Some new criteria for the oscillation of the fourth order functional differential equation d dt ( 1 a3(t) ( d dt 1 a2(t) ( d dt 1 a1(t) ( d dt x(t) )α1)α2)α3) + δq(t) f (x[g(t)]) = 0, where δ = ±1 are established. c © 2006 Elsevier Ltd. All rights reserved.

We measured just-noticeable differences in the direction and speed of motion in depth of cyclopean and monocularly visible targets. Our stimulus set comprised different combinations of (d phi/dt)/(d delta/ dt), d delta/dt, d phi/dt and delta delta, where d phi/dt was the angular frontal plane speed of the binocularly-fused target, d delta/dt was its rate of change of disparity and delta delta w...

D-dopachrome tautomerase (D-DT/MIF-2) is a member of the macrophage migration inhibitory factor (MIF) cytokine superfamily, and a close structural homolog of MIF. MIF and D-DT have been reported to be involved in obesity, but there is little known about the regulation of D-DT in adipose tissue inflammation and wound healing. Subcutaneous adipose tissue was collected from 54 healthy donors and 2...

Although there are several excellent indexes of myocardial contractility, they require accurate measurement of pressure via left ventricular (LV) catheterization. Here we validate a novel noninvasive contractility index that is dependent only on lumen and wall volume of the LV chamber in patients with normal and compromised LV ejection fraction (LVEF). By analysis of the myocardial chamber as a...

dðRDÞ=dt 1⁄4 k81RDA k18RD A þ k31RDE k13RD E k19RD þ k91R D þ k21RT k12RD M dðRTÞ=dt 1⁄4 k52RT E k25RT E þ k92R T k29RT k21RT þ k62RTA k26RT A k2MRT E þ kM2M þ k12RD M dðRDEÞ=dt 1⁄4 k13RD E k31RDE þ k43RE D k34RDE þ k53RTE dðREÞ=dt 1⁄4 k34RDE k43RE D þ k54RTE k45RE T þ k94R E k49RE dðRT EÞ=dt 1⁄4 k45RE T k54RTE þ k25RT E k52RTE k53RTE dðRT AÞ=dt 1⁄4 k26RT A k62RTA k68RTA þ k76RA T k67RTA dðRAÞ=...

is cheap (2), where Dt ∈ Rd×q and q min{d, n}. We employ three di erent sketching strategies: 1) gauss. Dt has standard Gaussian entries sampled i.i.d at each iteration. 2) prev. Let dt = −Htgt. Store search directions Dt = [dt+1−q , . . . , dt] and update Ht once every q iterations. 3) fact. Sample Ct ⊆ {1, . . . , d} uniformly at random and set Dt = Lt−1I:Ct ,where Lt−1L T t−1 = Ht−1 and I:Ct...

Proof of Propositions 1a and 1b Focus on Party +1; the calculation for Party −1 is similar. Start with the casep ∈ [p−1, p+1). There, Party+1’s problem is tomaximize the (linear) objective ∂ ∂tu+1 (p(t)) = z+1 d dtp − d dt‖p‖ subject to the constraint (2), which corresponds in ( d dtp, d dt‖p‖)-space to a triangle Conv({v+, v−, vδ}) with vertices v+ = γ ⋅ (1, 1), v− = γ ⋅ (−1, 1), vδ = γ ⋅ (p/‖...

In this paper, oscillatory and asymptotic property of solutions of a class of nonlinear neutral delay differential equations of the form (E) d dt (r(t) d dt (y(t) + p(t)y(t− τ))) + f1(t)G1(y(t− σ1))− f2(t)G2(y(t− σ2)) = g(t) and d dt (r(t) d dt (y(t) + p(t)y(t− τ))) + f1(t)G1(y(t− σ1))− f2(t)G2(y(t− σ2)) = 0 are studied under the assumptions ∞ ∫ 0 dt r(t) <∞ and ∞ ∫

〈μ,D〉 = ∑ i=1 wi 〈ui,uiu T i 〉 Gradient descent Mill maintains the two moments 〈μt,Dt〉 ∈ U as parameter At trial t = 1 . . . T, the Mill 1. Decomposes parameter 〈μt,Dt〉 into a mixture of directions and draws ut from mixture 2. Receives Wind direction xt and gain E [ (ut xt + c) 2] 3. Updates 〈μt,Dt〉 to 〈μ̂t+1, D̂t+1〉 with the gradient of the expected gain on xt μ̂t+1 := μt + 2ηc xt and D̂t+1 := Dt ...