Results 31 to 40 of about 2,304,071 (294)

A space for inflections: following up on JMM's special issue on mathematical theories of voice leading [PDF]

open access: yes, 2013
Journal of Mathematics and Music's recent special issue 7(2) reveals substantial common ground between mathematical theories of harmony advanced by Tymoczko, Hook, Plotkin, and Douthett.
Yust, Jason
core   +1 more source

Oscillation Properties of Scalar Conservation Laws [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2017
We obtain several new regularity results for solutions of scalar conservation laws satisfying the genuine nonlinearity condition. We prove that the solutions are continuous outside of the jump set, which is codimension one rectifiable.
L. Silvestre
semanticscholar   +1 more source

A Splitting Theorem for Scalar Curvature [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2018
We show that a Riemannian 3‐manifold with nonnegative scalar curvature is flat if it contains an area‐minimizing cylinder. This scalar‐curvature analogue of the classical splitting theorem of J. Cheeger and D. Gromoll (1971) was conjectured by D. Fischer‐
Otis Chodosh, M. Eichmair, Vlad Moraru
semanticscholar   +1 more source

Aperture referral in dioptric systems with stigmatic elements

open access: yesAfrican Vision and Eye Health, 2012
A previous paper develops the general theory of aperture referral in linear optics and shows how several ostensibly distinct concepts, including the blur patch on the retina, the effective corneal patch, the projective field and the field of view, are ...
W. F. Harris
doaj   +1 more source

Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds [PDF]

open access: yesCommunications on Pure and Applied Mathematics, 2016
Let (M, g) be an asymptotically flat Riemannian 3‐manifold with nonnegative scalar curvature and positive mass. We show that each leaf of the canonical foliation of the end of (M, g) through stable constant mean curvature spheres encloses more volume ...
Otis Chodosh   +3 more
semanticscholar   +1 more source

Spacetime Paths as a Whole

open access: yesQuantum Reports, 2020
The mathematical similarities between non-relativistic wavefunction propagation in quantum mechanics and image propagation in scalar diffraction theory are used to develop a novel understanding of time and paths through spacetime as a whole.
Sky Nelson-Isaacs
doaj   +1 more source

"Shadowy"modes in Higher-Order Scalar-Tensor theories [PDF]

open access: yes, 2018
Antonio De Felice,1 David Langlois,2 Shinji Mukohyama,1, 3, 4 Karim Noui,4, 2 and Anzhong Wang5, 6 Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Kyoto, Japan Laboratoire Astroparticule et ...
A. D. Felice   +4 more
semanticscholar   +1 more source

Global existence of the self-interacting scalar field in the de Sitter universe [PDF]

open access: yesJournal of Mathematics and Physics, 2017
We present some sufficient conditions for the global in time existence of solutions of the semilinear Klein-Gordon equation of the self-interacting scalar field with complex mass. The coefficients of the equation depend on spatial variables as well, that
K. Yagdjian
semanticscholar   +1 more source

Measurement of job motivation in TEDS-M: testing for invariance across countries and cultures

open access: yesLarge-scale Assessments in Education, 2016
The paper presents the challenges of cross-country and cross-cultural research on the motivation to become a mathematics teacher based on data from the “Teacher Education and Development Study in Mathematics (TEDS-M)”.
Christin Laschke, Sigrid Blömeke
doaj   +1 more source

Riccati equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
In this paper we find closed form solutions of some Riccati equations. Attention is restricted to the scalar as opposed to the matrix case. However, the ones considered have important applications to mathematics and the sciences, mostly in the form of ...
Lloyd K. Williams
doaj   +1 more source

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