The principal result of this paper is the following Markov-type inequality for Müntz polynomials. Theorem (Newman’s Inequality in Lp[a, b] for [a, b] ⊂ (0,∞)). Let Λ := (λj) ∞ j=0 be an increasing sequence of nonnegative real numbers. Suppose λ0 = 0 and there exists a δ > 0 so that λj ≥ δj for each j. Suppose 0 < a < b and 1 ≤ p ≤ ∞. Then there exists a constant c(a, b, δ) depending only on a, ...

Bacillus anthracis is a severe mammalian pathogen encoding a class Ib ribonucleotide reductase (RNR). RNR is a universal enzyme that provides the four essential deoxyribonucleotides needed for DNA replication and repair. Almost all Bacillus spp. encode both class Ib and class III RNR operons, but the B. anthracis class III operon was reported to encode a pseudogene, and conceivably class Ib RNR...

Let m,n ≥ 2 be positive integers. Denote by Mm the set of m×m complex matrices and by w(X) the numerical radius of a square matrix X. Motivated by the study of operations on bipartite systems of quantum states, we show that a linear map φ : Mmn →Mmn satisfies w(φ(A⊗B)) = w(A⊗B) for all A ∈Mm and B ∈Mn if and only if there is a unitary matrix U ∈Mmn and a complex unit ξ such that φ(A⊗B) = ξU(φ1(...

Montgomery’s algorithm [8], hereafter denoted Mn(·, ·), is a process for computing Mn(A,B) = ABN mod n where N is a constant factor depending only on n. Usually, AB mod n is obtained by Mn(Mn(A,B), N −2 mod n) but in this article, we introduce an alternative approach consisting in pre-integrating N into cryptographic keys so that a single Mn(·, ·) will replace directly each modular multiplicati...

Mixed-valent manganese phosphonate clusters [Mn(II)(8)Mn(III)(2)O(2)(O(3)PC(10)H(7))(4)(C(6)H(5)CO(2))(10)(py)(4)(H(2)O)(2)] (1) and [Mn(II)(4)Mn(III)(9)O(4)(OH)(2)(O(3)PC(10)H(7))(10)(C(6)H(5)CO(2))(5)(py)(8)(H(2)O)(6)] (2) are reported. Compound 1 is the first example of manganese phosphonate clusters prepared through a microwave-assisted technique. While compound 2 is obtained under ambient ...

The deficiencies of nutrient elements and inappropriate management practices in agricultural soils the world is one reasons for low crop productivity, reduced nutritional quality produce, animal/human malnutrition. We carried out present study to evaluate single multi-nutrient sulfur (S) micronutrients (zinc (Zn), boron (B), iron (Fe), copper (Cu) manganese (Mn)) India their effective achieve s...

Let φ : Mn → B(H) be an injective, completely positive contraction with ‖φ−1 : φ(Mn) → Mn‖cb ≤ 1 + δ(ǫ). We show that if either (i) φ(Mn) is faithful modulo the compact operators or (ii) φ(Mn) approximately contains a rank 1 projection, then there is a complete order embedding ψ : Mn → B(H) with ‖φ − ψ‖cb < ǫ. We also give examples showing that such a perturbation does not exist in general. As ...

This research evaluated the effect of nitrogen fertilization (0, 161, 321.8, or 483 kg ha-1) on accumulation Fe, Cu, Zn, Mn, and B in banana plants cv. Williams two production cycles Uraba, Colombia. The micronutrient models for were obtained with a multivariate approach differences between cycles, using randomized complete block design repeated measurements over time. N doses greater Zn fruits...

The crystal structure, electronic and magnetic properties of LaMn(7)O(12) ((LaMn(3)(3+))(A)Mn(4)(3+)O(12)) are investigated by GGA (LSDA) and GGA + U (LSDA + U) (0.0 ≤ U ≤ 5.0 eV) methods. Based on two experimentally refined structures (distinguished by the distortion parameter Δ, namely S(I) (Δ = 8.5 × 10(-5)) and S(II) (Δ = 25.0 × 10(-4))), GGA and GGA + U with U < 3.0 eV calculations indicat...

The new N,N,O ligand 2,2-bis(3,5-dimethylpyrazol-1-yl)propionic acid (2,2-Hbdmpzp) (2) and its transition metal complexes [Mn(2,2-bdmpzp)(CO)(3)] (3), [Re(2,2-bdmpzp)(CO)(3)] (4), [Cu(2,2-bdmpzp)(2)] (5), and [Ru(2,2-bdmpzp)Cl(L)(PPh(3))] [L = PPh(3) (6), N(2) (7), CO (8a/b), SO(2) (9a/b)] have been synthesized, characterized and compared to analogous complexes bearing a bis(3,5-dimethylpyrazol...