YouTube | Chris Aldrich

📺 The trick that makes transcribing quick and easy | YouTube

Watched The trick that makes transcribing quick and easy from Quartz | YouTube

Transcribing things sucks. But we have a hack to make transcribing quick and easy–it's also free.

https://www.youtube.com/watch?v=JGAYpS5LJTY

Overview: Use Google Docs with voice record and a pair of headphones.

📺 Proving Brouwer’s Fixed Point Theorem | PBS Infinite Series on YouTube

Watched Proving Brouwer's Fixed Point Theorem by Tai-Danae Bradley from PBS Infinite Series | YouTube

There is a proof for Brouwer's Fixed Point Theorem that uses a bridge - or portal - between geometry and algebra. Analogous to the relationship between geometry and algebra, there is a mathematical “portal” from a looser version of geometry -- topology -- to a more “sophisticated” version of algebra. This portal can take problems that are very difficult to solve topologically, and recast them in an algebraic light, where the answers may become easier. Written and Hosted by Tai-Danae Bradley; Produced by Rusty Ward; Graphics by Ray Lux; Assistant Editing and Sound Design by Mike Petrow and Meah Denee Barrington; Made by Kornhaber Brown (www.kornhaberbrown.com)

https://www.youtube.com/watch?v=djaSbHKK5yc

I had originally started following Tai-Danae Bradley on Instagram having found her account via the #math tag. Turns out she’s burning up the world explaining some incredibly deep and complex mathematics in relatively simple terms. If you’re into math and not following her work already, get with the program. She’s awesome!

Personal Website: http://www.math3ma.com/
Twitter: @math3ma
Instagram: @math3ma
YouTube series: PBS Infinite Series

While this particular video leaves out a masters degree’s worth of detail, it does show some incredibly powerful mathematics by analogy. The overall presentation and descriptions are quite solid for leaving out as much as they do. This may be some of the best math-based science communication I’ve seen in quite a while.

I must say that I have to love and laugh at the depth and breadth of the comments on the video too. At best, this particular video, which seems to me to be geared toward high school or early college viewers and math generalists, aims to introduce come general topics and outline an incredibly complex proof in under 9 minutes. People are taking it to task for omitting “too much”! To completely understand and encapsulate the entirety of the topics at hand one would need coursework including a year’s worth of algebra, a year’s worth of topology including some algebraic topology, and a minimum of a few months worth of category theory. Even with all of these, to fill in all the particular details, I could easily see a professor spending an hour at the chalkboard filling in the remainder without any significant handwaving. The beauty of what she’s done is to give a very motivating high level perspective on the topic to get people more interested in these areas and what can be done with them. For the spirit of the piece, one might take her to task a bit for not giving more credit to the role Category Theory is playing in the picture, but then anyone interested is going to spend some time on her blog to fill in a lot of those holes. I’d challenge any of the comments out there to attempt to do what she’s done in under 9 minutes and do it better.

📺 Introduction to Category Theory 1 by Steven Roman | YouTube

Watched Introduction to Category Theory 1 by Steven Roman from YouTube

Lecture one of six in an introductory set of lectures on category theory.

https://www.youtube.com/watch?v=If6VUXZIB-4&list=PLiyVurqwtq0Y40IZhB6T1wM2fMduEVe56&index=1

Take Away from the lecture: Morphisms are just as important as the objects that they morph. Many different types of mathematical constructions are best described using morphisms instead of elements. (This isn’t how things are typically taught however.)

Would have been nice to have some more discussion of the required background for those new to the broader concept. There were a tremendous number of examples from many areas of higher math that many viewers wouldn’t have previously had. I think it’s important for them to know that if they don’t understand a particular example, they can move on without much loss as long as they can attempt to apply the ideas to an area of math they are familiar with. Having at least a background in linear algebra and/or group theory are a reasonable start here.

In some of the intro examples it would have been nice to have seen at least one more fully fleshed out to better demonstrate the point before heading on to the multiple others which encourage the viewer to prove some of the others on their own.

Thanks for these Steven, I hope you keep making more! There’s such a dearth of good advanced math lectures on the web, I hope these encourage others to make some of their own as well.

📺 How to speak so that people want to listen | Julian Treasure | TED via YouTube

Watched How to speak so that people want to listen by Julian Treasure from TED via YouTube

Have you ever felt like you're talking, but nobody is listening? Here's Julian Treasure to help you fix that. As the sound expert demonstrates some useful vocal exercises and shares tips on how to speak with empathy, he offers his vision for a sonorous world of listening and understanding.

📺 The Marvel Symphonic Universe | Every Frame a Painting on YouTube

Watched The Marvel Symphonic Universe by

Every Frame a Painting from YouTube

Off the top of your head, could you sing the theme from Star Wars? How about James Bond? Or Harry Potter? But here’s the kicker: can you sing any theme from a Marvel film? Despite 13 films and 10 billion dollars at the box office, the Marvel Cinematic Universe lacks a distinctive musical identity or approach. So let’s try to answer the question: what is missing from Marvel music?