Examples of 'proof uses' in a sentence
Meaning of "proof uses"
proof uses: This phrase is unclear without context; it could refer to evidence supporting certain claims or the application of proof in various scenarios
How to use "proof uses" in a sentence
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proof uses
The proof uses random unitary matrices.
Quillen 's original short proof uses generic flatness.
The proof uses the pigeonhole principle.
Yet another analytic proof uses the argument principle.
The proof uses various combinatorial and analytical methods.
A probabilistic proof uses the weak law of large numbers.
The proof uses a particular fact about computable real numbers.
The following proof uses the q-binomial theorem.
The proof uses the theory of optimal control.
A simple proof uses the method of switching.
Proof uses the above theorem-proof Herbrand.
His rather heavy proof uses a expansion in continued fraction of the function.
The proof uses mathematical induction.
And the current proof uses partially unpublished ideas of Smirnov.
The proof uses again a dynamic programming framework together with measurable selection tools.
See also
The second, more famous proof uses pure geometry, specifically the method of exhaustion.
The proof uses induction so it does not apply to all integral domains.
A related problem, whose proof uses similar techniques to Hales ' proof of the Kepler conjecture.
The proof uses the direct comparison test for the convergence of improper integrals.
The following proof uses mathematical induction and some basic differential calculus.
The proof uses the fact that the residue classes modulo a prime number are a field.
The existence proof uses the probabilistic method, and thus is not constructive.
The proof uses a type of Hilbert spaces of entire functions.
The proof uses a potential function.
This proof uses some basic concepts from dynamical systems.
The proof uses an abstract KAM theorem and a normal Birkhoff form.
The proof uses graph-theoretic techniques.
The proof uses the zig-zag product to efficiently construct expander graphs.
This proof uses only Lebesgue 's monotone and dominated convergence theorems.
The proof uses tools of algebraic topology, notably the Brouwer fixed point theorem.
Their proof uses the Ramanujan conjecture, which led to the name of Ramanujan graphs.
The proof uses self-referential sentences in way similar to the proof of Gödel 's incompleteness theorems.
The proof uses the nonsolvability of the symmetric group S5.
The proof uses Heisuke Hironaka 's theorem about the resolution of singularities.
Perelman 's proof uses a modified version of a Ricci flow program developed by Richard Hamilton.
The proof uses a particular total computable function h { \ displaystyle h }, defined as follows.
The proof uses Ramsey 's theorem.
The proof uses Jacques Tits 's machinery of BN-pairs.
The proof uses Zorn 's lemma.
The proof uses Prokhorov 's theorem.
The proof uses the above-mentioned, proof-theoretic Herbrand 's theorem.
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Of these uses oratory may serve as an illustration
White flour only uses the endosperm
Current uses of funds related to the embargo
Examples of using Proof
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The onus of proof lies with you
Proof of the research that was going on down here
The burden of proof rests on the complainant
