As we have given (x-3)/(-3)=(y+2)/(2lambda)=(z+4)/2a n d(x+1)/(3lambda)=(y-2)/1=(z+6)/(-5) Then vec(b1)=-3hat(i)+2lambda hat(j)+2hat(k) and vec(b2)=3lambda hat(i)+hat(j)-5hat(k) As the given lines are perpendicular to each other implies vec(b1).
The initial state of the system is of adiabatic order four, and not necessarily de Sitter invariant. We define an adiabatic number basis in which the energy-momentum tensor has a quasi-classical form in terms of the number of particles present. Numerical results are presented for a massive ...
Find the value of lambda so that the vectors vec a=2 hat i+lambda hat... 02:04 Find the value of p for which the vectors vec a=3 hat i+2 hat j+9 ha... 04:15 Find the values of ' a ' which the vector vec r=(a^2-4) hat i+2 hat j... 03:22 If vec a , vec ...
Without loss of generality one can assume that \(T =2\pi \). We say that \(\lambda \in \mathbb C\) is a regular point of A if \(A-\lambda I\), \(I=I_X\), is bijective and \((A-\lambda I_X)^{-1}\) is a bounded operator, i.e.,...
In both cases it was shown that the pair correlation functions along the edge decay very slowly compared with the situation in the bulk. More precisely, they decay only as an inverse power of the distance along the edge. The heuristic is that the screening cloud that surrounds a particle sit...
1Introduction and statement of the results In recent decades, the nonlinear system has received a very significant attention in the field of mathematics and physics, since several phenomena in these areas are described by the nonlinear differential system, such as thermionic emissions, isothermal gas ...
In this paper, we investigate the long-time behavior of solutions for the following degenerate parabolic equation with memory on \mathbb{R}^{n} (n\geq 2): u_{t}-\operatorname{div} \bigl\{ a(x)\nabla u \bigr\} - \int _{0}^{\infty}k(s)\Delta u(t-s)\,ds + \lambda u...
Our purpose in this paper is to study the asymptotic behavior of the nonlinear eigenvalue problem, where {Omega} is a smooth bounded domain in R{sup 4}, {line_integral}(u) is an nonnegative smooth function with exponentially dominant nonlinearity and {lambda} > 0 is small. When {line_...
To select relevant features for each model (feature selection), predictors showing nonzero coefficient at lambda.min—corresponding to the value of the regularization parameter lambda that gives minimum mean cross-validated error—were considered. To facilitate the applicability of our approach, GLMNET ...
% the corresponding eigenvector of real diagonalizable matrix A. % [lambda x iter] = largeeig(A,x0,n,tol) computes the largest eigenvalue % lambda in magnitude and corresponding eigenvector x of real matrix A. % x0 is the initial approximation, tol is the desired error tolerance, % and...