initial value theorem

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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

• Shell theorem — In classical mechanics, the shell theorem gives gravitational simplifications that can be applied to objects inside or outside a spherically symmetrical body. This theorem has particular application to astronomy. Isaac Newton proved the shell… …   Wikipedia

• Picard–Lindelöf theorem — In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard s existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to certain initial value problems.The… …   Wikipedia

• Optional stopping theorem — In probability theory, the optional stopping theorem (or Doob s optional sampling theorem) says that, under certain conditions, the expected value of a martingale at a stopping time is equal to its initial value (and also expected value at any… …   Wikipedia

• Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

• Peano existence theorem — In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy Peano theorem, named after Giuseppe Peano and Augustin Louis Cauchy, is a fundamental theorem which guarantees the… …   Wikipedia

• Cauchy–Kowalevski theorem — In mathematics, the Cauchy–Kowalevski theorem is the main local existence and uniqueness theorem for analytic partial differential equations associated with Cauchy initial value problems. A special case was proved by harvs|authorlink=Augustin… …   Wikipedia

• Lax equivalence theorem — In numerical analysis, the Lax equivalence theorem states a consistent finite difference approximation for a well posed linear initial value problem is convergent if and only if it is stable. [Citation last = Strikwerda first = John C. title =… …   Wikipedia

• Equipartition theorem — [ Thermal motion of an α helical peptide. The jittery motion is random and complex, and the energy of any particular atom can fluctuate wildly. Nevertheless, the equipartition theorem allows the average kinetic energy of each atom to be computed …   Wikipedia

• Domain-straightening theorem — In differential calculus, the domain straightening theorem states that, given a vector field X on a manifold, there exist local coordinates such that in a neighborhood of a point where X is nonzero. The theorem is also known as straightening out… …   Wikipedia

• Fluctuation theorem — The fluctuation theorem (FT) is a theorem from statistical mechanics dealing with the relative probability that the entropy of a system which is currently away from thermodynamic equilibrium (maximum entropy) will increase or decrease over a… …   Wikipedia