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单词 coproduct
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Examples ofcoproduct

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We use coproducts in a list-like fashion: the third instance only searches through the right-hand side ofcoproduct.
From theCambridge English Corpus
Of particular interest is the behaviour of thecoproduct, both by itself and with respect to partial products.
From theCambridge English Corpus
For the tensor, three of the four cases are forced by the requirement that tensor should distribute overcoproduct.
From theCambridge English Corpus
The implication (ii) to (i) follows because any colimit decomposes into acoproductof connected colimits.
From theCambridge English Corpus
An alternative approach extends the ideas contained in this paper by consideringcoproduct-introduction andcoproduct-elimination as adjoint.
From theCambridge English Corpus
In passing, a new uniqueness result is given for the laxcoproduct.
From theCambridge English Corpus
It is interesting to observe how in this case the standardcoproductconstruction actually implements a sophisticated mechanism of distributed choice.
From theCambridge English Corpus
Also, we will consider models that includecoproducttypes, so will work with bicartesian dcc's (cartesian dcc's that have coproducts).
From theCambridge English Corpus
Some basic constructions on sets will be used, like product,coproductand exponent.
From theCambridge English Corpus
This definition applies to all categories with finite coproducts such thatcoproductinjections are monomorphic.
From theCambridge English Corpus
The formulation below refrains from the assumption thatcoproductinjections are monomorphic.
From theCambridge English Corpus
In particular, extensive categories have the property thatcoproductinjections are monomorphisms, and acoproductof two monomorphisms is monomorphic.
From theCambridge English Corpus
Combining data types using thecoproductof their signatures comes at a price.
From theCambridge English Corpus
The functions we present here, however, do not inspect where something occurs in acoproduct.
From theCambridge English Corpus
The concurrent connection of two objects without synchronization is theircoproductin the category having appropriate specifications as objects and certain refinements as morphisms.
From theCambridge English Corpus
Note that these formulas have exactly the polarities of the problematic case discussed in the previous section (remembering that is product and iscoproduct).
From theCambridge English Corpus
The key idea is to combine expressions by taking thecoproductof their signatures.
From theCambridge English Corpus
The kind of behaviour illustrated above is characteristic of thecoproductin many categories of models that admit cyclic behaviours, like, for instance, transition systems.
From theCambridge English Corpus
First, for reasons of duality, the product of state spaces is acoproductof transformers, and the hom-object is a coexponent.
From theCambridge English Corpus
Similarly, decisions andcoproductinjections are restriction isomorphisms, and thus extensive.
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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