We give a global version of Lê-Ramanujam μ-constant theorem for polynomials. Let (ft), t ∈ [0, 1], be a family of polynomials of n complex variables with isolated singularities, whose coefficients are polynomials in t. We consider the case where some numerical invariants are constant (the affine Milnor number μ(t), the Milnor number at infinity λ(t), the number of critical values, the number of...

M/G/C/C state dependent queuing networks consider service rates as a function of the number of residing entities (e.g., pedestrians, vehicles, and products). However, modeling such dynamic rates is not supported in modern Discrete Simulation System (DES) software. We designed an approach to cater this limitation and used it to construct the M/G/C/C state-dependent queuing model in Arena softwar...

The maximum-likelihood (ML) solution to a simple phylogenetic estimation problem is obtained analytically The problem is estimation of the rooted tree for three species using binary characters with a symmetrical rate of substitution under the molecular clock. ML estimates of branch lengths and log-likelihood scores are obtained analytically for each of the three rooted binary trees. Estimation ...

We study the dynamics of a system made up of particles of two different species undergoing irreversible quadratic autocatalytic reactions: A + B → 2A. We especially focus on the reaction velocity and on the average time at which the system achieves its inert state. By means of both analytical and numerical methods, we are also able to highlight the role of topology in the temporal evolution of ...

We compute and color code the curvature of tangent curves of a 2D vector eld and apply this as a new visualization technique for ow elds. This way critical points of general topology can clearly be recognized in the visualization. We show that the curvature of tangent curves can be computed in a simple way without using any numerical integration even if a closed formula of the tangent curves th...

The notion of a weak multiresolution analysis is defined over an arbitrary field in terms of cyclic modules for a certain affine group ring. In this setting the basic properties of weak multiresolution analyses are established, including characterizations of their submodules and quotient modules, the existence and uniqueness of reduced scaling equations, and the existence of wavelet bases. Thes...

The research aimed to analyze the performance of regional income, expenditure budget, and budget revenue at Regional Finance Board Pamekasan Regency during 2013-2016. In this descriptive quantitative research, data source was Expenditure's financial by considering Budget Realization Report's information (Laporan Realisasi Anggaran/LRA). analysis involved a three-step analysis, variance growth e...

The author introduces the main content of the research on the GIS-based regional agricultural analysis system of competitive industries, including the significance, the main contents and the implementation methods of the research, focusing on the classification of agricultural economic indicators for regional competitive industries, on the realization of regional choice based on GIS, and on the...