Sentence examples for are continuous in a from inspiring English sources

The previous conditions are guaranteed when (h: ( 0,1 ] rightarrow [ 0,infty ) ) is a strictly decreasing bijection between (( 0,1 ] ) and ([ 0,infty ) ) such that h and (h^{-1}) are continuous (in a broad sense, it is sufficient to assume the continuities of h and (h^{-1}) on the extremes of the respective domains). For instance, this is the case of the function (h(t)=1/t-1) for all (tin ( 0,1 ] ).

end{aligned} (4.2) As assumed in the lemma, f and G are continuous in a neighborhood of y so they are bounded in this neighborhood.

Suppose that Assumptions A1-A3(i) and A4 are satisfied and f and G are continuous in a neighborhood of y for (ygeq a_{F}).

If f and G are continuous in a neighborhood of y for (y geq a_{F}) then (sigma_{n}^{2} ( y ) to{sigma^{2}} ( y ) ) as (n toinfty).

It is easy to see that the partial derivatives (F_{omega}) and (F_{tau}) exist and are continuous in a certain neighborhood of ((omega_{0}, tau_{0})), and (F_{omega} omega_{0}, tau_{0} neq0).

Furthermore, the coefficients (b(x)) and (c(x)) are assumed to be continuous in ((a, b)) and at least twice differentiable everywhere in the interval.

Let,, and be a complex-valued function satisfying the conditions: (i) is continuous in a domain.

(v′) for each i = { 1, 2 }, f i is continuous in A × B × A. Then the (SWQVEP) has a solution.

(v′) for each i = { 1, 2 }, f i is continuous in A × B × A. Then the (SSQVEP) has a solution.

Now suppose that f is a complex-valued function which is continuous in a neighborhood of all the edges of squares labeled by elements in (T_N).

Second, we show that S L is continuous in A ( N, M ) and S L ( A ( N, M ) ) is relatively compact.