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单词 pullback
释义

Examplesofpullback

pullback
Furthermore, since the bottom, front and top squares are pullbacks, the back square is also apullback.
From theCambridge English Corpus
This category has weak pullbacks and setindexed products, but, in general, no pullbacks.
From theCambridge English Corpus
The interior operation is not assumed to be natural; that is, it is not assumed to commute with pullbacks.
From theCambridge English Corpus
First it can be easily checked that the following diagram is apullback.
From theCambridge English Corpus
For example, collections can be zipped if and only if the monad's endofunctor preserves pullbacks.
From theCambridge English Corpus
We will also have use for inverse images, which are pullbacks of two morphisms at least one of which is a monomorphism.
From theCambridge English Corpus
The role of pullbacks in categorical interpretations of logic is to perform substitution of terms into predicates and formulas.
From theCambridge English Corpus
Let be a weak inclusive category that has pullbacks.
From theCambridge English Corpus
The gist of affine equivalence techniques is to use these estimates in combination with thepullbackformulas (2.16)-(2.19) for vector proxies.
From theCambridge English Corpus
Techniques based on thepullbackof differential forms are instrumental in getting interpolation estimates.
From theCambridge English Corpus
Let us note a general 2-categorical fact, thatpullbackfunctors between slices preserve existing exponentials.
From theCambridge English Corpus
For the rest, we add as before thepullbacktiles that provide the coordination mechanism about local instantiations.
From theCambridge English Corpus
Then (1) is apullbackif and only if it satisfies the reduced chain-condition and f, g is monomorphic.
From theCambridge English Corpus
Indeed, to interpret substitution, we need to find a canonical choice of pullbacks that is functorial and is strictly preserved by the categorical structure.
From theCambridge English Corpus
Here we require that the category must be at least lex, since we want to interpret substitution viapullback.
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.
#https://dictionary.cambridge.org//dictionary/english/pullback##
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更新时间:2025/2/5 19:53:13