/sci/ - Science & Math

>>14520851
So basically 80%+ of the first world will die, leaving behind all of the Africans and other 3rd world people with limited access to the vaccines to rule the earth.

Was this really the master plan?

>>11835497
The "moral explanation" for every polynomial's complex roots coming in conjugates is because "we can't tell the difference between [math]i[/math] and [math]-i[/math]". And this isn't restricted to roots of polynomials; very often it doesn't really matter whether we define a complex quantity with [math]i[/math] or [math]-i[/math], it just comes down to arbitrary convention and has no consequence.

How come, then, we can distinguish between [math]+1[/math] and [math]-1[/math]? Or am I mistaken, and distinguishing between left and right on the complex plane is just as ambiguous as distinguishing up from down?

>another rejection letter
How do I cope with the fact that the signature of my academic life has been a 77% rejection rate? (Yes I calculated it, everything since college admissions.) I can't go on like this.

How do you cope, /sci/? Do you even cope, or are you like my brainful friends who have never seen a rejection letter in their lives? (If so, fuck them and fuck you too.)

It just means there's holes in your mathematical knowledge base. I used to think the olympiad was for geniuses only.

Protip: it's not. The solutions to all of the olympiad problems I have attempted used mathematical ideas that can be easily learned in school (e.g. obscure algebraic identities).

You just have to study more, and also be creative. Creativity in mathematics is criminally underrated imo. Good luck anon, and don't listen to any of the >cope idiots on this board.

Hopefully in your adventure you will find mathematics to be so enjoyable that the IQ meme doesn't bother you anymore.

Anyone else think that most of mathematics beyond an undergraduate level is just a result of intellectual circlejerking?

why can't geometry be visualized in greater than three dimensions?

>>10173966
>humor thread
>no humor
Fucking /sci/

2/?

Consider the table:
1 = 1
2+ 3 + 4 = 1+8
5 + 6 + 7 + 8 + 9 = 8 + 27
10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Guess the general law suggested by these examples, express it in mathematical notation, and prove it.

Consider the table 1 = 1
2+ 3 + 4 = 1+8
5 + 6 + 7 + 8 + 9 = 8 + 27
10 + 11 + 12 + 13 + 14 + 15 + 16 = 27 + 64
Guess the general law suggested by these examples, express it mathematical notation, and prove it.