This paper presents a novel architecture of SOM which organizes itself over time. The proposed method called MIGSOM (Multilevel Interior Growing Self-Organizing Maps) which is generated by a growth process. However, the network is a rectangular structure which adds nodes from the boundary as well as the interior of the network. The interior nodes will be added in a superior level of the map. Co...

We prove some structure results for isometries between noncommutative L spaces associated to von Neumann algebras. We find that an isometry T : L(M1) → L(M2) (1 ≤ p < ∞, p 6= 2) can be canonically expressed in a certain simple form whenever M1 has variants of Watanabe’s extension property [W2]. Conversely, this form always defines an isometry provided that M1 is “approximately semifinite” (defi...

A Web-based interior design application system, named Multiuser Interior Design (MID), is presented. Technologies from virtual reality (VR), the Web, and database are used to implement MID. It allows users to operate in the VR fashion, interacting with 3D virtual objects and spaces through a Web browser. Users can view and elaborate designs, examine furniture, and even place purchase orders of ...

Solution methods for very large scale optimization problems are addressed in this paper. Interior point methods are demonstrated to provide unequalled efficiency in this context. They need a small (and predictable) number of iterations to solve a problem. A single iteration of interior point method requires the solution of indefinite system of equations. This system is regularized to guarantee ...

We introduce a notion of rank completion for bi-modules over a finite tracial von Neumann algebra. We show that the functor of rank completion is exact and that the category of complete modules is abelian with enough projective objects. This leads to interesting computations in the L 2-homology for tracial algebras. As an application, we also give a new proof of a Theorem of Gaboriau on invaria...

Mosque architecture is considered as a potent visual symbol of the Islamic architects’ design ability. Prayer-hall as the manifestation of equality between the believers and the unity of architectural space has challenged such an ability throughout the history. This study, considering the characteristics of light-openings in the domes of Iranian mosques’ Prayer-hall, aims to investigate thes...

Purpose – The purpose of this study was to introduce a sustainability course to interior design students and explore how working with industry could address challenges with integrating sustainability education into and ensuring student motivation in non-studio courses. Design/methodology/approach – This is a case study presenting qualitative evaluation from the 15-week “IAED 342 Sustainable Des...