Abide By Reason

Hey, I'm Dan. I make Math and Physics content. I'm also the creator of the YouTube channel Abide By Reason

[Abide By Reason @AbideByReason]

@Daniel_Batal I've found community posts very helpful for gauging audience interests and general feedback too. Didn't know the limit on notifications once every 3 days, good to know. Thanks for sharing!

[Abide By Reason @AbideByReason]

@Daniel_Batal @YouTubeInsider Thanks man, I'm so pumped right now! Can't thank you enough for helping me out ❤️

[Abide By Reason @AbideByReason]

Huge shoutout to @YouTubeInsider and @Daniel_Batal for their help and support last year. A little over a year ago, my AdSense account was mistakenly banned. Daniel and Rene, you helped get a real human to look at it and give me my channel back. I had around 5k subs back then, now I just passed 100k and am starting to make a real living with my channel. Thank you sooooo much Daniel and Rene!!!

[Abide By Reason @AbideByReason]

@zulu_brah So you obviously bought the device right?!

[Abide By Reason @AbideByReason]

The little known link between Schrödinger and Classical Mechanics. He was heavily inspired by something called Hamilton's Optical Mechanical analogy, a beautiful analogy that connects Optics with Mechanics. This is a clip from a longer video (on YouTube) I made explaining how Schrödinger derived his famous wave equation.

[Abide By Reason @AbideByReason]

An interesting consequence of this is that if you imagine randomly throwing a dart at the unit interval of the real line, the probability of hitting an irrational number is 100%.

In a longer video on YouTube, I show how the mathematics of Measure Theory provides a rigorous foundation for this. It does this by assigning a proper mathematical length or measure to subsets of the Real Line.

[Abide By Reason @AbideByReason]

full video here: https://t.co/GWKOEIjOip

[Abide By Reason @AbideByReason]

A simple, yet powerful math trick called the Legendre Transform. It captures a beautiful duality between points and lines, plus fundamental quantities found in both classical mechanics and thermodynamics. Link to full video explaining this in detail is below.

[Abide By Reason @AbideByReason]

@Almost_Sure Wow, beautiful!

[Abide By Reason @AbideByReason]

A nice visual I created showing functions being produced via their tangent lines.

[The Nobel Prize @NobelPrize]

BREAKING NEWS
The Royal Swedish Academy of Sciences has decided to award the 2025 #NobelPrize in Physics to John Clarke, Michel H. Devoret and John M. Martinis “for the discovery of macroscopic quantum mechanical tunnelling and energy quantisation in an electric circuit.”

[Abide By Reason @AbideByReason]

@BenSyversen @3blue1brown Fantastic video Ben! As always, very entertaining and extremely informative.

[Abide By Reason @AbideByReason]

@Almost_Sure Yes, looks very good

[Abide By Reason @AbideByReason]

Incredible video from Ben here!

[Ben Syversen @BenSyversen]

In the early 1600's, arguably the biggest obstacle to scientific progress was ... arithmetic.

Scientists spent months doing longhand computations to test their ideas.

But then, a new invention changed everything: logarithms.

My new video, out now: https://t.co/Vqy2sLoX5S

[Abide By Reason @AbideByReason]

@piper_of_dawn_ Hey! Glad you like my videos. I don’t use AI. My wife does the sketches. The subtle animations are done with Manim

[Abide By Reason @AbideByReason]

MATH STORY TIME

If you don’t know what a Hilbert Space is, you’re in good company. As the story goes, the great mathematician David Hilbert, once entered a lecture hall. The speaker that day was fellow math giant, John von Neumann. The topic, Hilbert Spaces. At the end of the lecture, a confused Hilbert raised his hand to ask just one question:

"Dr. von Neumann, I would very much like to know: What is a Hilbert Space?"

While the story is likely just a legend, it amusingly captures the importance that both of these figures played in the development of Hilbert Spaces. Hilbert did much of the groundwork and von Neumann finished it off by giving the first complete definition of them.

[Abide By Reason @AbideByReason]

@WrathofMathEDU Thank you!

[Abide By Reason @AbideByReason]

MATH HISTORY TIDBIT

Once when Henri Lebesgue entered the Scottish Cafe (a coffee shop in Poland), he was given a menu written in Polish. After staring at it for a while, Lebesgue handed the menu back to the waiter and said, "No, thank you. I only eat well defined objects."

Interestingly, this cafe was a common place many of the legends of 20th century Mathematics loved to work in. Frequent visitors included Stefan Banach, Hugo Steinhaus, John von Neumann, and many others.

A typical day would involve someone proposing an unsolved math problem, writing it on the marble top in the cafe, and offering a prize to whoever solved it. One of the more interesting was "a bottle of whiskey of measure > 0" offered by von Neumann.

[Abide By Reason @AbideByReason]

@AlexKontorovich Lady Bird Lake. Rent a paddle or kayak. Even just going for a walk in that area is great! Then when the sun sets, watch the bats. Also, if you're into bbq there are lots of great places to try.