| 单词 | commutative |
| 释义 | commutative adjective mathematicsspecializeduk/kəˈmjuː.təˌtɪv/us/kəˈmjuː.t̬əˌtɪv/(of acalculation) giving the sameresultwhateverorderthevaluesare in 可交换的（计算）Calculations & calculating
commutative| American Dictionarycommutative adjective us/kəˈmjuː·t̬əˌtɪv/mathematics of acalculation, giving the sameresultwhateverorderthevaluesare in Examplesofcommutativecommutative The principle is very useful, since closed nets do not needcommutativeconversions. From theCambridge English Corpus This raises some intriguing issues, since in general (for arbitrary finite metric spaces) such enlargements are neithercommutativenor associative. From theCambridge English Corpus In this paper we provide tools for deciding whether a knottedcommutativecalculus admits reductive cut elimination and for automating cut-elimination proofs in these calculi. From theCambridge English Corpus This operator iscommutativeand is defined whenever no components are defined on both sides. From theCambridge English Corpus In reductions, we introduce an associative (andcommutative) operator to combine a set of values. From theCambridge English Corpus The defined conditions (reductivity and weak substitutivity) are recalled below and applied to knottedcommutativecalculi. From theCambridge English Corpus In this particular example, the binary operation is not only associative but alsocommutative, but this need not be the case in general. From theCambridge English Corpus Both and are clearly alsocommutative, and almost as clearly associative. From theCambridge English Corpus Nevertheless, the actual bootstraps will require different arguments since the non-commutativity will prevent some of the rearrangements that we did in thecommutativecase. From theCambridge English Corpus Additionally, we integrate into our setting a method for the annotation of hypergraphs with an algebraic structure (in our case, acommutativemonoid). From theCambridge English Corpus We can now characterize those monads withcommutativestrength as follows. From theCambridge English Corpus These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. |
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