A hypergraph G with n vertices and m hyperedges with d endpoints each is (k, l)-sparse if for all sub-hypergraphs G on n vertices and m edges, m ≤ kn − l. For integers k and l satisfying 0 ≤ l ≤ dk − 1, this is known to be a linearly representable matroidal family. Motivated by problems in rigidity theory, we give a new linear representation theorem for the (k, l)-sparse hypergraphs that is nat...

We discuss non-abelian SU (N c) gauge theory coupled to an adjoint chiral superfield X, and a number of fundamental chiral superfields Q i. Using duality, we show that turning on a superpotential W (X) = Tr k l=1 g l X l+1 leads to non-trivial long distance dynamics, a large number of multicritical IR fixed points and vacua, connected to each other by varying the coefficients g l .

T h e A G M p a r a d i g m is a fo rma l approach to ideal and r a t i ona l i n f o r m a t i o n change F r o m a pract ica l perspect ive i t suffers f r o m two shor tcomings , the f i rst involves d i f f i cu l t ies w i t h respect to the finite representation of i n f o r m a t i o n , and the second involves the lack of suppor t for the i tera t ion of change operators In th is paper ...

We develop a bipartite rigidity theory for bipartite graphs parallel to the classical rigidity theory for general graphs, and define for two positive integers k, l the notions of (k, l)-rigid and (k, l)-stress free bipartite graphs. This theory coincides with the study of Babson–Novik’s balanced shifting restricted to graphs. We establish bipartite analogs of the cone, contraction, deletion, an...

F o r o u r p u r p o s e , n a m e l y , t o d e v e l o p a c o n c e p t u a l n a t u r a l l a n g u a g e u n d e r s t a n d i n g s y s t e m f o r German (VIE-LANG) we used Brachman°s (Brachman 1978) outline of a semantic net to construct a conceptual knowledge base. We included ideas from a "semanti.clzsd" valence theory, a "semanticIzed" dependency ~ s m m a r , a n d l i n g u i s t...

Let G be a group and $$\ell $$ commutative unital $$*$$ -ring with an element $$\lambda \in \ell such that + \lambda ^*= 1$$ . We introduce variants of hermitian bivariant K-theory for -algebras equipped G-action or G-grading. For any graph E finitely many vertices weight function $$\omega :E^1 \rightarrow G$$ , distinguished triangle $$L(E)=L_\ell (E)$$ in the G-graded category $$kk^h_{G_{{\te...

A generalised tensor product G 0 H of groups G, H has been introduced by R. Brown and J.-L. Loday in [3,4]. It arises in applications in homotopy theory of a generalised Van Kampen theorem. The reason why G 0 H does not necessarily reduce to GUh Oz Huh, the usual tensor product over Z of the abelianisations, is that it is assumed that G acts on H (on the left) and H acts on G (on the left), and...

The discovery in the late 1960's that standard linguistic theory (of Chomsky's Aspects) was equivalent in generative power to unrestricted rewrite rules caused linguists to search for a "stronger linguistic metatheory". It seemed to some of these researchers that this meant describing linguistic theory by means of rules which were more restricted than type 0 languages. Such a view we call the L...