We consider T-periodic solutions of singular Hamiltonian systems with weak force q + VV(q,t) = 0, where V(q, t) ~ -l/\q\a near q = 0 with a e (0, 2). In particular, we study some properties of generalized T-periodic solutions, which were introduced by Bahri and Rabinowitz. 0. Introduction In this paper we study properties of the generalized solutions of singular Hamiltonian systems which were i...

Motivated by the work of Zargar and Zamani, we introduce a family elliptic curves containing several one- (respectively two-) parameter subfamilies high rank over function field $\mathbb{Q}(t)$ $\mathbb{Q}(t,k)$). Following approach Moody, construct two infinitely many at least 5 $\mathbb{Q}(t,k)$. Secondly, deduce other this family, induced edges rational cuboid five independent $\mathbb{Q}(t)...

Abstract In the present article we analyze matter-geometry coupled f ( Q , T ) theory of gravity. We offer fully covariant formulation theory, with which construct correct energy balance equation and employ it to conduct a dynamical system analysis in spatially flat Friedmann–Lemaître–Robertson–Walker spacetime. consider three different functional forms function, specifically, $$f(Q,T)=\alpha Q...

An algebra homomorphism ψ from the q-deformed algebra U q (iso 2) with generating elements I, T 1 , T 2 and defining relations [I, T 2 ] q = T 1 , [T 1 , I] q = T 2 , [T 2 , T 1 ] q = 0 (where [A, B] q = q 1/2 AB − q −1/2 BA) to the extensionˆU q (m 2) of the Hopf algebra U q (m 2) is constructed. The algebra U q (iso 2) at q = 1 leads to the Lie algebra iso 2 ∼ m 2 of the group ISO(2) of motio...

The concept of linear set in projective spaces over finite fields was introduced by Lunardon 1999 and it plays central roles the study blocking sets, semifields, rank-distance codes etc. A with largest possible cardinality rank is called maximum scattered. Despite two decades study, there are only a limited number scattered sets line $\mathrm{PG}(1,q^n)$. In this paper, we provide large family ...

In this article we obtain wormhole solutions in the recently proposed extension of symmetric teleparallel gravity called $f(Q,T)$ gravity. Here, gravitational Lagrangian $L$ is defined by an arbitrary function $f$ $Q$ and $T$ (where non-metricity scalar, while trace energy-momentum tensor). study, field equations for a static spherically metric context general We study with (i) linear EoS (ii) ...

We present the first experimental evidence that the heat capacity of superfluid 4He, at temperatures very close to the lambda point T(lambda), is enhanced by a constant heat flux Q. The heat capacity at constant Q, C(Q), is predicted to diverge at a temperature T(c)(Q)<T(lambda) at which superflow becomes unstable. In agreement with previous measurements, we find that dissipation enters our cel...

!he incidence matrix If of points and d-flats in PG(t, q) is a (O,l)-matrix which may be considered a _trAx with entries from the field GF (q) , where q is a prime power, q'" p. Let r d (t, 9.) denote thr rank of If over (JF (q). In this paper, & fonml.a for r t 1 (t, q) and an upper bound for r (t,q), 1 S d S t-l, are given. In the case q =p, the 'bound on rd(t,p) is attained. Similar results ...

In an earlier study, we proposed that thyroid hormone stimulation of energy utilization by the Na(+) pump mediates the calorigenic response. In this study, the effects of triiodothyronine (T(3)) on total oxygen consumption (Q(OO2)), the ouabain-sensitive oxygen consumption [Q(OO2)(t)], and NaK-ATPase in liver, kidney, and cerebrum were measured. In liver, approximately 90% of the increase in Q(...