your vids are such fun, great vibes sir.

Love the little Mohawk

Basic stuff but interesting. Especially the use of the l'Hospital rule (not very intuitive...). Thank you Dr Peyam.

i did it slightly different- first i took ln(g(x)) as you did, but then i didn't use de"hospital rule- instead i used inequality y/(y+1)

also... GREAT VIDEO!

saw this ahter 14 secs it was loaded

@diniaadil6154

2 жыл бұрын

awesome !

@SuperYoonHo

2 жыл бұрын

@@diniaadil6154 thanks!

nice!!

There is a mean value theorem trick for this one, when I saw this problem in a forum thread a while ago. Sadly I was stumped by most of the other problems, maybe I got one of the others right? But Real Analysis 1 is one of my strongest areas. A difference of two things with a "+c" inside the parentheses once suggests MVT! A slight change, but I had to save the limits for the end and define (g(x,h))^h = (x+1)^(h+1) - x^(h+1). This is equal to f(x+1) - f(x) = f'(x*), for some x* in (x,x+1), where f(x) = x^(h+1). So g(x,h)^h = (h+1)x*^h, and g(x,h) = (1+h)^(1/h)*(x*). x*/x is in the interval (1, 1+1/x), so you can take the limits as h to 0 and x to infinity in that order with a bit of squeeze theorem thrown in.

This was a fun one!

i like this

Does the logistic map recurrence relation have a closed form?

That smile @ 5:00 😆😆😆

yessir

LMAO , that mic🎤 drop at end 🔚 😂😂😂

Sir do you teach at any University?

شكرا على معلومات 🙋‍♀️🙋‍♀️🙏🙏🙏🙏👈👈👈👈🔔🔔🔔👍👍😥😥😥😥🙏🙏🙏🙏

Hello Dr. Peyam, just to let you know, your title is wrong. It should be Question A2. Question A1 is about the grasshopper, which I actually solved over on my channel. It's also a not-to-hard question involving vectors and 3-4-5 right triangles, somewhat easy for a Putnam. Looks like 2021 was an easy year, relatively speaking. Your solution by the way is elegant and your explanation is great. As you say, a Calc 1 student can do it if he knows what to look for.

@drpeyam

Жыл бұрын

Thanks!!

We're 4D. Like quaternion math. I keep hearing theories like "simulation", "holographic" or back to Leibniz' "contingent" universe. Those theories all match the i, j, k in quaternions. Quaternion MATHEMATICS a complex number of the form w + xi + yj + zk, where w, x, y, z are real numbers and i, j, k are imaginary units that satisfy certain conditions. RARE/biblical a set of four parts, things or persons. (dimensions?)

L'Hôpitalizable... 😁😁😁😁😁😁

3 sets of 3 dimensions. 1D, 2D, 3D are spatial 4D, 5D, 6D are temporal 7D, 8D, 9D are spectral 1D, 4D, 7D line/length/continuous 2D, 5D, 8D width/breadth/emission 3D, 6D, 9D height/depth/absorption

Doctor! Please show some respect and do proper hornes)))), not some spider man ))))

@drpeyam

2 жыл бұрын

Hahaha