We show that the Faddeev-Pyatov SL q (N) differential algebra [1] is a subalgebra of the GL q (N) differential algebra constructed by Schupp, Watts and Zumino [2]. In the paper [1], the bicovariant differential algebra on SL q (N) (see below (10), (11)) with generators {T ij , L ij , ˜ Ω ij } i, j = 1,. .. N has been constructed. The elements T ij are generators of the algebra F un(SL q (N)), w...

We quantize the interaction of gravity with Yang-Mills and spinor fields, hence offering a quantum theory incorporating all four fundamental forces nature. Let us\ann{as} abbreviate spatial Hamilton functions Standard Model by $H_{SM}$ function $H_G$. Working in fiber bundle $E$ base space $\socc=\R[n]$, where elements are Riemannian metrics, we can express form $H_G+H_{SM}=H_G+t^{-\frac23}\til...

We consider a square matrix Aǫ whose entries have asymptotics of the form (Aǫ) ij = a ij ǫ A ij + o(ǫ A ij) when ǫ goes to 0, for some complex coefficients a ij and real exponents A ij. We look for asymptotics of the same type for the eigenvalues of Aǫ. We show that the sequence of exponents of the eigenvalues of Aǫ is weakly (super) majorized by the sequence of corners of the min-plus characte...

The annihilating-ideal graph of a commutative ring $R$ is denoted by $AG(R)$, whose vertices are all nonzero ideals of $R$ with nonzero annihilators and two distinct vertices $I$ and $J$ are adjacent if and only if $IJ=0$. In this article, we completely characterize rings $R$ when $gr(AG(R))neq 3$.

Transportation networks play a vital role in modern societies. Structural optimization of a transportation system under a given set of constraints is an issue of great practical importance. For a general transportation system whose total cost C is determined by C = Sigma(i<j)C(ij)(I(ij)), with C(ij) (I(ij)) being the cost of the flow I(ij) between node i and node j, Banavar and co-workers [Phys...

If £ is a class of groups then sD and q£ denote the classes of all groups isomorphic to, respectively, subgroups and factor groups of groups in £ • If G is a group, an element of QS{G} will be called a eeotion of G . A class I) is called eeation closed if QSD = I) and, as is well-known, for any class I) , QSI) is section closed. For basic facts and terminology relating to varieties of groups we...

The accurate prediction of physicochemical properties chemical compounds in mixtures (such as the activity coefficient at infinite dilution $\gamma_{ij}^\infty$) is essential for developing novel and more sustainable processes. In this work, we analyze performance previously-proposed GNN-based models $\gamma_{ij}^\infty$, compare them with several mechanistic a series 9 isothermal studies. More...

Consider a N × n random matrix Yn = (Y n ij ) where the entries are given by Y n ij = σ(i/N,j/n) √ n X ij , the X n ij being centered i.i.d. and σ : [0, 1] 2 → (0,∞) being a continuous function called a variance profile. Consider now a deterministic N×n matrix Λn = ( Λij ) whose non diagonal elements are zero. Denote by Σn the non-centered matrix Yn+Λn. Then under the assumption that limn→∞ N n...

OBJECTIVES To determine the spectrum of mutations in the Mediterranean fever gene (MEFV) of Iranian Jews with familial Mediterranean fever (FMF) and to analyse their clinical manifestations. METHODS FMF patients with both parents of Iranian-Jewish (IJ) extraction or with one IJ parent (IJ-other, 10 of each) were characterized for clinical manifestations, and the B30.2 (PRYSPRY) domain of thei...

The non-linear relation between electric polarization and electric field strength is achieved through introducing the retarded electromagnetic interactions between classical charge particles. The result agrees with the phenomenological theory in current non-linear optics, means that the non-linear phenomena in optics come from the retarded electromagnetic interaction between charged particles. ...