The framework used to prove the multiplicative law deformation of the algebra of Feynman-Bender diagrams is a twisted shifted dual law (in fact, twice). We give here a clear interpretation of its two parameters. The crossing parameter is a deformation of the tensor structure whereas the superposition parameters is a perturbation of the shuffle coproduct of Hoffman type which, in turn, can be in...

In the takeoff and early flight phase of a twisting somersault, joint coordination is based on feed-forward control whereas in the late stages of the flight phase configuration adjustments are made using feedback control to ensure accurate completion of the movement and appropriate landing orientation. The aim of this study was to use a computer simulation model of aerial movement to investigat...

Corresponding Author: Yulian A. Menyaev Winthrop P. Rockefeller Cancer Institute, University of Arkansas for Medical Sciences, Little Rock, AR, USA Email: [email protected] Abstract: Generators of uniformly distributed random numbers are broadly applied in simulations of stochastic processes that rely on normal and other distributions. In a point of fact, the uniform random numbers are activel...

We have explored twisted mass LQCD (tmLQCD) analytically using chiral perturbation theory, including discretization effects up to O(a), and working at next-to-leading (NLO) order in the chiral expansion. In particular we have studied the vacuum structure, and calculated the dependence of pion masses and decay constants on the quark mass, twisting angle and lattice spacing. We give explicit exam...

A method is presented for determining the contributions made by contact and aerial twisting techniques in filmed performances of twisting somersaults. An 11-segment simulation model is used to determine the effects of removing asymmetries about the sagittal plane. Tilt contributions are determined for four competitive movements performed by an elite trampolinist. It is found that even in moveme...

We develop an observation that a simulation method introduced recently for heavy-tailed stochastic simulation, namely hazard-rate twisting, is equivalent to doing exponential twisting on a transformed version of the heavy-tailed random-variable; the transforming function is the hazard function. Using this approach, the paper develops efficient methods for computing portfolio value-at-risk (VAR)...

This paper discusses the relevant theoretical problem of the numerical derivative estimation of noisy signals. In this paper, a comparative study of some different schemes of the differentiators is given: Kalman filter, the well-known Super Twisting algorithm, Super Twisting with dynamic gains and Euler backward difference method. The analysis of the study results can focus on the strengths and...

Studies of animal tendons have not yielded clear conclusions about how graft configuration affects stiffness and strength. A recent study of sheep tendons [1] showed that two different braiding techniques reduced failure load by 47% and 57%, respectively, from the parallel strand configuration. Braiding reduced stiffness by 82% and 85%. In a study of calves’ tendons [2], braiding and twisting d...

Although carbon nanotubes consist of honeycomb carbon, they have never been fabricated from graphene directly. Here, it is shown by quantum molecular-dynamics simulations and classical continuum-elasticity modeling, that graphene nanoribbons can, indeed, be transformed into carbon nanotubes by means of twisting. The chiralities of the tubes thus fabricated can be not only predicted but also ext...