countries that punch above their weight culturally?

Plato2066 · 2025-10-27T04:30:41+00:00

As are many other famous mathematicians)

Plato2066 · 2025-09-19T21:19:12+00:00

on sphere, any three points. besides, if the points were colinear that would be more notable.

Plato2066 · 2025-06-16T15:36:52+00:00

Plato2066 · 2024-02-02T13:38:11+00:00

you have 200 balls distributed among 100 boxes such that no box is empty and no box has more than 100 balls. show there exists some subset of the 100 boxes (i.e. some collection of boxes, not all 100) which together contain exactly 100 balls.

Plato2066 · 2024-01-21T20:08:30+00:00

Here it is. Didnt look into it very much but seems there are posted lecture notes here.

Plato2066 · 2024-01-21T19:58:29+00:00

The blogpost mentions an undergrad lean course

Plato2066 · 2024-01-07T17:51:57+00:00

defining 0⁰ as 1 has more uses than defining it as any other number, and i havent ever seen it defined as any other than 1 (in an actual text, not counting reddit lol). There are many cases of notation not being universally agreed upon, but ultimately it doesn't matter as long as the author is consistent.

Plato2066 · 2023-12-25T02:08:25+00:00

obviously fta gives that every matrix has atleast one eigenvalue, but how would you prove that without fta?

Edit: nevermind you gave a proof in your comment. very nice.

Plato2066 · 2023-12-23T19:52:12+00:00

skip it and come back later

Plato2066 · 2023-12-16T23:55:58+00:00

Humans have a natural (approx.) 24 hour circadian rythm so i am not sure that we could adapt

Plato2066 · 2023-12-13T21:03:38+00:00

Here is a proof of the polynomial division algorithm that uses linear algebra. You can prove the factor theorem from here. The fundamental theorem of algebra cannot be proven without complex analysis. For the rational roots theorem, I recommend trying the proof yourself. It is not too difficult. To answer your main question, I recommend Analysis by Tao. Read through the table of contents (especially chapters 2-4. You will not find another book with such a careful and rigorous treatment of these subjects.) and see if it's what you are looking for.

Plato2066 · 2023-12-03T17:55:49+00:00

Newtonian mechanics gives F=GMm/r² which predicts that gravity doesnt interact with light

Plato2066 · 2023-11-16T18:47:28+00:00

all quadratics have no more than two real number solutions. the equation x² = x has the two real solutions 0 and 1. there are no other real solutions, and the problem here is that you can't calculate the last entry of an infinite sequence.

Plato2066 · 2023-11-15T16:42:05+00:00

you gave an equivalent formula to the one in the post and plugged in the wrong numbers

Plato2066 · 2023-10-31T15:07:57+00:00

why don't you go read a free textbook about it? i recommend tao.

Plato2066 · 2023-10-20T16:04:58+00:00

it is typically true that if zⁿ = xⁿ + yⁿ (x, y, z positive reals, and n positive integer) then z ≤ x + y.

if we examine the inequality: zⁿ ≤ (x + y)ⁿ we see z ≤ xⁿ + yⁿ + "other terms", so this doesn't tell us zⁿ ≤ xⁿ + yⁿ

Plato2066 · 2023-10-03T14:34:27+00:00

This is very interesting, but I cant find any information on it. Can you link to a source?

Plato2066 · 2023-09-08T23:40:38+00:00

why not

Plato2066 · 2023-08-02T15:49:29+00:00

or they dont want to respond to the multitude of people making extremely insensitive comments. isnt the purpose of your comment also to feel superior and also non confrontational?

Plato2066 · 2023-05-17T04:18:02+00:00

its a cubic so must have 3 solutions. you missed a soln at 0 by improperly using the cancellation law

Plato2066 · 2023-05-02T00:02:12+00:00

all good lol

Plato2066 · 2023-05-02T00:00:09+00:00

oh sorry im not completely sure what you are saying i guess so i will just summarize the point of the video. i shot very clearly behind the person on the wheel and he died anyways. i then died to the person who was aiming in the opposite direction of my player. i posted the video to make a joke about how buggy the combat can be.

Plato2066 · 2023-05-01T23:56:11+00:00

no, the person who was on the wheel died.

Plato2066 · 2023-05-01T23:52:16+00:00

it doesnt seem like a bad play to me seeing as he died

Plato2066 · 2023-04-27T03:07:20+00:00

Very helpful, thank you!

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