epsˆ0.25 ≈ 1.2e-4 which is a tolerance level of many R functions. 2. Full likelihood fixed : AECM algorithm with the smallest = sqrt(.Machine$double.xmin) ≈ 1.5e-154 to provide numerical stability where double.xmin represents the smallest non-zero normalised floating-point number in ...
Suppose there is a nonnegative function g that is integrable over [a, b] and |Diff_{1 / n} f| less than or equal to g a.e Let f and g be integrable on a bounded simple set \omega \subset R^n . Prove that a. If p \geq 1 (\int_\omega |f +...
At first,we construct the Lyapunov functions,Then,using the properity of matrix inequality and definition of norm to judge whether the matrices is positive or negative definite,to make further study of the Asymptotic stability of nonlinear systems with unbounded delays. 对一类含无界时滞的非线性系统...
and T denote the matrix complex conjugate transpose and matrix transposition respectively. For any matrix A, A > 0 (A < 0) means A is positive definite (negative definite) matrix. ⋆ in a matrix represents the elements below the main diagonal of a symmetric...
where,c:Ω→R,B:Ω→∈Rn, andA:Ω→Rn×nsuch thatA(x) is positive-definite (uniformly inx∈Ω). For simplicity, we assume that the coefficients are smooth. We associate the operatorLwith Neumann boundary conditions Bu(x):=∂νAu(x)=0,∀x∈∂Ω, ...