The complex-logarithmic number system (CLNS), which represents each complex point in log/polar coordinates, may be practical to implement the Fast Fourier Transform (FFT). The roots of unity needed by the FFT have exact representations in CLNS and do not require a ROM. We present an error analysis and simulation results for a radix-two FFT that compares a rectangular xed-point representation of...

Objectives: The determine the frequency of how common white spot lesions in orthodontic patients .Materials and Methods: A total 147 who visited Orthodontics department at Khyber College Dentistry, Peshawar were included study. Intraoral pictures acquired using a DSLR camera before after therapy (6 months fi xed device insertion) (D600). development was evaluated between pre post-therapy photos...

Synopsis. We introduce a domain-theoretic foundation for disjunctive logic programming. This foundation is built on clausal logic, a representation of the Smyth powerdomain of a coherent algebraic dcpo. The robustness of this approach comes from the agreement bewteen the declarative semantics and the xed-point semantics, as well as the agreement between the xed-point semantics and the semantics...

We investigate circuit complexity under the additional assumption of full combinatorial symmetry with respect to permutations of the input representation. With this approach we derive a very natural and simple characterization of rst-order logic and its innnitary variant with bounded numbers of variables over nite structures. Extending these results to not necessarily acyclic boolean networks, ...

In this paper we summarize a dual-time scale formulation of dynamic user equilibrium with demand growth due to Friesz et al (2008). This formulation belongs to the problem class that Pang and Stewart (2008) refer to as di¤erential variational inequalities. We also present a …xed point algorithm for computing solutions to the dual time-scale model without calculating derivatives, along with a nu...

We present some experiences with the problem of multiple genome comparison , analogous to multiple sequence alignment in sequence comparison, under the inversion and transposition distance metrics, given a xed phylogeny. We rst describe a heuristic for the case in which phylogeny is a star on three vertices and then use this to approximate the multiple genome comparison problem via local search.

H ow has language developed in humans and what genetic changes underlie our unique cognitive abilities? Accounts of positive selection that lead to such abilities in humans fascinate us because of the insight they provide into our own evolution, and into the many genetic differences that distinguish us from other apes. The genes that became fi xed in our lineage as a result of positive selectio...

A dynamic antigen response of the immune network is discussed, based on shape-space modelling. The present model extends the shape-space modelling by introducing the evolution of speci"city of idiotypes. When the amount of external antigen increases, a measure of stability of the immune network is lost and thus the network can respond to the antigen. It is shown that speci"c and non-speci"c res...

This technical memo describes a fast point-based method for computing diffuse global illumination (color bleeding). The computation is 4–10 times faster than ray tracing, uses less memory, has no noise, and its run-time does not increase due to displacementmapped surfaces, complex shaders, or many complex light sources. These properties make the method suitable for movie production. The input t...

We propose a method to axiomatize by equations the least pre$xed point of an order preserving function. We discuss its domain of application and show that the Boolean modal -calculus has a complete equational axiomatization. The method relies on the existence of a “closed structure” and its relationship to the equational axiomatization of Action Logic is made explicit. The implication operation...