Results 51 to 60 of about 2,645,036 (193)
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley +1 more source
Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Abstract In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds. Also, in support of our definition, we provide a couple of examples.
Lone Mohamd Saleem +3 more
openaire +2 more sources
Isotopy and equivalence of knots in 3‐manifolds
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto +4 more
wiley +1 more source
Report on Statistical Disclosure Limitation Methodology [PDF]
Originally Prepared by Subcommittee on Disclosure Limitation Methodology 1994; Revised by Confidentiality and Data Access Committee 2005The Federal Committee on Statistical Methodology (FCSM) was organized by the Office of Management and Budget (OMB) in ...
United States. Federal Committee on Statistical Methodology
core +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Statistical Policy Working Paper 6. Report on Statistical Uses of Administrative Records [PDF]
The first portion of this report provides a review of major administrative report files pertaining to individuals and to businesses. Major statistical uses of administrative records are outlined, including: (1) direct use of the records to obtain ...
United States. Federal Committee on Statistical Methodology
core +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Report on Women\u27s Day Celebration at Indian Statistical Institute 2022
International Women’s day is being celebrated every year to commemorate the cultural, political, and socioeconomic achievements of women; to celebrate womanhood while paying tribute to the indomitable spirit of women.
Indian Statistical Institute
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Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source

