Sentence examples for be solved explicitly for from inspiring English sources
There are only few potentials for which the radial Schrodinger equation can be solved explicitly for n and l.
If there is no boundary condition (in particular,, and (H3; ) is vacuous) and the system can be solved explicitly for in terms of and its derivatives.
We have also given the explicit solution of these equations which can be extended for all (t>0), and then some non-classical heat conduction problems can be solved explicitly, for any real parameter λ.
In Appendix S1, we calculate how persister strategies relate to growth and survival through catastrophe events, and hence Darwinian fitness, and arrive at an implicit solution for the ESS:
The arrival rate for patients demanding a nursing home bed satisfies the implicit function (4) which can be solved explicitly for the arrival rate as (5) with (6) where.
The differential equations described by eq 47 can be solved explicitly for the transport through one bilayer, providing the chemicals bind neither to the interfaces nor to proteins (b ijk = 0) and do not ionize (d ij = p ijk = 0).
The heat transfer equation was solved explicitly for a composite wall.
Here, we give a full mathematical proof of generation under uniform forcing in a simple piecewise affine setting for which the dynamics can be solved explicitly.
In order to get mathematical insights into wave generation under ad hoc forcing, here, we analyze simple piecewise affine systems for which the dynamics can be solved explicitly.
Perhaps the most important difference between (1.2) and (1.4) is that in contrast to (1.2), (the solution of which is given explicitly in (1.3)) (1.4) (or even its simplest form (1.5)) cannot be solved explicitly so as to obtain its solution in closed form (except for certain values of the parameters) (see, e.g., [6, page 120] and [7, page 14]).
(11) Inserting (11) into (10) we obtain two partial differential equations for functions (R(r), Phi varphi)), respectively, which can be solved explicitly, see details on [8].
