Sentence examples for using the above notation from inspiring English sources

Using the above notation, the desired optimization problem is formulated as a mixed integer linear programming (MILP) problem.

Using the above notation, we have the following discrete adjoint method for the computation of gradient of J . 1.

Using the above notation we say that if the initial data is -regular, then we have that the solution satisfies (3.40).

Using the above notation and considering the fact that all users are perfectly synchronized, the SIR of user is given by (1).

Using the above notation, a ^ M p = a ^ i p, a ^ P p = a ^ j p and a ^ W p = − (a ^ i p + a ^ j p ).

Using the above notation, the information obtained by Bayesian expression data analysis about genes is typically summarized by a probability measure P Ig,k| Dg,k), with the probability that the corresponding gene is involved in the biological assay being given as P Ig,k = 1| Dg,k).

Using the above notations, it is easy to see that (3.10).

Using the above notations, Beardon obtained the following two main results for the entire solutions of equation (1.1).

Using the above notations, the probability of MS located at distance from BS to relay through a station RS located at distance from BS and from MS, given that MS is in low coverage, becomes.

Using the above notations, the right-hand sides of equation (1) and boundary condition (3) could be written in a simpler way: f ( k, Ξ ( u ( τ ( k ) ) ) ) and g ( χ ( u ( T ) ) ).

In order to calculate the unknown coefficients (c_{k}) in linear system (3.5), we rewrite this system by using the above notations in matrix-vector form as mathbf{A}mathbf{c}=mathbf{B} (3.6) where Now we have a linear system of n equations in the n unknown coefficients given by (3.6).