On the basis of synthetic lethality, five genes in Caenorhabditis elegans are known to be redundant with the mec-8 gene, which encodes a protein that contains two copies of an RNA recognition motif (RRM) and affects alternative RNA splicing. The molecular identities of two of the redundant genes, sym-1 and sym-5, were previously reported. The remaining three genes have now been cloned, and thei...

One proves that the Mazur-Ulam theorem can be extended in the framework of metric spaces as long as a well behaved concept of midpoint is available. This leads to the new concept of Mazur-Ulam space. Besides the classical case of real normed spaces, other examples such as Sym++(n,R), the space of all n × n dimensional positive definite matrices, appear as cones attached to suitable Euclidean Jo...

We introduce an anti matroid as a family F of subsets of a ground set E for which there exists an assignment of weights to the elements of E such that the greedy algorithm to compute a maximal set with respect to inclusion in F of minimumweight nds instead the unique maximal set of maximumweight We introduce a special class of anti matroids I anti matroids and show that the Asymmetric and Sym m...

The relation between BRST cohomology and the N=1 supersym-metric Yang-Mills action in 4 dimensions is discussed. In particular, it is shown that both off and on shell N=1 SYM actions are related to a lower dimensional field polynomial by solving the descent equations , which is obtained from the cohomological analysis of linearized Slavnov-Taylor operator B, in the framework of Algebraic Renorm...

Generalizations of the ∗-product (e.g. n-nary ∗n operations) appear in various places in the discussion of noncommutative gauge theories. These include the one-loop effective action of noncommutative gauge theories, the couplings between massless closed and open string modes, and the Seiberg-Witten map between the ordinary and noncommutative Yang-Mills fields. We propose that the natural way to...

An electrostatics-based approach has been proposed for probing the weak interactions between lone pair containing molecules and π deficient molecular systems. For electron-rich molecules, the negative minima in molecular electrostatic potential (MESP) topography give the location of electron localization and the MESP value at the minimum (Vmin) quantifies the electron-rich character of that reg...

We study D0-branes in type IIA on T 2 with a background B-field turned on. We calculate explicitly how the background B-field modifies the D0-brane action. The effect of the Bfield is to replace ordinary multiplication with a noncommutative product. This enables us to find the matrix model for M-theory on T 2 with a background 3-form potential along the torus and the lightlike circle. This matr...

We show that combining the spatial noncommutative SYM limit and Lorentz transformation, one can obtain a well-behaved light-like noncommutative SYM limit. The light-like noncommutative SYM is unitary. When the boost velocity is finite, the resulting theory with space-time noncommutativity is unitary as well. The light-like noncommutative SYM limit can also be approached by combining the noncomm...

Let m be a positive integer and let ? finite set. The m-closure of G ? Sym(?) is the largest permutation group G(m) on having same orbits as in its induced action Cartesian product ?m. An exact formula for wreath given. As corollary, sufficient condition obtained this to included m-closures factors.