Watt’s bath and pulse reverse (PR) electrodeposition is used to produce spherical nickelmultiwall carbon nanotubes (Ni-MWCNT) of 2.00, 0.93, 1.63 and 6.71 μm diameter and a variety ofsize distributions. For 60 cycles, an absolute electrodeposition current of 18 A/dm2 is applied atcurrent ratios of ii = idissolution/ideposition = 0, 0.077, 0.200 and 0.368. A simple exponential equation isfitted ...

We study the skein algebra of genus 2 surface and its action on module handlebody. compute this explicitly, we describe how decomposes over certain subalgebras in terms polynomial representations double affine Hecke algebras. Finally, show that is isomorphic to t = q specialisation two spherical recently defined by Arthamonov Shakirov.

Torsional vibrations of composite poroelastic dissipative spherical shell are investigated in the framework of Biot’s extension theory.Here composite poroelastic spherical shell consists of two spherical shells, one is placed on other, and both are made of different poroelastic materials. Consideration of the stress-free boundaries of outer surface and the perfect bonding between two shells lea...

This paper describes our Skein-512 hardware implementation. Skein is a semi-finalist in the NIST hash competition to create SHA-3, with Skein-512 being the primary submission. We compare our implementation of Skein-512 with other published hardware implementations of Skein, and with similar implementations for SHA-1 and SHA-2. We discuss four variations of our critical path to explore the throu...

Jozef Przytycki introduced skein modules of 3-manifolds and skein deformation initiating algebraic topology based on knots. We discuss the generalized skein modules of Walker, defined by fields and local relations. Some results by Przytycki are proven in a more general setting of fields defined by decorated cell-complexes in manifolds. A construction of skein theory from embedded TQFT-functors ...

We study the concept of the fourth skein module of 3-manifolds, that is a skein module based on the skein relation b0L0 + b1L1 + b2L2 + b3L3 = 0 and a framing relation L = aL (a, b0, b3 invertible). We give necessary conditions for trivial links to be linearly independent in the module. We investigate the behavior of elements of the skein module under the n-move and compute the values for (2, n...

In this paper we work toward the Homflypt skein module of the lens spaces L(p, 1), S(L(p, 1)), using braids. In particular, we establish the connection between S(ST), the Homflypt skein module of the solid torus ST, and S(L(p, 1)) and arrive at an infinite system, whose solution corresponds to the computation of S(L(p,1)). We start from the Lambropoulou invariant X for knots and links in ST, th...

Given a Heegaard splitting of a closed 3-manifold, the skein modules of the two handlebodies are modules over the skein algebra of their common boundary surface. The zeroth Hochschild homology of the skein algebra of a surface with coefficients in the tensor product of the skein modules of two handlebodies is interpreted as the skein module of the 3-manifold obtained by gluing the two handlebod...

The compression properties and electrical conductivity of in-situ 20 vol.% nano-sized TiCx/Cu composites fabricated via combustion synthesis and hot press in Cu-Ti-CNTs system at various particles size and morphology were investigated. Cubic-TiCx/Cu composite had higher ultimate compression strength (σUCS), yield strength (σ0.2), and electric conductivity, compared with those of spherical-TiCx/...

We define for each group G the skein algebra of G. We show how it is related to the Kauffman bracket skein modules. We prove that skein algebras of abelian groups are isomorphic to symmetric subalgebras of corresponding group rings. Moreover, we show that, for any abelian group G, homomorphisms from the skein algebra of G to C correspond exactly to traces of SL(2, C)-representations of G. We al...