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The aim of this study is three-fold: (i) to present a general higher-order shell theory to analyze large deformations of thin or thick shell structures made of general compressible hyperelastic materials; (ii) to utilize the orthonormal or…

Numerical Analysis · Mathematics 2020-06-30 Archana Arbind , J N Reddy , A R Srinivasa

We use the exact scattering description of the scaling Ashkin-Teller model in two dimensions to compute the two-particle form factors of the relevant operators. These provide an approximation for the correlation functions whose accuracy is…

High Energy Physics - Theory · Physics 2009-10-31 G. Delfino

The surface reconstruction problem from sets of planar parallel slices representing cross sections through 3D objects is presented. The final result of surface reconstruction is always based on the correct estimation of the structure of the…

Graphics · Computer Science 2023-01-05 Radek Svitak , Vaclav Skala

We identify the maximal chiral algebra of conformal cyclic orbifolds. In terms of this extended algebra, the orbifold is a rational and diagonal conformal field theory, provided the mother theory itself is also rational and diagonal. The…

High Energy Physics - Theory · Physics 2023-11-07 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

A general method for analytic inversion of geometric integral transforms is proposed

Differential Geometry · Mathematics 2011-09-27 Victor Palamodov

In previous work, the first author developed an algorithm for the computation of Hilbert modular forms. In this paper, we extend this to all totally real number fields of even degree and nontrivial class group. Using the algorithm over…

Number Theory · Mathematics 2007-11-27 Lassina Dembele , Steve Donnelly

We present a MATLAB/Octave toolbox to decompose finite dimensionial representations of compact groups. Surprisingly, little information about the group and the representation is needed to perform that task. We discuss applications to…

Quantum Physics · Physics 2021-03-31 Denis Rosset , Felipe Montealegre-Mora , Jean-Daniel Bancal

We consider the offset-deconstruction problem: Given a polygonal shape Q with n vertices, can it be expressed, up to a tolerance \eps in Hausdorff distance, as the Minkowski sum of another polygonal shape P with a disk of fixed radius? If…

Computational Geometry · Computer Science 2011-09-13 Eric Berberich , Dan Halperin , Michael Kerber , Roza Pogalnikova

In this article we use the modular decomposition technique for exact solving the weighted maximum clique problem. Our algorithm takes the modular decomposition tree from the paper of Tedder et. al. and finds solution recursively. Also, we…

Data Structures and Algorithms · Computer Science 2017-10-12 Irina Utkina

We introduce a new criterion which tests if a given decomposition of a given ternary form $T$ of even degree is unique. The criterion is based on the analysis of the Hilbert function of the projective set of points $Z$ associated to the…

Algebraic Geometry · Mathematics 2020-07-21 Andrea Mazzon

The choice of unfolding method for a cross-section measurement is tightly coupled to the model dependence of the efficiency correction and the overall impact of cross-section modeling uncertainties in the analysis. A key issue is the…

Data Analysis, Statistics and Probability · Physics 2025-07-14 Roger G. Huang , Andrew Cudd , Masaki Kawaue , Tatsuya Kikawa , Benjamin Nachman , Vinicius Mikuni , Callum Wilkinson

One of the questions investigated in deformation theory is to determine to which algebras can a given associative algebra be deformed. In this paper we investigate a different but related question, namely: for a given associative…

Algebraic Geometry · Mathematics 2023-05-08 Dave Bowman , Dora Puljic , Agata Smoktunowicz

We investigate the ability of a local bi-orthogonal decomposition to build texture segmentation of images. Using the structures associated to the local decomposition of the image independent row and columns we perform a segmentation, where…

chao-dyn · Physics 2008-02-03 J. A. Dente , R. Vilela Mendes , R. Lima

We extend the linear {\pi}-calculus with composite regular types in such a way that data containing linear values can be shared among several processes, if there is no overlapping access to such values. We describe a type reconstruction…

Programming Languages · Computer Science 2019-03-14 Luca Padovani

A complete description of the deformation classes of real ruled manifolds is given. In particular, we prove that once the complex deformation class is fixed, the real deformation class is prescribed by the topology of the real structure.

Algebraic Geometry · Mathematics 2007-05-23 Jean-Yves Welschinger

We study primary submodules and primary decompositions from a differential and computational point of view. Our main theoretical contribution is a general structure theory and a representation theorem for primary submodules of an arbitrary…

Commutative Algebra · Mathematics 2022-02-15 Justin Chen , Yairon Cid-Ruiz

We introduce a generalized framework for studying higher-order versions of the multiscale method known as Localized Orthogonal Decomposition. Through a suitable reformulation, we are able to accommodate both conforming and nonconforming…

Numerical Analysis · Mathematics 2025-06-25 Moritz Hauck , Alexei Lozinski , Roland Maier

This paper introduces a notion of decompositions of integral varifolds into countably many integral varifolds, and the existence of such decomposition of integral varifolds whose first variation is representable by integration is…

Differential Geometry · Mathematics 2023-07-26 Hsin-Chuang Chou

A general model for geometric structures on differentiable manifolds is obtained by deforming infinitesimal symmetries. Specifically, this model consists of a Lie algebroid, equipped with an affine connection compatible with the Lie…

Differential Geometry · Mathematics 2012-03-07 Anthony D. Blaom

The computation of tunes and matched beam distributions are essential steps in the analysis of circular accelerators. If certain symmetries - like midplane symmetrie - are present, then it is possible to treat the betatron motion in the…

Mathematical Physics · Physics 2013-07-17 Christian Baumgarten
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