Sentence examples for problem as following from inspiring English sources

It is a major problem as following practitioners' recommendations is strongly associated with good patient outcomes.

By fixing W, Z, S and F, E is solved by the following optimization problem as follows: Lleft( E right) = arg min_{E} gamma left| E right|_{21} + frac{mu }{2}left| {X - AZ + frac{{Y_{1} }}{mu } - E} right|_{F}^{2} (22)from the above analysis, we can find that, on one hand, the deduction of the variables F, Z, S and E are closely dependent.

The classic formulation of image restoration problem is as following: y = Φ x + n (1).

There are 7 cases causing such problem considered as following (Fig. 7): Open image in new window Fig. 7 False minutia structures.

Therefore, we can rewrite problem (25) as following by making use of (32) and (42) min w w H R ~ w s.t.

Therefore, the optimization problem can be express as following geometric problem: min P i, R i ∏ i = 1 N s ( R i − 1 ), (33) s.t.

The minimization problem is reformulated as following, and here, we name it as completely augmented Lagrangian method (CALM).

IOMA's QP problem is formulated as following: (6) (7) (8) where Equation (6) represents mass-balance constraint for the k-th flux distributions, Equation (7) represents reaction directionality and flux capacity constraints, and Equation (8) represents the estimated fluxes for the core reactions based on the proteomic and metabolomic data.

The first problem we want to study is as following: Problem 1.

As a result, we solve a stable heat conduction problem as the following form: nabla cdot [k (T nabla T] + H = 0. (1).

Let us write the anomaly detection problem as the following multiple hypothesis test: ℋ 0 i : ∥ f i ∗ − f ∥ ≤ τ for some f ∈ D (15a).