Towards a descriptive set theory for domain-like structures

TOPOLOGY OPTIMIZATION OF PLANE STRUCTURES USING BINARY LEVEL SET METHOD AND ISOGEOMETRIC ANALYSIS

This paper presents the topology optimization of plane structures using a binary level set (BLS) approach and isogeometric analysis (IGA). In the standard level set method, the domain boundary is descripted as an isocountour of a scalar function of a higher dimensionality. The evolution of this boundary is governed by Hamilton–Jacobi equation. In the BLS method, the interfaces of subdomai...

Towards Synthetic Descriptive Set Theory: An instantiation with represented spaces

Using ideas from synthetic topology, a new approach to descriptive set theory is suggested. Synthetic descriptive set theory promises elegant explanations for various phenomena in both classic and effective descriptive set theory. Presently, we mainly focus on developing the ideas in the category of represented spaces.

AN OPTIMUM APPROACH TOWARDS SEISMIC FRAGILITY FUNCTION OF STRUCTURES THROUGH METAHEURISTIC HARMONY SEARCH ALGORITHM

Vulnerability assessment of structures encounter many uncertainties like seismic excitations intensity and response of structures. The most common approach adopted to deal with these uncertainties is vulnerability assessment through fragility functions. Fragility functions exhibit the probability of exceeding a state namely performance-level as a function of seismic intensity. A common approach...

The Study of Stage-like Development of Morpho-syntactic Structures in EFL Learners’ Writing Performance: A Processability Theory Account for Cases of “Plural -s” and “Adverb Fronting”

TOWARDS THE THEORY OF L-BORNOLOGICAL SPACES

The concept of an $L$-bornology is introduced and the theory of $L$-bornological spacesis being developed. In particular the lattice of all $L$-bornologies on a given set is studied and basic properties ofthe category of $L$-bornological spaces and bounded mappings are investigated.