*THE BOB THEOREM* (aka: Back of the Book Theorem)

Statement: Regardless of all other ideas, laws, or information, the
answer given in the back of a text book (denoted *B*) must necessarily
concur with any result *U* (formulated independently of *B*) in
order for *U* to have any physical significance.

I give this theorem without proof because it is beyond the scope of any intellect
but mine--including all you Phd. types! A simpler restating of this theorem
says that the answer given in the back of the book possesses inherent
correctness and remains invariant under all transformations except The New Edition
Transformations. The consistent nature of *B* suggests that any method
capable of changing *U* to *B* must have validity. We can see
this in the following corollary:

*Choice of Sign Corollary:*

Statement: For any result *U* formulated independently of *B*
such that *U* = * -B*,then the addition or the removal of a minus
sign from *U* can be performed without need of any explanation or reasoning.

*Close Fit Corollary:*

Statement: For any result *U* formulated independently of *B*
such that *U* = *f*(*B*)* - c*, where *f* and *c* are constant whole numbers,
then both *f* and *c* may be substituted into calculations prior to the result of
*U* without reasoning of units.