Sentence examples for associated to define from inspiring English sources

A simple detection system is associated to define the state of the generator (number and type of opened phases in faulty operation) and to switch to the appropriate control system.

We denote the Nemytskii operator associated to defined by (2.11).

We denote that is the Nemytski operator associated to defined by.

We denote by the Nemytski operator associated to defined by (2.29).

The heterogeneity of the NB cell transcriptome complicates the identification of specific gene expression signatures associated to defined biological responses such as environmental stimulation that, albeit biologically very important, may be overshadowed by major genetic alterations as those caused by oncogenes which impact on several aspects of cell physiology.

Lemma 2.2 Let α ( x ) be a nonnegative continuous function satisfying (4), let Λ = { λ n = | λ n | e i θ n : n = 1, 2, … } be a sequence of complex numbers satisfying ℜ λ n > 0, furthermore, let N Λ ( R ) be the function associated to Λ defined by (5), α ∗ ( R ) and M α ∗ ( R ) be defined by (6) and (7) separately.

We use Brownian motion to study the relationship between the Dirichlet spectrum of D and the heat content asymptotics of D. Central to our investigation is a sequence of invariants associated to D defined using exit time moments.

The modulus of noncompact convexity associated to is defined in the following way: (3.25).

We denote by N f ( u ) : P C 1 → L 1 the Nemytskii operator associated to f defined by N f ( u ) ( t ) = f ( t, u ( t ), u ′ ( t ) ), a.e.

For an open set (Usubset {{mathbb C}}^n), let ({{mathcal D}}^{0,1} Ucap overline{Omega })) be the forms in Dom ((bar{partial }^*)) which are also smooth on (Ucap overline{Omega }), and let (Q u,u)=||bar{partial }u||^2 +||bar{partial }^* u||^2) be the Dirichlet form associated to (square ), defined on ({{mathcal D}}^{0,1}(Omega )).

Then p ( T ) is a k-quasi-M-hyponormal operator for somenonconstant polynomial p. Let λ ∈ iso σ ( T ) and E λ be the Riesz idempotent associated to λ defined by E λ : = 1 2 π i ∫ ∂ D ( μ − T ) − 1 d μ, where D is a closed disk of center λ,which contains no other point of σ ( T ).