BASIS (Linear algebra)FUNCTIONAL analysisLINEAR algebraLet V be a vector space with a well-ordered basis and 3 be a family of subspaces of V closed under intersections. An analog of the Groebner basis is defined for subspaces from 3. It is shown that in the Noetherian case, such a basis...
Most results on the structure of lattice-ordered fields require that the field have a positive multiplicative identity. We construct a functor from the category of lattice-ordered fields with a vector space basis of d -elements to the full subcategory of such fields with positive multiplicative id...
If C is a class of order types, then a basis for C is a set \(B \subseteq C\) such that ( ψ∈ C) ( ∈ B) ≤ψ. The theory of the class of countable order types is really quite nice. It follows from Ramsey's Theorem that {ω, ω*} is a basis. The type η of ...
& Herz, A. V. M. Connecting multiple spatial scales to decode the population activity of grid cells. Sci. Adv. 1, e1500816 (2015). Article ADS PubMed PubMed Central Google Scholar Sarel, A., Finkelstein, A., Las, L. & Ulanovsky, N. Vectorial representation of spatial goals in ...
vovaspace/brandi - The dependency injection container powered by TypeScript. tsedio/tsed - 📐 Ts.ED is a Node.js and TypeScript framework on top of Express to write your application with TypeScript (or ES6). It provides a lot of decorators and guideline to make your code more readable...
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Wessely, “The quantum-mechanical basis of an extended Landau–Lifshitz–Gilbert equation for a current-carrying ferromagnetic wire” J. Phys.: Condens. ... DM Edwards,O Wessely - 《Journal of Physics Condensed Matter》 被引量: 0发表: 2009年 Multiferroic and Magnetoelectric Materials A ferromagn...
The cone P in A(K) has the additional feature of having a nonempty interior. It is shown that a linear space with an appropriately defined order unit can be made into a (normed) order unit space. This provides a strictly order-theoretic characterization of A(K) spaces. It is assumed ...
Probing the periodic lattice deformation in the reciprocal space. (a) Rock-salt type crystal structure of CoO. (b) HR-TEM image of CoO showing the interface with the sapphire substrate. The inset image shows a large-scale bright-field image of the CoO thin film. (c) EDP showing the crys...
form a directed trapezium w.r.t. w, y and u = v, then u 1 , v 1 and u 2 , v 2 form a directed trapezium w.r.t. w, y. (22) If w, y span the space, then there exists a vector t of V such that u, v and u 1 , t form a directed trapezium w.r.t. w, y or...