rigorous proof

collocation in English

meanings of rigorousand proof

These words are often used together. Click on the links below to explore the meanings. Or, see other collocations with proof.
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 at rigorous
proof
noun
uk /pruːf/ us /pruːf/
a fact or piece of information that shows that something exists or ...
See more at proof

Examples of rigorous 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 a rigorousproof we consider an appropriate setting in this paper.
Actually, all results were first derived in this simpler setting, where the heuristics described above can be directly converted into a rigorousproof.
In view of the importance of such a formula, we think that a rigorousproof should exist somewhere.
A more precise description of our empirical observation is given in the following conjecture, of which a rigorousproof has not been established at present.
In particular, we do not have a rigorousproof that we have found all of the cases of the center.
Numerical experiences seem to suggest that the flows always converge, but a rigorousproof is still missing.
A rigorousproof of bounds such as (7.3)-(7.5) is a delicate and lengthy matter.
Of course, our results still rely on the numerical evaluation of certain constants and the rigorous proof of these statements remains an interesting open problem.
An interesting open problem is to give a rigorousproof of stability.
Although this assumption is highly plausible, a rigorousproof seems to present great difficulties.
However, they do not provide a rigorousproof of correctness.
Indeed, there is even up to now no rigorousproof of the self-similar asymptotic behaviour of the solution to the system of gas dynamics equations.
However, we do not know of any rigorousproof of its convergence.
A number of plausibility arguments have been given to justify this assumption, but no rigorousproof has been offered.
However, rigorousproof of equivalence requires a much larger controlled trial.
The main problem in the process of obtaining a rigorousproof along these lines is that we have to keep the two classes of equal size.
Neither we nor our predecessors have been able to accept this as a fact without the most rigorousproof being forthcoming.
From the
Hansard archive

Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0
The rigorousproof of the solution can be found in references of their work.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
This article was the first to provide a rigorousproof that there was more than one kind of infinity.
From
Wikipedia

This example is from Wikipedia and may be reused under a CC BY-SA license.
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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