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inverse theorem

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  • Binomial inverse theorem — In mathematics, the binomial inverse theorem is useful for expressing matrix inverses in different ways.If A, U, B, V are matrices of sizes p × p , p × q , q × q , q × p , respectively, then:left(mathbf{A}+mathbf{UBV} ight)^{ 1}=mathbf{A}^{ 1}… …   Wikipedia

  • Bounded inverse theorem — In mathematics, the bounded inverse theorem is a result in the theory of bounded linear operators on Banach spaces. It states that a bijective bounded linear operator T from one Banach space to another has bounded inverse T −1. It is equivalent… …   Wikipedia

  • Inverse mapping theorem — In mathematics, inverse mapping theorem may refer to:* the inverse function theorem on the existence of local inverses for functions with non singular derivatives;* the bounded inverse theorem on the boundedness of the inverse for invertible… …   Wikipedia

  • Inverse problem — An inverse problem is a general framework that is used to convert observed measurements into information about a physical object or system that we are interested in. For example, if we have measurements of the Earth s gravity field, then we might …   Wikipedia

  • Inverse semigroup — In mathematics, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy. Inverse semigroups appear in a range of contexts; for example, they can be employed in the… …   Wikipedia

  • Inverse function theorem — In mathematics, specifically differential calculus, the inverse function theorem gives sufficient conditions for a function to be invertible in a neighborhood of a point in its domain. The theorem also gives a formula for the derivative of the… …   Wikipedia

  • Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… …   Wikipedia

  • Inverse problem for Lagrangian mechanics — In mathematics, the inverse problem for Lagrangian mechanics is the problem of determining whether a given system of ordinary differential equations can arise as the Euler–Lagrange equations for some Lagrangian function. There has been a great… …   Wikipedia

  • Inverse Galois problem — In mathematics, the inverse Galois problem concerns whether or not every finite group appears as the Galois group of some Galois extension of the rational numbers Q. This problem, first posed in the 19th centuryFact|date=February 2007, is… …   Wikipedia

  • Inverse limit — In mathematics, the inverse limit (also called the projective limit) is a construction which allows one to glue together several related objects, the precise manner of the gluing process being specified by morphisms between the objects. Inverse… …   Wikipedia

  • Inverse trigonometric functions — Trigonometry History Usage Functions Generalized Inverse functions Further reading …   Wikipedia

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