We classify the paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification is hold for the special cases semi-symmetric and locally symmetric spaces. Finally we study paracontact Riemannian manifolds satisfying R(X, ξ).S = 0, where S is the Ricci tensor.

This paper presents a fluidically loaded microstrip patch antenna on multi-layered substrate with frequency and polarization reconfigurability in the 2400 MHz band. A square at all corners short circuited λg/4 long stubs is utilized. An arrangement of fluidic channels fabricated by moulding Polydimethylsiloxane (PDMS) 3D printed mould incorporated beneath each stub. By injecting or withdrawing ...

The purpose of this study is to improve the aerodynamic performance of wind turbine blades, using the Ball-Spine inverse design method. The inverse design goal is to calculate a geometry corresponds to a given pressure distribution on its boundaries. By calculating the difference between the current and target pressure distributions, geometric boundaries are modified so that the pressure di...

We realize the current algebra of a Kac-Moody algebra as a quotient of a semi-direct product of the Kac-Moody Lie algebra and the free Lie algebra of the Kac-Moody algebra. We use this realization to study the representations of the current algebra. In particular we see that every ad-invariant ideal in the symmetric algebra of the Kac-Moody algebra gives rise in a canonical way to a representat...

This paper presents a simple method to calculate pushover curves for asymmetric structure with displacement-dependent passive energy dissipation devices (DDPEDDs). The method analyzes the deformation of a symmetric structure in translation and in torsion. These results are then combined in order to calculate the pushover curve for an asymmetric structure with DDPEDDs. The numerical results obta...

The form π is unique up to a character twist, while ν is simply the central character of Π. The central character ω of π may be chosen to be of finite order. Moreover, we may choose π such that, for any finite place v, πv is unramified, resp. Steinberg, when Πv ⊗ νv is unramified, resp. Steinberg. Here Ad(π) denotes the Adjoint of π, a selfdual automorphic form on GL(3)/F , defined to be sym2(π...

The Boolean lattice 2[n] is the power set of [n] ordered by inclusion. A chain c0 ⊂ · · · ⊂ ck in 2[n] is rank-symmetric, if |ci|+ |ck−i| = n for i = 0, . . . , k; and it is symmetric, if |ci| = (n− k)/2 + i. We prove that there exist a bijection p : [n] → [n] and a partial ordering < on [n](>n/2) satisfying the following properties: • ⊂ is an extension of < on [n](>n/2); • if C ⊂ [n](>n/2) is ...

A graph is said to be symmetric if its automorphism group acts transitively on its arcs. In this paper, a complete classification of connected pentavalent symmetric graphs of order 12p is given for each prime p. As a result, a connected pentavalent symmetric graph of order 12p exists if and only if p = 2, 3, 5 or 11, and up to isomorphism, there are only nine such graphs: one for each p = 2, 3 ...