A low intensity time of a certain length was necessary to minimize the contact angle, and consequently, the stationary waveform was inappropriate for the modification.
Energy smoothing of REMS is equivalent to introducing an error into the calculation of the Metropolis criterion, and consequently produces non-stationary distributions of Markov chains of configurations.
These authors assumed that the cross-linking immobilized the LBDs in cleft-closed conformations, and consequently concluded that throughout stationary gating, agonist-bound LBDs also stayed predominantly in cleft-closed conformations and made only infrequent excursions to cleft-open conformations.
The material to be separated has different interactions with the solvent and stationary phase; consequently, it moves through the tube slower than the solvent.
In this case, these structures can be supposed relatively stationary and consequently they can be treated as spatial magnetic fluctuations rather than temporal ones.
However, as Fe III) was depleted at 25 hr, the cells reached stationary phase, consequently proton production associated with growth stopped and the acid had to be gradually added externally by the pump until it reached volume of 21 ml.
Then the Markov chain {(X n, Z n )} has stationary distribution, and consequently, {X n } has stationary distribution.
Then the Markov chain (X n, Z n ) determined by Equation (1.2) does not have stationary distribution, and consequently, there is no stationary distribution about {X n }.
(ii) If every component of T x) and every element of θ(x) are both continuous function on R q such that C = : max d i s p l a y s t y l e ∫ R q ∥ t ∥ r ⋅ f j ( t ) r ⋅ μ q ( d t ) : j ∈ E 1 r < + ∞ and (||T x)|| + c||θ(x)||1) r ≤ ||x|| r - ε, ||x|| > K, where r ≥ 1 and ε, K > 0, then {(X n, Z n )} has stationary distribution, and consequently, {X n } has stationary distribution. .
If every component of T x) and every element of θ(x) are both continuous function on R q such that C = : max d i s p l a y s t y l e ∫ R q ∥ t ∥ r ⋅ f j ( t ) r ⋅ μ q ( d t ) : j ∈ E 1 r < + ∞ and (||T x)|| + c||θ(x)||1) r ≤ ||x|| r - ε, ||x|| > K, where r ≥ 1 and ε, K > 0, then {(X n, Z n )} has stationary distribution, and consequently, {X n } has stationary distribution.
