rigorous proof
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Rigorous — Rig or*ous, a. [F. rigoureux, LL. rigorosus. See {Rigor}.] 1. Manifesting, exercising, or favoring rigor; allowing no abatement or mitigation; scrupulously accurate; exact; strict; severe; relentless; as, a rigorous officer of justice; a rigorous … The Collaborative International Dictionary of English
Proof — may refer to: * A rigorous, compelling argument ** Formal proof ** Mathematical proof ** Proof theory, a branch of mathematical logic that represents proofs as formal mathematical objects ** Logical argument ** Evidence (law), tested evidence or… … Wikipedia
Proof by exhaustion — Proof by exhaustion, also known as proof by cases, perfect induction, or the brute force method, is a method of mathematical proof in which the statement to be proved is split into a finite number of cases, and each case is proved separately. A… … Wikipedia
proof — /proohf/, n. 1. evidence sufficient to establish a thing as true, or to produce belief in its truth. 2. anything serving as such evidence: What proof do you have? 3. the act of testing or making trial of anything; test; trial: to put a thing to… … Universalium
Proof of knowledge — In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds convincing a verifier that it knows something. What it means for a machine to know something is defined in terms of computation. A machine knows something … Wikipedia
Proof of the Euler product formula for the Riemann zeta function — We will prove that the following formula holds::egin{align} zeta(s) = 1+frac{1}{2^s}+frac{1}{3^s}+frac{1}{4^s}+frac{1}{5^s}+ cdots = prod {p} frac{1}{1 p^{ s end{align}where zeta; denotes the Riemann zeta function and the product extends over… … Wikipedia
Original proof of Gödel's completeness theorem — The proof of Gödel s completeness theorem given by Kurt Gödel in his doctoral dissertation of 1929 (and a rewritten version of the dissertation, published as an article in 1930) is not easy to read today; it uses concepts and formalism that are… … Wikipedia
Mathematical proof — In mathematics, a proof is a convincing demonstration (within the accepted standards of the field) that some mathematical statement is necessarily true.[1][2] Proofs are obtained from deductive reasoning, rather than from inductive or empirical… … Wikipedia
Burden of proof (logical fallacy) — In philosophy, the term burden of proof refers to the extent to which, or the level of rigour with which, it is necessary to establish, demonstrate or prove something for it to be accepted as true or reasonable to believe.All logical arguments… … Wikipedia
Statistical proof — The term statistical proof has several uses, both technically and colloquially. * Data analysis and statistics mdash; When mathematical statistics is used to provide a mathematical proof of a proposition regarding the probability of data under… … Wikipedia
