Sentence examples for continuously upon from inspiring English sources

Here, we always assume that fractional neutral system (2.1) with initial condition (2.2) has a unique continuous solution x ( t ) which depends continuously upon t 0, φ.

Theorem 1 Under the following assumptions, the solution u = u ( x, t ) depends continuously upon the data.

Theorem 6 Under the conditions of Theorem  4, the solution u = u ( x, t, ε ) depends continuously upon the data.

The oxygen-releasing material, which contained calcium peroxide, is able to release oxygen continuously upon contact with water.

Theorem 4 Under assumptions (A1 - A3), the solution ( p, u ) of problem (1 -(4) depends continuously upon the data φ, g.

The oxygen organic material, which contains calcium peroxide and peat, is able to release oxygen and primary substrates continuously upon contact with water.

"The view changes continuously, depending upon people going in front of it, the angle and the light," Ms. Marcoci said.

It also can't have been easy for Krysten Ritter, continuously called upon to play emotionally and physically draining scenes.

In the first place, the provider employs telemedicine operators which continuously check upon their patients.

In the HWD method, deposition and re-evaporation are continuously repeated upon a film surface, resulting in achieving a state near thermal equilibrium [18].

Using physical mixtures or trifunctional composite catalyst, carbon monoxide conversions can be achieved far above thermodynamic equilibrium levels because dimethyl ether is continuously withdrawn upon conversion to hydrocarbons.