Sentence examples for been proved that continuous from inspiring English sources

By this new technology, it has been proved that continuous heating and energy savings could be achieved without adopting expensive technologies.

Under these assumptions, it can be proved that is continuous and monotone on.

In [6, lemma  3.2] it is proved that is completely continuous and Schauder fixed point theorem gives us the existence of a solution to our problem (1.1).

In the present work, initially it has been proved that the stationary, continuous-time Markov models are algebraically equivalent to linear system dynamics models as shown below.

It was proved that any continuous distributions can be approximated by Mixture of Gaussians.

It is proved that the continuous spectrum of the operator pencil (L_{lambda}) consists of the interval ((-infty,+infty)) and there may be at most a countable set of spectral singularities on the continuous spectrum.

It is proved that the continuous spectrum of the operator fill out the (operatorname{Im}lambda =0) axis on which there may exist spectral singularities coinciding with the numbers (n/2, n=pm 1,pm 2,pm 3,ldots ) .

It is proved that if is complete,, are continuous for all,, are measurable for all, and for each, then there is a measurable mapping such that for all.

It can easily be proven that the control is continuous if the costate is continuous and the Hamiltonian regular (i.e. for fixed state and costate the value of the control is unique), cp.

It is proven that the objective function is strictly continuous and differentiable with respect to the piecewise interpolation.

It is routine to prove that is continuous and is relatively compact in the topology of the Frechet space.