The COordinate Rotation DIgital Computer (CORDIC) algorithm is an arithmetic algorithm to evaluate various elementary functions through a series of iterative operations. In this paper, a high-speed sine/cosine generator is based on double rotation of the original CORDIC algorithm by predicting all the rotation directions from the initial input angle. The proposed architecture has a simple predi...

Bacterial flagellar motor (BFM) is one of the ion-driven molecular machines, which drives the rotation of flagellar filaments and enable bacteria to swim in viscous solutions. Understanding its mechanism is one challenge in biophysics. Based on previous models and inspired by the idea used in description of motor proteins, in this study one two-state model is provided. Meanwhile, according to c...

It is possible to associate two angles with two successive non-collinear Lorentz boosts. If one boost is applied after the initial boost, the result is the final boost preceded by a rotation called the Wigner rotation. The other rotation is associated with Wigner's O(3)-like little group. These two angles are shown to be different. However, it is shown that the sum of these two rotation angles ...

This study examined the influence of juggling training on mental rotation ability in children with spina bifida. Children between the ages of 8 and 12 solved a chronometric mental rotation test. Half of the children received juggling training (EG) over an 8 week time period; the other half did not receive training (CG). Afterwards, all participants completed the mental rotation test again. Chil...

We have proposed and experimentally demonstrated that the measurement of the near-surface flow at the interface between a liquid and solid using a 10 nm-sized biomolecular motor of F1-ATPase as a nano-flow-sensor. For this purpose, we developed a microfluidic test-bed chip to precisely control the liquid flow acting on the F1-ATPase. In order to visualize the rotation of F1-ATPase, several hund...

The objectives of this study were to determine a safe rotatory vestibular stimulation input for preschool children and to study the effects of grade level and sex of preschool children during active, passive, clockwise, and counterclockwise rotation vestibular input. This study adopted purposive sampling with 120 children from three kindergarten levels (K1, K2, and K3) in Taiwan. The subjects r...

In the cholesteric (Ch) phase, director rotates when temperature gradient is applied along its helical axis, which is called Lehmann rotation [1]. However, this phenomenon is poorly reproducible; the experimental verification for the Lehmann rotation isn !Gt enough yet. In this situation, recently, it was found the texture on the droplet formed by the Ch phase (Ch droplet) rotates under the tem...

An arbitrary movement of a rigid object in 3-D space can always be decomposed instantaneously into a translation plus a rotation. How should the neural representation of a static view of a 3-D object be updated according to its instantaneous motion? Assuming that a motion-sensitive neuron detects the rate of change of an arbitrary function of the static view of an object, we predict that the ge...

In this paper we study the homotopical rotation vectors and the homotopical rotation sets for the billiard flow on the unit flat torus with three, mutually intersecting and mutually orthogonal cylindrical scatterers removed from it. The natural habitat for these objects is the infinite cone erected upon the Cantor set Ends(F3) of all “ends” of the hyperbolic group F3 = π1(Q). An element of Ends...