Field with the operations +,-,*,/

Axioms that have to be satisified by the operations: The group axioms for + The group axioms for * Associativity: a * (b*c) = (a*b) * c Distributivity: a * (b+c) = (a*b) + (a*c) (a+b) * c = (a*c) + (b*c)

Additional Inherited Members
Properties inherited from Loyc.Math.IZeroProvider< T >
T	Zero [get]
	Returns the "zero" or additive identity of this type. More...
Properties inherited from Loyc.Math.IOneProvider< T >
T	One [get]
	Returns the "one" or identity value of this type. More...
Public Member Functions inherited from Loyc.Math.IAdditionGroup< T >
T	Add (T a, T b)
T	Add (T a, T b, T c)
T	Sub (T a, T b)
Public Member Functions inherited from Loyc.Math.IMultiply< T >
T	Mul (T a, T b)
Public Member Functions inherited from Loyc.Math.IMultiplicationGroup< T >
T	Div (T a, T b)
T	Shl (T a, int amount)
T	Shr (T a, int amount)
T	MulDiv (T a, T mulBy, T divBy)