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Next, the relevant adiabatic potential energy surfaces (PES) are evaluated by means of ab initio quantum chemistry techniques, together with the transition dipole and kinetic couplings of the neutral or ionic states.
Further, computational issues in applying Floquet theory are also studied, which refer to (1) the equilibrium solution for periodic forced response together with the transition matrix for perturbations about that response and (2) a small number of eigenvalues and eigenvectors of the unsymmetric transition matrix.
To establish appropriate Markov states it is thus necessary to estimate which variables have a sizeable impact on the costs associated with being in a state together with the transition probabilities determining movements between states.
This type of beating is indispensable for the effective forward swimming of spheroidal colonial and multicellular flagellates; it evolved together with the transition from unicellularity to multicellularity and is caused by the rotation of the basal bodies that underlie the flagella and determine their orientations [ 6, 8, 42, 45].
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Permeability evolution was quantified for moisture equilibrated and partially dried bituminous coal samples together with the transitions caused by sequential exposure to different gases.
The fragmentation transitions are summarized in Table S-2 (Supporting Information) together with the transition-specific cone voltages and collision energies.
Using a variational approach, we construct the Euler Lagrange equation together with the natural transition (jump) conditions at the interface.
The dynamic storage and loss modulii were studied together with the glass transition temperature (Tg) obtained from the peak of tanδ.
The recent increase in BC incidence might be explained by the high burden of legacy POPs and increased exposure to new emerging POPs such as PFCs together with the recent transition in the Inuit diet from the traditional marine food to more western food and lifestyle factors such as smoking and alcohol intake.
Change in stacking pattern breaks the lattice symmetry, which results in Lifshitz transition together with the modulation of the electronic structure.
All possible modes of the application together with the allowed transitions between them are known.
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