Definition, Betydelse & Anagram | Engelska ordet PROOFS

Definition av PROOFS

1. böjningsform av proof

Exempel på hur man kan använda PROOFS i en mening

• In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.
• NP is the set of decision problems for which the problem instances, where the answer is "yes", have proofs verifiable in polynomial time by a deterministic Turing machine, or alternatively the set of problems that can be solved in polynomial time by a nondeterministic Turing machine.
• He is best known for his proofs that the continuum hypothesis and the axiom of choice are independent from Zermelo–Fraenkel set theory, for which he was awarded a Fields Medal.
• Traditionally, the abbreviation is placed at the end of mathematical proofs and philosophical arguments in print publications, to indicate that the proof or the argument is complete.
• Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally valid.
• In an 1864 presentation, published in 1865, James Clerk Maxwell proposed theories of electromagnetism and mathematical proofs demonstrating that light, radio and x-rays were all types of electromagnetic waves propagating through free space.
• They do not formally need to be considered separately, but in practice the proofs are typically so different as to require separate presentations.
• Uniform spaces generalize metric spaces and topological groups, but the concept is designed to formulate the weakest axioms needed for most proofs in analysis.
• Episcopal conferences already established in many nations-have furnished outstanding proofs of a more fruitful apostolate.
• zk-SNARK, zero-knowledge Succinct Non-interactive ARgument of Knowledge, a cryptographic tool for producing short proofs of statements without revealing any additional information.
• However, it demonstrates a general technique that has since been used in a wide range of proofs, including the first of Gödel's incompleteness theorems and Turing's answer to the Entscheidungsproblem.
• Concerns about the soundness of arguments involving infinitesimals date back to ancient Greek mathematics, with Archimedes replacing such proofs with ones using other techniques such as the method of exhaustion.
• Despite their name, many game theorists believe that "ultra-weak" proofs are the deepest, most interesting and valuable.
• Because it is simpler than the halting problem and the Entscheidungsproblem it is often used in proofs of undecidability.
• The German edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes.
• The completeness of the propositional calculus was proved by Paul Bernays in 1918 and Emil Post in 1921, while the completeness of (first order) predicate calculus was proved by Kurt Gödel in 1930, and consistency proofs for arithmetics restricted with respect to the induction axiom schema were proved by Ackermann (1924), von Neumann (1927) and Herbrand (1931).
• Pascal is sceptical of cosmological arguments for God's existence and says that when religious people present such arguments they give atheists "ground for believing that the proofs of our religion are very weak".
• He carried his enquiries so far into the occult sciences of abstruse and hidden nature, that, after having given most ample proofs, by his writings concerning physiognomy, geomancy, and palmistry, he moved on to the study of philosophy, physics, and astrology.
• In fact, the Lagrange inversion theorem has a number of additional rather different proofs, including ones using tree-counting arguments or induction.
• The German edition includes all of his papers on number theory: all the proofs of quadratic reciprocity, the determination of the sign of the Gauss sum, the investigations into biquadratic reciprocity, and unpublished notes.

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