Sentence examples for closed components from inspiring English sources

It does still intend to open source as much of these closed components as it can — but says a lack of resources continues to slow that process down.

The fitting results revealed that open- and closed-duration distributions of the Kir6.2/SUR2A channel could be best described by a sum of two open components and a sum of three closed components, respectively (Fig. 5A; a representative patch).

Then H − 1 ( { e } ) corresponds to the union of a finite number of closed connected components, that is, H − 1 ( { e } ) = ⋃ i = 1 n E H, e, i, for n ∈ N. Note that Hamiltonian flows are symplectic and volume preserving, which is known as the Liouville theorem.

If (H1) holds, then there exists an unbounded closed connected component (C=C_{lambda}) of solutions for (4.1) λ.

By the global bifurcation theorem, (H1) guarantees that there exists a closed connected component (C=C_{lambda}) of solutions for (4.1) λ that satisfies (i) or (ii).

Let Gamma=overline{bigl{ (lambda,V inmathbb{R}times E: V=lambda SV+FV, V neq0bigr} }, and let (mathcal{C}) be a closed connected component of Γ that contains ((lambda,0)).

Because (lambda_{1}) is the principle eigenvalue of the eigenvalue problem (2.6) with the associated eigenfunction (psi_{1}>0) on Ω and its multiplicity is simple, by the global bifurcation theorem there exists a closed connected component (mathcal{C}) containing ((lambda_{1},0)) and satisfying (1) or (2) for solutions to (1.6).

If H satisfies condition (4.4), then the set Sigma=overline{bigl{ (lambda; u inmathbb{R}times E u =lambda Lu + H( lambda,u); uneq0bigr} } has a closed connected component (C = C_{lambda}) such that ((lambda,0 in C) and (i) C is unbounded in (mathbb{R}times E), or   (ii) there exists (hat{lambda}neqlambda) such that ((hat {lambda}; 0 in C) and (hat{lambda}^{-1}insigma(S)).  .

So there exists a closed connected component C n of solutions (3.1) such that C n is unbounded in [ α n, β n ] × X and either (i) C n is unbounded in λ direction, or   (ii) there exists an interval [ c, d ] such that ( α n, β n ) ∩ ( c, d ) = ∅ and C n bifurcates from infinity in [ c, d ] × X.  .

Drawing on principles from General Systems Theory (von Bertalanffy 1969) and, in particular, Leveson's System Theoretic Accident Model and Processes approach (Leveson 2012), Flach et al. lay out a framework for understanding 'communicating' and 'deciding' as reflecting processes of observability and controllability across the multiple closed-loop components of complex sociotechnical systems.

Under stable and regenerative chatter conditions and using Fourier series components, closed form expressions for the nonlinear cutting forces are derived.