This paper considers strongly continuous semigroups of operators on Banach lattices which are locally eventually positive, a property that was first investigated in the context concrete fourth-order evolution equations. We construct simple example to show typical assumptions spectrum semigroup generator considered currently literature far from necessary more general setting local eventual posit...

We show that every AF-algebra is generated by a single operator. This was previously unclear, since the invariant assigns to C ⁎ -algebra its minimal number of generators lacks natural permanence properties. In particular, it may increase when passing ideals or inductive limits. To obtain better behaved theory, we not only ask if n elements, but also generating -tuples are dense. defines genera...

Long Range 2 tankers are the largest ships used for transportation of petroleum products. Although more than 400 navigating world’s sea, many terminals, at which these discharge their cargo, do not utilize discharging capacity to full extent. This is due technological obsolescence terminal and fact that terminals primarily designed accommodate smaller tankers, such as Medium 1 tankers. The redu...

We generalize the exact predictive regularity of symmetry groups to give an algebraic theory patterns, building from a core principle future equivalence. For topological patterns in fully-discrete one-dimensional systems, equivalence uniquely specifies minimal semiautomaton. demonstrate how latter and its semigroup algebra generalizes translation partial hidden symmetries. This generalization i...

Let $${\mathbb {F}}_q$$ be a finite field of order $$q=p^m$$ , where p is an odd prime. This paper presents the study self-dual and LCD double circulant codes over class commutative non-chain rings $$R_q={\mathbb {F}}_q+u{\mathbb {F}}_q+u^2{\mathbb {F}}_q+\cdots +u^{q-1}{\mathbb $$u^q=u$$ . Here, whole contribution two-folded. First, we enumerate length 2n $$R_q$$ n integer. Then by considering...

Minimal generators (ormingen) constitute a remarkable part of the closure space landscape since they are the antipodes of the closures, i.e., minimal sets in the underlying equivalence relation over the powerset of the ground set. As such, they appear in both theoretical and practical problem settings related to closures that stem from fields as diverging as graph theory, database design and da...

a group g is said to be a (pf)c-group or to have polycyclic-by-finite conjugacy classes, if g/c_{g}(x^{g}) is a polycyclic-by-finite group for all xin g. this is a generalization of the familiar property of being an fc-group. de falco et al. (respectively, de giovanni and trombetti) studied groups whose proper subgroups of infinite rank have finite (respectively, polycyclic) conjugacy classes. ...

Let S be a shift-invariant subspace of L2(Rn) defined by N generators and suppose that its length L, the minimal number of generators of S, is smaller than N . Then we show that at least one reduced family of generators can always be obtained by a linear combination of the original generators, without using translations. In fact, we prove that almost every such combination yields a new generato...

a critical protection requirement for grid connected distributed generators (dg) is anti-islanding protection. in this paper, a new islanding detection method for any possible network loading is proposed based on utilizing and combining various system parameter indices. in order to secure the detection of islanding, eight intentional disturbances are imposed to the system under study in which t...

In recent years there has been a growing interest in the field of dynamic walking and bio-inspired robots. However, while walking and running on a flat surface have been studied extensively, walking dynamically over terrains with varying slope remains a challenge. Previously we developed an open loop controller based on a central pattern generator (CPG). The controller applied predefined torque...