exponential polynomial

  • 1Polynomial — 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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  • 2Exponential time — In complexity theory, exponential time is the computation time of a problem where the time to complete the computation, m ( n ), is bounded by an exponential function of the problem size, n . In other words, as the size of the problem increases… …

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  • 3Polynomial time — In computational complexity theory, polynomial time refers to the computation time of a problem where the run time, m ( n ), is no greater than a polynomial function of the problem size, n .Written mathematically using big O notation, this states …

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  • 4Exponential sum — In mathematics, an exponential sum may be a finite Fourier series (i.e. a trigonometric polynomial), or other finite sum formed using the exponential function, usually expressed by means of the function:e(x) = exp(2pi ix).Therefore a typical… …

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  • 5Exponential growth — The graph illustrates how exponential growth (green) surpasses both linear (red) and cubic (blue) growth.   Exponential growth …

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  • 6Polynomial hierarchy — In computational complexity theory, the polynomial hierarchy is a hierarchy of complexity classes that generalize the classes P, NP and co NP to oracle machines.DefinitionsThere are multiple equivalent definitions of the classes of the polynomial …

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  • 7Exponential formula — In combinatorial mathematics, the exponential formula (called the polymer expansion in physics) states that the exponential generating function for structures on finite sets is the exponential of the exponential generating function for connected… …

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  • 8Exponential function — The natural exponential function y = ex In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex is its own derivative …

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  • 9Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …

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  • 10Exponential hierarchy — In computational complexity theory, the exponential hierarchy is a hierarchy of complexity classes, starting with EXP:: m{EXP} = igcup {kinmathbb{N mbox{DTIME}left(2^{n^k} ight)and continuing with: m{2EXP} = igcup {kinmathbb{N… …

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