A twisted hypercube of dimension k is created from two twisted hypercubes of dimension k − 1 by adding a matching joining their vertex sets, with the twisted hypercube of dimension 0 consisting of one vertex and no edges. We generate random twisted hypercube by generating the matchings randomly at each step. We show that, asymptotically almost surely, joining any two vertices in a random twiste...

The notion of a Weyl module, previously defined for the untwisted affine algebras, is extended here to the twisted affine algebras. We describe an identification of the Weyl modules for the twisted affine algebras with suitably chosen Weyl modules for the untwisted affine algebras. This identification allows us to use known results in the untwisted case to compute the dimensions and characters ...

This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over finite fields, and in particular every elliptic curve in Montgomery form; shows how to cover even more curves via isogenies; presents fast explicit formulas for twisted Edwards curves in projective and inverted coordinates; and sh...

Large cell gap permanent Bistable Twisted Nematic Liquid Crystal Display (π-BTN) using photo-alignment technology has been demonstrated. This display can be switched between φ and π + φ twisted states by means of a combination of in-plane electric field and vertical electric field for creating both polar anchoring breaking and an electro-hydrodynamic flow. Such device is cell gap independent. P...

introduction: this study was carried out to compare the capability of k-files with mtwo rotary file in terms of negotiation as well as depth of penetration in second mesiobuccal (mb2) canal of maxillary first molar. materials and methods: a total of 32 mb2 canal of maxillary first molars having different root curvatures (not more than 30 degree) and root lengths were selected and then detected ...

In this paper, we first show that Renyi distance between any member of a parametric family and its perturbations, is proportional to its Fisher information. We, then, prove some relations between the Renyi distance of two distributions and the Fisher information of their exponentially twisted family of densities. Finally, we show that the partial ordering of families induced by Renyi dis...

We construct a new off-shell twisted hypermultiplet with a scalar and an anti-self-dual tensor superfields. Using the N = 2 twisted superspace formalism, we construct a Donaldson-Witten theory coupled to the hypermultiplet. We show that this action possesses the Vafa-Witten type N = 4 twisted supersymmetry at the on-shell level. We also reconstruct the action using a N = 4 twisted superconnecti...