protein in vitro and also with body constituents in vivo. They assumed that allicin was not chemically bound with the SH groups of protein, but it was additionally bound forming a complex. Allicin was not liberated from the "com plex" by washing with water or saturated ammonium sulfate solution, but could be easily separated by extracting with ethanol in which allicin is easily soluble. When pr...

Thin layers derived from t he matrix are produced in the frac ture plane of son1(' pol \'1llC'rs prior to ultimate failure. A certain amount of t he evidence would indicate t hat these iayC'rs consist of an oriented array of molecules. Fracture isolates t hese molecular segmen ts 'i n a t hin filtn with physical properties differing from tha t of t he matrix in "\\'hi c h they origillatC'cI. Th...

although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

In this article we consider asymptotics for the spectral function of Schrödinger operators on real line. Let $P\\colon L^2(\\mathbb{R})\\to L^2(\\mathbb{R})$ have form $$ P:=-\\frac{d^2}{dx^2}+W, where $W$ is a self-adjoint first order differential operator with certain modified almost periodic structure. We show that kernel projector, $\\mathbf{1}{(-\\infty,\\lambda^2]}(P)$ has full asymptotic...

As highly discriminant distance-based topological indices, the Balaban index and the sum-Balaban index of a graph $G$ are defined as $J(G)=frac{m}{mu+1}sumlimits_{uvin E} frac{1}{sqrt{D_{G}(u)D_{G}(v)}}$ and $SJ(G)=frac{m}{mu+1}sumlimits_{uvin E} frac{1}{sqrt{D_{G}(u)+D_{G}(v)}}$, respectively, where $D_{G}(u)=sumlimits_{vin V}d(u,v)$ is the distance sum of vertex $u$ in $G$, $m$ is the n...

in cite{p}, park introduced the quadratic $rho$-functional inequalitiesbegin{eqnarray}&& |f(x+y)+f(x-y)-2f(x)-2f(y)| && qquad le  left|rholeft(2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}right)- f(x) -  f(y)right)right|,  nonumberend{eqnarray}where $rho$ is a fixed complex number with $|rho|andbegin{eqnarray}&& left|2 fleft(frac{x+y}{2}right) + 2 fleft(frac{x-y}{2}r...

let $gamma(s_n)$ be the minimum number of proper subgroups‎ ‎$h_i, i=1‎, ‎dots‎, ‎l $ of the symmetric group $s_n$ such that each element in $s_n$‎ ‎lies in some conjugate of one of the $h_i.$ in this paper we‎ ‎conjecture that $$gamma(s_n)=frac{n}{2}left(1-frac{1}{p_1}right)‎ ‎left(1-frac{1}{p_2}right)+2,$$ where $p_1,p_2$ are the two smallest primes‎ ‎in the factorization of $ninmathbb{n}$ an...