Inequalities Tutorial #3 - More AM-GM ideas
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- Опубліковано 11 вер 2024
- #IMO #Algebra #Inequalities #MathOlympiad
In this video we continue with more ideas on AM-GM inequality, the ideas discussed include (Min/Max, Homogenization, important factorization formulae).
Inequalities playlist: • Inequalities Tutorial
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never stop making videos like these sir
Believe it or not, I am recording the intro to Muirhead right now 😉
Really amazing video and series, this is pure gold!
Thank you so much keep going.
im a beginner at olympiad maths and at 15:20 you expanded the product very quickly and it would really help if you explained in more detail what is the logic behind such expansions, so that one can do this on the spot. Thank you for the nice videos!
This comes from experience. However if you try to think what terms should you get and always use the idea of symmetry for example if you get a then you should get b and c, same for ab will also have bc, and ca.
If you think like that (let your mind expand not your hand, you get the grasp of it soon)
@@littlefermat I think I am getting the hang of it! Thank you for the patience and great explanations!
Inequalities videos right before my TST is a blessing for real, appreciate you a lot dude
Perhaps it is a sign you will have an inequality problem there 😉. Good luck my friend!
@@littlefermat Appreciate you dude! ♥
thank you!
sir can you also make a tutorial like this on polynomials or combinatorics after you finish this
Great lecture ❤
Given the sum of positive numbers, can we find the maximum of the sum of the squares of the numbers using AM-GM?
You can find the minimum not maximum.
Я думаю самое грамотное решение первого - с помощью производной. Оно гораздо короче и проще выглядит, позволяет найти само значение x, а также является более "общим" видом.
Yes, that's what I said, however I didn't wrote it because we are focusing on mastering AM-GM currently, but I am planning to discuss derivative/convex/jensen ideas through the course.
@@littlefermat Yes please