let r be a commutative noetherian ring. we study the behavior of injectiveand at dimension of r-modules under the functors homr(-,-) and -×r-.

ABSTRACT The current literature provides many practical tools or theoretical methods to design, plan, and dimension Global System for Mobile Communications (GSM) and Universal Mobile Telecommunications System (UMTS) radio networks but overlooks the algorithms of the network planning and dimensioning for core networks of GSM, UMTS and IP Multimedia Subsystem (IMS). This paper introduces an algor...

In online convex optimization it is well known that objective functions with curvature are much easier than arbitrary convex functions. Here we show that the regret can be significantly reduced even without curvature, in cases where there is a stable optimum to converge to. More precisely, the regret of existing methods is determined by the norms of the encountered gradients, and matching worst...

The problem of optimizing (finding the maximin of) the difference between the entropy functions of two n-dimensional vectors under special restrictions on their components is solved. This optimum gives the main term of the asymptotics for the ε-entropy of an ellipsoid in a Hamming space as the dimension of the space grows.

It is shown that the optimum of an integer program in fixed dimension with a fixed number of constraints can be computed with O(s) basic arithmetic operations, where s is the binary encoding length of the input. This improves on the quadratic running time of previous algorithms, which are based on Lenstra’s algorithm and binary search. It follows that an integer program in fixed dimension, whic...

Ab.macl The dimension of tbe guard lOne along with its bounds for the Generalised Learning Algorithm (P"thak and Pal. 1986) is determined 1'01' optimum learning. The dimension is found to be dynamic dependlllg on the input sequence and tbe current estimates of classification parameters. Incorporation of tbis higher-order knowledge in a supervisory program improves the system performance. The pe...

The aim of this study was to investigate the effects of varying sampling frequencies on fractal analysis of artificial and cerebellar signals. Applying Higuchi's algorithm, we calculated fractal dimension (FD) values of sinus function and rat cerebellar signals (before and after acute brain injury). Various sampling frequences of an artificial signal (as of sinus function, for example) may esse...

Abstract— Memetic Algorithm has been proven to be successful to find the nearest optimum solution to hard combinatorial optimization problems. In this paper, Memetic algorithm is designed for One-dimension Multi-Objective Bin Packing Problem. Memetic Algorithm is a combination of power of Genetic algorithm with the powerful local search technique to focus on the population of local optima. In t...

In this paper we consider an asynchronous direct-sequence code division multiple access (DS-CDMA) communication system over an AWGN channel. We are interested in reducing the computational complexity of a receiver by lowering the dimensionality of the received vector. Dimension reduction has previously been done in an ad hoc manner by several researchers. In this paper we derive an optimum form...

When incorrectly designed, windows can be responsible for unnecessary energy consumption in a building. This may result from its dimensions, orientation and shadowing. In a moderate climate like the Portuguese, and considering an annual thermal comfort assessment of a space, if windows are under-dimensioned or overshadowed, they can contribute to the increase of heating needs. However, when ove...