completely defined function

  • 11Unit function — In number theory, the unit function is a completely multiplicative function on the positive integers defined as::varepsilon(n) = egin{cases} 1, mbox{if }n=1 0, mbox{if }n>1 end{cases} It is called the unit function because it is the identity… …

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  • 12Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n. [1] An example of an arithmetic… …

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  • 13Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …

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  • 14Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …

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  • 15Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …

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  • 16Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …

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  • 17Computable function — Total recursive function redirects here. For other uses of the term recursive function , see Recursive function (disambiguation). Computable functions are the basic objects of study in computability theory. Computable functions are the formalized …

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  • 18Harmonic function — In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function f : U rarr; R (where U is an open subset of R n ) which satisfies Laplace s equation,… …

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  • 19Hyperbolic function — A ray through the origin intercepts the hyperbola in the point , where is twice the area between the ray and the …

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  • 20GOST (hash function) — The GOST hash function, defined in the standards GOST R 34.11 94 and GOST 34.311 95, is a 256 bit cryptographic hash function. It was initially defined in the Russia s national standard GOST R 34.11 94 Information Technology Cryptographic… …

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