Sentence examples for fixed index from inspiring English sources

For fixed index, the value closer to a given fixed number suggests a better situation.

We establish the existence of coexistence states by the fixed index theory on positive cones.

Then index W ( F, ( 0, v 0 ) ) = 0. Now, we establish the existence of positive solutions of the system based on the above results about the fixed index.

Clinicians may use the information from the general fractional order system to devise new treatments to each individual in particular by fitting his/her data with the most appropriate fixed index.

The existence of infinitely many positive solutions for the given problem are new, though they are proved by applying the well-known method based on the fixed index theory in cones and the inequality technique.

(6) is the partial optimization problem of (4) only considering the vector z in the null space of A for a fixed index set L. We can obtain αl,L by solving the following optimization problem: begin{array}{*{20}l} & underset{z}{text{maximize}}~| z_{L} |_{1} & text{subject to}~| z |_{1} leq 1, ; Az = 0. end{array} (7).

Now that the central government has this centralized authority, why would it restrain itself by some fixed indexes?

Let T be an m-linear operator, and let 1 < q 1, …, q m < ∞ and 1 m < q < ∞ be fixed indices such that 1 q = 1 q 1 + ⋯ + 1 q m.

Using the quasi-norm of B p, τ α ( A ), the main result is formulated in Theorem 5 as two inequalities, estimating the minimal distance from a given element to a subspace of exponential type vectors with fixed indices.

Given a positive multilinear operator M P X1) × P X2) × … ×P Xn) → P Xn+1), and fixed indices p1, p2,…, pn, qϵ [1, ∞], we consider the problem of determining those nonnegative (weight) functions w1, w2,…, wn and v on X1, X2,…, Xn and Xn + 1, respectively, for which Xn+112nqn+11q ⩽C Xjjjpj1pj, with C > 0 independent of fjϵP Xj), j=1,2, …, n.

> -wrap-foot> χ 2 chi-square, df degrees of freedom; χ 2 / df chisquare to degrees of freedom ratio; RMSEA root mean square error of approximation; NFI normed fit index; IFI incremental fix index; TLI Tucker-Lewis index; CFI comparative fit index Results of the separate confirmatory factor analysis for the Hong Kong and the Philippine samples indicated a good fit.