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Full-Text Articles in Physical Sciences and Mathematics
Existence And Uniqueness Of V-Asymptotic Expansions And Colombeau’S Generalized Numbers, Todor D. Todorov
Existence And Uniqueness Of V-Asymptotic Expansions And Colombeau’S Generalized Numbers, Todor D. Todorov
Mathematics
We define a type of generalized asymptotic series called v-asymptotic. We show that every function with moderate growth at infinity has a v-asymptotic expansion. We also describe the set of v-asymptotic series, where a given function with moderate growth has a unique v-asymptotic expansion. As an application to random matrix theory we calculate the coefficients and establish the uniqueness of the v-asymptotic expansion of an integral with a large parameter. As another application (with significance in the non-linear theory of generalized functions) we show that every Colombeau’s generalized number has a v-asymptotic expansion. A similar …
Image Registration With Auto-Mapped Control Volumes, Dana Paquin, Eduard Schreibmann, Lei Xing
Image Registration With Auto-Mapped Control Volumes, Dana Paquin, Eduard Schreibmann, Lei Xing
Mathematics
Abstract of paper presented at the 47th Annual Meeting of the American Society for Therapeutic Radiology and Oncology.
Elemental T.G. Principles Of Relativistic T-Topos (Presheafification Of Matter, Space, And Time), Goro Kato
Elemental T.G. Principles Of Relativistic T-Topos (Presheafification Of Matter, Space, And Time), Goro Kato
Mathematics
We would like to solve the following problem: find a mathematical model formulating I) quantum entanglement, II) particle-wave duality, III) universal objects (ur-sub-Planck objects): to be defined in terms of direct or inverse limits (defined by universal mapping properties) giving microcosm behaviors of space-time so as to give the smooth macrocosm space-time, and IV) the “curved” space-time associated with particles with mass in microcosm consistent with the notion of a light cone in macrocosm. Problems I) and II) are treated in Kato G., Europhys. Lett., 68 (2004) 467. In this paper, we will focus on III) and IV). As …
On The Metamorphosis Of Vandermonde's Identity, Don Rawlings, Lawrence Sze
On The Metamorphosis Of Vandermonde's Identity, Don Rawlings, Lawrence Sze
Mathematics
No abstract provided.
The Expected Variation Of Random Bounded Integer Sequences Of Finite Length, Rudolfo Angeles, Don Rawlings, Lawrence Sze, Mark Tiefenbruck
The Expected Variation Of Random Bounded Integer Sequences Of Finite Length, Rudolfo Angeles, Don Rawlings, Lawrence Sze, Mark Tiefenbruck
Mathematics
From the enumerative generating function of an abstract adjacency statistic, we deduce the mean and variance of the variation on random permutations, rearrangements, compositions, and bounded integer sequences of finite length.