Hello everyone,

I've been working on my Reverse Rearrangement inequality that you may remember from half a year ago, and I'm happy to say that I have finally proved the general version.

Here is the inequality statement:

Given \(n\) similarly ordered positive real sequences \(\{a_{i,j}\}_{1\le i\le m}\) for \(1\le j\le n\), the inequality \[ \prod_{i=1}^m\sum_{j=1}^na_{\sigma_j(i),j}\ge \prod_{i=1}^m\sum_{j=1}^na_{i,j}\] is true where \(\sigma_1, \sigma_2, \ldots , \sigma_n\) are \(n\) not necessarily distinct permutations of \(\{1,2,\ldots, n\}\).

Here is the paper that contains the proof: General RR

Check it out!

~Daniel

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## Comments

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TopNewestAre you a high school genius or what?! What grades are you? Could you teach me? I'm really amazed on you @Daniel Liu

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Thanks for the praise! I'm a freshman in highschool right now. I suppose I could teach you, but you'd have to tell me what sort of thing you want to be taught.

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Congo for your achievement.

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Why isnt it the @Daniel Liu inequality?? :(

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Because Generalized Reverse Rearrangement sounds way better. You can help by spreading this thing like Nutella :D

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Hey , I'm not able to find the link to the latest Proofathon contest . Can you provide a link here ?

Thanks!

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Hello, there have been unexpected delays. Sorry, it will be soon ASAP.

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Daniel can you post something on the topic of binomial expansion..... and congrats for the result that u worked on for half of the year

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Hello,

Thanks for the kind words!

I won't be making a binomial expansion paper, but here's a good one you can look at.

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Hey, @Daniel Liu I am amazed by your work and want to get in touch so you can hopefully mentor me so that I can delve into higher mathematics head on. I am actually 13 (I messed up during registration) so I want to be as close to your level as I can be when I am your age (I know, its a long shot but a man can dream). Can you please respond to this by giving me your email so we can get in touch.

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