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#6 Re: Euler Avenue » Applications of mathematics » Yesterday 23:43:14

Read the last two lines of his rant

#7 Re: Euler Avenue » Applications of mathematics » Yesterday 19:34:32

He cAnnot because he does not want to.

#8 Re: Euler Avenue » Applications of mathematics » Yesterday 12:36:36

No offence, your idea of applications, especially that of measurements is ridiculous.

Mathematics can be applied to reality but we do not care.

Bangladesh Mathematics Olympiad Champion wrote:

Mathematics is no more useless than music, painting, rock-climbing or writing a good book. Are these things useless? Of course not!
You may have noticed this. There is a double standard going on against mathematics. You have never seen questions like “What are the real life applications of music?” or “What are the real life applications of reading good books?” But questions like “Why would anyone learn math? What are the real world applications of it?” are readily available everywhere. Why the double standards?
I view mathematics as an art form. It is not useless. I also do not believe that mathematics is important only because of its “practical applications”. Mathematics is not useful just because Gauss used it locate asteroids, or people now use it to encrypt stuff. The original appeal of mathematics does not lie there. Mathematics is useful in its own right and merit. Like I said, it’s an art form. And I shouldn't have to justify why I do mathematics.

#11 Help Me ! » Integration problem » 2015-04-18 15:37:41

Agnishom
Replies: 4

Integrate

from 0 to l where

#12 Re: Help Me ! » My question is concerned with set theory. » 2015-04-11 22:17:44

Why is it important to define natural numbers?

#13 Re: Help Me ! » conics » 2015-04-11 01:28:00

Conic Sections is probably the hardest chapter in +2 level. I'll probably be able to master integration techniques with enough hardwork.

#16 Re: Help Me ! » conics » 2015-04-10 21:52:22

Probably not. There can be harder conic problems

#18 Re: Dark Discussions at Cafe Infinity » Religion with science » 2015-04-10 17:08:41

GCD?

Posts cannot contain only capital letters?

#19 Re: Dark Discussions at Cafe Infinity » Religion with science » 2015-04-10 16:37:59

How does one solve the diophantine equation ax+by=c?

#20 Re: Dark Discussions at Cafe Infinity » Religion with science » 2015-04-10 14:45:17

If you know how to rephrase the question, tell me. I will change it.


gif.latex?%5Cimplies%20%285%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20+%207%5E%7B%5Cfrac%7B1%7D%7B8%7D%7D%29%5E%7B1024%7D%20%3D%20%5Csum_%7Bi%3D0%7D%5E%7B1024%7D%20%7B1024%20%5Cchoose%20i%7D%20%5Cleft%28%20%7B5%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5E%7Bi%7D%20%5Cright%29%20%5Cleft%28%20%7B%7D7%5E%7B%5Cfrac%7B1%7D%7B8%7D%7D%5E%7B1024-i%7D%20%5Cright%29

By each term, we mean each instance of gif.latex?%7B1024%20%5Cchoose%20i%7D%20%5Cleft%28%205%5E%7B%5Cfrac%7B1%7D%7B2%7Di%7D%20%5Cright%29%20%5Cleft%28%20%7B7%5E%7B%5Cfrac%7B1%7D%7B8%7D%281024-i%29%7D%20%5Cright%29%7D

For such a term to be an integer,
and
should both be integers.

Hence,
should be
for some
and
should be
for some
.

So, you want all non-negative ordered solutions of 2x+8y=1024

#23 Re: Dark Discussions at Cafe Infinity » Religion with science » 2015-04-10 12:57:02

Have you never done binomial espansions by hand?

#24 Re: Help Me ! » Streak! » 2015-04-10 10:04:11

I made the question. See Amrita's signature.

I have found a more serious paper, I think

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