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In this paper, we derive the extended magnetohydrodynamic models based on the moment closure of the Vlasov-Maxwell equation. We adopt the Grad type moment expansion which was firstly proposed in [12...
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
Abstract: We develop an algorithm for computing the closure of a given nilpotent $G_0$-orbit in $\g_1$, where $\g_1$ and $G_0$ are coming from a $\Z$ or a $\Z/m\Z$-grading $\g= \bigoplus \g_i$ of a si...
It is shown that a group defined by forbidding all patterns of size s + 1 that do not appear in a given self-simialr group of tree automorphisms is the topological closure of a self-similar, countable...
In this paper we prove that any distance-balanced graph G with (G)  |V (G)| − 3 is regular. Also we define notion of distance-balanced closure of a graph and we find distance- balanced closur...
In 2007, B. Poonen (unpublished) studied the p{adic closure of a subgroup of rational points on a commutative algebraic group. More recently, J. Bellache asked the same question for the special case...
Let k be a field of positive characteristic and K = k(V ) a function field of a variety V over k and let AK be a ring of ad´eles of K with respect to a cofinite set of the places on K correspond...
Product closure of some second-order modal logics     some second-order modal logics  math       font style='font-size:12px;'> 2010/11/24
Product update is an operation on models introduced into epistemic logic in order to represent a broad class of informational events. If adding modalities representing product update to a language do...
The closure of a sheet is not always a union of sheets     union of sheets  math       font style='font-size:12px;'> 2010/11/24
In this note we answer to a frequently asked question. If G is an algebraic group acting on a variety V, a G-sheet of V is an irreducible component of V^(m), the set of elements of V whose G-orbit ha...
On the Chvatal-Gomory Closure of a Compact Convex S     the Chvatal-Gomory  Compact Convex S       font style='font-size:12px;'> 2010/11/12
In this paper, we show that the Chvatal-Gomory closure of a compact convex set is a rational polytope. This resolves an open question discussed in Schrijver [Schrijver 80'] and generalizes the same r...
An Algorithm for Computing the Ratliff-Rush Closure      Algorithm  Computing the Ratliff-Rush Closure        font style='font-size:12px;'> 2010/11/30
Let I ⊂ K[x, y] be a hx, yi-primary monomial ideal where K is a field. This paper produces an algorithm for computing the Ratliff-Rush closure eI for the ideal I =hm0, . . . ,mni whenever mi is ...
Starting from [1] we compute the Groebner basis for the defining ideal,P, of the monomial curves that correspond to arithmetic sequences, and then give an elegant description of the generators of powe...
In this note we present some remarks on big Cohen-Macaulay algebras.Our methods for doing this are inspired by the notion of dagger closure and by ideas of Northcott on dropping of the Noetherian assu...
The Barrier Cone of a Convex Set and the Closure of the Cover      convex set  barrier cone  recession cone  cover  polar cone       font style='font-size:12px;'> 2009/1/22
For an arbitrary non-empty closed convex set $A$ in $\mathbb{R}^n$, we prove that the polar of the difference between the barrier cone $\mathbb{B}(A)$ and its interior $\text{int } \mathbb{B} (A)$ co...
We study modules M over a general ring R such that every submodule has a unique closure with respect to a hereditary torsion theory t on Mod-R using the fact that the module M satisfies a certain tran...

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