This paper deals with the basic notions of k-tautimmersions . These notions come from two special cases; that is, tight and taut immersions. Tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. We generalize hight and distance functions to cylindrical function and define basic notions of k-taut ...

The main objective of this article is to give a survey on elementary functions in the context of quaternionic analysis. We define some of their more common properties, which as in the real and complex cases, will be familiar to the reader. This leads to the consideration of quaternion-valued functions depending on a quaternion variable, that is, functions whose input and output are quaternions....

The transfer function of a linear mechanical system can be defined in terms the quadruplet state-space matrices (A,B,C,D) that identified from input and output measurements with subspace-based identification methods. estimation has been well studied literature both theoretical practical viewpoints. Nonetheless, algorithm for uncertainty quantification its errors resultant parametric is missing ...

Instructors’ difficulties in judging whether linguistic material is suitable for their students' level seem to have been aggravated during the pandemic (Conti, 2021). In this situation, there risk of exposing learners inappropriate input, which can be detrimental language acquisition. The proposed solution, (modified-)elaborated designed increase comprehensibility without sacrificing richness a...

In this paper, we propose a steepest descent algorithm based on the natural gradient to design the controller of an open-loop stochastic distribution control system (SDCS) of multi-input and single output with a stochastic noise. Since the control input vector decides the shape of the output probability density function (PDF), the purpose of the controller design is to select a proper control i...

Speaker recognition systems classify a test signal as a speaker or an imposter by evaluating a matching score between input and reference signals. We propose a new information theoretic approach for computation of the matching score using the Rényi entropy. The proposed entropic distance, the Kernelized Rényi distance (KRD), is formulated in a non-parametric way and the resulting measure is eff...

A variable look-ahead controller for the lateral guidance of vehicles for Automated Highway Systems is proposed. The control objective is to make the lateral error at a certain point ahead of the vehicle zero. The distance of this point from the vehicle is called the look-ahead distance. An input-output linearization controller to achieve this objective is proposed. It is shown that the yaw int...