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we conclude that the function (4.25).
We conclude that the function (2.15) is -integrable over.
end{aligned} So, we conclude that the function (F_{1} v)) increases on ([a,b]_{mathbb{T}}).
We conclude that the function (pmapsto L_{i}(f_{p})) is k-exponentially convex on J in the Jensen sense.
Therefore, we conclude that the function (trightarrow(TX)(t)) is continuous on ([0,b]) in the (L^{2} -sense.
Using Lemma 3.14, we conclude that the function (Psi ) is constant along one set of curvature lines on (Sigma ).
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As a consequence of (2.6), we conclude that the functions fulfill the recurrence relation: (2.9).
This fact, together with the derivation of the Λ-controllable sets in the Appendix, allows us to conclude that the functions (72) are continuous in Λ.
Since the functions z ( ⋅, x ) and z ( t, ⋅ ) are absolutely continuous for every x ∈ [ c, d ] and t ∈ [ a, b ], by virtue of Lemma 3.1 v), we conclude that the functions γ ( ⋅, x ) and γ ( t, ⋅ ) are absolutely continuous for every x ∈ [ c, d ] and t ∈ [ a, b ], respectively.
However, the fact that tfrac{k}{{[1 + lambda (n - k + kalpha )]^{2} }} = tfrac{{partial varPsi_{S} (alpha )}}{partial alpha } < tfrac{{partial varPsi_{BG}^{ - 1} (alpha )}}{partial alpha } = tfrac{k}{{(1 - alpha )^{2} }} (A1)allows us to conclude that the functions cross just once and do not cross again.
Therefore, we conclude that the functioning circadian machinery in photoreceptor cells is sufficient to control visual coding efficiency in Drosophila.
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