Sentence examples for dense domains from inspiring English sources

The concept picture for C S H which follows is that of a crystalline semi-continuum, with dense domains ("crystallites" or "particles") iono-covalently bonded to each other, possibly entangled also, and embedded as long as the mesoscale porosity is water-saturated in a relatively weak attractive stress field due to fluctuating electrostatic forces.

At the same time, in dense domains, the overhead of reachability analysis does not affect the general performance of model reduction because we use efficient ADD operations to find the reachable states.

In the present paper, the well-posedness of the initial value problem for the delay differential equation d v ( t ) d t + A v ( t ) = B ( t ) v ( t − ω ) + f ( t ), t ≥ 0 ; v ( t ) = g ( t ) ( − ω ≤ t ≤ 0 ) in an arbitrary Banach space E with the unbounded linear operators A and B ( t ) in E with dense domains D ( A ) ⊆ D ( B ( t ) ) is studied.

The fact that our domain boundaries are more enriched for CTCF sites indicates that our smaller, more dense domains may be more desirable from the perspective of genome function.

We give two integrability criteria for representations of Banach Lie algebras as skew-symmetric unbounded operators on a dense domain of a Hilbert space.

Then Φ ( B ) is a closed operator with dense domain.

Proposition 4.1 The operator A is m-completely accretive with dense domain.

Then (S_{2}) is a linear maximal monotone operator possessing a dense domain in (L^{q} 0, T; W^{1,q}(Omega))).

Then (S_{i}) is linear maximal monotone operator possessing a dense domain in (V_{i}), where (i inmathbb{N^).

Then (S_{1}) is a linear maximal monotone operator possessing a dense domain in (L^{p} 0, T; W^{1,p}(Omega))).

Then S is a linear maximal monotone operator possessing a dense domain in V. Proof It is obvious that S is closed and linear.