antiautomorphism造句

• Partitions of " n " form a antiautomorphism of this lattice.
• With matrices, an example of an antiautomorphism is given by the transpose map.
• Since for an antiautomorphism we have for all in, if, then must be commutative and is a bilinear form.
• Any duality of for is induced by a nondegenerate sesquilinear form on the underlying vector space ( with a companion antiautomorphism ) and conversely.
• By the Fundamental theorem of projective geometry is induced by a semilinear map with associated isomorphism, which can be viewed as an antiautomorphism of.
• A " duality transform " is an involutive antiautomorphism } } of a partially ordered set } }, that is, an order automorphism of } }; thus, any two duality transforms differ only by an order automorphism.
• An antiautomorphism can also be viewed as an isomorphism of, the " opposite ring " based on the same set with the same addition, but whose multiplication operation ( ) is defined by, where the product on the right is the product in.
• The semigroup " H " and its closure have a further piece of structure inherited from " G ", namely inversion on " G " extends to an antiautomorphism of " H " and its closure, which fixes the elements in exp " C " and its closure.