Searching for remedies, Dirac in 1932 33 introduced the "many-times formulation" (sometimes called "interaction representation") and the quantum analog for the principle of least action, later developed by Richard Feynman into the method of path integration.
The deduced charge dipole interaction representation at 633 and 3000 nm is shown on the right of Fig. 2.
In the framework of quantum probability, stochastic flows on manifolds and the interaction representation of quantum physics become unified under the notion ofMarkov cocycle.
We thus recommend BioTriangle when molecular or interaction representation is need for exploring questions concerning structures, functions and interactions of various molecular data in the context of biomedical studies.
Besides its capability of describing and distinguishing nucleotides, proteins and small molecules of different structural, functional and interaction profiles, we further stress that molecular descriptor provides a convenient and consistent way of molecular or interaction representation, and is thus a suitable choice to meet the needs mentioned in the previous paragraph.
end{aligned} (A.3) In the interaction representation, we have (H_{T}(t)=e^{iHt/hbar} H_{T}e^{-iHt/hbar}) and (hat{J}_{ito i+1}(t)=e^{iHt/hbar} hat {J}_{ito i+1}e^{-iHt/hbar}) and the average tunneling current density satisfies the Kubo formula [48] begin{aligned} J_{ito i+1}(t)= frac{1}{hbar} int_{-infty}^{t} bigllangle bigl[hat{J}_{ito i+1}(t),H_{T} bigl(t'bigr bigr] bigrrangle, dt'.
Auditory, visual, and interaction predictors could be alternatively described as an approximation of the 3 Fourier coefficients of the time courses in the audiovisual interaction representation frequency, and the auditory and visual stimulus representation frequencies (Hertz and Amedi 2010).
Colour code and interaction representation are as in Figure 3. DOI: http://dx.doi.org/10.7554/eLife.06034.035 We first addressed whether the HoxB8 and HoxE could interact with the 35 Drosophila TFs, as previously done with Drosophila Hox proteins (see also 'Materials and methods').
However, in order to reuse an existing system, its interoperation interface has to be modified so as to comply with the objective and interaction representations defined in a corresponding Federation Object Model (FOM).
We identify critical aspects of the system from four points: (1) interactions with representations 'I' produced; (2) representations as indices for thoughts; (3) hands-on representations; and (4) limiting the automation.
