The systematic study of hadronic elliptic flow in various relativistic heavy ion collisions is important for the investigation initial geometry influence on quark gluon plasma characteristics. φ meson consists strange and antistrange quarks has a small interaction cross section with non-strange hadrons. Therefore, mesons are barely affected by late stage reflect detailed information about hot d...

By means of the Schechter’s Linking method, we study the existence of 2T -periodic solutions of the non-autonomous fourth-order ordinary differential equation u′′′′ −Au′′ −Bu− Vu(t, u) = 0 where A > 0, B > 0, V (t, u) ∈ C1(R × R,R) is 2T -periodic in t and satisfies either 0 < θV (t, u) ≤ uVu(t, u) with θ > 2, or uVu(t, u) − 2V (t, u) ≥ d3|u| with r ≥ 1.

Hu proteins have been shown to bind to AU-rich elements (AREs) in the 3'-untranslated region of unstable mRNAs. They can thereby inhibit the decay of labile transcripts by antagonizing destabilizing proteins that target these AU-rich sequences. Here we examine the sequence preferences of HuD to elucidate its possible role in counteracting mRNA decay. Using repeats of the prototype destabilizing...

Treatment of (chloro)gold(I) complexes of diand tetra-tertiary phosphines with equivalent quantities of sodium quinoline-2-thiolate in methanol / dichloromethane affords the correspond­ ing (phosphine)gold(I) quinoline-2-thiolates in high yields. The diand tetranuclear complexes, respectively, of a,u>bis(diphenylphosphino)-propane (1), -butane (2) and -pentane (3) and of tris(2-diphenylphosphin...

We show that ‖Au+∆u‖L2(Ω) ≤ C1‖∇u‖L2(Ω)+C0‖u‖L2(Ω), where u belongs to the domain of A, the Stokes operator for divergence-free vector fields in the domain Ω ⊂ R satisfying the Navier boundary condition. Moreover, in the case of thin domains, the constant C1 is comparable with the small depth of the domains.

Consider the singular perturbation problem for εu(t; ε) + u(t; ε) = Au(t; ε) + ∫ t 0 K(t− s)Au(s; ε) ds+ f(t; ε) , where t ≥ 0, u(0; ε) = u0(ε), u (0; ε) = u1(ε), and w(t) = Aw(t) + ∫ t 0 K(t− s)Aw(s)ds+ f(t) , t ≥ 0 , w(0) = w0 , in a Banach space X when ε → 0. Here A is the generator of a strongly continuous cosine family and a strongly continuous semigroup, and K(t) is a bounded linear opera...

SUMMARY QDist is a program for computing the quartet distance between two unrooted trees, i.e. the number of quartet topology differences between the trees, where a quartet topology is the topological subtree induced by four species. The program is based on an algorithm with running time O(n log2 n), which makes it practical to compare large trees. Available under GNU license. AVAILABILITY ht...

We prove the existence of positive solutions of the Sturm-Liouville boundary value problem −(r(t)φ(u′))′ = λg(t)f(t, u), t ∈ (0, 1), au(0)− bφ−1(r(0))u′(0) = 0, cu(1) + dφ−1(r(1))u′(1) = 0, where φ(u′) = |u′|p−2u′, p > 1, f : (0, 1) × (0,∞) → R satisfies a p-sublinear condition and is allowed to be singular at u = 0 with semipositone structure. Our results extend previously known results in the...

We build an unbounded sequence of nonradial solutions for ∇(|x|−2a∇u)+ |x|− 2N N−2 au N+2 N−2 = 0, u > 0 in RN \{0} , where N ≥ 5 and a < 0. This answers an question of L. Veron.

Poincare inequalities are a simple way to obtain lower bounds on the distortion of mappings X into Y. These are shown below to be sharp when we consider the Lp spaces. A Poincare inequality is one of the following type: suppose Ψ : [0, ∞) → [0, ∞) is a nondecreasing function and that au,v, bu,v are finite arrays of real numbers (for u, v ∈ X, and not all of the numbers 0). We say that functions...