Most wave functions won't be in the solution set, but they'll be expressible as a sum of elements of the solution set.
32.
Flats are important in linear algebra, where they provide a geometric realization of the solution set for a system of linear equations.
33.
For three variables, each linear equation determines a plane in three-dimensional space, and the solution set is the intersection of these planes.
34.
Most wave functions won't be in the solution set, but they'll be expressible as a sum of elements of the solution set.
35.
All this requires commitment to a long-term solution set, while constantly changing the solution itself in order to work through the bureaucratic hurdles.
36.
In addition, P " n " P can have multiple solutions, and choosing a particular solution would require post-processing of the solution set.
37.
That should show that the solution set is discrete, without invoking Sard's theorem .-- Trovatore 19 : 39, 23 June 2007 ( UTC)
38.
The discretization allows us to enumerate the entire solution set ( this is not possible in general when using global optimization methods ).
39.
The roots ? of the characteristic equation are called characteristic roots or eigenvalues and the solution set is often referred to as the spectrum.
40.
The prime factors of primary pseudoperfect numbers sometimes may provide solutions to Zn�m's problem, in which all elements of the solution set are prime.