rigorous proof
collocation in Englishmeaningsofrigorousandproof
These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withproof.
rigorous
adjective
uk/ˈrɪɡ.ər.əs/us/ˈrɪɡ.ɚ.əs/
approving
careful to look at or consider every part of something to make certain it is correct ...
See more atrigorous
proof
noun
uk/pruːf/us/pruːf/
a fact or piece of information that shows that something exists or ...
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(Definition ofrigorousandprooffrom theCambridge English Dictionary© Cambridge University Press)
Examplesofrigorous 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.
In order to give arigorousproofwe consider an appropriate setting in this paper.
From theCambridge English Corpus
Actually, all results were first derived in this simpler setting, where the heuristics described above can be directly converted into arigorousproof.
From theCambridge English Corpus
In view of the importance of such a formula, we think that arigorousproofshould exist somewhere.
From theCambridge English Corpus
A more precise description of our empirical observation is given in the following conjecture, of which arigorousproofhas not been established at present.
From theCambridge English Corpus
In particular, we do not have arigorousproofthat we have found all of the cases of the center.
From theCambridge English Corpus
Numerical experiences seem to suggest that the flows always converge, but arigorousproofis still missing.
From theCambridge English Corpus
Arigorousproofof bounds such as (7.3)-(7.5) is a delicate and lengthy matter.
From theCambridge English Corpus
Of course, our results still rely on the numerical evaluation of certain constants and therigorousproof of these statements remains an interesting open problem.
From theCambridge English Corpus
An interesting open problem is to give arigorousproofof stability.
From theCambridge English Corpus
Although this assumption is highly plausible, arigorousproofseems to present great difficulties.
From theCambridge English Corpus
However, they do not provide arigorousproofof correctness.
From theCambridge English Corpus
Indeed, there is even up to now norigorousproofof the self-similar asymptotic behaviour of the solution to the system of gas dynamics equations.
From theCambridge English Corpus
However, we do not know of anyrigorousproofof its convergence.
From theCambridge English Corpus
A number of plausibility arguments have been given to justify this assumption, but norigorousproofhas been offered.
From theCambridge English Corpus
However,rigorousproofof equivalence requires a much larger controlled trial.
From theCambridge English Corpus
The main problem in the process of obtaining arigorousproofalong these lines is that we have to keep the two classes of equal size.
From theCambridge English Corpus
Neither we nor our predecessors have been able to accept this as a fact without the mostrigorousproofbeing forthcoming.
From the
Hansard archive
Example from the Hansard archive. Contains Parliamentary information licensed under theOpen Parliament Licence v3.0
Therigorousproofof the solution can be found in references of their work.
From
Wikipedia
This article was the first to provide arigorousproofthat there was more than one kind of infinity.
From
Wikipedia
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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