{eq}\bullet {/eq} D<0, the equation has only no real roots. Answer and Explanation:1 Let us use equation (1) to determine the roots of the equation, {eq}x^2+kx-3=0 {/eq}, the coefficients of the equation are {eq}a=1 {/eq...
Starting with solution Ã0 of Equation (6), we add an infinitesimal perturbation a = u + iv, and linearize the resulting] equation for a. After separation of real and imaginary parts, we obtain ∂tu=(−2(r−δk2)+∂x2+δk∂y2−∂y4)u−(2δk−∂y2)∂xυ,...
In summary, a GNN model has been developed for predicting the effective properties of polycrystalline materials, where a polycrystalline microstructure is represented by a graph. Using the effective magnetostriction of Terfenol-D alloys as an example, the GNN model demonstrates a low relative error of...
2c). As expected, one of these inhibitors, N4, fitted well with the allosteric inhibitory curve assessed by the Michaelis–Menten equation (Fig. 2d). To obtain direct evidence that N4 binds to the corresponding allosteric site, we determined the structure of N4-bound bo3 UqO with a Fab ...
x2−kx+k2−4=0. (1) Find the value of k such that both the solutions to the equation are positive; (2) Find the value of k such that there is only one positive solution to this equation.相关知识点: 试题来源: 解析设关于 x 的一元二次方程 x2−kx+k2−4=0 的两个实根为 ...
d2(rP)dr2+k2(rP)=0,d2(rP)dr2+k2(rP)=0,and the general solution is: rP=Q+e−jkr+Q−ejkr.rP=Q+e-jkr+Q-ejkr. Using the Euler equation, ∂rP=−jkρcV∂rP=-jkρcV, where ρ is the air density, the particle velocity V is given by, Vρcr=Q+e−jkr−Q−e...
Including a set of probability density functions (PDFs), the Pearson system is the solution to the differential equation, p′xpx=x-ab2x2+b1x+b0, (2) where p (x) is a density function and a, b0, b1, and b2 are parameters of the distribution. Correspondences between the distribution ...
Figure 2. Numerical simulation model(mm). Establishment of the mathematical model (1) Air flow model of the tunnel in the excavation working face. In this paper, the three-dimensional steady- state incompressible Navier–Stokes equation was adopted as the governing equation for the flow ...
We are not interested in solving the radial equation but focus on the symmetry properties of the angular solution, thus, the distance between two spins is taken fixed at adp. We consider the lowest partial-wave, p-wave, channel with L5 1. The 3 3 3 5 9 states (L5S5 1) are ...
Without a barrier, such a wave packet has the form (ℏ = 1) $$\psi ^0(x,t) = {\int} A(k)\exp [ikx - iE(k)t]{\rm{d}}k = {\mathrm{exp}}[ipx - iE(p)t]G(x,t),$$ (3) where we have separated the smooth envelope G, which will play an important part in...