Critique [of The Ethnic Matrix: Implications for Human Service Practitioners by Jesse M. Vazquez]

Vazquez\u27s psychosocial model for understanding ethnicity and the ethnic process in American society and how this model could be used by practitioners and researchers to further expand their own work is noble. Vazquez fulfilled his purpose. However, the underlying assumption is somewhat misleading, i.e., practitioners and researchers, generally, are not employing the ethnic matrix model. Vazquez states that the absence of ethnic content and concern with ethnic issues in professional training programs was seriously questioned

Vazquez v. Ragonese

USDC for the District of New Jerse

Emilio Vazquez, violin

Johann Sebastian BachJohn AdamsLudwig van BeethovenMaurice Rave

Well-posedness, energy and charge conservation for nonlinear wave equations in discrete space-time

We consider the problem of discretization for the U(1)-invariant nonlinear wave equations in any dimension. We show that the classical finite-difference scheme used by Strauss and Vazquez \cite{MR0503140} conserves the positive-definite discrete analog of the energy if the grid ratio is $dt/dx\le 1/\sqrt{n}$, where $dt$ and $dx$ are the mesh sizes of the time and space variables and $n$ is the spatial dimension. We also show that if the grid ratio is $dt/dx=1/\sqrt{n}$, then there is the discrete analog of the charge which is conserved. We prove the existence and uniqueness of solutions to the discrete Cauchy problem. We use the energy conservation to obtain the a priori bounds for finite energy solutions, thus showing that the Strauss -- Vazquez finite-difference scheme for the nonlinear Klein-Gordon equation with positive nonlinear term in the Hamiltonian is conditionally stable.Comment: 10 page

Vazquez v. Rossnagle

USDC for the Eastern District of Pennsylvani

Vazquez v. Wilson

USDC for the Eastern District of Pennsylvani

USA v. Vazquez

USDC for the Eastern District of Pennsylvani