Enter the world of the Mathologer for really accessible explanations of hard and beautiful math(s).
In real life the Mathologer is a math(s) professor at Monash University in Melbourne, Australia and goes by the name of Burkard Polster. These days Marty Ross another math(s) professor, great friend and collaborator for over 20 years also plays a huge role behind the scenes, honing the math(s) and the video scripts with Burkard. And there are Tristan Tillij and Eddie Price who complete the Mathologer team, tirelessly proofreading and critiquing the scripts and providing lots of original ideas. If you like Mathologer, also check out years worth of free original maths resources on Burkard and Marty's site www.qedcat.com.
I just saw a reddit post with 333 likes about something unrelated that made me think thats half the number of the beast, then i remembered 369 was a special number for Tesla and did a search for a vid to watch. Coincidence or is it something deeper hmm... coincidence.
I don't get it, I really tried, after 12:43, I don't really get it, I was hoping to become more intuitive and understanding of how it came to be, but I couldn't really connect the dots. it's alot
I have a question. Say I start with the number '1' and I then have a 25% chance to add 1 to it and a 75% chance to just stop. If I add 1 to it the process repeats indefinitely, until I don't add 1 to it and then the number stops on whatever it currently is. My question is now how do I find what the 'average' result would be after attempting this process an arbitrary number of times. Would continued fractions be helpful in figuring this out or would this require some statistical formula I'm unaware of? Each step of the process has a 1/4 chance on just continuing onto infinity but the percent chance for each larger number is getting exponentially smaller.
I’m disappointed that you didn’t use pi for either the multiplier or the modulus. Guess I’ll have to write a program to show me what happens. 🤔 *edit - use pi as the multiplier and 512 as the modulus and it’s looks very interesting
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Dude I hope you teach math. Our school system is so dry, you’re literally teaching sacred geometry with numbers. If I had learned this when I was young I would understand the universe much better.
from triangle inequality the diameter of wiper curve is larger because if you take triangle with base of diameter of wiper and center of circle then 2r_circle < d_wiper
Could you instead count down from the assassin that killed Batman, ignoring the initial numbers? Let’s say that the assassin that killed Batman is assassin i, while the assassin immediately to the left of him is 2i, the next is 3i, so on.
I once asked a math teacher what exactly is calculus. They began doing examples on the board. After politely watching the teacher go through the steps on how to solve a problem, I said that I wasn't asking how to do calculus but rather what it is as a concept. After mumbling something about change over time, they gave up. So I majored in philosophy.
To an Engineer every number has value and precision. So my 10 is a ten to the precision of my measurement. My 0.9999... is to the precision of my measurement. I might say that .999... approaches 10 as it's precision approaches infinity.
Or you could study a little bit of calculus and realise that 0.999... is exactly 1. And no, 0.999... is nowhere close to 10, unless you are an astronomer or something, and round to orders of magnitude.
This looks like an optical illusion, because the lines don't really appear to be of equal length!! Fascinating stuff!! Even though the professor maintains that they are all of equal length, or so I thought 💭 I heard him say!! Hmmm!!! Food for thought 💭
the reuleaux triangle reminds me of a tool arctic peoples use to skin animals. there are many synergetic surprises in how geometry gets into ergonomic designs. there are many ways to skin a cat in math, too.
7:54 is the perfect analogy to think the paradox rationally: You can divide any shape by adding a number of lines, but it will still have the same area.
