而相应地，如果规定\mathcal N(w)对于 superset 封闭，我们可以将条件砍弱：\mathfrak M,w\models\B...
Biacino, L., Gerla, G.: An extension principle for closure operators. Journal of Mathematical Analysis and Appl. 198 (1996) 1-24L. Biacino and G. Gerla, ``An extension principle for closure operators,'' J. Math. Anal. Appl. 74, 432᎐440 Z1996.....
please contact support so we can address the problem. use our pre-submission checklist avoid common mistakes on your manuscript. 1 introduction nematic liquid crystal is a state of matter that has properties which are between amorphous
We rely on the following closure property which is a convenient tool to identify the weak limit of a sequence in \mathcal {H}_{i}(\Omega ) : Lemma 7.4 Let (v_{n})_{n \in {\mathbb N}} be a sequence in \mathcal {H}_{i}(\Omega ). If v_{n} \rightarrow v almost everywh...
"One explanation for linguistic change is theprinciple of least effort. According to this principle, language changes because speakers are 'sloppy' and simplify their speech in various ways. Accordingly,abbreviatedforms likemathformathematicsandplaneforairplanearise.Going tobecomesgonnabecause the latter ha...
In fact it is the smallest genus example of such a curve. Given a curve C over a field k, we say that a curve C′/k is a twist of C if over an algebraic closure k¯ of k the curves C and C′ are isomorphic. Geometrically speaking both curves are equal, however they may ...
Then for all n, we have an inclusion ${mathfrak a}^{(hn)} subset {mathfrak a}^n$, where the first ideal denotes the hnth symbolic power of $mathfrak a$. In prime characteristic, this result admits an easy tight closure proof due to Hochster and Huneke. In this paper, the ...
. On the other hand, Moret-Bailly extended widely the theorem ofRumely in [7], giving a lot of examples of rings satisfying the LGPH but not this additionalcondition. The integral closure ofZ(the ring of integers) inQp, which we note~ZXQp,isan example of such a ring.Prestel and ...
principle (LDP) with rate function I:X⟶[0,∞], if for every measurable subset R of X, we have−infI(x)x∈R∘≤liminfn→∞1nlogP(Zn∈R)≤limsupn→∞1nlogP(Zn∈R)≤−infI(x)x∈R‾ where, R∘ denotes the interior and R‾ the closure of R. ...
Let us give some notations and terminology used in the following. In a topological vector spaceE,\({\mathcal{{F}}} (E)\)is the set of all finite-dimensional subspaces ofE, ordered by inclusion. ConvXand clXorX̅denote the convex hull and the topological closure of a subsetXofE, res...