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  • Proof of concept — is a short and/or incomplete realization (or ) of a certain method or idea(s) to demonstrate its feasibility, or a demonstration in principle, whose purpose is to verify that some concept or theory is probably capable of exploitation in a useful… …   Wikipedia

  • Proof of Stein's example — Stein s example is an important result in decision theory which can be stated as: The ordinary decision rule for estimating the mean of a multivariate Gaussian distribution is inadmissible under mean squared error risk in dimesion at least 3 .The …   Wikipedia

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

  • Proof-of-work system — A Proof of work ( POW ) system (or protocol, or function) is an economic measure to deter denial of service attacks and other service abuses such as spams on a network by requiring some work from the service requester, usually meaning processing… …   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

  • Proof that π is irrational — Although the mathematical constant known as pi; (pi) has been studied since ancient times, and so has the concept of irrational number, it was not until the 18th century that π was proved to be irrational.In the 20th century, proofs were found… …   Wikipedia

  • Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… …   Wikipedia

  • Proof that e is irrational — In mathematics, the series representation of Euler s number e : e = sum {n = 0}^{infty} frac{1}{n!}!can be used to prove that e is irrational. Of the many representations of e, this is the Taylor series for the exponential function e y evaluated… …   Wikipedia

  • partial — Relating to or constituting a part; not complete; not entire or universal; not general or total. United States Fidelity & Guaranty Co. v. Baker, Tex.Civ. App., 65 S.W.2d 344, 346 @ partial account An account of an executor, administrator,… …   Black's law dictionary

  • Proof of technology — In software developmentIn software development, proof of technology (abbreviated PoT) is often incorrectly used to describe three processes with different objectives and different participant roles. These uses of the phrase proof of technology… …   Wikipedia

  • Invalid proof — In mathematics, there are a variety of spurious proofs of obvious contradictions. Although the proofs are flawed, the errors, usually by design, are comparatively subtle. These fallacies are normally regarded as mere curiosities, but can be used… …   Wikipedia

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