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initial-value problem

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  • Initial value problem — In mathematics, in the field of differential equations, an initial value problem is an ordinary differential equation together with specified value, called the initial condition, of the unknown function at a given point in the domain of the… …   Wikipedia

  • Boundary value problem — In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the… …   Wikipedia

  • Initial value formulation (general relativity) — The initial value formulation is a way of expressing the formalism of Einstein s theory of general relativity in a way that describes a universe evolving over time.Each solution of Einstein s equation encompasses the whole history of a universe – …   Wikipedia

  • Value at risk — (VaR) is a maximum tolerable loss that could occur with a given probability within a given period of time. VaR is a widely applied concept to measure and manage many types of risk, although it is most commonly used to measure and manage the… …   Wikipedia

  • Problem of Apollonius — In Euclidean plane geometry, Apollonius problem is to construct circles that are tangent to three given circles in a plane (Figure 1); two circles are tangent if they touch at a single point. Apollonius of Perga (ca. 262 BC ndash; ca. 190 BC)… …   Wikipedia

  • n-body problem — This article is about the problem in classical mechanics. For the problem in quantum mechanics, see Many body problem. The n body problem is the problem of predicting the motion of a group of celestial objects that interact with each other… …   Wikipedia

  • N-body problem — otheruses4|the problem in classical mechanics|the problem in quantum mechanics|Many body problem The n body problem is the problem of finding, given the initial positions, masses, and velocities of n bodies, their subsequent motions as determined …   Wikipedia

  • Value America — or VA was a dot com company founded in Nevada in 1996Perine, Keith. [http://findarticles.com/p/articles/mi m0HWW/is 33 3/ai 66682364 An American Dream Gone Bad ] , The Industry Standard , August 28, 2000. Retrieved September 10, 2007.] by Craig… …   Wikipedia

  • Examples of boundary value problems — We will use k to denote the square root of the absolute value of lambda.If lambda = 0 then:y(x) = Ax + B,solves the ODE. Substituted boundary conditions give that both A and B are equal to zero.For positive lambda we obtain that:y(x) = A e^{kx} + …   Wikipedia

  • Value engineering — is a systematic method to improve the value of goods and services by using an examination of function. Value, as defined, is the ratio of function to cost. Value can therefore be increased by either improving the function or reducing the cost. It …   Wikipedia

  • Cauchy problem — The Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain side conditions which are given on a hypersurface in the domain. It is an extension of the initial value problem.Suppose that the… …   Wikipedia

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