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词汇 example_english_direct-proof
语种 英语、汉语、英汉翻译、汉英翻译
释义

direct proof

collocation in English

meanings of directand proof


These words are often used together. Click on the links below to explore the meanings. Or, see other collocations with proof.
direct
adjective
uk /daɪˈrekt/ us /daɪˈrekt/
going in a straight line towards somewhere or someone without stopping or ...
See more at direct
proof
noun
uk /pruːf/ us /pruːf/
a fact or piece of information that shows that something exists or ...
See more at proof


Examples of direct proof


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.
We give a directproof.
We indicate a directproof for completeness.
We give the following directproof.
I do not know any directproof.
Here we provide a shorter, more directproof.
We shall give a directproof of the latter result.
We do not know any directproof of this proposition.
A simple directproof can be obtained by the following route.
The recursive definition of hextract makes a directproof of this property difficult.
A directproof that it is a resolution may be quite hard.
In what follows, we give a directproof of the conjugacy.
However, a directproof is much easier, and we have not found one in the literature.
We found it simpler to write a directproof than to appeal to his generic framework.
In what follows we give an elementary directproof based on a dynamic programming equation.
Nevertheless, it seems quite possible that one can construct a directproof of these improved results.
We were not able, however, to find a directproof of this fact.
In the following we give a directproof of this result.
This allows us to give a clean and directproof, dealing simultaneously with all times along each orbit.
Directproof for an in vivo role of endo- mannanase by sense- and antisense-transformation of tomato is still lacking.
For completeness, and for those who are not familiar with the theory of quasifactors, we provide an alternative directproof.
The correctness of this principle and its application in many cases has long been capable of directproof.
We have found a short directproof for the (2, 1) -choosability of triangle-free outerplanar graphs.
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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更新时间:2025/7/18 8:14:43