Today in church (I go because my parents would be suspicious of my religious beliefs if I did not), I was thinking, and I may have come up with a way to "fill in the gaps" in differentiation. In addition to having first, second, third, etc. derivatives, I may have found a way to do, say, half derivatives.

This is big if it's actually right. REAL big.

Due to the magnitude of its potential impact on the world of mathematics' academia, I can't really go into details at this time, but...good God-I'm ecstatic right now.