Sentence examples for acting on phase from inspiring English sources

Suppose that a group Γ acts on a vector space V with an irreducible subspace W. Then an isotypic component of that action is the sum of all representations of Γ in V that are isomorphic to W. The theory of equivariant Hopf bifurcations states that such bifurcations occur generically with a center subspace in one of the isotypic components of the symmetry group acting on phase space.

An important consequence of symmetry is that at a symmetric equilibrium the Jacobian of a symmetric system of differential equations, such as (2), is block diagonalized by the isotypic decomposition of the symmetry group acting on phase space [5].

Clusters C80 and C81 were activated at phase-2, which are likely due to a different set of Group-II (Os03g15660: RAP2.1/2.6/2.10 group), Group-III (Os06g03670: DREB1andBF3) and Group-VII (Os03g08490: ERF2-like) genes distinct from those acting on phase-1 genes.

Based on the measured results and the analyses of the forces acting on each phase, a one-dimensional three-phase hydrodynamic model was developed.

He began acting on stage and radio.

These observations are correlated to internal stress calculations, such as normal stress acting on the phase boundaries.

In this section we introduce several evolutionary processes by briefly stepping through a series of events starting with a random mutation producing an overlap, followed by an immediate benefit of the overlap leading to the fixation the overlapping variant, and the subsequent differential selection acting on overlap phase to satisfy variational constraints.

This force, acting on the three phase contact line, can be inserted in the equation of Young (1): (13).

The three forces are represented in Fig. 2. Figure 2 Surface forces acting on the three phase contact line of a liquid droplet deposited on a substrate.

Additionally, a strong solid-solution hardening effect of Si acting on the fcc phase was found to occur without loss of ductility.

Based on these observations, it has been proposed that both iron oxide and copper chromite are primarily acting on the condensed phase.