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Daniel Slonim
Приєднався 21 гру 2011
Відео
Trying to Block the Spread of the Virus
Переглядів 1,2 тис.4 роки тому
Enjoy this song during your quarantine. To the tune of "I Am a Rock," by Simon and Garfunkel. Lyrics: A cold March day The streets outside are silent I am alone Looking out my window I try to keep my nerve And sit inside to flatten out the curve Trying to block The spread of the virus I work from home If you can even call it working I schedule meetings remotely And try hard to conceal the mess ...
Taylor Series
Переглядів 1137 років тому
I talk about some of the ideas behind Taylor Series, beginning with a discussion of geometric series and power series.
Lebesge Outer Measure and Lebesgue Measure
Переглядів 1,5 тис.8 років тому
I discuss an equivalent definition of Lebesgue outer measure and introduce Lebesgue measure as a restriction of Lebesgue outer measure.
Lebesgue Outer Measure
Переглядів 2,8 тис.8 років тому
I introduce Lebesgue Outer measure and show that it is monotonic and sigma-subaddative.
Proof of the Borel-Cantelli Lemma
Переглядів 4,8 тис.8 років тому
I prove the lemma as part of my studying for a midterm in Real Analysis class. I'm mostly making these videos for my own studying benfit, so they're not professional quality, but I thought I'd share them in case anyone finds them helpful.
Properties of Sigma Algebras and Measures, Part II
Переглядів 6438 років тому
I prove four basic properties of measures that I introduced in the last video.
Properties of Sigma Algebras and Measures, Part I
Переглядів 2,6 тис.8 років тому
I state and prove two properties of sigma algebras. I state four properties of measures, which I will prove in the next video. I give a counterexample to show why continuity from below requires the hypothesis that at least one of the sets have finite measure.
Introduction to Measure Theory
Переглядів 2,7 тис.8 років тому
I'm making some videos on measure theory as a way to help me study for a midterm in a graduate Real Analysis class. These won't be professional quality, but I'm posting in case they're of any help to anyone else.
The Distance Set of a Set of Positive Measure Contains an Open Interval around the Origin
Переглядів 1538 років тому
I'm studying for a midterm in a graduate Real Analysis class, and making these videos helps me study. It's not professional quality, but I figured I'd share it in case anyone finds it helpful.
Combinatorics and the Multiplication Rule
Переглядів 7389 років тому
An introduction to some basic combinatorial principles and strategies, including the multiplication rule.
Countertop Clowns (Doritos)
Переглядів 9911 років тому
I submitted this to the Doritos Crash the Superbowl contest in 2010.
I know this is 7 years old, but I guess let me be the first to say this was super helpful!
Haha thanks! I made these the night before a midterm during my first semester of grad school. Now I have my PhD and I’m doing a postdoc studying probability theory. I’m glad so many people found the videos helpful; I cringe every time I watch them though lol!
What I think when my cousin does a comedy song is. My cousin is awesome with math and comedy. A very gifted person.
Ah Daniel, you crack me up!
Rawk awn!
nice introduction... motivated by concept explained... 😇...waiting for future videos
plz make a complete playlist on measure theory and the backgrounds that lead to its development
I would love to do that! Unfortunately, I have to focus on getting through my other classes right now, so I don't have time to do all the research and work that a project like that would take. But I might make some videos on complex analysis over the summer if I have time. Thanks for watching, and for your positive feedback!
The name I was looking for was De Morgan, FYI.
thank u so much just continue you r amazing
I'm glad you found it helpful!
great vid...helped a lot