Sentence examples for supposed to be continuous from inspiring English sources

The functions g ( t ∈ J ) and f ( a ≤ s ≤ t ≤ b, u, v ∈ R ) are supposed to be continuous and continuously differentiable with respect to t.

For (xin S_{f}), (m(x)) is supposed to be continuous at x.

We find in the papers mentioned that f in fractional differential equations is supposed to be continuous, the solutions obtained are also continuous on ([0,1]).

The positive functions f and g are supposed to be continuous and satisfying local conditions that depend on the positive constants defined in (6) and (7).

A common theme of this work is that philosophy is supposed to be continuous with science and that philosophical theories are to be defended on largely explanatory grounds, not on the basis of a priori arguments that appeal to intuition.

The considered mappings are supposed to be continuous, monotone with respect to the partial order ⪯, and satisfying a Banach contraction inequality for every pair ((x,y) in X times X) such that (x preceq y).

"The first season was supposed to be a continuous experiment," said Spiegel.

But Asperger syndrome is supposed to be a "continuous and lifelong disorder," and his symptoms (an intense focus on one activity combined with a social awkwardness that left him largely friendless amid other children annoyed by his affectations) disappeared once he reached New York and found a group of peers and a career that interested him.

Both and are supposed to be nonnegative continuous concave functionals on.

In this paper, the evolution system is only supposed to be strongly continuous, without any restrictions of compactness or equicontinuity.

Here the evolution system is only supposed to be strongly continuous, without any compact or equicontinuous assumptions.