Sentence examples for based their proof on from inspiring English sources

They based their proof on the use of Navier׳s method using a sinusoidal-based deflection solution.

They based their proof on monotonicity in order to show that the three first terms of the computation of S i,  j,  k,  l) consist in summing constant vectors to the current solutions, which leads to the conservation of the dominant solutions.

To assume means 'to make a judgement about someone or something not based on proof, but on things you think or believe to be true'.

Let us recall the idea mentioned in [3 5], their proof based on the well-known result of Gidas et al. [20], that is, the uniqueness solution of the equation { − Δ w + w = w p, w > 0,  in  R N, w ( 0 ) = max y ∈ R N w ( y ), w → 0,  as  | y | → + ∞, (1.3).

Secondly, the requirement to label genetically modified ingredients - and note that I refer to ingredients as well as organisms - will be based on proof of their difference from conventional ingredients.

"We are searching for the truth... but we want that truth to be based on scientific proof, not on journalistic imagination, not on irresponsibility," she said.

Their proof is based on the infinite product representations.

Their proof is based on a continuous selection theorem which they construct.

Their proof was based on extrapolation methods for (C_{0} -semigroups and an explicit solution representation formula.

Their proof was based on a neat formula for the payoffs achieved if both players use memory-one strategies.

This is based on proof from the 1980s in which everybody first shares their information with all other computers.