This is one of the best KZbin videos I've ever watched. Keep 'em coming :)
@sobermathАй бұрын
Oh wow, what an endorsement! Thank you for saying so. I will certainly continue publishing videos as time allows.
@skyeandtiger2 ай бұрын
WOW, very detailed and thorough explanations- love the diagrams . Great job !
@sobermathАй бұрын
Thank you! It's been a long time and lot of work. I'm happy with how it turned out. And I'm grateful for you.
@dougr86462 ай бұрын
No bro, a reaction and a reaction cannot equal an action! Show me in nature where that happens!
@sobermath2 ай бұрын
I think you misunderstood this video. Thank you for watching, nonetheless.
@Kuba-jb1nw3 ай бұрын
Omg I have been looking for this for a very long time, I had figured out that the string art when it went from (0,1) to (1,0) with an infinite amount of sting connections in between of them, the area under it would approach to 1/6 but I didn't know what the equation of the curve was. I made this whole crazy integral for it it was insane. I stumble into this and now i have fully answered my question. Thank you so much for this video.
@sobermath3 ай бұрын
Thank you! I'm gratified that I could answer a longstanding question. If you like, I have related videos under the playlist on envelope curves and want to create more in the future. Feel free to comment.
@skyeandtiger3 ай бұрын
Nice vid -great job with this concept!!!
@sobermath3 ай бұрын
Thank you, Skye! And thank you again for your role in it!
@christophergame79773 ай бұрын
The roxy stuff at the beginning nearly stopped me from watching further. But I struggled on because I thought I remembered something like this that seemed wrong.
@sobermath3 ай бұрын
Maybe a bit too much gain on that audio.
@christophergame79773 ай бұрын
@@sobermathi am too old and rusty to follow through on the following. I am inclined to think that it was a strategic error to use brute force through the formulas with square roots and the quantity s. I would guess that some patience fiddling with diagrams and looking at similar right triangles would have given you a neater solution.
@sobermath3 ай бұрын
@@christophergame7977 Thank your for your helpful feedback. The big square roots formula was an outcome of using the crossing method. My intention was to demonstrate that it is not a ladderlike curve like the previous videos and the big sqrt solution was equivalent to the quarter circle, which in hindsight was much simpler. I often find it meaningful to show the process of problem solving, including blind alleys.
@christophergame79773 ай бұрын
@@sobermath Glad you found my comment helpful. I will interested to see how you go.
@RJHarvey2723 ай бұрын
With my math training (heavy on analysis, low on geometry), the only way I'd know how to approach this problem is calculus. It is SO COOL to see (algebraic) geometry doing the same thing completely differently! And I'd love to see you go through the calculus. 😀
@sobermath3 ай бұрын
Thank you, i will see what I can put together, if there is more interest, otherwise i can publish on a second B-Channel.
@agustinmiranda39894 ай бұрын
This is great, hard time understanding this approach as it's first time I see something like this. Loved the challenge Thank you! :)
@sobermath4 ай бұрын
It will be my pleasure to provide challenging and stimulating content.
@alfredcognoet4 ай бұрын
Commenting for the algorithm Your channel deserves more views, hope more videos blow up, love them
@sobermath4 ай бұрын
Thank you for watching and the support!
@samueldeandrade85354 ай бұрын
Oh wow ... This ... This is a great problem! Hahaha.
@sobermath4 ай бұрын
I tried to complete it over a few weeks during lunch breaks at my workplace. I didn't know how much the power sums would blow up.
@samueldeandrade85354 ай бұрын
@@sobermath I know some math content channels. I never saw this problem. Amazing job. It is a great problem to show at the start of a Combinatorics course.
@ThunderStormFortnite4 ай бұрын
University? I learned this in grade 11
@matthewkendrick82804 ай бұрын
Yippee!
@Jee25-3 ай бұрын
Tell me you are a jee aspirant without telling me you are a jee aspirant:
@natox75554 ай бұрын
Incredible !
@randomsearches3694 ай бұрын
OMG!, You are Awesome!!!!!!!
@SobTim-eu3xu4 ай бұрын
Damn, its crazy, as a algebra type mathematician I amazed by this video!) How you get <100 subs... But I can "flex", that I been there before 100 subs)❤
@sobermath4 ай бұрын
Thank you for watching! I can't explain the fewer than 100 subscriber count previously, except that this is the first video: that I premiered, spoke on camera and ended on "to be continued." Feel free to comment on my other videos!
@SobTim-eu3xu4 ай бұрын
@@sobermath of course!)
@redfinance34034 ай бұрын
Cooooool!!!
@iispacedustii4 ай бұрын
Thank you for the video!
@sobermath4 ай бұрын
Glad it was helpful!
@dinisfpaulino52474 ай бұрын
its crazy how you only have 47 subs i thought it was a way more popular channel
@sobermath4 ай бұрын
Thank you for the complement! This channel is only a year old and I've put all my effort into video content rather than marketing.
@kwiky56434 ай бұрын
@@sobermathgigachad !
@samueldeandrade85354 ай бұрын
Good channels, in some sense, doesn't have subs.
@liambrazier48464 ай бұрын
cant you do this though a lerp or a spline? surely their are simpler way was to determine a line moving thorough 2d space
@sobermath4 ай бұрын
Yes, there are more elegant methods. The way I was made aware of with calculus was solving parametrically and with a ladder of unit length. Much simpler!
@dioszegizoltan44934 ай бұрын
nice, maybe you could try the catenary next? although that would be hard without calculus
@sobermath4 ай бұрын
Thank you. Good idea! I'm actually working on such a video, for release in a few months. Stay tuned!
@PewDiePie7774 ай бұрын
I love your content❤
@sobermath4 ай бұрын
i feel honored! Thank you for watching.
@namangoyal12978 ай бұрын
I love your demonstration and the way you explain the differentation process. Made me stick till the end and I wasn't disappointed :D
@sobermath7 ай бұрын
Thank you for watching! I'm glad you liked it.
@namangoyal12977 ай бұрын
@@sobermath Can you a video on product integral, (Π f(x)^dx)?
@sobermath5 ай бұрын
@@namangoyal1297 I could try, although I'm not familiar with this function. It might make a fascinating video. Thank you for suggesting it!
@martafeeney10 ай бұрын
🌟 "Promosm"
@codework-vb6er11 ай бұрын
This is a Great video!
@sobermath11 ай бұрын
Thank you! That made the revamp worth the effort
@chlafen420411 ай бұрын
Nice video, calm informative and fun!
@sobermath11 ай бұрын
Thank you! That is about the tone I was aiming for.
@bobber0001 Жыл бұрын
Wow this is actually a pretty high quality video
@sobermath Жыл бұрын
Thank you for saying so! I try.
@Taco_cat1239 Жыл бұрын
The only thing a math major can do with their degree
@katakana134 Жыл бұрын
You cant do this even
@sobermath Жыл бұрын
I graduated in Physics, so I might be inclined to grant that proposition, but I have to believe your skills as a problem solver would be broadly applicable.
@nathangrabias8045 Жыл бұрын
Amazing channel and very underrated!
@sobermath Жыл бұрын
Thank you for watching! I'd welcome any other comments on how to improve my channel.
@Mathologer Жыл бұрын
Well, you definitely had fun there :)
@sobermath Жыл бұрын
Mathologer, sir! Hello and many thanks for taking the time. It was alot of fun to pay homage. I hope to do many more videos in the future, maybe with my video capture on an infinite white wall, if I scrounge for studio equipment :)
@omkarshetye2319 Жыл бұрын
Great Video! The general formula you give is also the number of independent components of the Riemann tensor in n dimensions. Might be interesting to see how these combinatorial problems map to each other.
@sobermath Жыл бұрын
Thank you! Interesting, I didn't know that. It has been awhile since I've looked at the symmetries in GR. I remember, it helped doing some on-the-side enumeration in graduate physics courses to help contextualize the material.