Definition, Betydelse, Synonymer & Anagram | Engelska ordet PROVE

Definition av PROVE

1. bevisa, påvisa

Exempel på hur man kan använda PROVE i en mening

• He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and the study of permutation groups in abstract algebra.
• Enthusiasts of Bigfoot, such as those within the pseudoscience of cryptozoology, have offered various forms of dubious evidence to prove Bigfoot's existence, including anecdotal claims of sightings as well as alleged photographs, video and audio recordings, hair samples, and casts of large footprints.
• Some conjectures, such as the Riemann hypothesis or Fermat's conjecture (now a theorem, proven in 1995 by Andrew Wiles), have shaped much of mathematical history as new areas of mathematics are developed in order to prove them.
• The geocacher signs the log with their established code name/username and dates it, in order to prove that they found the cache.
• In many cases, a lemma derives its importance from the theorem it aims to prove; however, a lemma can also turn out to be more important than originally thought.
• The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science.
• This theorem is used to prove statements about a function on an interval starting from local hypotheses about derivatives at points of the interval.
• In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists.
• Pumping lemma for regular languages, the fact that all sufficiently long strings in such a language have a substring that can be repeated arbitrarily many times, usually used to prove that certain languages are not regular.
• The primary source for the life of Proclus is the eulogy Proclus, or On Happiness that was written for him upon his death by his successor, Marinus, Marinus' biography set out to prove that Proclus reached the peak of virtue and attained eudaimonia.
• It depicts Soviet submarine captain Marko Ramius as he seemingly goes rogue with his country's cutting-edge ballistic missile submarine Red October, and marks the first appearance of Clancy's most popular fictional character, Jack Ryan, an analyst working for the Central Intelligence Agency, as he must prove his theory that Ramius is intending to defect to the United States.
• In particular, the concept of universal property allows a simple proof that all constructions of real numbers are equivalent: it suffices to prove that they satisfy the same universal property.
• Ernst Zermelo introduced the axiom of choice as an "unobjectionable logical principle" to prove the well-ordering theorem.
• Clockwise from top-left: Lehman Brothers went bankrupt following the subprime mortgage crisis; Cyclone Nargis kills upwards of 138,373 in Myanmar and became the 7th-deadliest cyclone of all time; the 2008 Summer Olympics are held in Beijing, China whilst a series of unrest in Tibet was occurring against the games; an earthquake in Sichuan kills over 87,000 and became the 18th-deadliest earthquake of all time; a destroyed Georgian T-72 tank during the Russo-Georgian War; the Trident Hotel in Mumbai was the site of the November Mumbai attacks; the Phoenix spacecraft is the first probe to prove that ice water still exists on Mars; poster in Pristina celebrating the Independence of Kosovo from Serbia.
• Currently, in many countries with a democratic system and the rule of law, criminal procedure puts the burden of proof on the prosecution – that is, it is up to the prosecution to prove that the defendant is guilty beyond any reasonable doubt, as opposed to having the defense prove that they are innocent, and any doubt is resolved in favor of the defendant.
• She was built as a technology demonstrator ship for the Royal Navy's Future Surface Combatant, and has been used to both prove the viability of the hull-form and as a trials platform for other QinetiQ innovations.
• In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting markets, by seeking to prove that the interaction of demand and supply will result in an overall general equilibrium.
• The Transcendental Argument for the existence of God (TAG) is an argument that attempts to prove the existence of God by appealing to the necessary conditions for the possibility of experience and knowledge.
• As a thought experiment, quantum suicide is an intellectual exercise in which an abstract setup is followed through to its logical consequences merely to prove a theoretical point.
• Angle-side-side, condition in geometry that does not prove congruence of two triangles (also called SSA).

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