Sentence examples for proposition establishes from inspiring English sources

The next proposition establishes the condition for the existence of r-th moment of the GC distribution.

The ensuing proposition establishes the link between IEKF and Gauss-Newton iterations for the related NLS problem.

The following proposition establishes that the two reference priors that we have obtained yield proper posterior distributions.

Next proposition establishes adequately the existence of classical (mathcal{C}^{2} -upper and lower solutions for (11).

The next proposition establishes relationships between the various LP well posednesses of (VQVI) and those of (P) with defined by (2.14).

The following proposition establishes a connection between operators B α, β and B α. Lemma 3.1 Let 0 < α ≤ 1, 0 ≤ β ≤ 1.

Thus, it follows that, in addition to the delegated powers, Congress possesses implied powers, a proposition established by Chief Justice Marshall in McCulloch v. Maryland (1819).

There is a connection between the lattice fractional derivatives and the Riesz-type fractional derivatives that is described by the following proposition established in [37, 39].

Now, what seems to be the other premise of this argument, namely the proposition that the soul moves itself, is refuted by Aristotle in De anima 1.3 4 on the strength of the very proposition established in Physics 7.1 and 8.5 and cited by Metochites in the preceding paragraph, namely that movement is necessarily an irreflexive relation.

IIIp28, the proposition establishing Spinoza's doctrine that human beings desire whatever will bring joy and are averse to whatever will lead to sadness, allows Spinoza to connect the objects of any human desire with joy or the avoidance of sadness.

The following propositions establish the correspondence between states of an abstraction FSM and their corresponding states in a refined abstraction FSM.