Sentence examples for assumed solutions from inspiring English sources

The unknown expansions coefficients are calculated using the Rayleigh Ritz procedure which is actually equivalent to solving the governing equation and the boundary and coupling conditions directly when the assumed solutions are sufficiently smooth over the solution domains.

Further, we establish the uniqueness of solution by some a priori estimate to assumed solutions.

Then, we have y ( t ) ≤ A - 1 / θ ( 2 λ + 2 B T 1 - k ) 1 / θ t - λ + 2 C ( λ + B T 1 - k ) - 1 t 1 - δ, 0 < t ≤ T. In this section, we derive a priori estimates of the assumed solutions u(t) and give a proof of Theorem 2.4.

To prove the uniqueness, we need to derive the various estimates for assumed solution.

Considering such systems, we do not discuss questions of existence of solutions and assume that solutions to these systems exist.

Before the Griesafault, it was often mistakenly assumed that solutions to sovereign-debt repayment problems could be achieved through decentralised negotiations, without a strong legal framework.

Three vaccine candidates will go into trials in January in the region, but it cannot be assumed the solution will be quick or easy.

For example, when managing the technology support function first became a major problem for software makers, most entrants into this market assumed the solution was to create a knowledge database for technicians.

EMO originates from the electro-magnetism theory of physics by assuming potential solutions as electrically charged particles which spread around the solution space.

Being open to outside influences is crucial, he says, but he cautions against being over simplistic in assuming that solutions to difficulties always lie in the private sector.

Assuming the solutions of Eqs.