The cohomology theory known as Tmf, for “topological modular forms,” is a universal object mapping out to elliptic cohomology theories, and its coefficient ring is closely connected to the classical ring of modular forms. We extend this to a functorial family of objects corresponding to elliptic curves with level structure and modular forms on them. Along the way, we produce a natural way to re...

A function is a good way of specifying a computation since in each computation the result depends in a certain way on the parameters, and using functions makes a program modular and well-structured. In order to reduce the development effort and future programming costs caused by bugs and maintenance problems, writing well-structured and modular programs has become crucial as software becomes mo...

We present a new lemma stating that, given an arbitrary packing of a set of rectangles into a larger rectangle, a “structured” packing of nearly the same set of rectangles exists. This lemma has several implications on the approximability of 2-dimensional packing problems. In this paper, we use it to show the existence of a polynomial-time approximation scheme for 2-dimensional geometric knapsa...

Paying attention to realistic systems in the actual engineering fields, we must very often treat their systems as stochastic systems with non-Gaussian, nonlinear and/or non-stationary properties. In this paper, a regression analysis method for such stochastic systems is proposed by introducing reasonably a modular structured neural network. The proposed modular structured neural network is cons...

The liquid axial dispersion inside modern structured packings (Sulzer Mellapak™ 500.Y, Raschig Super-Pak 350Y) and one random packing of the 4th generation (Raschig Super-Ring 0.3) was measured by means computed tomography. As gas velocity is known to have little effect on at low hydraulic load, all experiments were conducted without countercurrent flow loads B = 10, 15, 20 m3m−2h−1 in a column...

objective: to evaluate the efficacy of modified perihepatic packing (mphp) in reducing the rate of re-bleeding rate after packing removal. methods: this was an experimental study being performed in shiraz animal laboratory. high grade liver parenchymal injury was induced in 30 transgenic australian rabbits which were then divided into two groups. group a (control) included 14 and group b (exper...

A modular parallel robotic system consists of a collection of individual standard units that can be assembled into various robot configurations for a diversity of task requirements. This paper is focused on the design and kinematic analysis of modular reconfigurable parallel robots. A set of fundamental modules is considered. A local frame representation of the ProductOfExponentials (POE) formu...