Sentence examples for can be proven using from inspiring English sources

They can be proven using standard techniques applied to the present matrix context.

The correctness of these rules can be proven using their respective decision tables.

The proposition can be proven using Lemma 1 starting from Equation 27 given by the following: η 2 = χ + η 1 e χ (31).

If the formalism is applied on a compact metric space, then it is not required for large contractions the fulfilment of the boundedness condition of Theorem 2.12 ii - iii) from Edelstein fixed point theorem [8] which can be proven using the Meir-Keeler theorem [9] as observed in [10].

This converse also appears in Euclid's Elements (Book I, Proposition 48): It can be proven using the law of cosines or as follows: Let ABC be a triangle with side lengths a, b, and c, with a2 + b2 = c2.

The analogous results can be proven, using Stieltjes integrals, if w is a continuous random variable.

A generalized theorem can be proved using basically the same ideas as those employed in the more special case discussed above.

This can be proved using elimination procedure [18].

The last equality can be proved using the polar decomposition.

We prove equality (2); the other one can be proved using similar arguments.

The inequality given below can be proved using Hölder's inequality and the inequality (1.1).