In this work, analytical solutions are provided to the nonlinear equations arising in thermal and flow-induced vibration in fluid-conveying structures using Galerkin-differential transformation method with cosine aftertreatment technique. From the analysis, it was established that increase of the length and aspect ratio of the fluid-conveying structures result in decrease the nonlinear vibratio...

In this paper, we revisit the linear transformation for VTLN on conventional MFCC proposed by Sanand et al. in [1], using the idea of band-limited interpolation. The filter-bank is modified to include half-filters at zero and nyquist frequencies, as the full symmetric spectrum is required for performing bandlimited interpolation. In this paper, we show that the filter-bank with half-filters doe...

Theorems on the convex hull of an extended real-valued function living on a Hilbert space are presented in case the function is separable and in case the function is a composition of another function and a linear transformation. Equivalence of convex hulls of functions and their biconjugates is used. In particular, it is shown that under properness conditions the biconjugate of a separable func...

The generalization of the classical Poisson sum formula, by replacing the ordinary Fourier transform by the canonical transformation, has been derived in the linear canonical transform sense. Firstly, a new sum formula of Chirp-periodic property has been introduced, and then the relationship between this new sum and the original signal is derived. Secondly, the generalization of the classical P...

Linear grouping is a technique where linear relationship information is gathered for a set of rigid points. This information is used to accelerate vertex transformation, vertex clipping, texture transformation, etc. The linear grouping technique is an optimization problem, originally implemented in a best-first branch-and-bound search. In this paper, we introduce several new extensions and impr...

Linear logic programming has recently been proposed and shown to be able to integrate a wide range of mechanisms for concurrent computation uniformly in terms of proof search. This paper introduces several process equivalence relations for linear logic programming and investigate relationships between them in order to establish foundations for program transformation in linear logic programming....