The aim of this paper is to introduce and study a new concept of the χ space via ideal convergence defined by modulus and also some topological properties of the resulting sequence spaces were examined. Mathematics Subject Classification: 40A05, 40A99 4098 N. Kavitha, N. Saivaraju and N. Subramanian

Our first contribution in this paper is a theoretical investigation of curriculum learning in the context of stochastic gradient descent when optimizing the least squares loss function. We prove that the rate of convergence of an ideal curriculum learning method in monotonically increasing with the difficulty of the examples, and that this increase in convergence rate is monotonically decreasin...

Technology selection is an important part of management of technology. Recently Karsak and Ahiska (2005) proposed a novel common weight multiple criteria decision making (MCDM) methodology for selection of the best Advanced Manufacturing Technology (AMT) candidates based on a number of attributes. However, Amin et al. (2006), by means of a numerical example demonstrated the convergence difficul...

in this paper, we introduce a new generalization of weakly prime ideals called $i$-prime. suppose $r$ is a commutative ring with identity and $i$ a fixed ideal of $r$. a proper ideal $p$ of $r$ is $i$-prime if for $a, b in r$ with $ab in p-ip$ implies either $a in p$ or $b in p$. we give some characterizations of $i$-prime ideals and study some of its properties.  moreover, we give conditions  ...

For P a poset or lattice, let Id(P ) denote the poset, respectively, lattice, of upward directed downsets in P, including the empty set, and let id(P ) = Id(P )−{∅}. This note obtains various results to the effect that Id(P ) is always, and id(P ) often, “essentially larger” than P. In the first vein, we find that a poset P admits no <-respecting map (and so in particular, no one-to-one isotone...

This paper shows that any compactly generated lattice is a subdirect product of subdirectly irreducible lattices which are complete and upper continuous. An example of a compactly generated lattice which cannot be subdirectly decomposed into subdirectly irreducible compactly generated lattices is given. In the case of an ideal lattice of a lattice L, the decomposition into subdirectly irreducib...

In power system transmission network, the problem of improvement in voltage profile is a task that must be evaluated in an ideal way. The paper presents a QueenBee -Assisted GA based optimization for improvement in voltage profile of power system transmission network. This algorithm has been used to evaluate power engineering optimization problems adopting desirable results than traditional tec...

In this article we briefly summarize how converging technologies challenge elements of the existing symbolic order, as shown in the contributions to this special issue. We then identify the vision of 'life as a do it yourself kit' as a common denominator in the various forms of convergence and proceed to show how this vision provokes unrest and debate about existing moral frameworks and taboos....

Abstract: We focus on the performances of tree-structured wavelet estimators belonging to a large family of keep-or-kill rules, namely the Vertical Block Thresholding family. For each estimator, we provide the maximal functional space (maxiset) for which the quadratic risk reaches a given rate of convergence. Following a discussion on the maxiset embeddings, we identify the ideal estimator of t...

This paper presents a lower-bound result on the computational power of a genetic algorithm in the context of combinatorial optimization. We describe a new genetic algorithm, the merged genetic algorithm, and prove that for the class of monotonic functions, the algorithm nds the optimal solution, and does so with an exponential convergence rate. The analysis pertains to the ideal behavior of the...