Sentence examples for proposition is verified from inspiring English sources

We prove that the level sets of a probability density function correspond to minimum volume sets and also determine the conditions for which the inverse proposition is verified.

[12] For any ((varepsilon,alpha,lambda,x)) with ((alpha,lambda,x,0 in M_{varepsilon}), there exists a smooth map which associates (overline{v} in E_{(x,lambda)}) with (Vert overline{v}Vert proposition is verified for some ((A,B,C )inmathbb{R}^{2}timesmathbb{R}^{2}times (mathbb{R}^{2} )^{2}).

The theoretical propositions are verified on an experimental prototype using dSPACE, Control Desk DS1103 setup with an embedded TM320F240 Digital Signal Processor proving its applicability to real-time electrical systems.

In the Methods section proposition 1 is verified for this example.

where μ is adjusted to accomplish ∑ j = 1 J ŷ j k = C. Since y k ≽y ∗ ( ∑ y j k > C unless y j k = y j ∗ ∀ j ) and ∑ j = 1 J y j ∗ = C, it is necessary that μ > 0. From Proposition 2 it is verified that non-optimal values y that attain ∑ j = 1 J y j > C diminish its value in the primal projection in order to achieve ∑ j = 1 J ŷ j = C unless y j = min Y j, in which case y j ̂ = y j.

Together with the fact that is -holomorphic (Proposition 3.3), we can conclude that (4.37) is verified.

Perhaps we should say that betting behavior can be used only to measure probabilities of propositions of the form 'E and it is verified that E'.

Observe that this condition is verified, for example, if is a fading memory, see [27, Proposition ].

The transaction is verified.

Hence, the claimed properties (1) and (2) (formulated in Proposition 34) are verified for f.

In such a case one constructs a story in which a proposition can be verified to be true by the available details given.