Sentence examples for be solved exactly for from inspiring English sources
An idea of Born is reviewed and elaborated to non-separable quantum-mechanical eigenvalue problems in which the Schrödinger equation can be solved exactly for a subconfiguration.
The equation can be solved exactly for an atom containing only a single electron (hydrogen), and very close approximations can be found for atoms containing two or three electrons (helium and lithium).
The LIF model can be solved exactly for any value of N, starting from the asymptotic value ( N → ∞ ).
The estimation methods proposed by AKM have been improved so that the statistical model can now be solved exactly for the fixed‐effects case.
Note that this is not a mathematically defined class, but rather an intuitive notion of those problems that can be solved exactly, for all the instances of reasonable size, within a reasonable amount of time, using a computer that we can afford.
The downside of their method is that the generating function equation can only be solved exactly for networks composed of first-order processes (as in the gene example presented by Shahrezaei and Swain) or very simple bimolecular reactions [ 19] and hence the method has a restricted range of applicability compared to the ssLNA.
The equation of motion for the two reaction boundaries is solved exactly for flat samples applying a Lambert W function.
In the buckling phase the Von-Karman's equilibrium equation is solved exactly for the FSDT to obtain out-of-plane mode shapes and critical loads.
The introduction of a cylindrical polar coordinate system renders the resulting governing equations of motion and energy to a form which can be solved exactly, thus obtaining the expressions for velocity and temperature fields.
In particular, the form of the analytical solution for linear modified equations can be solved exactly.
Verification asks the question "am I simulating the model correctly?" whereas validation asks "am I simulating the correct model?" Verification is usually done by considering a simplified system for which the model can be solved exactly (i.e. theoretically).
