Lebesgue integral

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Lebesgue integral [lə′beg ‚int·ə·grəl]

(mathematics)

The generalization of Riemann integration of real valued functions, which allows for integration over more complicated sets, existence of the integral even though the function has many points of discontinuity, and convergence properties which are not valid for Riemann integrals.

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No references found			00 Hardcover QA303 Hubbard (Cornell University) introduces matrices for solving systems of linear equations and approximating nonlinear ones, defines smooth manifolds, discusses Riemann and Lebesgue integrals, computes the volume of manifolds, and uses differential forms to justify the generalized Stokes's theorem. Vector calculus, linear algebra, and differential forms; a unified ... by SciTech Book News [DELTA]] is called [DELTA]-measurable, and the Lebesgue integral over [a, b[). Variational methods for two resonant problems on time scales * by Amster, P.; De Napoli, P.; Tisdell, C.C. / International Journal of Difference Equations An important consequence is that an integral over G can be defined, with properties very like the usual or Lebesgue integral. Groups and the sampling theorem by Dodson, M.M. / Sampling Theory in Signal and Image Processing			Lebedev-Polianskii, Pavel Lebedev-Polianskii, Pavel Ivanovich Lebedeva, Sarra Lebedeva, Sarra Dmitrievna Lebedeva, Vera Lebedeva, Vera Pavlovna Lebedevka Lebedian Lebediantsev, Aleksandr Lebediantsev, Aleksandr Nikandrovich Lebedin Lebedin Cattle Lebedinskii, Andrei Lebedinskii, Andrei Vladimirovich Lebedinskii, Viacheslav Lebedinskii, Viacheslav Vasilevich Lebedinskii, Vladimir Lebedinskii, Vladimir Konstantinovich Lebedinyi Lebenshorn Lebensraum Leberekht, Gans Leberekht, Gans Fridrikhovich Lebesgue exterior measure Lebesgue Integrable Function Lebesgue integral Lebesgue interior measure Lebesgue measure Lebesgue number Lebesgue, Henri Lebesgue-Stieltjes integral Lebiazhe Leblanc Leblanc, Nicolas Lebon, Philippe Lebonah Lebowa Lebrun Lebrun, Albert Lebrun, Charles François Lebrun, Élisabeth Vigée- Lebrun, Ponce-Denis Ecouchard Lebrun, Ponce-Denis Écouchard Lebrun, Rico Lebsko LEC Lec, Stanislaw Jerzy LECA Lecanicephaloidea Lecanoraceae Lecanorales			Leber's disease Leber's disease Leber's disease Leber's disease Leber's hereditary optic atrophy Leber's hereditary optic atrophy Leber's hereditary optic atrophy Leber's hereditary optic atrophy Leber's hereditary optic neuropathy Leber's hereditary optic neuropathy Leber's hereditary optic neuropathy Leber's hereditary optic neuropathy Leber's Idiopathic Stellate Neuroretinitis Leber's optic atrophy Leber's optic atrophy Leber's optic atrophy Leber's optic atrophy Leber's optic neuropathy Leber's optic neuropathy Leber's optic neuropathy Leber's plexus Leber-Käs-Weckle Leberekht, Gans Leberekht, Gans Fridrikhovich Leberwurst Lebes Lebesgue Lebesgue dominated convergence theorem Lebesgue exterior measure Lebesgue Integrable Function Lebesgue integral Lebesgue integration Lebesgue interior measure Lebesgue measurable Lebesgue measurable function Lebesgue measurable set Lebesgue measure Lebesgue null Lebesgue null set Lebesgue null set Lebesgue number Lebesgue outer measure Lebesgue's dominated convergence theorem Lebesgue's dominated convergence theorem Lebesgue's monotone convergence theorem Lebesgue, Henri Lebesgue-measurable Lebesgue-measurable function Lebesgue-Stieltjes integral Lebesgue-Stieltjes integration LEBG Lebiazhe Lebistes Lebistes reticulatus LEBIT lebkuchen LEBL

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