The interaction matrix for this system is very similar to that of a circle except the interaction terms in the lower left and upper right of the matrix are deleted ( those that describe the interactions between species 1 and " N ", etc . ).
42.
Relativistic Hamiltonians are analogous to those of non-relativistic QM in the following respect; there are terms including rest mass and interaction terms with externally applied fields, similar to the classical potential energy term, as well as momentum terms like the classical kinetic energy term.
43.
For example, mass : the part of the interaction term which corresponds to the ( nonzero ) vacuum expectation value of the Higgs field is moved from the interaction to the free field Lagrangian, where it looks just like a mass term having nothing to do with Higgs.
44.
Massive gravity is a bimetric theory in the sense that nontrivial interaction terms for the metric g _ { \ mu \ nu } can only be written down with the help of a second metric, as the only nonderivative term that can be written using one metric is a cosmological constant.
45.
This specification involves the same number of right-side variables as does the previous specification with an interaction term, and the regression results for the predicted value of the dependent variable contingent on X i, for any combination of qualitative traits, are identical between this specification and the interaction specification.
46.
If the experiment contains no replication and the model for the implant contains only the main effects and two-factor interactions, the three-factor interaction term A * B * C ( 1 degree of freedom ) provides the error term for the estimation of effects within the implant experimental unit.
47.
Where, \ nu _ 2 is the volume fraction of polymer in the swollen mass, V _ 1 the molar volume of the solvent, n is the number of network chain segments bounded on both ends by crosslinks, and \ chi _ 1 is the Flory solvent-polymer interaction term.
48.
This " interaction term " describes processes in which a fermion in state " k " either absorbs or emits a boson, thereby being kicked into a different eigenstate k + q . ( In fact, this type of Hamiltonian is used to describe the interaction between conduction electrons and phonons in metals.
49.
Often, models are presented without the interaction term d ( x _ 1 \ times x _ 2 ), but this confounds the main effect and interaction effect ( i . e ., without specifying the interaction term, it is possible that any main effect found is actually due to an interaction ).
50.
Often, models are presented without the interaction term d ( x _ 1 \ times x _ 2 ), but this confounds the main effect and interaction effect ( i . e ., without specifying the interaction term, it is possible that any main effect found is actually due to an interaction ).
