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PROFESSOR: Would solving this equation for some potential, and since h is Hermitian, we found the results that we mentioned last time. That is the eigenfunctions of h are going to form an orthonormal set of functions that span the space. You can expand anything on there. This is what we proved for a general condition operator to some degree. So the eigenfunctions form an orthonormal set that spans the space. So you're going to define that psi 1 with an E1 and psi 2 with an E2, and then this continues. And this is called the spectrum of the theory because energy eigenstates are considered the gold standard. If you want to find solving a theory means finding the energy eigenstates. Because if you find the energy eigenstates, you can solve, you can write any wave function of superposition of energetic states and then just let them evolve. And the energetic states involve easily because they are just stationary states. So the spectrum of the theory is the collection of nu...

Okay, so solving successfully finished, and we've got the results. If you had any trouble solving this problem, then you should go into Options in the Solver and select that you want to edit the length of solution time and increase it past 100 seconds. The LibreOffice Solver is not incredibly powerful, so it may need more time to find the solution. We do recommend that if you have access to Excel, that you use Excel instead for integer optimization problems, because Excel is a little bit better with integer optimization. However, you probably got the solution just fine. So you'll want to go ahead and click Keep Result. So now, we can take a look at our solution. So we've got the objective of 4.46. This is not particularly interpretable, until you remember that what our objective is, is the total of all departments percent of target allocation hours reached. So the best possible number that we could get here would be 5, if every department had 100% of their tar...