Sentence examples similar to I'm continuously dependent on from inspiring English sources

Inequality (3.5) yields that the solution of (1.1) in X ( I ; M ) is continuously dependent on the given function g in X ( I ; M 1 ).

If (3.1) and (3.5) are satisfied, the solutions of (1.1) in X ( I ; M ) is continuously dependent on the given function g ( x ) in X ( I ; M 1 ).

Theorem 3 The solution of discontinuous (sectionally continuous) dynamical system (1.1 - 1.2 1.1 - 1.2nuously dependent on the parameter α.

Theorem 2 The solution of discontinuous (sectionally continuous) dynamical system (1.1 - 1.2 1.1 - 1.2nuously dependent on the isitial data.

Thus, m 1 = 1 8. Therefore, we can get a quasi-convex solution f ( x ) of equation (4.1) by Theorem 3.3, which is continuously dependent on the given function g ( x ) ∈ X ( I ; M 1 ) with M = 3 − 7 2 by Theorem 3.5.

Poor little Oliver, played by Barney Clark, is continuously dependent on the kindness of strangers, from the unspeakable Fagin to the gentle scholar Mr Brownlow (Edward Hardwicke) who temporarily rescues Oliver from his life of crime.

The AFEM leads to a counterpart of the RTE consisting of a coupled set of transient-advective reactive equatransient-advective reactivedequationson space and that.

It is obvious that y μ ( 1 ) is continuously dependent on the parameter μ.

Obviously, y μ ( 1 ) is continuously dependent on the parameter μ.

Furthermore, even if the solution does exist, it would not be continuously dependent on the data.

It is a classical result that all of these objects are continuously dependent on when the topology is considered.