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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 342 for “"INTEGRALS"”.
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Martingale Integrals
Made available in DSpace on 2014-12-09T22:17:39Z (GMT). No. of bitstreams: 1 6801809.pdf: 1503087 bytes, checksum: 245bdef728296109a7b68790fcb8a353 (MD5) Previous issue date: 1967
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Definite integrals
Thesis (B.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1937.
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Cauchy Extensions of Integrals
This paper presents some ideas on a different approach to the teaching of integral calculus. The method presented here, though simple in nature, requires little alteration when new topics such as probability and series are developed.
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Path integrals on ultrametric spaces
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1994.
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Combinatorial structures of hyperelliptic Hodge integrals
… structures that underlie hyperelliptic Hodge integrals. In order to compute hyperelliptic Hodge integrals, we use Atiyah-Bott (torus) localization on a stack of stable maps to [P1/Z2] = P1 × BZ2. The dissertation culminates in two results: a closed-form expression for hyperelliptic Hodge …
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ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
… a generalization to two existing fractional integrals and derivatives, namely, the Riemann-Liouville and Hadamard fractional operators. The existence and uniqueness results for single term fractional differential equations (FDE) have also been established. We also obtain the Mellin transforms …
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Martingales, Singular Integrals, and Fourier Multipliers
… 1 < <em>p</em> < ∞, of singular integrals and Fourier multipliers. We will use a combination of analytic and probabilistic methods to study analytic properties of these constructions and obtain results which cannot be obtained using probability alone.</p> <p>In particular, we will …
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Group integrals in chaotic quantum systems
… derive a recursion formula for a class of group integrals both in ordinary space and in superspace. These group integrals represent the generalization of Bessel functions to matrix and supermatrix spaces. Thereby we derive exact expressions for the one and two--point eigenvalue correlator of a …
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On Different Parametrizations of Feynman Integrals
… on the mathematical structures of Feynman integrals.</p> <p>We start by presenting phenomenological calculations relevant for the experimental analyses at the Large Hadron Collider. We use the resummation of soft gluon emission corrections to study the associated production of a top pair …
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Fourier Inversion Formulas of Orbital Integrals
Made available in DSpace on 2014-12-14T13:09:31Z (GMT). No. of bitstreams: 1 7708928.pdf: 2084430 bytes, checksum: 6d6d50df8f6ed57770558805318d280b (MD5) Previous issue date: 1976
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Nonstandard vector integrals and vector measures
We describe an extension of the Bochner integral. Bochner integrable functions can be approximated by simple functions. Using Nonstandard Analysis, we investigate internal simple functions from an internal measure space to the nonstandard extension of a Banach space. We take suitable equivalence …
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Path integrals and the quantum Routhian
In this thesis, we consider the use of the Routhian in quantum mechanics, which is an object halfway between a Lagrangian and a Hamiltonian expressing the dynamics of a system in terms of conserved momentum and non-cyclic coordinates. Starting from the phase space path integral, we derive an …
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The experimental evaluation of definite integrals
… integration methods. In the case of single integrals, the Newton-Cotes formulae can be applied directly to experimentally determined ordinates at equally-spaced abscissa points and are of great practical importance. Gauss’ formulae yield maximum efficiency with respect to controlling the …
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Feynman integrals, hypergeometric functions and nested sums
… of some single-mass-scale four-loop vacuum integrals in 3 and 4 dimensions. After finding hypergeometric representations with half-integer coefficients, we use algorithms which we implemented in FORM to expand these in terms of nested sums.
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Relations between two classes of singular integrals
… heat equation and gave another class of singular integrals. In this thesis it is shown that a special case of Jones's kernel is of Calderon-Zygmund type and a real, even kernel considered in [2] is a kernel of Jones's type if the coordinate system is suitably chosen. Moreover, for such kernels, …
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Evaluation of definate integrals by symbolic manipulation,
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1971.
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