In earlier papers we studied direct limits (G,K) = lim −→ (Gn,Kn) of two types of Gelfand pairs. The first type was that in which the Gn/Kn are compact riemannian symmetric spaces. The second type was that in which Gn = Nn ⋊ Kn with Nn nilpotent, in other words pairs (Gn,Kn) for which Gn/Kn is a commutative nilmanifold. In each we worked out a method inspired by the Frobenius–Schur Orthogonalit...

This paper is concerned with the control of nonlinear pure-feedback systems with unknown nonlinear functions. This problem is considered di/cult to be dealt with in the control literature, mainly because that the triangular structure of pure-feedback systems has no a/ne appearance of the variables to be used as virtual controls. To overcome this di/culty, implicit function theorem is 0rstly exp...

The two quotes above suggest alternate ideas about the sources of happiness. The first (written around AD 180) is nn Aristotelian notion. Happiness is a way of living, not a state. The second quote (written some 1500 years later) suggests ideas about the sources of happiness perhaps more akin to the way that we tend to view [hem today. Happiness is about conviviality, warmth. food (and perhaps ...

conventional methods of pear breeding, largely based on intra- and inter-specific hybridization, are difficult because pear is highly heterozygous, polygenic and has a long juvenile period. genetic improvements of pear cultivars are possible through induction of mutations and gene transfer by genetic engineering. a general prerequisite for these approaches is to establish an efficient plant reg...

‎Let $G$ be a finite and simple graph with vertex set $V(G)$‎. ‎A nonnegative signed total Roman dominating function (NNSTRDF) on a‎ ‎graph $G$ is a function $f:V(G)rightarrow{-1‎, ‎1‎, ‎2}$ satisfying the conditions‎‎that (i) $sum_{xin N(v)}f(x)ge 0$ for each‎ ‎$vin V(G)$‎, ‎where $N(v)$ is the open neighborhood of $v$‎, ‎and (ii) every vertex $u$ for which‎ ‎$f(u...

control of robotic systems is an interesting subject due to their wide spectrum applications in medicine, aerospace and other industries. this paper proposes a novel continuous control mechanism for tracking problem of a 5-dof upper-limb exoskeleton robot. the proposed method is a combination of a recently developed robust integral of the sign of the error (rise) feedback and neural network (nn...