Sentence examples for for any given x from inspiring English sources

For any given ((x,t),tleq0), let (tauleq t).

For any given x ∈ K, we let y ∈ T ( x ).

For any given x ∈ K, let y ∈ T ( x ).

For any given (x, yin Y), (xleq_{K}yLeftrightarrow y-xin K).

Thus, { x n } converges to zero for any given x 0 ∈ R n. □.

For any given x 0 ∈ C, let { x n } be the sequence generated by (1.8).

For any given (x), the actual tax payments do generally differ between the two forms.

In addition, we observe that M ( x, y, ⋅ ) is nondecreasing for any given x, y ∈ X.

Meanwhile, for any given x 0, the iterative sequence x n = T n x 0 converges to x ∗.

Different approaches can be adopted to define the AOIs by approximating Eq. (4) for any given (x, y, z).

Now we prove that, for any given ( x, y ) ∈ X × X, E λ, F is nonincreasing in λ ∈ ( 0, 1 ).