The effect of narrow dibaryon resonances to nuclear matter and structure of neutron stars is investigated in the mean-field theory (MFT) and in the relativistic Hartree approximation (RHA). The existence of massive neutron stars imposes constraints to the coupling constants of the ωand σ-mesons with dibaryons. We conclude that the experimental candidates to dibaryons d1(1920) and d’(2060) if ex...

We show that the displacement and strain formulations of the displacement-traction problem of three-dimensional linearized elasticity can be viewed as Legendre-Fenchel dual problems to the stress formulation of the same problem. We also show that each corresponding Lagrangian has a saddle-point, thus fully justifying this new approach to elasticity by means of Legendre-Fenchel duality. Résumé D...

In this paper, the relation between algebraic shifting and join which was conjectured by Eran Nevo will be proved. Let σ and τ be simplicial complexes and σ ∗ τ their join. Let Jσ be the exterior face ideal of σ and ∆(σ) the exterior algebraic shifted complex of σ. Assume that σ ∗ τ is a simplicial complex on [n] = {1, 2, . . . , n}. For any d-subset S ⊂ [n], let m revS(σ) denote the number of ...

In this paper we study the Cauchy problem of doubly singular parabolic equations ut = div ∇u σ ∇um + t x u with non-negative initial data. Here −1 < σ ≤ 0, m > max 0 1 − σ − σ + 2 /N satisfying 0 < σ +m ≤ 1, p > 1, and s ≥ 0. We prove that if θ > max − σ + 2 , 1 + s N 1 − σ − m − σ + 2 , then pc = σ +m + σ +m− 1 s + σ + 2 1+ s + θ /N > 1 is the critical exponent; i.e, if 1 < p ≤ pc then every n...

Let σ ∈ Sk and τ ∈ Sn be permutations. We say τ contains σ if there exist 1 ≤ x1 < x2 < . . . < xk ≤ n such that τ(xi) < τ(xj) if and only if σ(i) < σ(j). If τ does not contain σ we say τ avoids σ. Let F (n, σ) = |{τ ∈ Sn| τ avoids σ}|. Stanley and Wilf conjectured that for any σ ∈ Sk there exists a constant c = c(σ) such that F (n, σ) ≤ cn for all n. Here we prove the following weaker statemen...

Suppose X ∼ N(μ, σ) ∈ R. We want to test if μ = 0 or μ > 0, and say we know σ. Then noting that Y = X/σ ∼ N(0, 1) under the null, we suggest the test I(X/σ > zα) which has error rate P1(X/σ ≤ zα) = Φ(zα − μ/σ) Hence everything depends on SNR μ/σ. Getting an observation from X ∼ N(μ, σ) is exactly like getting an observation Y ∼ N(μ/σ, 1). Similarly, suppose we get M measurements, calculating X̄ ...

We consider the distribution of argζ (σ + it) on fixed lines σ > 1 2 , and in particular the density d(σ) = lim T→+∞ 1 2T |{t ∈ [−T,+T ] : |argζ (σ + it)|> π/2}| , and the closely related density d−(σ) = lim T→+∞ 1 2T |{t ∈ [−T,+T ] : Rζ (σ + it) < 0}| . Using classical results of Bohr and Jessen, we obtain an explicit expression for the characteristic function ψσ (x) associated with argζ (σ + ...

In this Perspective article, we seek the origin of scaling laws developing turbulent boundary layers over a flat plate from perspective phenomenological theory turbulence. The boundary-layer thickness and shear stress in rough smooth flows are established. flow, (scaled with roughness) dynamic pressure) obey “2/(1− σ)” “(1+ σ)/(1− laws, respectively, streamwise distance roughness). Here, σ is s...