For now, we return to the last of the example equations at the top of this section, V = ℘V.
Consequently, for example, equation (3.93) of Weaver (1994) is comparable to Eq. (4).
In the opposite situation, that is, in the superlinear case (alpha<beta), in spite of many examples of equations of type (3) having solutions of type (6), which can be easily produced, until now no general sufficient conditions for their existence are known.
For example, the equation of Dainichi's body-and-mind with the cosmos itself also means the immanent presence of the Buddha within, and as, the body-and-mind of each and every one of us.
(For purposes of argument, I will pass over everything fudgy in the picture drawn by Murray, including, for example, his equation of "suburbs" with economic affluence, even as suburban poverty has skyrocketed).
A well-known example is the equations of basic electric circuit analysis.
In this paper we give several such examples for difference equations of the type x_{n+1} = f_{0}(x_{n}) + f_{1}(x_{n-1}), quad n=0,1, ldots, (3) where (f_{i}), (i=0,1) are continuous and increasing functions.
For example, the plain-vanilla equations of the Standard Model say, strictly speaking, that the charge of the bare electron is infinite; as you approach the electron, the measured charge increases without bound.
Numerical examples for more realistic equations of state which show the robustness of the method are also presented.
Another nontrivial example of Equation (4) that arises in cycle kinetics in unimolecular systems is due to T.L. Hill [2] [5].
