We use finite incident structures to construct new infinite families of directed strongly regular graphs with parameters (l(q−1)q, l(q−1)q, (lq−l+1)q, (l−1)(q−1)q, (lq−l+1)q) for integers q and l (q, l ≥ 2), and (lq(q − 1), lq(q − 1), lq − l + 1, (l − 1)(q − 1), lq − l + 1) for all prime powers q and l ∈ {1, 2, . . . , q}. The new graphs given by these constructions include those with parameter...

The aim of this study was to evaluate the effect of sex determination procedures in Day 7 to Day 8 bovine embryos of various quality. For the purposes of comparison we used high quality (HQ) as well as lower quality (LQ) embryos obtained from superovulated donors. The healthy embryonic cells isolated from HQ embryos and blastomeres protruding into the perivitelline space of LQ embryos, were ana...

We examine the stochastic parabolic integral equation of convolution type U(t) +A ∫ t 0 k1(t− s)U(s) ds = ∫ t 0 k2(t− s)G(s) dWH(s), t ≥ 0, where U(t) takes values in Lq(O;R) with O a σ-finite measure space, and q ∈ [2,∞). The linear operator A maps D(A) ⊂ Lq(O;R) into Lq(O;R), is nonnegative and admits a bounded H∞-calculus on Lq(O;R). The kernels are powers of t, with k1(t) = 1 Γ(α) t α−1, k2...

The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional (distributed parameter) Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresp...

The objective of this article is to introduce a novel data-driven iterative linear quadratic (LQ) control method for solving class nonlinear optimal tracking problems. Specifically, an algorithm proposed approximate the Q-factors arising from LQ stochastic This then coupled with LQ-methods determining local solutions problems in purely setting. Simulation results highlight potential field appli...

*Correspondence: [email protected] School of Mathematical and Statistics, Zaozhuang University, Zaozhuang, 277160, China Abstract Optimal asymptotic orders of the probabilistic linear (n,δ)-widths of λn,δ (Wr 2,α,β ,ν , Lq,α,β ) of the weighted Sobolev spaceW r 2,α,β equipped with a Gaussian measure ν are established, where Lq,α,β , 1≤ q≤∞, denotes the Lq space on [–1, 1] with respect to the me...

Let I = [a, b] ⊂ R, let 1 < p ≤ q <∞, let u and v be positive functions with u ∈ Lp′ (I), v ∈ Lq(I) and let T : Lp(I)→ Lq(I) be the Hardy-type operator given by

Many computer science problems can be naturally and compactly expressed using quantified Boolean formulas (QBFs). Evaluating the truth or falsity of a QBF is an important task, and constructing the corresponding model or countermodel can be as important and sometimes even more useful in practice. Modern search and learning based QBF solvers rely fundamentally on resolution and can be instrument...

While every instance of the Hospitals/Residents problem admits a stable matching, the problem with lower quotas (HR-LQ) has instances with no stable matching. For such an instance, we expect the existence of an envy-free matching, which is a relaxation of a stable matching preserving a kind of fairness property. In this paper, we investigate the existence of an envy-free matching in several set...

In automotive powertrain control strategy, engine torque estimators are preferred to expensive sensors for obvious economic reasons. In the literature several works have been presented proposing both instantaneous engine torque and mean engine torque estimators. The first ones are based on complex models and tipically are suitable for diagnosis purposes, while the latter estimate the torque by ...