Sentence examples for thereby t from inspiring English sources

Thereby ( t k ) k is bounded, hence it has a convergent subsequence.

Thereby, T is compact in (overline{Omega(r_{2})}backslashOmega (r_{1})), and thus (T:overline{Omega(r_{2})}backslashOmega (r_{1} rightarrow P) is completely continuous.

The control function u is given in L 2 ( J, V ), a Banach space of admissible control functions with V as a Banach space, and thereby T = { ( t, s ) : 0 ≤ s ≤ t ≤ b }.

Proof For any x ∈ A and t ∈ [ 0, 1 ], t ( x − x 0 ) + x 0 = t x + ( 1 − t ) x 0, thereby, t ( x − x 0 ) + x 0 ∈ A follows immediately from A being a convex set, which implies t ( x − x 0 ) ∈ A − x 0, the proof is complete.

Thereby, T and together form a tree of Poisson processes, which we denote as Poisson Tree Processes (PTP).

Thereby, T cell restimulation with the mix was most effective, followed by restimulation with FPH and FPH4, which was significantly better than restimulation with Bet v 1.0101.

The PD-1/PD-L1 interaction would block the TCR-driven "stop signal" that limits T-cell mobility and thereby interrupts T cell-DC contacts and T-cell activation, proliferation, and cytokine production (Benvenuti et al., 2004).

CTLA-4 is a candidate gene for RA since its product, expressed exclusively by T-cells, has an important role in down-regulating CD28-mediated T-cell co-stimulation, thereby attenuating T-cell activation [26].

It plays an important role in maintaining intracellular levels of S1P thereby affecting T cell egress from lymphoid tissues.

Carrying the risk allele is suggested to result in higher TL1A expression and thereby stronger T cell activation and immune response.

The underlying migratory and/or tissue homeostatic mechanisms regulating this distinct immune cell tissue compartment localization/distribution remain to be defined, yet recent studies suggest that neutrophils can suppress and thereby dampen T cell activity at sites of inflammation [19].