Sentence examples for 2 manifold from inspiring English sources

Between mode 1 and mode 2 manifold creative arrangements and configurations are possible, linking together basic research and problem-solving' (Carayannis and Campbell [2010], p. 57).

The excited Er3+ ions in the 4 I 9/2 manifold will nonradiatively decay to the 4 I 15/2 manifold.

This reduces the Er3+ population in the 4 I 13/2 manifold.

Cooperative upconversion is an energy-transfer process between two excited Er3+ ions in close proximity that interact in the 4 I 13/2 manifold [16].

One excited Er3+ ion (donor) transfers energy to the other excited ion (acceptor), causing the acceptor to be promoted to the 4 I 9/2 manifold and the donor to be deexcited to ground state 4 I 15/2 nonradiatively.

Open image in new window Fig. 7 A perimeter almost minimizer F. If E is an ((omega, r_0))-almost minimizer, then (partial ^*E) is a (C^{1,1/2}) manifold, (partial E{setminus }partial ^*E) is relatively closed in (partial E) and ({mathcal H}^s(partial E {setminus } partial ^* E =0) for all (s> n-8).

Using the 2D manifold, unsteady simulations are performed.

In the luminescence spectrum, the domination of a single prominent narrow line from the hypersensitive 5D0 - 7F2 manifold of Eu3 + ions is observed, while the 5D0 - 7F1 manifold and ultranarrow 5D0 - 7F0 line are of comparable peak intensity.

Using unsteady flamelet simulations, a 3D manifold is generated, which is parameterized using three controlling variables.

However, since F ∈ C 1 ( R 2, R ), M may not be a C 1 manifold.

SPE was performed with a VAC ELUT SPS24 manifold (Varian) at flow rates ~10 15 mL/min.