Invariants of the plane-stress elasticity stiffness matrix [Q] play a key role in composite design, as they simplify design processes. Multiple invariants have been proposed independently past, such ‘trace’ Tr=trace([Q]) by Tsai and Melo or U1, U4 U5, which are often used context lamination parameters. The present paper presents parametric description rotation-independent (invariant) linear com...

q-Exponential distributions (q-Exponentials defined in the next section) are used[1] in modeling distributions of stocks. The q-Exponentials possess two desirable features namely exhibit power law tails in the high end of the distribution and tend toward a Gaussian when q = 1 + 1/K → 1. These facts provide enough motivation to derive a variant of a Wick theorem for linear combinations of indepe...

Since 2007, the Netherlands has experienced a large Q fever outbreak. To identify and quantify risk factors for development of chronic Q fever after Coxiella burnetii infection, we performed a case-control study. Comorbidity, cardiovascular risk factors, medications, and demographic characteristics from 105 patients with proven (n = 44), probable (n = 28), or possible (n = 33) chronic Q fever w...

In this note, we establish $L^p$-bounds for the semigroup $e^{-tq^w(x,D)}$, $t \ge 0$, generated by a quadratic differential operator $q^w(x,D)$ on $\mathbb{R}^n$ that is Weyl quantization of complex-valued form $q$ defined phase space $\mathbb{R}^{2n}$ with non-negative real part $\operatorname{Re} q 0$ and trivial singular space. Specifically, show $e^{-tq^w(x,D)}$ bounded from $L^p(\mathbb{R...

Bound states in the continuum (BICs) offer novel mechanisms to boost quality factor (Q-factor) of resonances. Unfortunately, current studies on chiral BICs metasurfaces suffer from a fundamental trade-off between Q-factor and circular dichroism (CD), presenting significant hurdle that severely limits independent control CD Q-factors. Here, 3D plasmonic are numerically demonstrated overcome high...

q-analogs of classical formulae go back to Euler, q-binomial coefficients were defined by Gauss, and q-hypergeometric series were found by E. Heine in 1846. The q-analysis was developed by F. Jackson at the beginning of the 20th century, and the modern point of view subsumes most of the old developments into the subjects of Quantum Groups and Combinational Enumeration. The general philosophy of...

We investigate numerical solution of Q 2 evolution equations for structure functions in the nucleon and in nuclei. (Dokshitzer-Gribov-Lipatov-)Altarelli-Parisi and Mueller-Qiu evolution equations are solved in a brute-force method. Spin-independent flavor-nonsinglet and singlet equations with next-to-leading-order α s corrections are studied. Dividing the variables x and Q 2 into small steps, w...

A subset S ⊆ V (G) is an independent set of G if no two vertices of S are adjacent in G. A subset Q ⊆ V (G) is a 2-dominating set of G if each vertex from V (G)\Q has at least two neighbours in Q. We define new kind of kernels in graphs. Using existing concepts of an independent set and a 2-dominating set, we define in the natural way the concept of 2-dominating kernels in graphs. A subset J ⊂ ...