Composite Higgs loop effects in the top mode standard model are discussed by using the Miransky-Tanabashi-Yamawaki (MTY) approach based on the Schwinger-Dyson equation. The top mass is obtained as 179 GeV for the Planck scale cutoff (Λ ≃ 10 GeV). This result is different from that of the Bardeen-Hill-Lindner (BHL) approach based on the renormalization group equation (RGE), with QCD plus Higgs l...

For vectors $X, Yin mathbb{R}^{n}$, we say $X$ is left matrix majorized by $Y$ and write $X prec_{ell} Y$ if for some row stochastic matrix $R, ~X=RY.$ Also, we write $Xsim_{ell}Y,$ when $Xprec_{ell}Yprec_{ell}X.$ A linear operator $Tcolon mathbb{R}^{p}to mathbb{R}^{n}$ is said to be a linear preserver of a given relation $prec$ if $Xprec Y$ on $mathbb{R}^{p}$ implies that $TXprec TY$ on $mathb...

Let Y → M be a fibred manifold with m-dimensional base and n-dimensional fibres. If m > 2 and n > 3, we classify all linear connections A(Γ,Λ,Θ) : T Y → J(T Y → Y ) in T Y → Y (i.e., classical linear connections on Y ) depending canonically on a system (Γ,Λ,Θ) consisting of a general connection Γ : Y → JY in Y → M , a torsion free classical linear connection Λ : T M → J(T M → M) on M and a line...

where p, q, e ∈ C t0,∞ , with p t > 0 and 0 < α ≤ β being constants. By a solution of 1.1 , wemean a function y t ∈ C1 Ty,∞ , , where Ty ≥ t0 depends on the particular solution, which has the property p t |y′ t |α−1y′ t ∈ C1 Ty,∞ and satisfies 1.1 . We restrict our attention to the nontrivial solutions y t of 1.1 only, that is, to solutions y t such that sup{|y t | : t ≥ T} > 0 for all T ≥ Ty ....

Let C be a closed convex subset of a complete metrizable topological vector space (X ,d) and T : C → C a mapping that satisfies d(Tx,Ty) ≤ ad(x, y) + bd(x,Tx) + cd(y,Ty) + ed(y,Tx) + f d(x,Ty) for all x, y ∈ C, where 0 < a < 1, b ≥ 0, c ≥ 0, e ≥ 0, f ≥ 0, and a+ b + c + e + f = 1. Then T has a unique fixed point. The above theorem, which is a generalization and an extension of the results of se...

In this paper, we investigate new solutions to the Rhoades' discontinuity problem on existence of a self-mapping which has fixed point but is not continuous at metric spaces. To do this, use number defined as n(x,y)=[d(x,y)]β[d(x,Ty)]α[d(x,Ty)]γ[(d(x,Ty)+d(x,Ty))/2]1−α−β−γ, where α , β γ ∈ ( 0,1 ) with + &lt; 1 and some interpolative type contractive conditions. Also, geometric properties Fix(T...

In this paper we present a new iteration-complexity bound for the Mizuno-Todd-Ye predictorcorrector (MTY P-C) primal-dual interior-point algorithm for linear programming. The analysis of the paper is based on the important notion of crossover events introduced by Vavasis and Ye. For a standard form linear program min{cTx : Ax = b, x ≥ 0} with decision variable x ∈ , we show that the MTY P-C alg...

Derivations of ray dependence functions (λ > 0 and λ < 0) and spectral density (λ > 0) Derivation of d(q) for λ > 0 This follows simply by noting that Proposition 6 gives that marginal quantile functions are q A (tx) = (tx) λ l A (tx), q B (ty) = (ty) λ l B (ty), for tx, ty ≥ 1 so that using the same dominated convergence arguments as in lim t→∞ θ(t) given in the proof of Proposition 1, lim t→∞...

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