In this study, 115 samples taken from the stream sediments were analyzed for concentrations of As, Co, Cr, Cu, Ni, Pb, W, Zn, Au, Ba, Fe, Mn, Sr, Ti, U, V and Zr. In order to outline mineralization-derived stream sediments, various mapping techniques including fuzzy factor score, geochemical halos and fractal model were used. Based on these models, concentrations of Co, Cr, Ni, Zn, Ba, Fe, Mn, ...

Let (M, g) be a complete noncompact Riemannian manifold. In this paper, we derive a local gradient estimate for positive solutions to a simple nonlinear parabolic equation ∂u ∂t = ∆u+ au log u+ bu on M × [0,+∞), where a, b are two real constants. This equation is closely related to the gradient Ricci soliton. We extend the result of L. Ma (Journal of Functional Analysis 241 (2006) 374-382).

Let (M,J, θ) be a closed pseudo-Hermintian (2n+1)-manifold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subparabolic equation ∂u ∂t = △bu+au log u+bu on M× [0,∞), where a, b are two real constants. M.S.C. 2010: 32V05, 32V20.

In this paper, a practice-based framework for the identification and discussion of prospective elementary school teachers' mathematics content knowledge is described. This framework ‘the Knowledge Quartet’ emerged from intensive scrutiny of 24 videotaped lessons, taught by novice teachers. Application of the Knowledge Quartet in lesson observation and teacher education is illustrated with refer...

DOTASQ (for DOTA-templated Synthetic G-quartet) is the first prototype of nature-inspired G-quadruplex ligand: its design, founded on a possible intramolecular G-quartet formation, enables it to interact with G-quadruplex DNA via an unprecedented nature-mimicking binding mode, based on the association between two G-quartets, one being native (quadruplex) and the other one artificial (ligand).

In this note, we describe the generator of the modulus semigroup of the C0-semigroup associated with the delay equation { u′(t) = Au(t) + Lut, t > 0, u(0) = x ∈ R, u0 = f ∈ L(−h, 0;R) , in the Banach lattice R × L(−h, 0;R). MCS 2000: 34K06

The challenge motivating this paper is to induce, by chemical substitution, a silylyne, SiR, or a congeneric carbyne, CR, to adopt the high-spin quartet rather than the low-spin doublet as its ground state. The difficulty is seen in the preference for the doublet of the parent SiH (doublet-quartet energy difference ∼39 kcal/mol, favoring the doublet) or CH (∼17 kcal/mol). Strategies for having ...

Kai-Ming G. Fu,1,2 Taylor A. Johnston,1,2 Ankoor S. Shah,1,2 Lori Arnold,3 John Smiley,2 Troy A. Hackett,4 Preston E. Garraghty,3 and Charles E. Schroeder1,2 1Albert Einstein College of Medicine, Bronx, New York 10461, 2Nathan Kline Institute, Orangeburg, New York 10962, 3Department of Psychology, Program in Neural Science, Indiana University, Bloomington, Indiana 47405, and 4Vanderbilt Univers...

results for error analysis of finite element method We consider the following four problems: 1: (E)w: Find u ∈ V such that a(u, v) = (f, v) for all v ∈ V . 2: (Eh)w: Find uh ∈ Vh such that a(uh, vh) = (f, vh) for all vh ∈ Vh. 3: (E)w: Find u ∈ V such that a (u , v) = (f, v) for all v ∈ V . DDM APPLIED TO RADIATION PROBLEMS 389 4: (Eh )w: Find u N h ∈ Vh such that a (uh , vh) = (f, vh) for all v...

In this paper, we establish some new properties of (?,c)-periodic and asymptotically functions, then apply them to study the existence uniqueness mild solutions these types following semilinear fractional differential equations: (1) {cDt?u(t)=Au(t)+cDt??1f(t,u(t)),1<?<2,t?R,u(0)=0(1) (2) {cDt?u(t)=Au(t)+cDt??1f(t,u(t?h)),1<?<2,t,h?R+,u(0)=0(2) where cDt?(?)(1<?<2) stands for Caputo derivative A...