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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 Re: Maths Is Fun - Suggestions and Comments » More Topics Need » 2016-12-04 18:45:13

bobbym wrote:

I do lots of analytical geometry, I prefer it to Eucidean. Why not post your questions, that is how you get help on a forum.

What is analytical geometry, again?

#3 Re: Computer Math » Triple Summation » 2016-12-02 16:05:14

But how did you go about doing it?

#4 Re: Computer Math » Triple Summation » 2016-12-01 16:28:10

Yes, I have a closed form answer

#5 Re: Euler Avenue » The metaproblem problem » 2016-11-27 02:45:18

You recently asked me where the hard problems on Brilliant are. I sent you some links. What do you think?

#6 Re: Computer Math » Triple Summation » 2016-11-20 18:21:26

Yep, that lower bound is correct.

How about 8 digits?

#7 Re: Computer Math » Triple Summation » 2016-11-20 05:08:53

That upper bound is correct. How do I do better?

#8 Re: Computer Math » Triple Summation » 2016-11-19 17:42:38

How would an experimental mathematician do it?

#9 Computer Math » Triple Summation » 2016-11-19 04:11:11

Agnishom
Replies: 20

How do I approximate the following Triple Sum?

#10 Re: Help Me ! » Help Password(Access to email lost) » 2016-10-28 02:51:30

zetafunc wrote:

I spent about 4 years posting as a guest on this forum, before everything updated and forced me to register in order to reply to threads (as it stands, guests are able to create threads, but are not able to reply to them, for whatever reason).

How does it make you feel that you're a member now?

#11 Re: Help Me ! » Irrational Philosophical conundrum in Pythagorean Triangles » 2016-10-28 02:50:03

Linelites wrote:

In trying to fully grok the concept of irrational vs. rational, I try to visualize the difference between them represented by two Pythagorean Triangles.  One triangle, like the 3,4,5, will have commensurate, rational values between the legs and hypotenuse.  Change the aspect slightly, so as to make it 3,1, and the sqrt of 10, and the legs and hypotenuse are now incommensurate and irrationality introduced.  My question is: by what mechanism does this occur?  Why should a slight shift in aspect of the legs take us from one realm of numbers to another? 
I am a hobbyist, this is my first post.  Perhaps the answer is obvious, but it eludes me and I hope someone can help me.  Perhaps it is purely a numerical property that is detached from the physical representations of geometry and therefore lacks any mechanism.

This should not be posted in Help Me!

Because you're being philosophic here, I'd want to point out to you that the rational numbers are dense in the reals. Or put in a more fancy way, there is a rational between any two irrationals and an irrational between any rationals. So, there is not much work to be done to switch over from rationals to irrationals.

#13 Re: Guestbook » Why are people obstinate? » 2016-10-24 05:18:23

You look a little thin, have you been eating?

What are you talking about?

#14 Help Me ! » Bashy Triangles » 2016-10-24 05:05:06

Agnishom
Replies: 2

My friend Sneha has this problem

8Pg1LAL.jpg

#15 Re: Exercises » Limit Points of a Set » 2016-10-24 05:03:00

Okay, here is a proof.

Construct a sequence with elements in S such that all terms are different. This should be possible because S is infinite. Now, because this sequence is bounded, it must have a convergent subsequence which is non-constant.

Hence, it follows that S' is non-empty.

#16 Re: Exercises » Supremum Property of Real Number » 2016-10-23 01:29:00

Have you seen the proof of the fact that there is a rational number between any two reals?

#17 Re: Exercises » Limit Points of a Set » 2016-10-22 18:46:48

By S', do you mean the set of all limit points of S?

#18 Re: Guestbook » Why are people obstinate? » 2016-10-22 18:31:39

You are right. I should tell him about online compilers.

No, I didn't miss the rants. Is that even possible?

That code is fine. But the point of my code was to demonstrate an overflow

#19 Guestbook » Why are people obstinate? » 2016-10-20 18:33:36

Agnishom
Replies: 7

I once claimed in some forum that the following code in C is an infinite loop:

#include <stdio.h>

int main(void) {
    char i;
    for (i=0; i <256; i++)
        printf("%d\n", i);
    return 0;
}
Somebody wrote:

How is this program an infinite loop? Unless char I doesn't increment because it's a character and not an integer.

I wrote:

Before I go ahead and answer that question, I personally encourage you to actually put this in a compiler and run the code for yourself and check that it indeed is an infinite loop.

Somebody wrote:

I don't have a compiler, but I know enough about coding to know that for loops shouldn't be infinite loops. So if it doesn't output integers, then it must be an error of sort.

What?! How can someone not have a compiler but *know enough about coding*?

#20 Re: Euler Avenue » My theory of the Universe » 2016-10-20 01:55:48

But why is the manifold expanding?

#23 Re: Euler Avenue » The metaproblem problem » 2016-10-09 03:29:06

Why did you do that? I do not think you ran out of delta waves.

#24 Re: Euler Avenue » The metaproblem problem » 2016-10-09 03:00:24

Which problems did you stop posting?

#25 Re: Exercises » Measure Theory » 2016-10-08 04:11:36

zetafunc wrote:

NOTE: These exercises refer to the material posted in this thread.

#1

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