Sentence examples for problems the following from inspiring English sources

To facilitate the synthesis of medium-size problems, the following synthesis/analysis scheme is proposed.

Because it takes so long, "many victims are left exposed to identity theft-related problems the following filing season," Olson said.

In addition to these problems, the following most important and difficult one must be added.

For m-stopping problems, the following variant of Proposition 1 will also be needed.

Besides the standard norms, for the treatment of parameter-elliptic problems the following parameter-dependent norms will be convenient: Let θ ∈ ( 0, π ] and let λ ∈ Σ ¯ θ be a complex parameter, varying in a closed sector Σ ¯ θ with vertex at 0 where Σ θ : = { z ∈ C ∖ { 0 } : | arg ( z ) | < θ }.

As long as K ≤ 23 (which is usually the case in practical considered IA problems), the following inequality holds: K ( K − 1 ) d 2 ( min ( M, N ) + 1 ) ≤ 22 K d 2 ( min ( M, N ) + 1 ) ≤ K d 2 ( 22 min ( M, N ) + 22 d ) ≤ K d 2 ( 14 M + 14 N + 16 d ).

It started with a hamstring problem the following April that recurred throughout the 1999-2000 season.

To avoid such a troublesome problem, the following simple method for the analysis is proposed.

For general generalized vector equilibrium problem, the following example shows WS K ≠ ∅, but SS K = ∅.

These potential problems include the following.

Consider the boundary value problems of the following type.