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Articles 1 - 9 of 9
Full-Text Articles in Physical Sciences and Mathematics
Toral Algebraic Sets And Function Theory On Polydisks, Jim Agler, John E. Mccarthy, Mark Stankus
Toral Algebraic Sets And Function Theory On Polydisks, Jim Agler, John E. Mccarthy, Mark Stankus
Mathematics
A toral algebraic set A is an algebraic set in Cn whose intersection with Tn is sufficiently large to determine the holomorphic functions on A. We develop the theory of these sets, and give a number of applications to function theory in several variables and operator theoretic model theory. In particular, we show that the uniqueness set for an extremal Pick problem on the bidisk is a toral algebraic set, that rational inner functions have zero sets whose irreducible components are not toral, and that the model theory for a commuting pair of contractions with finite defect …
Improving The Convergence And Computational Efficiency Of Deformable Image Registration Calculation By Incorporating Prior Knowledge, S. Kamath, Eduard Schreibmann, Doron Levy, Dana C. Paquin, Lei Xing
Improving The Convergence And Computational Efficiency Of Deformable Image Registration Calculation By Incorporating Prior Knowledge, S. Kamath, Eduard Schreibmann, Doron Levy, Dana C. Paquin, Lei Xing
Mathematics
Abstract of a paper presented at the 48th Annual Meeting of the American Society for Therapeutic Radiology and Oncology.
Multiscale Image Registration, Dana C. Paquin, Doron Levy, Lei Xing
Multiscale Image Registration, Dana C. Paquin, Doron Levy, Lei Xing
Mathematics
Abstract of paper presented at the 48th Annual Meeting of the American Society for Therapeutic Radiology and Oncology.
Double-Slit Interference And Temporal Topos, Goro Kato, Tsunefumi Tanaka
Double-Slit Interference And Temporal Topos, Goro Kato, Tsunefumi Tanaka
Mathematics
The electron double-slit interference is re-examined from the point of view of temporal topos. Temporal topos (or t-topos) is an abstract algebraic (categorical) method using the theory of sheaves. A brief introduction to t-topos is given. When the structural foundation for describing particles is based on t-topos, the particle-wave duality of electron is a natural consequence. A presheaf associated with the electron represents both particle-like and wave-like properties depending upon whether an object in the site (t-site) is specified (particle-like) or not (wave-like). It is shown that the localization of the electron at one of the slits is equivalent to …
Ricci Curvature Rigidity For Weakly Asymptotically Hyperbolic Manifolds, Vincent Bonini, Pengzi Miao, Jie Qing
Ricci Curvature Rigidity For Weakly Asymptotically Hyperbolic Manifolds, Vincent Bonini, Pengzi Miao, Jie Qing
Mathematics
A rigidity result for weakly asymptotically hyperbolic manifolds with lower bounds on Ricci curvature is proved without assuming that the manifolds are spin. The argument makes use of a quasilocal mass characterization of Euclidean balls from [9] [14] and eigenfunction compactification ideas from [12].
Lecture Notes: Non-Standard Approach To J.F. Colombeau’S Theory Of Generalized Functions, Todor D. Todorov
Lecture Notes: Non-Standard Approach To J.F. Colombeau’S Theory Of Generalized Functions, Todor D. Todorov
Mathematics
In these lecture notes we present an introduction to non-standard analysis especially written for the community of mathematicians, physicists and engineers who do research on J. F. Colombeau’ theory of new generalized functions and its applications. The main purpose of our non-standard approach to Colombeau’ theory is the improvement of the properties of the scalars of the varieties of spaces of generalized functions: in our non-standard approach the sets of scalars of the functional spaces always form algebraically closed non-archimedean Cantor complete fields. In contrast, the scalars of the functional spaces in Colombeau’s theory are rings with zero divisors. The …
Multiscale Image Registration, Dana C. Paquin, Doron Levy, Eduard Schreibmann, Lei Xing
Multiscale Image Registration, Dana C. Paquin, Doron Levy, Eduard Schreibmann, Lei Xing
Mathematics
A multiscale image registration technique is presented for the registration of medical images that contain significant levels of noise. An overview of the medical image registration problem is presented, and various registration techniques are discussed. Experiments using mean squares, normalized correlation, and mutual information optimal linear registration are presented that determine the noise levels at which registration using these techniques fails. Further experiments in which classical denoising algorithms are applied prior to registration are presented, and it is shown that registration fails in this case for significantly high levels of noise, as well. The hierarchical multiscale image decomposition of E. …
On The Reliability Of An N-Component System, Don Rawlings, Lawrence Sze
On The Reliability Of An N-Component System, Don Rawlings, Lawrence Sze
Mathematics
Under assumptions compatible with the theory of Markov chains, we use a property of Vandermonde matrices to examine the reliability of an n-component system of production or service.
On The Existence Of Infinitely Many Closed Geodesics On Orbifolds Of Revolution, Joseph Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics, D. Mark Sullivan
On The Existence Of Infinitely Many Closed Geodesics On Orbifolds Of Revolution, Joseph Borzellino, Christopher R. Jordan-Squire, Gregory C. Petrics, D. Mark Sullivan
Mathematics
Using the theory of geodesics on surfaces of revolution, we introduce the period function. We use this as our main tool in showing that any two-dimensional orbifold of revolution homeomorphic to S2 must contain an infinite number of geometrically distinct closed geodesics. Since any such orbifold of revolution can be regarded as a topological two-sphere with metric singularities, we will have extended Bangert’s theorem on the existence of infinitely many closed geodesics on any smooth Riemannian two-sphere. In addition, we give an example of a two-sphere cone-manifold of revolution which possesses a single closed geodesic, thus showing that Bangert’s result …