From the above discussion, we see that can be extended continuously to infinity and.
Therefore, it can be extended continuously to (L_{G}^{1}(Gamma_{S} )) under the norm (Vert X Vert _{1,G}).
The coordinates can be considered to be sampling values ( x ( t ), y ( t ) ) = f 2 π N t (1). of a continuous, closed curve f : [ 0, 2 π ] → R 2 such that f can be extended continuously to a 2π-periodic function.
The database will be extended continuously to cover other fully sequenced fungal species.
For p ∈ N 0 and i, ℓ ∈ Z, the following assertions hold: (i) R i, p | [ t ℓ − 1, t ℓ ) is a rational function with nonzero denominator, which can be extended continuously at t ℓ. (ii) R i, p vanishes outside the interval [ t i − 1, t i + p ).
The following conditions are equivalent: (1) functions ω j (t)(∀j∈Z) can be extended to continuously; (2) relations det a j − 5, a j − 4, a j − 3, a j − 2, a j − 1, φ j = 0 ∀ j ∈ Z Open image in new window (2.8) .
Let (varphi mathcal{A}rightarrowmathcal{A}) be a continuous identity-preserving Jordan morphism extending continuously to a map (varphi: H^{p, omega}(mathcal{A} rightarrow H^{p, omega }(mathcal{A})), (1leq p
The radius r will be extended up to the maximum transmission range if the sender does not receive the same message continuously.
The photoresponsive range of the BOC/TPP nanocomposites can be extended from UV to visible light, and the band gap can be continuously tuned.
More knowledge about the dynamics of the impact of childhood adversities on the risk of onset of psychiatric disorders, or their non-occurrence, can help to improve prediction models, and allow them to be extended and refined continuously, with every increasing year.
It can be shown (see [20]) that the function u m can be extended at the origin continuously by using Weierstrass representation.
