3:40 actually remember that this only applies to real inputs, as it is possible to solve for sin(x)=2, so sin(love) is only between -1 and 1 if Love is real. Now to prove whether Love is real...
Speaking of fave theorems....why don't you (evil Dr. Peyam) open a chapter dedicated to the most awesome math proofs ever! I have a weak spot for the Cantor's diagonal argument...
I like the idea of this squeeze theorem, an I look forward to finding greater application. Maybe with my family of the 'deeply recursive' functions like Q.
Also, I have now been thinking that this squeezing idea might help with the analysis of these deeply recursive functions (like Q). I doubt this would work for Q as I explained that one, but within the family of such functions it might be possible to squeeze some of them. So yes, this is obviously cool stuff.
As a refresher I should talk about Q again. Basically, so we all know what I'm talking about. So.. decades ago a collage professor exposed me to this idea, that there was a function than looked like this: Q(n) = Q[n - Q(n -1)] + Q[n - Q(n -2)]. And for tiny n, Q(n) = 1 so it bottoms out. This becomes the beginning of the problem 'doesn't it'
Marcus Laurel Here's the idea, although this proofs needs a tiny modification. Step 1: Let L be the limit of f (and h). This means that for all e > 0 there exists d > 0 such that if |x - a| < d then |f(x) - L| < e. But by definition of absolute value this is equivalent to saying -e < f(x) - L < e. Similarly we have -e < h(x) - L < e. Step 2: But then since f(x)
Yes know this one, good for checking continuïty of multivariable functions like xy^3/(x^2+y^4) in (0,0). Also can you please show the steps for or do a video about lim x to 0 of (1-cos^3(2x))/x^2? Didn't have enough time to get to the answer on that one today :p.(without l'hopital)
Theorem about the tight limit or clenched the limit? This is a lemma about two cops! This name is very frequently on the internet in Czech language, mainly on Mathematic and Physical Faculty. When two cops lead the prizoner, he goes in that direction as cops.👮👤👮. But I have read, somebody said in on the exam on Technic Univerzity, there was the problem.😊
Sir, will you please clear the doubt regarding point of inflection Can we say the sharp point where tangent line does not exist but concavity changes as point of inflection?
I still my calculus book using squeeze theorem to proof sin x / x tends to 1 for x approaching 1. The book don't teach me about squeeze theorem before applying it.
He's so happy and enthusiastic it makes me smile, and the math is good as well:)
Thank you for posting this! Your enthusiasm is infectious.
Thank you sir! your video has made me so happy during a tough calculus all nighter!
3:40 actually remember that this only applies to real inputs, as it is possible to solve for sin(x)=2, so sin(love) is only between -1 and 1 if Love is real. Now to prove whether Love is real...
Ryan Roberson Hahaha, but don't you believe that love is real? 😂
I believe sometimes love can be very *complex*
hahahaha Good one!
i think it's all about IMAGINATION
I never had this much fun doing any theorem before... great vid 💚
In Russia this theorem called "the theorem about two policemens"
OMG, in France too! :D
also in Italy
This is probably one of the best of these videos
Loved this explaination! Finally someone who explained it so clearly and enthusiastically!
Oreo at 2:19
Yay!
blackpenredpen Do both you and Dr. Peyam work at the same school?
Unfortunately, no.
But we knew each other back in our undergrad years,
11 years ago! lol
He was sitting right next to me in the very first math class I took at UC Berkeley!!! :D
...then the sin(love) squeezed them together :)
Dr. Peyam's Show omg how did u remember? Lol
You're enthusiasm made my day
I love how enthusiastic he is about this. I cant say my eyes arent a little green.
Great video! It was fun to watch and I got the theorem really quickly. Great job.
Love this, finally a lecture you don't fall asleep in :)
Genuinely love this guy
Im surprised this wasnt a valentines day video
I remember sandwich theorem or squeeze theorem from my grade 11 maths..with example of very interesting function lim x->0 sinx/x =1
That's one of my favorite math proofs of all time! I'll definitely do that one someday!
Speaking of fave theorems....why don't you (evil Dr. Peyam) open a chapter dedicated to the most awesome math proofs ever! I have a weak spot for the Cantor's diagonal argument...
Great idea!!! And OMG, me too! ♥️
:) Cantor invented a procedure which has been employed many times after. For instance the Goedel Theorem....which is based on the very same idea
Plus the cool thing is that the same technique arises in many different math subjects, like logic, discrete math, analysis, to name a few!
Great vid!
Sure, Another great video. Thank you.
I like the idea of this squeeze theorem, an I look forward to finding greater application. Maybe with my family of the 'deeply recursive' functions like Q.
Also, I have now been thinking that this squeezing idea might help with the analysis of these deeply recursive functions (like Q). I doubt this would work for Q as I explained that one, but within the family of such functions it might be possible to squeeze some of them. So yes, this is obviously cool stuff.
As a refresher I should talk about Q again. Basically, so we all know what I'm talking about. So.. decades ago a collage professor exposed me to this idea, that there was a function than looked like this: Q(n) = Q[n - Q(n -1)] + Q[n - Q(n -2)]. And for tiny n, Q(n) = 1 so it bottoms out. This becomes the beginning of the problem 'doesn't it'
So these deep recurse functions are basaltic non polynomial.
You make calculus feel like a party
legend thanks Dr Peyan we need more people like you!
The picture💑 is better than 👮👤👮
I'll make sure to think of this theorem when I'm squeezing... stuff
thanks man
Finally understood it thanks dude and love the energy
nice job man.. you be gyimi gymi PASS!!!!
Thank you so much!
I'm always surprised by the quality of this channel's videos since the editing seems so low effort.
We call it sandwich theorem 🥪🥪
Dr. Payam does this presentation in German, also!
I LOVE THIS thank you for ur help!
I'm interested in videos showcasing the deeper ideas you possess.
Shannon Martens This week is all about the squeeze theorem, but next week there will be a very deep result coming :)
Can you do a video on Riemann Integrals??
Great idea!!! :D
Dr. Peyam's Show yay!
Iss this JEE Advanced level ?? Cause i have some serious problem in this theorem
Dr Peyam can you do some videos on hypergeometric series?
I don't really know much about the hypergeometric series, but I'll see what I can do :)
A proof of the squeeze theorem would be pretty cool to see
Marcus Laurel It's basically an application of epsilon and delta, if you're still interested in seeing it!
Marcus Laurel Here's the idea, although this proofs needs a tiny modification.
Step 1: Let L be the limit of f (and h).
This means that for all e > 0 there exists d > 0 such that if |x - a| < d then |f(x) - L| < e. But by definition of absolute value this is equivalent to saying -e < f(x) - L < e. Similarly we have -e < h(x) - L < e.
Step 2: But then since f(x)
Dr. Peyam's Show Wow, thanks so much! I hardly expected a reply much less a whole proof! You're the best!
Yes know this one, good for checking continuïty of multivariable functions like xy^3/(x^2+y^4) in (0,0). Also can you please show the steps for or do a video about lim x to 0 of (1-cos^3(2x))/x^2? Didn't have enough time to get to the answer on that one today :p.(without l'hopital)
Sana lahat ganto ka excited pag mag sosolve ng math problems
Don't You thing, that Love is complex?
Theorem about the tight limit or clenched the limit? This is a lemma about two cops! This name is very frequently on the internet in Czech language, mainly on Mathematic and Physical Faculty. When two cops lead the prizoner, he goes in that direction as cops.👮👤👮. But I have read, somebody said in on the exam on Technic Univerzity, there was the problem.😊
Can this be used in complex plane as well? I know inequalities doesnt work on complex variables, but squeezing functions still seems possible
You can put absolute values and then use squeeze theorem, that’s the only way
that's so funny
Oh, but, love is complex!
Sir, will you please clear the doubt regarding point of inflection
Can we say the sharp point where tangent line does not exist but concavity changes as point of inflection?
I’d call it that!
I still my calculus book using squeeze theorem to proof sin x / x tends to 1 for x approaching 1. The book don't teach me about squeeze theorem before applying it.
I love you
Love is 1/X (x=O) 😁
Hi kaylb
Hi