A parameter robust numerical method for a two dimensional reaction-diffusion problem.

In this paper a singularly perturbed reaction-diffusion partial differential equation in two space dimensions is examined. By means of an appropriate decomposition, we describe the asymptotic behaviour of the solution of problems of this kind. A central finite difference scheme is constructed for this problem which involves an appropriate Shishkin mesh. We prove that the numerical approximations are almost second order uniformly convergent (in the maximum norm) with respect to the singular perturbation parameter. Some numerical experiments are given that illustrate in practice the theoretical order of convergence established for the numerical method

Exact phase space functional for two-body systems

The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its phase dilemma. The corresponding sign rules can equivalently be obtained by minimizing the ground-state energy.Comment: Latex, 12 page

A Renormalization Group Analysis of the NCG constraints m_{top} = 2\,m_W}, mHiggs=3.14 mWm_{Higgs} = 3.14 \, m_W

We study the evolution under the renormalization group of the restrictions on the parameters of the standard model coming from Non-Commutative Geometry, namely $m_{top} = 2\,m_W$ and $m_{Higgs} = 3.14 \, m_W$. We adopt the point of view that these relations are to be interpreted as {\it tree level} constraints and, as such, can be implemented in a mass independent renormalization scheme only at a given energy scale $\mu_0$. We show that the physical predictions on the top and Higgs masses depend weakly on $\mu_0$.Comment: 7 pages, FTUAM-94/2, uses harvma

Fourier analysis on the affine group, quantization and noncompact Connes geometries

We find the Stratonovich-Weyl quantizer for the nonunimodular affine group of the line. A noncommutative product of functions on the half-plane, underlying a noncompact spectral triple in the sense of Connes, is obtained from it. The corresponding Wigner functions reproduce the time-frequency distributions of signal processing. The same construction leads to scalar Fourier transformations on the affine group, simplifying and extending the Fourier transformation proposed by Kirillov.Comment: 37 pages, Latex, uses TikZ package to draw 3 figures. Two new subsections, main results unchange

Gambaran Pengetahuan Keluarga tentang Bahaya Minuman Bersoda bagi Kesehatan di RT 04 Lingkungan 02 Kelurahan Tapuang Kecamatan Tahuna Timur

Rasa minuman soda yang memberi kesan segar itulah yang disukai banyak orang. Akan tetapi dalam mengomsumsi minuman tersebut masyarakat tidak mempertimbangkan bahaya atau dampak yang akan ditimbulkan. Tujuan penelitian ialah untuk mengetahui gambaran pengetahuan keluarga tentang bahaya minuman bersoda di RT 04 Lingkungan 02 Kelurahan Tapuang Kecamatan Tahuna Timur. Metode penelitian ini menggunakan penelitian deskriptif dengan pendekatan survey. Populasi dari penelitian ini adalah seluruluh Kepala Keluarga dengan menggunakan total sampel sebanyak 50 Kepala keluarga. Responden yang bersedia pada saat penelitian ada 45 orang kepala keluarga.Hasil penelitian didapat dari 45 responden. Gambaran pengetahuan keluarga tentang bahaya minuman bersoda bagi kesehatan yangberpengetahuan baik sebanyak 35 responden (78%), 9 responden berpengetahuan cukup (20%), dan 1 responden berpengetahuan kurang (2%). Kesimpulan penelitian ini bahwa sebagian besar responden berpengetahuan baik. Diharapkan agar masyarakat dapat juga mensosialisasikan kepada orang lain terutama kerabat dan keluarga tentang bahaya minuman bersoda bagi kesehatan dan diharapkan dapat mengurangibahkan tidak mengkonsumsi minuman bersoda