Results 131 to 140 of about 51,902 (192)
Unconditional deep-water limit of the intermediate long wave equation in low-regularity. [PDF]
Nonlinear Differ Equ ApplForlano J, Li G, Zhao T.
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A note on the dynamics of extended-context disordered kinetic spin models. [PDF]
J Phys A Math TheorZavatone-Veth JA, Pehlevan C.
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The viscoelastic paradox in a nonlinear Kelvin-Voigt type model of dynamic fracture. [PDF]
J Evol EquCaponi M, Carbotti A, Sapio F.
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Generalized Derangetropy Functionals for Modeling Cyclical Information Flow. [PDF]
Entropy (Basel)Ataei M, Wang X.
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Rethinking the Lebesgue Integral
American Mathematical Monthly, 2009The theory of Lebesgue integration is taught as an enterprise in extending the class of functions that can be integrated. The Riesz-Fischer theorem, which asserts the completeness of the Lp spaces, is an afterthought. From the modern point of view the aim of the theory is to construct complete function spaces, because the basic theorems of functional ...
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Colocatedness and Lebesgue Integrability
2007With reference to Mandelkern's characterisation of colocated subsets of the line in constructive analysis, we introduce the notion of "strongly colocated set" and find conditions under which such a set is Lebesgue integrable.
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2020
To determine the area of the region below the graph of a map, what one usually does is divide the base, i.e. the interval of integration, in a suitable number of subintervals. Then for each interval we choose one of the infinitely many values that f(x) attains on it.
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To determine the area of the region below the graph of a map, what one usually does is divide the base, i.e. the interval of integration, in a suitable number of subintervals. Then for each interval we choose one of the infinitely many values that f(x) attains on it.
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2009
An excellent description of the motivation to develop the notion of the Lebesgue integral has been given by Lebesgue himself in an article, “Development of the integral concept” (1926), which appears in [71].
John J. Benedetto, Wojciech Czaja
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An excellent description of the motivation to develop the notion of the Lebesgue integral has been given by Lebesgue himself in an article, “Development of the integral concept” (1926), which appears in [71].
John J. Benedetto, Wojciech Czaja
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