The paper offers teaching ideas for a technology-enhanced mathematics teacher education course related to an advanced inquiry into one-variable quadratic equations with parameters in place of coefficients. Mathematical activities behind the ideas have been interpreted using the notions of the technology immune/technology enabled (TITE) problem, digital fabrication, collateral learning, and hidd...

and Applied Analysis 3 For the case A > Ac, we improve the result by removing the restrictions u0 ≥ 0 and u0 x ≥ 0 on the initial data. Then all solutions of 1.1 blow up in finite time in C1 norm. Remark 1.2. In the critical case A Ac, all solutions have to blow up in C1 in either finite or infinite time. Moreover, if 3 occurs, then the solution will converge in C 0, 1 to the singular steady-st...

the steger and warming flux vector splitting implicit scheme is used to numerically solve two dimensional reynolds averaged navier–stokes (rans) equations governing the vortex induced vibration of a flexible riser laterally supported by a spring and a damper. the k–ε model is used as turbulence model to simulate the turbulent flow in the wake of the riser. to update the new position of the rise...

Authors: Mark-Anthony Bray [email protected] Shantanu Singh [email protected] Han Han [email protected] Chadwick T. Davis [email protected] Blake Borgeson [email protected] Cathy Hartland [email protected] Maria Kost-Alimova [email protected] Sigrun M. Gustafsdottir [email protected] Christopher C. Gibson* ch...

Generation of a quasi-contractive semigroup by generalized Ornstein-Uhlenbeck operators ℒ = −∆ + ∇Φ · ∇ − G V c|x|−2 in the weighted space L2(RN, e−Φ(x)dx) is proven, where Φ ∈ C2(RN, R), C1(RN, RN), 0 ≤ C1(RN) and c > 0. The proofs are carried out an application L2-weighted Hardy inequality bilinear form techniques.

Pasteurella multocida toxin (PMT) is a virulence factor responsible for the pathogenesis of some forms of pasteurellosis. The toxin activates G(q)- and G(12/13)-dependent pathways through the deamidation of a glutamine residue in the alpha-subunit of heterotrimeric GTPases. We recently reported the crystal structure of the C terminus (residues 575-1285) of PMT (C-PMT), which is composed of thre...

Sedimentation velocity analytical ultracentrifugation is an important tool in the characterization of macromolecules and nanoparticles in solution. The sedimentation coefficient distribution c(s) of Lamm equation solutions is based on the approximation of a single, weight-average frictional coefficient of all particles, determined from the experimental data, which scales the diffusion coefficie...

Let c = (c1, . . . , cn) be such that c1 ≥ · · · ≥ cn. The c-numerical range of an n×n matrix A is defined by