Ha, I wasn't expecting the Buffy reference. I just started watching for the first time and it's so much better than I would have expected! Give it a watch.
This is a great channel, even though sometimes it gets a bit ridiculous. :D (Reminds me of a friend I had years ago who would always stop at a certain Indian takeaway with a reputation for curries that Indians would think of as being quite nice and spicy, and which regularly killed non-Indian customers who weren't careful enough. He would go in, and head straight for the pickled chilli jar on the counter. The chillis were "properly hot" for everyone - and coma-inducing for some. It was a silly ritual, but my friend was a student at the time, so that was exactly right for him. He would ask for "the hottest one, this time", as if disappointed in the chilli from last time. Then he would eat that chilli as slowly as possible, and put on a show of outward calm, talking about whatever as he did. At the end of the chilli, he would make himself look disappointed, say good bye, walk calmly out the door, and then run like hell and do all sorts of contortions. It must have hurt like crazy, because he wouldn't be able to talk for a long time, and he looked really ill every time, after this.) Merry Christmas.
youre definitely right in thinking young internet people would love your content. your videos have been so amazing for me, as someone who loves mathematics with all her heart but had to leave uni to work full time ive been able to keep learning this wonderful subject! thank you so much for what you do :)
Longtime fan, and yet i get more impressed by the week with your work as an educator. I'm so glad you did a VOA problem, and I really hope you do more VOA content soon! This was a great video (surprised you didn't plug the podcast w the vegan question haha) and a wonderful christmas present for us all. AND JUSTIN IS INCLUDED IN THAT COMPLIMENT! It's obvious both of y'all put a ton of hard work into the channel, and it pays off. Happy holidays, and I look forward to seeing how you democratize higher math education!
IIRC, the original Scoville measurement was based on how much you had to dilute the food until the spice was undetectable, so 100 Scovilles meant you couldn’t taste the spice in a 1:100 dilution. These days it’s just measured based on the concentration of capsaicin or equivalent.
Also, pro-tip on some of these really hot sauces, and peppers, that delay in the hit is real not imagined. Also, there is very little you can do that actually abates the heat, however for even the hottest peppers it only takes about 15 minutes for the heat to wear off.
Thank you for this! Edit: The inbetween math works really well Edit2: That last problem was really strong from Michael considering the Last Dab's notoriety
Went to grad school because I didn't want a real job yet." That sounds so familiar. I had a prof once tell me that nobody *plans* to get a doctorate in musicology. You just keep putting off real life a bit at a time, and before you know it, you have a doctorate.
At about 11:46 - "…form a closed set" (4n+1)(4m+1) = 16nm + 4n + 4m + 1 = 4(4nm + n + m) + 1 = 4N + 1 Hence all the numbers of type 4N + 1 form a closed set under multiplication. Hope this helps someone else other than me.
Yeah he definitely assumed a bit of working knowledge of number theory/abstract algebra while explaining that problem. Another way to think about that statement is multiplication is preserved in modular arithmetic. In other words, if you multiply two numbers A and B and take the (mod n) of the product, it is equivalent to taking A (mod n) and multiplying with B (mod n). So if you have a bunch of numbers that are 1 (mod n), their product will remain 1 (mod n) since 1x1x1… is always just 1.
This reminds me of a time when I tried Thai with medium heat. After a while, I noticed that I couldn't lift my fork to my mouth anymore - it just burned and I ended up giving it to my friend (who was sweating, but said he enjoyed the heat). For me, it wasn't even heat anymore, just pain. A side note - the same nerves carry both temperature and pain information - Capsaicin binds to receptors on those nerves, activating them - milk helps because calcium also binds to the receptor and competitively inhibits capsaicin binding. I suspect that the actual response curve is sigmoid with respect to concentration, and with a hard roof (since there are only a finite number of receptors to be affected). That response is also probably highly individual - so your response curve would be different from mine - if there are mutations in the receptor proteins that affect binding sensitivity and strength (how quickly the molecule is released), etc. then we could se radically different responses. But - I feel your pain!
My father worked at Finnieston (where the big crane still stands) when I just started primary school wae back in 60's. First day at school he gave me his engineers slide rule and the class teacher says to me whats that you got there Tom? I said its a calculator for doing logs, then proceeded to show him how to do multiplication with logarithms. My teacher says, well sorry Tom you are going to find the first ten years at school very boring!
Merry Christmas Michael ! Have been devouring all your channels and i like what you're doing. Thank you for all and in particular for this hot challange ! You seem a real good person i wish you and your familly all the goods ^^ (Sorry for my approximate english im from France)
So Michael Penn is a vegan? I would totally watch a vegan cooking show with Michael Penn. I'm an omni but I really want to up my vegetarian/vegan cooking skills. :)
SKUs are a linear unit in terms of the concentration of capascain. Almost any human sense is more sensibly measured on a log scale, in terms of relating it to the subjective effect.
Followup requests: How to follow up? Well - here are a couple of ideas ... 1 - a brief summary of life as a postgrad-PhD student (venue - location - amenities - lifestyle - hardwork? doable work?) 2 - Michael's first involvement in math research - how did it feel, what were the team dynamics, what was the topic, what did the research contribute to pooled knowledge 3 - maybe one or two shows with one on the "best" personal choice from Michael's perspective regarding any personal criteria A second on the research topic Michael feels made a contribution to pooled knowledge (a bit like 'personal best of... ' and 'professional best of... ' And, of course a concise journey through the math involved in those research items ..
You had very good performance in that painful situation. I have grown and eaten very hot chilies and can almost felt the increasing pain. It is very fancy when capsaisin hits your inner ear (it does not happen to all). I can just walk back and forth and curse under that effect.
Challenge: use properties of farey fractions i.e. that you always obtain the mediant from their addition. Show what the formula for the sum of the first n integers is. Clue: 1/1 f. 1/2 f. 1/3 f. 1/4 f. 1/5 = 1/1 f. 1/5
Here’s a really stupid but potentially hilarious challenge idea. “DIZZY MATH”: Michael spins around on a bat 20 times and then tries to do math on the chalkboard Probably it should be some problem needing a lot of careful writing/drawing, like graphs, matrices, long division of polynomials, etc.-the messier it gets, the better!
Hello everyone, can someone help me with my assignment? Its really easy but i can't really find a direct way to go about it, it goes like this : What is the angle that the velocity vector of the given piecewise function makes with the z axis at any given input (t) F(t)={x(t)=cos(wt);y(t)=sin(wt);z(t)=at} for constants a,w.
Now do hot ones + math + rock climbing, where you anchor some blackboards to the climbing wall, and you have to eat a spicy chicken wing before you climb and do problem. The good thing is you will never run out of chalk.
Finally got to see you use an eraser! 😂 great content, as always! Love that you’re vegan! If I ever go back to get a phd in math you are a huge inspiration.
Awesome! If, at times, uncomfortably like watching the Romans throw people to the lions. Imposter syndrome in front of liberal arts professors off-the-cuffing: don't forget that words are their tools. They have a mass of them in their heads to call on. Your tools are maths ideas and your mental toolbox is full of them instead. People just don't tend to talk maths at cocktail parties. Anyway: Season's Greetings! (if you'll excuse the pun).
Michael: *eats a really hot sauce*
Also Michael: And that's a good place to stop
…eating sauce after 10 mins:-)
Chad vegan rock climber number theorist math teacher
This!
You forgot UA-camr
More algebraist but definitely chad
Unfathomably based
Haha "Well I just walked downstairs" lol, great video guys! I love the interviewer really well spoken, both of you are!
Glad you enjoyed it!
Ha, I wasn't expecting the Buffy reference. I just started watching for the first time and it's so much better than I would have expected! Give it a watch.
This is actually a really good idea, you guys should get some other mathematicians on this show.
oh i'd love to see tomrocksmaths try it
Merry Christmas Michael
This is a great channel, even though sometimes it gets a bit ridiculous. :D
(Reminds me of a friend I had years ago who would always stop at a certain Indian takeaway with a reputation for curries that Indians would think of as being quite nice and spicy, and which regularly killed non-Indian customers who weren't careful enough. He would go in, and head straight for the pickled chilli jar on the counter. The chillis were "properly hot" for everyone - and coma-inducing for some. It was a silly ritual, but my friend was a student at the time, so that was exactly right for him. He would ask for "the hottest one, this time", as if disappointed in the chilli from last time. Then he would eat that chilli as slowly as possible, and put on a show of outward calm, talking about whatever as he did. At the end of the chilli, he would make himself look disappointed, say good bye, walk calmly out the door, and then run like hell and do all sorts of contortions. It must have hurt like crazy, because he wouldn't be able to talk for a long time, and he looked really ill every time, after this.)
Merry Christmas.
Super spicy food is no issue if you remember that 7 is the only prime number followed by a perfect cube. Thanks Michael!
Hm, letting p = unknown prime>7, p= n^3-1= (n-1)(n^2+n+1) which cannot be prime if n>2.
Merry Christmas, Michael! Your dedication is noted. I've heard doing math can be painful, but I'd never imagined it could be *that* painful...
Great stuff this year MP + team, you kept this old physicist's brain ticking throughout 2022. Love the channels. Merry Xmas from Yorkshire x
youre definitely right in thinking young internet people would love your content.
your videos have been so amazing for me, as someone who loves mathematics with all her heart but had to leave uni to work full time ive been able to keep learning this wonderful subject!
thank you so much for what you do :)
I'm so glad!
Fantastic! Thank you all and best wishes for the new year!
Thank you too!
Longtime fan, and yet i get more impressed by the week with your work as an educator. I'm so glad you did a VOA problem, and I really hope you do more VOA content soon! This was a great video (surprised you didn't plug the podcast w the vegan question haha) and a wonderful christmas present for us all. AND JUSTIN IS INCLUDED IN THAT COMPLIMENT! It's obvious both of y'all put a ton of hard work into the channel, and it pays off. Happy holidays, and I look forward to seeing how you democratize higher math education!
IIRC, the original Scoville measurement was based on how much you had to dilute the food until the spice was undetectable, so 100 Scovilles meant you couldn’t taste the spice in a 1:100 dilution. These days it’s just measured based on the concentration of capsaicin or equivalent.
Most human senses are on a log scale because its based off saturating a finite number of receptors
Also, pro-tip on some of these really hot sauces, and peppers, that delay in the hit is real not imagined. Also, there is very little you can do that actually abates the heat, however for even the hottest peppers it only takes about 15 minutes for the heat to wear off.
I love this!! This is the intersection of 2 of my favorite channels… I think you need to make Sean Evans from Hot Ones take a math test
amazing video michael! what a coincidence that i’m watching this while in little rock! also phoebe bridgers is so good, great take!
Merry Christmas from Brazil!!
Thank you for this!
Edit: The inbetween math works really well
Edit2: That last problem was really strong from Michael considering the Last Dab's notoriety
Went to grad school because I didn't want a real job yet." That sounds so familiar. I had a prof once tell me that nobody *plans* to get a doctorate in musicology. You just keep putting off real life a bit at a time, and before you know it, you have a doctorate.
"What brought you here?"
*heat intensifies*
Michael: "Yeah.. so... well... this is my basement. I just walked downstaaaiirrsss."
This had me rolling.
At about 11:46 - "…form a closed set"
(4n+1)(4m+1) = 16nm + 4n + 4m + 1 = 4(4nm + n + m) + 1 = 4N + 1
Hence all the numbers of type 4N + 1 form a closed set under multiplication.
Hope this helps someone else other than me.
Yeah he definitely assumed a bit of working knowledge of number theory/abstract algebra while explaining that problem. Another way to think about that statement is multiplication is preserved in modular arithmetic. In other words, if you multiply two numbers A and B and take the (mod n) of the product, it is equivalent to taking A (mod n) and multiplying with B (mod n). So if you have a bunch of numbers that are 1 (mod n), their product will remain 1 (mod n) since 1x1x1… is always just 1.
@@stephenbeck7222 thanks - like that better.
Thank you, guys for this wonderful Christmas gift keep up the good work Justin and Michael.
This reminds me of a time when I tried Thai with medium heat. After a while, I noticed that I couldn't lift my fork to my mouth anymore - it just burned and I ended up giving it to my friend (who was sweating, but said he enjoyed the heat). For me, it wasn't even heat anymore, just pain.
A side note - the same nerves carry both temperature and pain information - Capsaicin binds to receptors on those nerves, activating them - milk helps because calcium also binds to the receptor and competitively inhibits capsaicin binding.
I suspect that the actual response curve is sigmoid with respect to concentration, and with a hard roof (since there are only a finite number of receptors to be affected). That response is also probably highly individual - so your response curve would be different from mine - if there are mutations in the receptor proteins that affect binding sensitivity and strength (how quickly the molecule is released), etc. then we could se radically different responses.
But - I feel your pain!
Hilarious, thank you! Merry Christmas from Glasgow, Scotland!
My father worked at Finnieston (where the big crane still stands) when I just started primary school wae back in 60's.
First day at school he gave me his engineers slide rule and the class teacher says to me whats that you got there Tom?
I said its a calculator for doing logs, then proceeded to show him how to do multiplication with logarithms. My teacher says, well sorry Tom you are going to find the first ten years at school very boring!
Chemically, the Scoville scale is linear. Perceptually, it’s more or less logarithmic since tolerance builds logarithmically.
Merry Christmas Michael ! Have been devouring all your channels and i like what you're doing. Thank you for all and in particular for this hot challange ! You seem a real good person i wish you and your familly all the goods ^^ (Sorry for my approximate english im from France)
Thank you kindly. Your English is just fine. :)
This is such an interesting concept, please do more!
This was great fun to watch, very impressive to be able to think coherently here!
amazing video! so great to learn about the guy you see everyday solving fun math problems :D thanks for all the joy you bring to people lots of love!
I really like the idea! Math can also be mainstream and you both did it really well
Substitute x=e^u which makes it similar to ∫e^tcost dt
Nice and fun video!
36:43 Good place to stop
I freaking love your content, keep this up!
So Michael Penn is a vegan? I would totally watch a vegan cooking show with Michael Penn. I'm an omni but I really want to up my vegetarian/vegan cooking skills. :)
Michael should def do a collab with a chef!
In the one about infinitely many primes of the form 4n+3, isn't the 12 insignificant? 4 also works or any multiple of 4.
Coooooorect
Keep up Michael we really enjoy and learn from you🙏
SKUs are a linear unit in terms of the concentration of capascain. Almost any human sense is more sensibly measured on a log scale, in terms of relating it to the subjective effect.
“Well this is my basement, I just walked downstairs”
Followup requests: How to follow up? Well - here are a couple of ideas ...
1 - a brief summary of life as a postgrad-PhD student (venue - location - amenities - lifestyle - hardwork? doable work?)
2 - Michael's first involvement in math research - how did it feel, what were the team dynamics, what was the topic, what did the research contribute to pooled knowledge
3 - maybe one or two shows with one on the "best" personal choice from Michael's perspective regarding any personal criteria
A second on the research topic Michael feels made a contribution to pooled knowledge (a bit like 'personal best of... ' and 'professional best of... '
And, of course a concise journey through the math involved in those research items ..
fun video with great insight and problems! happy holidays
No video in over a week? Did hot sauce take you out Michael? Are you okay?
A video on his MathMajor channel was posted more recently. Not sure whether it was filmed before or after the hot sauce.
You had very good performance in that painful situation. I have grown and eaten very hot chilies and can almost felt the increasing pain. It is very fancy when capsaisin hits your inner ear (it does not happen to all). I can just walk back and forth and curse under that effect.
Great job, Justin!
My favourite Christmas present! Thank you Michael.
Merry Christmas! Combining two of my favorite interests (mathematics and hot sauces) is a terrific idea.
Idea for a challenge of sorts: calculate optimal force vector for getting a hole-in-one on a mini golf hole, then try it out irl!
currently doing Abstract Algebra, so I felt that at the normal subgroup question.
*Justin:* Why did you start a math UA-cam channel?
*Me:* Ha ha, that's a trick question ... Michael has started *_two_* math UA-cam channels!
I can heavily relate to Michael here, I also suffer immensely when trying to solve group theory problems, I just don't need the stimulus of hot sauce
Michael is the best teacher I've ever had, and I've never actually met him.
Challenge: use properties of farey fractions i.e. that you always obtain the mediant from their addition. Show what the formula for the sum of the first n integers is. Clue: 1/1 f. 1/2 f. 1/3 f. 1/4 f. 1/5 = 1/1 f. 1/5
Here’s a really stupid but potentially hilarious challenge idea.
“DIZZY MATH”: Michael spins around on a bat 20 times and then tries to do math on the chalkboard
Probably it should be some problem needing a lot of careful writing/drawing, like graphs, matrices, long division of polynomials, etc.-the messier it gets, the better!
Couldn't watch it any more at 24 minutes. I started sweating just watching you. I appreciate your dedication. I hope the rest went well.
Merry Christmas!!!
-I just walked downstairs
Mathematician's Answer ;-)
@20:30 Micheal definitely turning a deep red color, wishing he had never accepted the challenge!
Could you plz solve the IMO 2022 problems?
thank you
What is a Scoville heat unit?
A measurement of how hot something is.
Hello everyone, can someone help me with my assignment? Its really easy but i can't really find a direct way to go about it, it goes like this :
What is the angle that the velocity vector of the given piecewise function makes with the z axis at any given input (t)
F(t)={x(t)=cos(wt);y(t)=sin(wt);z(t)=at} for constants a,w.
Now do hot ones + math + rock climbing, where you anchor some blackboards to the climbing wall, and you have to eat a spicy chicken wing before you climb and do problem. The good thing is you will never run out of chalk.
What a lovely gift!
I wonder if Michael ever considers dressing as Flea for Halloween
28:12
Jokes on you, I don't need hot sauces to cry doing maths
Finally got to see you use an eraser! 😂 great content, as always! Love that you’re vegan! If I ever go back to get a phd in math you are a huge inspiration.
Very fun!
This was an interesting idea. Did you guys like filming it?
Oh yeah this is how to spend Christmas
Lol, my view of people in the humanities is that they are all imposters :D
Am I the only one laughing my ass off when he first starts getting hit hard?
I vote to make hot peppers a requirement for all future videos!
A 2M sauce would be like just eating a ghost pepper….
Ghost pepper ramen?
Clicked on the video cautiously optimistic that you'd be vegan. Did not disappoint! :)
El puto amo, saludos uwu
This is the last video Michael published more than 10 days ago. Where is Michael? Is he survived to the spiciest challenge? I start to be worried! XD
He’s posting frequently on his other channel: MathMajor.
I know, but why miss an opportunity for a joke? XD
@@Pythagoriko I think 2022 was a good place to stop for him
@@noahtaul 🤣
I don’t normally comment, but I’ll just say hi just cause Michael went through this.
I like a bit of spice to my food, but I'm not into so hot it's painful.
Tbh,I really look up to you and can’t wait to see your upcoming videos
Have a holly, jolly Christmas!
Happy holidays!
Was there actually πnapple in the sauce?
Ring of Fire would be a suitable soundtrack for this video.
True. Though a copyright issue would make the video go “down down down” ;). Great suggestion though!
How is this man so jacked while being vegan. Lots of tofu maybe.
Awesome! If, at times, uncomfortably like watching the Romans throw people to the lions.
Imposter syndrome in front of liberal arts professors off-the-cuffing: don't forget that words are their tools. They have a mass of them in their heads to call on. Your tools are maths ideas and your mental toolbox is full of them instead. People just don't tend to talk maths at cocktail parties.
Anyway: Season's Greetings! (if you'll excuse the pun).
Good Place to Stop?
Yes
Merry christmas from India!
I want to see RedPenBlackPen’s response.
@blackpenredpen, are you up for the challenge?
Is he drinking milk as a vegan???
Perhaps soymilk or smthng
رائع
What is the brand of these vegan nuggets?
ayyyyyyy he's vegan let's goooo
Lmao
Michael, glad to hear you're vegetarian too!
This would have been more
enjoyable without the sauces!!!
Merry Christmas!!!!!!
Hot math?
Yeeeah, im the first liker n' commentator 😁😁😁😁😁😁😁
Deltron3030 hells Yessss
Hilarious!!