Exponents

  • 31Generalized mean — In mathematics, a generalized mean, also known as power mean or Hölder mean (named after Otto Hölder), is an abstraction of the Pythagorean means including arithmetic, geometric, and harmonic means. Contents 1 Definition 2 Properties 2.1 …

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  • 32Scale invariance — In physics and mathematics, scale invariance is a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as… …

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  • 33Self-organized criticality — In physics, self organized criticality (SOC) is a property of (classes of) dynamical systems which have a critical point as an attractor. Their macroscopic behaviour thus displays the spatial and/or temporal scale invariance characteristic of the …

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  • 34Addition-chain exponentiation — In mathematics and computer science, optimal addition chain exponentiation is a method of exponentiation by positive integer powers that requires a minimal number of multiplications. It works by creating a minimal length addition chain that… …

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  • 35Floquet theory — is a branch of the theory of ordinary differential equations relating to the class of solutions to linear differential equations of the form, :dot{x} = A(t) x,,with displaystyle A(t) a continuous periodic function with period T. The main theorem… …

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  • 36Western architecture — Introduction       history of Western architecture from prehistoric Mediterranean cultures to the present.       The history of Western architecture is marked by a series of new solutions to structural problems. During the period from the… …

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  • 37Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …

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  • 38Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …

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  • 39Power law — A power law is any polynomial relationship that exhibits the property of scale invariance. The most common power laws relate two variables and have the form:f(x) = ax^k! +o(x^k),where a and k are constants, and o(x^k) is of x. Here, k is… …

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  • 40Simon Stevin — (1548/49 ndash; 1620) was a Flemish mathematician and engineer. He was active in a great many areas of science and engineering, both theoretical and practical. He also translated various mathematical terms into Dutch, making it one of the few… …

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