The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions.

The three-way table problem is to decide if there exists an l × m × n table satisfying given line sums, and find a table if yes. Recently, it was shown to be fixed-parameter tractable with parameters l, m. Here we extend this and show that the huge version of the problem, where the variable side n is encoded in binary, is also fixed-parameter tractable with parameters l, m. We also conclude tha...

In line with the current research on the ultimate strength assessment of ship hull girders, careful understanding of the collapse behaviour of unstiffened plate elements within the ship hull girders is an important and necessary task. In this paper, the collapse behaviour of unstiffened plates under longitudinal and transverse thrust is studied by elastoplastic large deflection FEM and the char...

Figure 1: Size of hull vs. size of set 1 has a very small number of points on its convex hull in relation to the size of the whole set. In set P2, all points in the set are on the convex hull. Is there an algorithm which is output sensitive in relation to the number of points on the convex hull? It turns out there is such an algorithm KirkpatrickSeidel Marriage Before Conquest. Its complexity, ...

A fast SVM learning algorithm is proposed according to incremental learning and center convex hull operator. It is established on analyzing the relevance of support vector and convex hull from the angle of calculation geometry. The convex hull of current training samples is solved in the first place. Further, Euclidean distance elimination is applied to convex hull. Meanwhile, every time when t...

We prove a general Borg-type result for reflectionless unitary CMV operators U associated with orthogonal polynomials on the unit circle. The spectrum of U is assumed to be a connected arc on the unit circle. This extends a recent result of Simon in connection with a periodic CMV operator with spectrum the whole unit circle. In the course of deriving the Borg-type result we also use exponential...

Let M be a close complex manifold and T M its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then M is a complex homogeneous manifold. It implies that every irreducible close Kähler manifold with ample tangent bundle is isomorphic to the projective space. This provides an alternative proof of Hartshore's conjecture in algebrai...

Biometrics is a science that deals with human identification on the basis of our biological features. Therefore, Biometrics belongs to Pattern Recognition and is part of it. Biometric examples are all features we are born with like facial image, finger-prints, iris of the eye, . . . or the features we learn in our life like the way we write (signature), the way we walk (gait) or any of the beha...