The past few weeks have been quite incredible. Going home for Fall Break, working hard before and after so that I could my three days of no math. Tonight I wrote up a set of solutions that had such hard work behind them, that it was such a feeling of victory as I re-wrote and read everything. I remembered all the frustration, all the giggles, all the jokes, all the "No, wait a minute"s. We've really fallen into a rhythm working together, that all our problem sets are really group efforts. But tomorrow, tomorrow is the day that we have to stop working together for a while and conquer midterms. The next two weeks will be alone mathematics time, and it will be interesting. But my weekends will be great.
When I went home for Fall Break, I went through some old pictures of my life pre age 7. For some reason I just wanted to see them. And I brought a few home, one of which is now above my desk to remind me of the complete joy and excitement that are in life if you can just recognize it. I was absolutely happy in this picture, really in all the pictures I saw. Favorites included: old man lounging, LOOK! it's my baby sister!, and the crayons on the sweatshirt. Recently I felt so removed from my childhood self, that I wanted to reconnect those bonds. It's good to remember myself as a child. Oh, and try explaining to a 4 year old why parents are always older than their children. That's a fun one that I don't really know how I got into.
Your tidbit of analysis for the evening: An absolutely continuous function maps measurable sets to measurable sets, and if F is of bounded variation, then the integral of the absolute value of its derivative is equal to its total variation if and only if F is absolutely continuous.
I hope you've enjoyed Analysis in the Evening, thanks for joining us. And if you want to know why those things are true, I can definitely tell you, thanks to Team Table (and Team Theorem)!
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