| Theorem Summary | Fundamental Theorem of... |
|---|
| Any sufficiently smooth, rapidly decaying vector field in three dimensions can be resolved into the sum of a curl-free vector field and a divergence-free vector field. | |
| On any ______ manifold there is a unique torsion-free metric connection. | |
| Every time you play a hand differently from the way you would have played it if you could see all your opponents' cards, they gain. | |
| Any integer greater than 1 can be written as a unique product of prime numbers. | |
| Every subgroup of a ______ group is cyclic. | |
| Indefinite integration can be reversed by differentiation. | |
| Every ______ ______ ______ group G is isomorphic to a direct sum of primary cyclic groups and infinite cyclic groups. | |
| Given a field extension E /F which is finite and ______, there is a one-to-one correspondence between its intermediate fields and subgroups of its______ group. | |
| The maxima and minima of a linear function over a convex polygonal region occur at the region's corners. | |
| Every non-constant single-variable polynomial with complex coefficients has at least one complex root. | |
| Any regular curve with non-zero curvature has its shape completely determined by its curvature and torsion. | |
The Nine Planets 
Digits of Pi 
Multiplication Table
