My left ear enjoyed this lecture

@travorliu1192

4 жыл бұрын

Thanks for this comment since I would otherwise go find a doctor to check my right ear

@nachiketakumar9645

2 жыл бұрын

Same with me

@nachiketakumar9645

2 жыл бұрын

Ivan Ivanov are you from Russia?

@ashutoshkumar7997

Жыл бұрын

😅😅😅

excellent excellent lecture sir thank you

Absolutely brilliant presentation, if only a bit heavy for me so far. I'll make sure to come back to it at a lager stage in mathematical ability.

Wow - what nice chalkboard handwriting...

I accidentally found this video and the lectures are given by Murty!! I like his two problem books in number theory.

This was an excellent lecture. I finally learnt the partial summation formula and it’s not that hard to use!

@nachiketakumar9645

2 жыл бұрын

Wow you also watch this video, nice man 👍

Nicely done. The pace was just right. Filling in the details was fun!

This is great. Thank You.

Excellent lectures!

Good lecture sir

thks

For asymptotic behaviour of sum(1/n) and sum(log n), n

@pratapdey1108

3 жыл бұрын

yes I think too

Are BIG O/ little o notation and integration interchangeable ??

Thanks for this video! There was something was not really agreeing on at 45:24. He said that integral of 1/t dt (1 to x) is log(x) but it is ln(x) right? or is there some rule i don't know about?

@MathNerdGamer

8 жыл бұрын

In most of higher-level mathematics, log(x) is usually taken to mean ln(x) rather than log10(x) unless stated otherwise. The reason log(x) being base 10 is the convention in lower-level courses is that 10 is the base of our counting system (decimal). Thus, it's easier to calculate for those learning it for the first time, and it remains the standard for awhile. Because log(x) is taken by this, these lower-level courses then introduce ln(x) for base e. The reason log(x) being base e is the usual convention in most of pure mathematics is that it's typically the only base ever used (with exceptions, i.e., base 2 being the most common in computer science).

@relaurent1

8 жыл бұрын

In mathematic, we use log(x) for the base e. So he meant to write log_e(x) so ln (x).

Plz anyone explain me that how to find that probability of random number is divisible by prime P Plz explain anyone ????

At 22:53 was said about monads?

@AlexHGong

5 жыл бұрын

it was "moments"