Sentence examples for a fixed index from inspiring English sources

where i ∈ 1,…,(N - 1)/2 is a fixed index and sgn denotes the signum function.

Given a fixed index (k in {1, ldots, n}) we will develop every term (varphi _{[w]}) on a region (R = R k)) defined by certain inequalities which in the case of (k = 1) are begin{aligned} mathfrak {Re}(mathfrak {i} psi _1) > cdots > mathfrak {Re} (mathrm {i} psi _n) > 0. end{aligned}We now discuss this case in detail.

(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).

For all (i, j ) ∈ C and a fixed index k ∈ B (i, j ), we can rewrite (12) in the following form: (16) R ^ k (i ) | Γ (i, j ) = ∑ ℓ ∈ B (j, i ) a k, ℓ (i, j ) R ^ ℓ (j ) | Γ (i, j ), where, for a fixed k ∈ B (i, j ), all coefficients a k, ℓ (i, j ) are zero, except for one coefficient which is 1.

Let (k_{0} in K) be an arbitrary fixed index and (V_{k_{0}}) be any (g -preopen set of (Y_{k_{0}}).

While FAWN has a fixed memory index, ZDB's index is variable and can be tuned to improve the performance of the key-value store.

13Formally, my index is a fixed-weighted index akin to the Marshall-Edgeworth index, with the weights determined by averaging participation rates in 2007 with rates in 2010.

Continuous GRIN profile with hyperbolic secant index distribution is approximated using two-dimensional photonic crystal (2D PC) dielectric rods with a fixed refractive index.

Is it possible to define a fixed point index for CAC-mappings on ANMR-retracts?

They obtained the countably many positive solutions by using a fixed point index theory and fixed point theorem.

By using a fixed point index theorem, the existence results of positive solutions for this problem were established.