Effective monitoring of soil moisture (θ) by non-destructive means is important for crop irrigation management. Soil bulk density (ρ) a major factor that affects potential application θ estimation models using remotely-sensed data. However, few researchers have focused on and quantified the effect ρ spectral reflectance with different textures. Therefore, we influences texture θ, evaluated perf...

We prove a factorization of completely bounded maps from a C *-algebra A (or an exact operator space E ⊂ A) to ℓ 2 equipped with the operator space structure of (C, R) θ (0 < θ < 1) obtained by complex interpolation between the column and row Hilbert spaces. More precisely, if F denotes ℓ 2 equipped with the operator space structure of (C, R) θ , then u : A → F is completely bounded iff there a...

Problems involving estimation and inference under linear inequality constraints arise often in statistical modeling. In this paper we propose an algorithm to solve the quadratic programming problem of minimizing ψ(θ) = θ′Qθ−2c′θ for positive-definite Q, where θ is constrained to be in a closed polyhedral convex cone C = {θ : Aθ ≥ d}, and the m×n matrix A is not necessarily full row-rank. The th...

To each flat conformal structure (FCS) of hyperbolic type in the sense of Kulkarni-Pinkall, we associate, for all θ ∈ [(n − 1)π/2, nπ/2[ and for all r > tan(θ/n) a unique immersed hypersurface Σr,θ = (M, ir,θ) in H of constant θ-special Lagrangian curvature equal to r. We show that these hypersurfaces smoothly approximate the boundary of the canonical hyperbolic end associated to the FCS by Kul...

Lemma 3. Theorem 1 is true if and only if Theorem 2 is true. Proof. Assume that Theorem 2 is true and let θ′ 1, . . . , θ ′ k, 1 be real numbers that are linearly independent over Z, let α1, . . . , αk be real numbers, let N > 0 and let 0 < < 1. Let θm = θ ′ m − qm with 0 < θm ≤ 1. Because θ′ 1, . . . , θ′ k, 1 are linearly independent over Z, so are θ1, . . . , θk, 1. Using Theorem 2 with k + ...

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...

T̂ [θ](ξ) = m(ξ)θ̂(ξ), ξ ∈ Z. We make the following assumptions about m. We assume that m : R\{0} → R is even, 0-homogeneous, and m(ξ) · ξ = 0 a.e. Note that m is not necessarily smooth or even bounded, so the operator T is not assumed to be of Calderón-Zygmund type. We say that the pair (θ, u) ∈ Lloc(R × T) is a weak solution of the system (1)–(4) on R if for every φ ∈ C∞ 0 (R× T) the following ...

and Applied Analysis 3 Definition 1.4 see 18, 20–23 . 1 The intersection of all fuzzy α-closed resp., semiclosed, preclosed, γ-closed, semi-preclosed, β-closed sets containing a fuzzy set A is called a fuzzy α-closure resp., semiclosure, preclosure, γ-closure, semi-preclosure, β-closure of A. 2 The union of all fuzzy α-open resp., semiopen, preopen, γ-open, semi-preopen, β-open sets contained i...

We calculate the on-shell Σ-Λ mixing parameter θ with the method of QCD sum rule. Our result is θ(m Σ ) = (−)(0.5 ± 0.1) MeV. The electromagnetic interaction is not included.

A thermodynamic formalism is developed for a system of interacting particles under overdamped motion, which has been recently analyzed within the framework of nonextensive statistical mechanics. It amounts to expressing the interaction energy of the system in terms of a temperature θ, conjugated to a generalized entropy s(q), with q = 2. Since θ assumes much higher values than those of typical ...