Sentence examples for lp t. from inspiring English sources
Lp(t)and W1, p(t)are both Banach spaces with the norms defined above, when p- > 1, they are reflexive.
(i) The space Lp(t)is a separable, uniform convex Banach space, its conjugate space is Lq(t), for any u ∈ Lp(t)and v ∈ Lq(t), we have ∫ 0 T u v d t ≤ 2 | u | p ( t ) | v | q ( t ), where 1 p ( t ) + 1 q ( t ) = 1.
If p t) = p, where p ∈ (1, ∞) is a constant, by the definition of |u|p t), it is easy to get | u | p = ( ∫ 0 T | u ( t ) | p d t ) 1 ∕ p, which is the same with the usual norm in space L p. The space Lp(t)is a generalized Lebesgue space, and the space W1, p(t)is a generalized Sobolev space.
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CD103-deficient mice were initially shown to have reduced numbers of intestinal intraepithelial lymphocytes and lamina propria (LP) T cells, suggesting a role for this integrin in the localization of T cells within intestinal tissue [7].
To bring out the temperature dependence of the modulus more clearly, a plot of lp · T vs T is shown in Fig. 7.
The data indicate an approximately linear decrease of lp with T in this limited temperature range with a slope of d lp/d T = −0.07 nm K−1.
The reason for this surprising behavior becomes obvious looking to the changes in lp with T obtained from analysis of the SLS data (see ESM).
In addition, LPs have the potential to bind to HLA class II molecules and activate the LP-specific T helper (Th) cells.
Moreover, we observed an augmentation of TAA-LP-specific T helper type 1 cell responses and tumor antigen-spreading in HNSCC patients vaccinated with TAA-SPs.
This is how the network-constrained coefficient β T Lp β induces a smooth solution of β on the known network.
