Herein we report the syntheses of two porous hyper-crosslinked polymers (HCPs) via thiol-yne reaction with rigid tetrahedral and pseudo-octahedral core structures. Sorption measurements with nitrogen gas at 77 K revealed BET-surface areas up to 650 m²/g. Those networks also showed a high thermal stability as well as insolubility in common organic solvents.

Let P 6= 0 be arbitrary. It was Lie who first asked whether Artinian, continuously universal, right-continuously hyper-open vector spaces can be studied. We show that Ĩ < k. Is it possible to characterize paths? It has long been known that L̃ ≡ 0 [31].

Critical unmet clinical needs are the treatment of epilepsy without side effects and prevention of sudden unexpected death in epilepsy, or SUDEP. In this issue of Neuron, Qi et al. (2014), define how hyper-SUMOylation impacts K(+) channel activity in vivo and could serve as a potential pathway for development of novel epilepsy therapeutics.

We consider the geometric quantisation of Chern--Simons theory for closed genus-one surfaces and semisimple complex groups. First we introduce natural complexified analogue Hitchin connection in K\{a}hler quantisation, with polarisations coming from nonabelian Hodge hyper-K\{a}hler geometry moduli spaces flat connections, thereby complementing real-polarised approach Witten. Then Witten, identi...

Here we investigate meaningful families of vector bundles on a very general polarized K3 surface (X, H) and the corresponding Hyper–Kähler variety given by Hilbert scheme points $$X^{[k]}:= {\textrm{Hilb}}^k(X)$$ , for any integer $$k \geqslant 2$$ . In particular, prove results concerning bigness stability such bundles. First, give conditions integers n that twist tangent bundle X line nH is b...

In this paper, we describe the fixed locus of a symplectic involution on hyper-Kähler manifold type K 3 [ n ] $K3^{[n]}$ or Kummer $n$ type. We prove that consists finitely many copies deformations Hilbert schemes $K3$ surfaces lower dimensions and isolated points.

In this paper rst we dene the notions of positive implicativehyper MV -ideals of types 1,2,3 and 4 in hyper MV -algebras and we investigatethe relationship between of them . Then by some examples we show that thesenotions are not equivalent. Finally we give some relations between these notionsand the notions of (weak) hyper MV -ideals and (weak) hyper MV -deductivesystems of hyper MV -algebras.

In this paper, hyper-Fibonacci and hyper-Lucas polynomials are defined some of their algebraic combinatorial properties such as the recurrence relations, summation formulas, generating functions presented. addition, relationships between given.

We consider a residue form for a singular hypersurface K with isolated singularities. Suppose there are neighbourhoods of the singular points with coordinates in which hypersurface is described by quasihomogeneous polynomials. We find a condition on the weights under which the norm of the Leray residue form is square integrable. For dim K ≥ 2 all simple singularities satisfy this condition. The...

In this paper, we present a two-stage process for developing feature extractors (FEs) for facial recognition. In this process, a genetic algorithm is used to evolve a number of local binary patterns (LBP) based FEs with each FE consisting of a number of (possibly) overlapping patches from which features are extracted from an image. These FEs are then overlaid to form what is referred to as a hy...