This paper presents a numerical investigation on the closed-loop performance of a two-dimensional actuated membrane wing with fixed supports. The proposed concept mimics aerodynamic sensing and actuation mechanisms found in bat wings to achieve robust outdoor flight: firstly, variable membrane tension, which is obtained in bats through skeleton articulation, is introduced through a dielectric-e...

As an extension of the class of half condensed domains introduced by D.D. Anderson and Dumitrescu, we introduce and study the class of almost condensed domains. An integral domain D is almost condensed if whenever 0 ̸= z ∈ IJ with I, J ideals of D, there exist I ′, J ′ ideals of D such that I ′ ⊆ Iw, J ′ ⊆ Jw and zD = (I ′J )w. In 1983, D.F. Anderson and D.E. Dobbs [13] called an integral domain...

To each finitely presented module M over a commutative ring R one can associate an R-ideal FitR(M) which is called the (zeroth) Fitting ideal of M over R and which is always contained in the R-annihilator of M . In an earlier article, the second named author generalised this notion by replacing R with a (not necessarily commutative) o-order Λ in a finite dimensional separable algebra, where o i...

This paper describes the concepts of Strictly Positive Definite, Universal, Integrally C0-Universal for Gaussian kernel on a Hilbert space. As consequence we obtain similar characterization an important family kernels studied and developed by Schoenberg also spatial-time popular in geostatistics, Gneiting class, its generalizations. Either using techniques, or direct spaces, characterize same d...

Let R be an integral domain and I a nonzero ideal of R. An ideal J ⊆ I is a t-reduction of I if (JI)t = (I)t for some positive integer n; and I is t-basic if it has no t-reduction other than the trivial ones. This paper investigates t-reductions of ideals in pullback constructions of type . Section 2 examines the correlation between the notions of reduction and t-reduction in pseudo-valuation d...

Let R be an integral domain and let Q denote the quotient field of R. We investigate the structure of R-submodules of Q that are Q-irreducible, or completely Q-irreducible. One of our goals is to describe the integral domains that admit a completely Q-irreducible ideal, or a nonzero Q-irreducible ideal. If R has a nonzero finitely generated Q-irreducible ideal, then R is quasilocal. If R is int...

Infrastructure Enabled Autonomy (IEA) is a new paradigm that employs a distributed intelligence architecture for connected autonomous vehicles by offloading core functionalities to the infrastructure. In this paper, we develop a simulation framework that can be used to study the concept. A key challenge for such a simulation is the rapid increase in the scale of the computations with the size o...

This will be a course on arithmetic invariant theory. The goal of the course is to understand orbits of representations of algebraic groups over non-algebraically closed fields and eventually over Z. We will focus on representations that arise “naturally” from number theory, algebraic geometry, Vinberg theory, knot theory etc. 1 Let G be an algebraic group acting “integrally” on a vector space ...