We study a two-dimensional topological system driven out of equilibrium by the application elliptically polarized light. In particular, we analyze Bernevig-Hughes-Zhang model when it is perturbed using an light frequency $\mathrm{\ensuremath{\Omega}}$ described in general vector potential $\mathbf{A}(t)=({A}_{0x}cos(\mathrm{\ensuremath{\Omega}}t),{A}_{0y}cos(\mathrm{\ensuremath{\Omega}}t+{\ensu...

Now, let (u, v) = Rα(θ, φ′). Here, Rα = Ry(α). We omit the z rotation since that does not affect Yl0 which has no azimuthal dependence. The vector corresponding to coordinates (u, v) is then given by   sinu cos v sinu sin v cos u   =   cosα 0 sinα 0 1 0 − sinα 0 cosα     sin θ′ cosφ′ sin θ′ sinφ′ cos θ′   =   cosα sin θ′ cosφ′ + sinα cos θ′ sin θ′ sinφ′ cosα cos θ′ + sinα sin θ′ (...

In this paper a data simulation system, based on the cos(x) and sin(x)/x functions, called CSINC Polynomial Higher Order Neural Network (CSINCPHONN) has been developed. The CSINCPHONN model provides one more opportunity to find the optimal neural network model for simulation and prediction. This paper also proves that CSINCPHONN models can converge when simulating XOR data. This study also test...

(1) If p ≥ 0 and r ≥ 0, then p+ r ≥ 2 ·√p · r. (2) sin is increasing on ]0, 2 [. (3) sin is decreasing on ]2 ,π[. (4) cos is decreasing on ]0, 2 [. (5) cos is decreasing on ]2 ,π[. (6) sin is decreasing on ]π, 2 ·π[. (7) sin is increasing on ] 3 2 ·π,2 ·π[. (8) cos is increasing on ]π, 2 ·π[. (9) cos is increasing on ] 3 2 ·π,2 ·π[. (10) sin(t1) = sin(2 ·π ·n+ t1). (11) cos(t1) = cos(2 ·π ·n+ t1).

Bacteriophage lambda packages the DNA of the related phage 21 poorly [Hohn, B. (1975) J. Mol. Biol. 98, 93--106]. To understand the nature of the packaging defect, the interaction of the cohesive end site (cos) specific for phage 21 (cos phi 21) with phage lambda terminase has been investigated. The ability of lambda terminase to cleave cos phi 21 was studied in vitro; lambda terminase cleaved ...

We estimate the contribution of millisecond pulsars to the diffuse gamma-ray background of the Galaxy, and show that a significant fraction of the Galactic background may originate from them. A small number of the unidentified COS-B point sources may, in fact, be millisecond pulsars. It is argued that several hundred millisecond pulsars may be detectable as point sources by the GRO satellite.

as the price relative which is how much a stock goes up or down in a single day. St denotes the amount of wealth we have at the start of day t and we assume S1 = 1. We denote wt(i) to be the fraction of our wealth that we have in stock i at the beginning of day t which can be viewed as a probability distribution as ∀i, wt(i) ≥ 0 and ∑ iwt(i) = 1. We can then derive the total wealth in stock i a...

The new curve contains all of the information about the original curve’s tangent lines. For example, it crosses the y-axis whenever the original curve has a horizontal tangent line. The straight line y = mx + b, or (x(t), y(t)) = (t,mt + b), has only one tangent line and thus a trivial transformation to a point, (x∗(t), y∗(t)) = (m, b). Some conic sections transform to conic sections. For examp...