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Proof
Proof most often refers to: * Proof (truth), argument or sufficient evidence for the truth of a proposition * Alcohol proof, a measure of an alcoholic drink's strength Proof may also refer to: Mathematics and formal logic * Formal proof, a construct in proof theory * Mathematical proof, a convincing demonstration that some mathematical statement is necessarily true * Proof complexity, computational resources required to prove statements * Proof procedure, method for producing proofs in proof theory * Proof theory, a branch of mathematical logic that represents proofs as formal mathematical objects * Statistical proof, demonstration of degree of certainty for a hypothesis Law and philosophy * Evidence, information which tends to determine or demonstrate the truth of a proposition * Evidence (law), tested evidence or a legal proof * Legal burden of proof, duty to establish the truth of facts in a trial * Philosophic burden of proof, obligation on a party in a dispute to provide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (rapper)
DeShaun Dupree Holton (October 2, 1973 – April 11, 2006), known professionally as Proof, was an American rapper from Detroit, Michigan. During his career, he was a member of the groups 5 Elementz, Funky Cowboys, Promatic, Goon Sqwad, and D12. He was a close childhood friend of rapper Eminem, who also lived in Detroit. Proof was often a hype man at Eminem's concerts. Early life DeShaun Dupree Holton was born to Sharallene "Pepper" Holton, a single mother. His father, McKinley Jackson, was a music producer who left to pursue his career prior to Holton's birth. DeShaun was close friends with Eminem from a young age. Career Originally known as Maximum, under the moniker "Proof", Holton first rose to national prominence when he formed D12 "The Dirty Dozen" in 1995 with his friends Eminem, Bizarre, Mr. Porter, and a high school friend Eye-Kyu. Shortly after that, Proof recruited two friends, B-Flat & Dirty Ratt, to the group. This created the first lineup of Proof's supergr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Proof
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference. Proofs are examples of exhaustive deductive reasoning which establish logical certainty, to be distinguished from empirical arguments or non-exhaustive inductive reasoning which establish "reasonable expectation". Presenting many cases in which the statement holds is not enough for a proof, which must demonstrate that the statement is true in ''all'' possible cases. A proposition that has not been proved but is believed to be true is known as a conjecture, or a hypothesis if frequently used as an assumption for further mathematical work. Proofs employ logic expressed in mathematical symbols ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (comics)
''Proof'' is an American comic book series, published by Image Comics and created by writer Alex Grecian and artist Riley Rossmo. The story concerns John "Proof" Prufrock, a sasquatch, who works for a secret government organization. He hunts cryptids with his partner, Ginger Brown, and seeks clues to his past. The book was influenced by ''The X-Files'' and Tarzan. The first issue was released on October 24, 2007. Besides individual issues and trade paperbacks, ''Proof'' is also available on the iPhone and iPod Touch. Publication history The character of Proof first appeared in "Berserker", a short story published in ''Negative Burn'' #7 (December 2006). The black-and-white story, also created by Alex Grecian and Riley Rossmo, shows Proof's battle with a skin-walker. Besides his own title, Proof appeared in 2008's ''Image Monster Pile-Up'', a one-shot anthology comic that also featured The Astounding Wolf-Man, The Perhapanauts, and Firebreather. Plot The first arc, "Goatsucke ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (play)
''Proof'' is a 2000 play by the American playwright David Auburn. ''Proof'' was developed at George Street Playhouse in New Brunswick, New Jersey, during the 1999 Next Stage Series of new plays. The play premiered Off-Broadway in May 2000 and transferred to Broadway in October 2000. The play won the 2001 Pulitzer Prize for Drama and the Tony Award for Best Play. Plot The play concerns Catherine, the daughter of Robert, a recently deceased mathematical genius in his fifties and professor at the University of Chicago, and her struggle with mathematical genius and mental illness. Catherine had cared for her father through a lengthy mental illness. Upon Robert's death, his ex-graduate student Hal discovers a paradigm-shifting proof about prime numbers in Robert's office. The title refers both to that proof and to the play's central question: Can Catherine prove the proof's authorship? Along with demonstrating the proof's authenticity, Catherine also finds herself in a relationship w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof Test
A proof test is a form of stress test to demonstrate the fitness of a load-bearing structure. An individual proof test may apply only to the unit tested, or to its design in general for mass-produced items. Such a structure is often subjected to loads above that expected in actual use, demonstrating safety and design margin. Proof testing is nominally a nondestructive test, particularly if both design margins and test levels are well-chosen. However, unit failures are by definition considered to have been destroyed for their originally-intended use and load levels. Proof tests may be performed before a new design or unit is allowed to enter service, or perform additional uses, or to verify that an existing unit is still functional as intended.Test intervals for in-service ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proofreading
Proofreading is the reading of a galley proof or an electronic copy of a publication to find and correct reproduction errors of text or art. Proofreading is the final step in the editorial cycle before publication. Professional Traditional method A "galley proof" (familiarly, "a proof") is a typeset version of copy or a manuscript document. It may contain typographical errors ("printer's errors"), as a result of human error during typesetting. Traditionally, a proofreader looks at an increment of text on the copy, compares it to the corresponding typeset increment, and then marks any errors (sometimes called "line edits") using standard proofreaders' marks. Unlike copy editing, the defining procedure of a proofreading service is to work directly with two sets of information at the same time. Proofs are then returned to the typesetter for correction. Correction-cycle proofs will typically have one descriptive term, such as "bounce", "bump", or "revise" unique to the departmen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (2005 Film)
''Proof'' is a 2005 American drama film directed by John Madden and starring Gwyneth Paltrow, Anthony Hopkins, Jake Gyllenhaal, and Hope Davis. The screenplay was written by Rebecca Miller and David Auburn, based on Auburn's Pulitzer Prize-winning play of the same name. Plot The plot alternates between events immediately following the death of Robert, a brilliant mathematician at the University of Chicago whose genius was undone by crippling mental illness, and flashbacks revealing the life he shared with his daughter Catherine. Catherine is also a mathematician and was once a promising student at Northwestern University, but she struggles with living in her father's shadow and balancing her demanding studies with caring for her father, as well as the fear that she may have inherited his mental illness. At home, Robert clings to sanity by constantly bombarding Catherine with complex mathematical problems. In the opening scene Robert startles Catherine while she watches TV in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof Complexity
In logic and theoretical computer science, and specifically proof theory and computational complexity theory, proof complexity is the field aiming to understand and analyse the computational resources that are required to prove or refute statements. Research in proof complexity is predominantly concerned with proving proof-length lower and upper bounds in various propositional proof systems. For example, among the major challenges of proof complexity is showing that the Frege system, the usual propositional calculus, does not admit polynomial-size proofs of all tautologies. Here the size of the proof is simply the number of symbols in it, and a proof is said to be of polynomial size if it is polynomial in the size of the tautology it proves. Systematic study of proof complexity began with the work of Stephen Cook and Robert Reckhow (1979) who provided the basic definition of a propositional proof system from the perspective of computational complexity. Specifically Cook and Reckhow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (truth)
A proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent. In the area of oral and written communication such as conversation, dialog, rhetoric, etc., a proof is a persuasive perlocutionary speech act, which demonstrates the truth of a proposition. In any area of mathematics defined by its assumptions or axioms, a proof is an argument establishing a theorem of that area via accepted rules of inference starting from those axioms and from other previously established theorems. The subject of logic, in particular proof theory, formalizes and studies the notion of formal proof. In some areas of epistemology and theology, the notion of justification plays approximately the role of proof, while in jurisprudence the corresponding term is evidence, with "burden of proof" as a concept common to both ph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof Theory
Proof theory is a major branchAccording to Wang (1981), pp. 3–4, proof theory is one of four domains mathematical logic, together with model theory, axiomatic set theory, and recursion theory. Jon Barwise, Barwise (1978) consists of four corresponding parts, with part D being about "Proof Theory and Constructive Mathematics". of mathematical logic that represents Mathematical proof, proofs as formal mathematical objects, facilitating their analysis by mathematical techniques. Proofs are typically presented as Recursive data type, inductively-defined data structures such as list (computer science), lists, boxed lists, or Tree (data structure), trees, which are constructed according to the axioms and rule of inference, rules of inference of the logical system. Consequently, proof theory is syntax (logic), syntactic in nature, in contrast to model theory, which is Formal semantics (logic), semantic in nature. Some of the major areas of proof theory include structural proof theory, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prepress Proof
A contract proof usually serves as an agreement between customer and printer and as a color reference guide for adjusting the press before the final press run. Most contract proofs are a prepress proof. The primary goal of proofing is to serve as a tool for customer verification that the entire job is accurate. Prepress proofing (also known as off-press proofing) is a cost-effective way of providing a visual copy without the expense of creating a press proof. If errors are found during the printing process on press, correcting them can prove very costly to one or both parties involved. Press time is the most expensive part of print media. The main objective of proofing is to produce either a soft or hard copy of what the final product will look like on press. Hard-copy proofing usually involves ink-jet printing or other technologies (i.e. Laminate Proof) to produce high-quality one-off copies of the production artwork. Soft proofing usually involves highly color accurate wide-gam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proof (2015 TV Series)
''Proof'' is an American supernatural drama television series that aired on TNT from June 16 through August 18, 2015. The series starred Jennifer Beals, Matthew Modine, and Joe Morton. It was produced by TNT, with Kyra Sedgwick, series creator Rob Bragin, Tom Jacobson, Jill Littman, and Alex Graves serving as executive producers. On September 24, 2015, TNT canceled the series of ''Proof'' after one season. Plot Following the death of her teenage son, a legal separation from her husband, and a rift with her daughter, Dr. Carolyn Tyler is persuaded by Ivan Turing, a tech inventor and billionaire with cancer, to investigate supernatural cases of reincarnation, near-death experiences, and hauntings, in hopes of finding evidence that death is not final. Cast * Jennifer Beals as Dr. Carolyn "Cat" Tyler: a cardiac surgeon at Bay Vista Hospital in Seattle * Matthew Modine as Ivan Turing: an inventor billionaire stricken with cancer * David Sutcliffe as Dr. Leonard "Len" Barliss: Carolyn's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
