In the retinas of many species of lower vertebrates, retinal photoreceptors and pigment epithelium pigment granules undergo daily movements in response to both diurnal, and in the case of teleost cone photoreceptors, endogenous circadian signals. Typically, these cone movements take place at dawn and at dusk when teleosts are maintained on a cyclic light (LD) regime, and at expected dawn and ex...

In [28] Yager and Filev introduced the Induced Ordered Weighted Averaging (IOWA) operator. In this paper, we provide some IOWA operators to aggregate fuzzy preference relations in group decision-making (GDM) problems. These IOWA operators when guided by fuzzy linguistic quantifiers allow the introduction of some semantics or meaning in the aggregation, and therefore allow for a better control o...

We consider the class of quantum spin chains with arbitrary Uq(sl2)-invariant nearest neighbor interactions, sometimes called SUq(2) for the quantum deformation of SU(2), for q > 0. We derive sufficient conditions for the Hamiltonian to satisfy the property we call Ferromagnetic Ordering of Energy Levels. This is the property that the ground state energy restricted to a fixed total spin subspac...

Motivated by the recent suggestion that the 25K phase transition of NpO2 may be explained as octupolar ordering, we study f -electron lattice models which are capable of supporting octupolar, as well dipolar and quadrupolar order. Analyzing the properties of the Γ8 ground state quartet, we find that (111)-type combinations of the Γ5 octupoles T β 111 = T β x +T β y +T β z are the best candidate...

The notion of a strictly maximal point is a concept of proper maximality that plays an important role in the study of the stability of vector optimization problems. The aim of this paper is to study some properties of this notion with particular attention to geometrical aspects. More precisely, we individuate some relationships between strict maximality and the properties of the bases of the or...

Initially, second-order necessary and sufficient optimality conditions in terms of Hadamard type derivatives for the unconstrained scalar optimization problem φ(x)→ min, x ∈ R, are given. These conditions work with arbitrary functions φ, but they show inconsistency with the classical derivatives. This is a base to pose the question, whether the formulated optimality conditions remain true when ...

Let E be a real Banach space and P a cone in E which defines a partial ordering in E by x ≤ y if and only if y − x ∈ P . P is said to be normal if there exists a positive constant N such that θ ≤ x ≤ y implies ||x|| ≤ N||y||, where θ denotes the zero element of E and the smallest N is called the normal constant of P . If x ≤ y and x / y, we write x < y. For details on cone theory, see 1 . In pa...

Several recent papers have explored families of rational polyhedra whose integer points are in bijection with certain numerical semigroups. One such family, first introduced by Kunz, has semigroups fixed multiplicity, and another, Hellus Waldi, corresponding to oversemigroups two generators. In this paper, we provide a combinatorial framework from which study both polyhedra. We introduce new fa...

Semaphorins are a family of secreted and membrane-bound proteins known as axonal pathfinders. Sema4A, a member of class 4 semaphorins, induces growth cone collapse of hippocampal neurons. The binding of Sema4A to growth cones indicates the presence of receptors transmitting signals through the intracellular effectors to induce growth cone collapse in hippocampal neurons. Transfection experiment...