Sentence examples for proposition is shown from inspiring English sources

holds, where the index is summed over μ = 1, 2, 3. Proof The proof of this proposition is shown in The divergence theorem of a triangular integral [6].

The results obtained using this proposition are shown in Table 7.

The patients' general attitude towards experimental treatments, that is not the particular study under consideration but their basic feeling about such treatment propositions, is shown in Table 6 >.

The proofs of the two Propositions are shown in Appendix A.

The evaluation metrics for these propositions are shown in the next chapter.

The resulting modified, propositions are shown to apply to a broad range of bistable perceptual phenomena, not just binocular rivalry, and they allow important inferences about the underlying neural systems.

The key propositions are shown in Table 1.

Estimate (19) is purely a consequence of Assumption A via Remark 4. [2, Proposition 5.1] In this proposition, it is shown that there exists C such that if (Pi _y u,r ge C) then begin{aligned} lambda _{r/2}^{1/2}le frac{tilde{C}}{Vert Pi _y u,r Vert _{L^infty (B_1)}}lambda _{r}^{1/2} end{aligned} (20) for some (tilde{C}>0).

The proof of Proposition 1.1 is shown in Appendices A and B. Theorem 1.2.

In this proposition, it is shown that there exists C such that if (Pi _y u,r ge C) then begin{aligned} lambda _{r/2}^{1/2}le frac{tilde{C}}{Vert Pi _y u,r Vert _{L^infty (B_1)}}lambda _{r}^{1/2} end{aligned} (20).

In [[4], Proposition 4.8] it is shown that E 2 is not E-convex.