TC( c: [ "Es gibt" , NP(det: dies, num: pl, adj: AdjP(lex: 11), lex: Veranstaltung) ] ) TC( c: [ "Es gibt" , NP(det: dies, num: pl, adj: AdjP(lex: 11), lex: Veranstaltung) ] ) TC( c: [ "Es gibt", aN(l_11: Maskottchen, a_0: bDnx(l_11: dies), a_1: bADJnx(l_111: 11), fvp: Fvp(num: pl) ) ] ) TC( c: [ "Es gibt", aN(l_11: Maskottchen, a_0: bDnx(l_11: dies), a_1: bADJnx(l_111: 11), fvp: Fvp(num: pl) )...

It is shown that every measurable partition ${A_1,..., A_k}$ of $\mathbb{R}^3$ satisfies $$\sum_{i=1}^k||\int_{A_i} xe^{-\frac12||x||_2^2}dx||_2^2\le 9\pi^2.\qquad(*)$$ Let ${P_1,P_2,P_3}$ be the partition of $\mathbb{R}^2$ into $120^\circ$ sectors centered at the origin. The bound is sharp, with equality holding if $A_i=P_i\times \mathbb{R}$ for $i\in {1,2,3}$ and $A_i=\emptyset$ for $i\in \{4...

let $g=(v, e)$ be a graph. by emph{directional labeling (ord-labeling)} of an edge $x=uv$ of $g$ by an ordered $n$-tuple$(a_1,a_2,...,a_n)$, we mean a labeling of the edge $x$ such thatwe consider the label on $uv$ as $(a_1,a_2,...,a_n)$ in thedirection from $u$ to $v$, and the label on $x$ as$(a_{n},a_{n-1},...,a_1)$ in the direction from $v$ to $u$. inthis paper, we study graphs, called emph{...

Let K be a field. Suppose that the algebraic variety is given be the set of common solutions to a system of polynomials in n variables with coefficients in K. Given a solution P=(a_1,...,a_n) of this system with coordinates in the algebraic closure of K, we associate to it an integer called the degree of P, and defined to be the degree of the extension K(a_1,dots,a_n) over K. When all coordinat...

let $a_1$, $a_2$ be unital banach algebras and $x$ be an $a_1$-$a_2$- module. applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $a_i$ into the dual space $a^*_i$ (for$i=1,2$) and such derivations  from  the triangular banach algebraof t...

Let $A_1$, $A_2$ be unital Banach algebras and $X$ be an $A_1$-$A_2$- module. Applying the concept of module maps, (inner) modulegeneralized derivations and  generalized first cohomology groups, wepresent several results concerning the relations between modulegeneralized derivations from $A_i$ into the dual space $A^*_i$ (for$i=1,2$) and such derivations  from  the triangular Banach algebraof t...

We show two asymmetric estimates, one on the number of collinear triples and other that solutions to $(a_1+a_2)(a_1^{\prime \prime }+a_2^{\prime })=(a_1^\prime +a_2^\prime )(a_1^{\prime })$. As ap

The role of triangle mechanism in the decay process $J/\psi \to K^- K^+ a_1(1260)$ is probed. In this mechanism, a close-up resonance with mass $1823$ MeV and width $122$ decays into $K^* \phi, K^* K \pi$ then \bar{K}$ fuses $a_1(1260)$ resonance. We find that leads to singularity around $M_{\rm inv}(K^- a_1(1260))\approx 1920$ MeV, where axial-vector meson considered as dynamically generated W...