Motivated by a spectral analysis of the generator completely positive trace-preserving semigroup, we analyze real functionalA,B∈Mn(C)→r(A,B)=12(〈[B,A],BA〉+〈[B,A⁎],BA⁎〉)∈R where 〈A,B〉:=tr(A⁎B) is Hilbert-Schmidt inner product, and [A,B]:=AB−BA commutator. In particular discuss upper lower bounds form c−‖A‖2‖B‖2≤r(A,B)≤c+‖A‖2‖B‖2 ‖A‖ Frobenius norm. We prove that optimal are given c±=1±22. If A r...

‎let $x$ be a real normed  space, then  $c(subseteq x)$  is  functionally  convex  (briefly, $f$-convex), if  $t(c)subseteq bbb r $ is  convex for all bounded linear transformations $tin b(x,r)$; and $k(subseteq x)$  is  functionally   closed (briefly, $f$-closed), if  $t(k)subseteq bbb r $ is  closed  for all bounded linear transformations $tin b(x,r)$. we improve the    krein-milman theorem  ...

The necessity and importance of teaching pragmatics has come to light by many researchers (e.g. Rose & Kasper, 2001). Due to the consensus over the need to teach pragmatic competence, the main issue now centers on the question of how we should teach this competence in the most effective way. Consistent with this line of research, the present study aimed to investigate the effectiveness of deduc...

conclusions these results show that zen and α-zol enhance the rate of cell division in er positive cells and therefore, exposure to this mycotoxin may increase the risk of breast cancer. results the results obtained from the present study demonstrated that both zen and α-zol enhance the cell viability of mcf-7 especially at low doses (1 - 500 ng/ml) and at a high dose of 125µg/ml after 24 and 4...

introduction: for thousands of years, plants have been used as the main source of drug worldwide. recently, it has been found out that the plant artemisia annua and especially its derivatives such as artemether have anticancer properties. methods: in this study, the anticancer effect of artemether on mcf-7 breast cancer cell line was examined. mtt assay was used to assess the viability of cance...

We give some simple examples of applying the well-known elementary probability theory inequalities and properties in field logical argumentation. A probabilistic version hypothetical syllogism inference rule is as follows: if propositions A, B, C, A→B, B→C have probabilities a, b, c, r, s, respectively, then for p A→C, we f(a,b,c,r,s)≤p≤g(a,b,c,r,s), functions f g given parameters. In this pape...

The reactions of Pb(C10 ) , and Pb(SCN) with meso-5,7,7,12,14,14-hexamethyl- 1,4,8,ll ,tetra-azacyclotetradecane (C ,H ,N = L) yielded colorless crystals of LPb(CI O ) (1) and LPb(NCS) (2), respectively. Their structures were determined by X-ray crystallography. Crystal data: 1 monoclinic, P 2 /c, a =11.293 (4) ?, b = 16.382 (6) ? , c = 21.518(4) ?, ? = 92.14(2)?, Z = 4, MoKa, 1824 obser...

A unital $C^*$ -- algebra $mathcal A,$ endowed withthe Lie product $[x,y]=xy- yx$ on $mathcal A,$ is called a Lie$C^*$ -- algebra. Let $mathcal A$ be a Lie $C^*$ -- algebra and$g,h:mathcal A to mathcal A$ be $Bbb C$ -- linear mappings. A$Bbb C$ -- linear mapping $f:mathcal A to mathcal A$ is calleda Lie $(g,h)$ -- double derivation if$f([a,b])=[f(a),b]+[a,f(b)]+[g(a),h(b)]+[h(a),g(b)]$ for all ...

Recent advances in neural radiance fields (NeRFs) achieve state-of-the-art novel view synthesis and facilitate dense estimation of scene properties. However, NeRFs often fail for outdoor, unbounded scenes that are captured under very sparse views with the content concentrated far away from camera, as is typical field robotics applications. In particular, NeRF-style algorithms perform poorly: 1)...