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- Kathy Dopp, Frank Stenger
- 2006

The elections industry is the only major industry not routinely subjected to independent manual audits. In any field, electronic mistakes or tampering 2 would go undetected in the absence of audits. Banks, churches and businesses are subjected to routine independent audits to detect and prevent errors and embezzlement. Virtually all U.S. votes will be… (More)

This paper describes an algorithm for the solution of a system of nonlinear equations F(X)-O, where 0 = (0. .. .. 0) ~ R", and F is a gwen continuous transformation of n-dimensional simplex S into R"(n >_ 2) The program is based on computation of the topological degree ((leg) of a mapping and a slmplex-b~sectlon scheme. The algorithm is primarily useful for… (More)

We describe a family of optimal quadrature formulas for approximating the integral fw-'(I-,,,]) [(z) dz, where f belongs to the Hardy's class Hp(D), 1 < p <-+0% D is an open simply connected domain in the complex plane, and w is a conformal map of D onto the unit disk U. We consider four different classes of domains D~, 0 < d <-Ir/2, t = 1, 2, 3, 4. If the… (More)

In this paper we solve two biharmonic problems over a square, B = (−1, 1) × (−1, 1). (1) The problem ∇ 4 U = f , for which we determine a particular solution, U , given f , via use of Sinc convolution; and (2) The boundary value problem ∇ 4 V = 0 for which we determine V given V = g and normal derivative Vn = h on ∂B, the boundary of B. The solution to this… (More)