Examples of 'proof using' in a sentence
Meaning of "proof using"
proof using - This phrase is typically used in contexts related to presenting evidence or demonstrating something through the use of evidence or logical reasoning. It implies that the proof or evidence being used is instrumental in supporting a claim or argument.
How to use "proof using" in a sentence
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proof using
Proof using the monotone convergence theorem.
Trigonometric proof using the law of cosines.
Proof using the chain rule.
The following is an independent proof using the law of cosines.
Proof using the unit circle.
The researchers then verified the proof using another computer program.
Proof using the differential equation.
The central limit theorem has a simple proof using characteristic functions.
Proof using cubic curves.
Euclid 's proof of the fundamental theorem of arithmetic is a simple proof using a minimal counterexample.
Trigonometric proof using the law of cotangents.
The means available to them in the late 17th century was a proof using infinitesimals.
Proof using implicit differentiation.
He subsequently found a much shorter proof using cohomology operations in K-theory.
Proof using power series.
See also
Attempts have also been made to validate Anselm 's proof using an automated theorem prover.
Proof using nested intervals.
Bonus, To keep your site trustworthy, add social proof using security badges or reviews.
Algebraic proof using the Pythagorean theorem.
James Margetson ( 2004 ) developed a computerized formal proof using the Isabelle theorem prover.
Proof using Clifford algebra.
See also " Statistical proof using data " section below.
Proof using Cauchy sequences.
In 1890 he published a new correct proof using successive approximations.
For a proof using the residue theorem, see the linked article.
A rigorous proof using Fourier series.
A proof using Jensen 's inequality also exists.
There is an elegant proof using Minkowski 's theorem about convex sets.
Proof using Fatou 's lemma.
There is a very short proof using the Fourier transform and the Bernstein-Sato polynomial, as follows.
Proof using Bézout 's lemma.
Proof using Bézout 's theorem.
A proof using the axiom of choice was first published by Edward Marczewski in 1930.
A proof using nets but not universal nets was given in 1992 by Paul Chernoff.
Proof Using Taylor 's expansion, we obtain.
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Proportion of households using a clean water source
