Results 31 to 40 of about 193,838 (164)
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
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First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, EarlyView.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
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SECOND REPORT OF COMMITTEE OF MATHEMATICS SECTION OF CENTRAL ASSOCIATION OF SCIENCE AND MATHEMATICS TEACHERS ON REAL APPLIED PROBLEMS IN ALGEBRA AND GEOMETRY [PDF]
School Science and Mathematics, 1910 n ...
Millis, James F. +4 more
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Communications on Pure and Applied Mathematics, EarlyView.Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
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ELECTROPHORESIS, EarlyView.ABSTRACT The first patent to describe dielectrophoresis (DEP) as a means and process to separate particles from a mixture was granted by the US Patent Office to Henry Stafford Hatfield in 1924. The novel methods of sample preparation and designs of electrode geometry covered by the patent's disclosures and claims describe the basis for most present‐day
Ronald Pethig
wiley +1 more source
Mathematical Morphology: A Modern Approach in Image Processing Based on Algebra and Geometry [PDF]
SIAM Review, 1995 Mathematical morphology is a theory of image transformations and image functionals which is based on set-theoretical, geometrical, and topological concepts. The methodology is particularly useful for the analysis of the geometrical structure in an image.
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eCherry: A Modelica Library for Modular Dynamic Modelling of Electrochemical Reactors
Electrochemical Science Advances, EarlyView.ABSTRACT Electrochemical reactors offer promising pathways for defossilizing the chemical industry. To understand the operation as well as to evaluate and optimise their performance and efficiency, modelling presents a crucial tool. Currently, no comprehensive open‐source library for dynamic modelling of electrochemical reactors exists, and instead ...
Jan F. Pyschik +8 more
wiley +1 more source
Ibadan Lectures on Toric Varieties
, 2017 Toric varieties are perhaps the most accessible class of algebraic varieties. They often arise as varieties parameterized by monomials, and their structure may be completely understood through objects from geometric combinatorics.
Sottile, Frank
core
Energy Science &Engineering, EarlyView.ABSTRACT This study investigates double‐diffusive transport and entropy generation in a wavy cylindrical enclosure containing Cu─H2O Casson nanofluid under magnetic field and thermal radiation effects. The governing equations were solved numerically using the finite element method with Galerkin formulation.
Mohammed Azeez Alomari +6 more
wiley +1 more source
Algebraic geometry over Lie algebras [PDF]
, 2007 This is a survey paper on Alegbraic Geometry over Lie ...
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