Employing the functional renormalization group approach at next-to-leading order of derivative expansion, we refine our earlier findings for location Yang-Lee edge singularity in classic $\mathrm{O}(N)$ universality classes. For classes interest to QCD, three dimensions, found $|{z}_{c}|/{R}_{\ensuremath{\chi}}^{1/\ensuremath{\gamma}}=1.612(9),1.597(3)$ $N=2$, 4 correspondingly. We also establi...

‎We determine the‎ ‎form of polynomially bounded solutions to the Loewner differential ‎equation that is satisfied by univalent subordination chains of the‎ ‎form $f(z,t)=e^{int_0^t A(tau){rm d}tau}z+cdots$‎, ‎where‎ ‎$A:[0,infty]rightarrow L(mathbb{C}^n,mathbb{C}^n)$ is a locally‎ ‎Lebesgue integrable mapping and satisfying the condition‎ ‎$$sup_{sgeq0}int_0^inftyleft|expleft{int_s^t‎ ‎[A(tau)...

We study the topological centers of $nth$ dual of Banach $mathcal{A}$-modules and we extend some propositions from Lau and "{U}lger into $n-th$ dual of Banach $mathcal{A}-modules$ where $ngeq 0$ is even number. Let   $mathcal{B}$   be a Banach  $mathcal{A}-bimodule$. By using some new conditions, we show that $ Z^ell_{mathcal{A}^{(n)}}(mathcal{B}^{(n)})=mathcal{B}^{(n)}$ and $ Z^ell_{mathcal{B}...

Abstract C 30 H 36 F 2 N 6 O 9 S, orthorhombic, P 1 (no. 19), a = 5.2364(8) Å, b 10.0250(14) c 59.689(9) V 3133.4(8) Å 3 , Z 4, R gt ( ) 0.0384, wR ref 0.0969, T 170 K.

Abstract C 8 H 7 N 3 O, orthorhombic, Pccn (no. 56), a = 9.9071(14) Å, b 11.1950(19) c 13.315(2) V 1476.8(4) Å , Z 8, R gt ( F ) 0.0356, wR ref 2 0.1034, T 100(2) K, β 90 ° .