The ren o v a tio n o f LaFortune S tu­ d e n t C e n te r c o n tin u e s to m ake p ro g ress and is sc h ed u led to be co m p le te d by S ep tem b er o f 1986, a cc o rd in g to Don D edrick, d ire c to r o f th e physical plant. T he p ro jec t is o n sch ed u le , said D edrick, and th e co m in g o f w in te r sh o u ld no t affect th e c o m p le tio n date. In th e n ex t severa l m o...

Glucopyranosylidene-spiro-1,4,2-oxathiazoles were prepared in high yields by NBS-mediated spiro-cyclization of the corresponding glucosyl-hydroximothioates. In an effort to synthesize analogous glucopyranosylidene-spiro-1,2,4-oxadiazolines, with a nitrogen atom instead of the sulphur, attempted cyclizations resulted in aromatization of the heterocycle with opening of the pyranosyl ring. Enzymat...

This paper provides the duality structure of the optimal two-block H∞ problem. The dual description leads naturally to a numerical solution based on convex programming for LTI (including infinite dimensional) systems. Alignment conditions are obtained and show that the optimal solution is flat in general, and unique in the SISO case. It is also proved that under specific conditions a wellknown ...

the probability that the commutator of two group elements is equal to a given element has been introduced in literature few years ago. several authors have investigated this notion with methods of the representation theory and with combinatorial techniques. here we illustrate that a wider context may be considered and show some structural restrictions on the group.

In this paper we study prime graphs of finite groups. The graph a group $G$, also known as the Gruenberg-Kegel graph, is with vertex set {primes dividing $|G|$} and an edge $p$-$q$ if only there exists element order $pq$ in $G$. theory, studying has been important topic for past almost half century. Only recently solvable groups have characterized theoretical terms only. paper, continue line re...

Maldacena and Nunez [hep-th/0008001] identified a gravity solution describing pureN = 1 Yang-Mills (YM) in the IR. Their (smooth) supergravity solution exhibits confinement and the U(1)R chiral symmetry breaking of the dual YM theory, while the singular solution corresponds to the gauge theory phase with unbroken U(1)R chiral symmetry. In this paper we discuss supersymmetric type IIB compactifi...

Let X be a simplicial complex with the ground set V . Define its Alexander dual as a simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V |−i−3)th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof.

Let X be a simplicial complex with the ground set V . Define its Alexander dual as a simplicial complex X∗ = {σ ⊆ V | V \ σ / ∈ X}. The combinatorial Alexander duality states that the i-th reduced homology group of X is isomorphic to the (|V |−i−3)th reduced cohomology group of X∗ (over a given commutative ring R). We give a selfcontained proof.