ordinary differential equation

  • 121Reduction of order — is a technique in mathematics for solving second order ordinary differential equations. It is employed when one solution y 1(x) is known and a second linearly independent solution y 2(x) is desired.A Simple ExampleConsider the general second… …

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  • 122Prolate spheroidal wave functions — The prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation. Let Q T denote the time truncation operator, such that x=Q T x iff x is timelimited within [ T/2;T/2] .… …

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  • 123Magnus expansion — In mathematics and physics, the Magnus expansion, named after Wilhelm Magnus (1907–1990), provides an exponential representation of the solution of a first order linear homogeneous differential equation for a linear operator. In particular it… …

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  • 124Explicit and implicit methods — In applied mathematics, explicit and implicit methods are approaches used in computer simulations of physical processes, or in other words, they are numerical methods for solving time variable ordinary and partial differential equations.Explicit… …

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  • 125Quantile function — See also quantile. In probability theory, a quantile function of a probability distribution is the inverse F −1 of its cumulative distribution function (cdf) F . Assuming a continuous and strictly monotonic distribution function, scriptstyle… …

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  • 126Atmospheric reentry — refers to the movement of human made or natural objects as they enter the atmosphere of a planet from outer space, in the case of Earth from an altitude above the edge of space. This article primarily addresses the process of controlled reentry… …

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  • 127Geodesic — [ great circle arcs.] In mathematics, a geodesic IPA|/ˌdʒiəˈdɛsɪk, ˈdisɪk/ [jee uh des ik, dee sik] is a generalization of the notion of a straight line to curved spaces . In presence of a metric, geodesics are defined to be (locally) the… …

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  • 128Navier–Stokes equations — Continuum mechanics …

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