Results 271 to 280 of about 230,507 (313)
Biophysical Reviews, 2021 Computer simulations are used for identifying the secondary structure properties of ordered and disordered proteins. However, our recent studies showed that the chosen computer simulation protocol, simulation technique, and force field parameter set for ...
Orkid Coskuner-Weber
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ACM Transactions on Graphics, 2022
We introduce a framework for representing face-based directional fields of an arbitrary piecewise-polynomial order. Our framework is based on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-polynomial conforming function, and the coexact component is defined as the adjoint of a dimensionally ...
Iwan Boksebeld, Amir Vaxman
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We introduce a framework for representing face-based directional fields of an arbitrary piecewise-polynomial order. Our framework is based on a primal-dual decomposition of fields, where the exact component of a field is the gradient of piecewise-polynomial conforming function, and the coexact component is defined as the adjoint of a dimensionally ...
Iwan Boksebeld, Amir Vaxman
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The Order of Inseparability of Fields
Canadian Journal of Mathematics, 1979Let L be a finitely generated field extension of a field K of characteristic p ≠ 0. By Zorn's Lemma there exist maximal separable extensions of K in L and L is finite dimensional purely inseparable over any such field. If ps is the smallest of the dimensions of L over such maximal separable extensions of K in L, then s is Wiel's order of inseparability
Deveney, James K., Mordeson, John N.
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Absolute Convergence in Ordered Fields
The American Mathematical Monthly, 2014We explore the distinction between convergence and absolute convergence of se- ries in both Archimedean and non-Archimedean ordered fields and find that the relationship between them is closely connected to sequential (Cauchy) completeness.
Pete L. Clark, Niels J. Diepeveen
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1996
Abstract In the previous chapter, we gave a certain development for ordered sets and ordered groups. In this chapter, we shall add another layer of structure, and we shall discuss ordered fields. In many ways, our development will follow the earlier story, but naturally at a few points we shall have to work a little harder to take ...
H Garth Dales, W Hugh Woodin
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Abstract In the previous chapter, we gave a certain development for ordered sets and ordered groups. In this chapter, we shall add another layer of structure, and we shall discuss ordered fields. In many ways, our development will follow the earlier story, but naturally at a few points we shall have to work a little harder to take ...
H Garth Dales, W Hugh Woodin
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Fields with two linear orderings
Mathematical Notes of the Academy of Sciences of the USSR, 1970We characterize fields which are maximal with respect to the property of having two different linear orderings. The Galois group of the algebraic closure of a maximal field is described. An example of non-uniqueness of the maximal extension is mentioned.
Bredikhin, S. V. +2 more
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Computable dimension for ordered fields
Archive for Mathematical Logic, 2016It is a natural question to ask whether the various effective presentations of a computable structure are somewhat equivalent. This can be phrased in terms of computable dimension: the computable dimension of a computable structure is the number of distinct computable presentations of the structure, up to computable isomorphism.
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