An analytic method forS-Expansion involving resonance and reduction

Analytic Functions Involving Complex Order

and Applied Analysis 3 Definition 1.1 Hadamard product or convolution . For functions f and g in the class A, where f z of the form 1.1 and g z is given by g z z ∞ ∑ k 2 ckz , 1.8 the Hadamard product or convolution f ∗ g z is defined by ( f ∗ g z z ∞ ∑ k 2 akbkz k ( g ∗ f z , z ∈ U. 1.9 Definition 1.2 subordination principle . For analytic functions g and hwith g 0 h 0 , g is said to be subord...

An Analytic Center Cutting Plane Method

Semideenite feasibility problems arise in many areas of operations research. The abstract form of these problems can be described as nding a point in a nonempty bounded convex body ? in the cone of symmetric positive semideenite matrices. Assume that ? is deened by an oracle, which, for any given m m symmetric matrix ^ Y , either connrms that ^ Y 2 ? or returns a cut, i.e., a symmetric matrix A...

Computing π(x): An Analytic Method

An Analytic Method for Predicting Simulation Parallelism

The ability to predict the performance of a simulationapplication before its implementation is an important factor to the adoption of parallel simulation technology in industry. Ideally, a simulationist estimates the inherent parallelism of a simulation problem to determine whether it is worthwhile to invest resources to carry out a parallel simulation. In this paper, we proposed an analytic me...

An analytic method for longitudinal mortality studies.

Our knowledge of mortality risks comes largely from longitudinal (cohort) studies. The most commonly used analytic tool is the Cox proportional hazards model for survival analysis. An alternative approach is a simple cross-sectional analysis of person-years. The key to the method is logistic regression, where the outcome variable is lived/died in the given year and the explanatory variables are...