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4h
comment Does the Law of Sines and the Law of Cosines apply to all triangles?
@Sourisse : yes you are absolutely right, so I'll mention it :) That it holds Only for triangles in Euclidean geometry. They are not always true for triangles on the surface of sphere for example.
Jul
16
comment Ternary equivalence relations that are not equivalent to some binary equivalance
Thank you @AndréNicolas, yes, either and both. at this stage I take either. Is there a theorem that expresses whether any n-ary relation can be decomposed into n-1 ary relations? or how ? Then I will chase that one instead of this question
Jul
3
comment Why are some branches of mathematics called 'theory' and others not?
Why the down vote? It is a good question. +1
Jun
5
comment what is the parametric form for “mystery curve”?
@A.P. : Thank you, I am going to need some time to comprehend what you are saying.
Jun
5
comment what is the parametric form for “mystery curve”?
@A.P. : I seriously cant see how this is same as parametric form without opening it up using Euler's identity. This formula doesn't explain the periodicity of the curve. If indeed it has a periodicity at all.
Jun
5
comment what is the parametric form for “mystery curve”?
@A.P. : sorry I am a bit rusty, did polar form come in form of $r=f(\theta$)? If yes then I think it is a bit messier than this (imho)
May
26
comment Example of a convergent series for which integral test fails?
@K.Dutta : so in theory at least the integral test is the ultimate test.
May
26
comment Example of a convergent series for which integral test fails?
@John : so why use the other tests when integral test is enough?
Apr
27
comment Average distance between 2 points on surface of sphere?
@achillehui : just a curiosity , is there a generalisation that generalises geodesic distance to n dimensions?
Apr
27
comment Average distance between 2 points on surface of sphere?
@CameronWilliams : How can I generalise that to spheres of n dimesion? That is the motivation for asking this question.
Apr
19
comment How to generate complicated looking identities such as $\sqrt [3] {2 + \sqrt 5} - \sqrt [3] {2 - \sqrt 5}=1$ easily?
@PrasunBiswas : that specific result or a more general form that makes that as a specific value?
Apr
19
comment How to generate complicated looking identities such as $\sqrt [3] {2 + \sqrt 5} - \sqrt [3] {2 - \sqrt 5}=1$ easily?
@PrasunBiswas : yes I agree nothing can be that general, is there even a taxonomy of identies or the their generating families exist?
Apr
19
comment How to generate complicated looking identities such as $\sqrt [3] {2 + \sqrt 5} - \sqrt [3] {2 - \sqrt 5}=1$ easily?
@PrasunBiswas : holy hell, what generates identities like that?
Apr
18
comment Does every integer occur finitely many times and in what positions in Pascal's triangle?
@Archaick thank you
Apr
11
comment Deriving the value of $\pi$ from a dart board
Lookup bufons needle; no it is not
Mar
29
comment Is my $1+1+1+1+1…=-\frac{1}{2}$ proof correct?
Why down vote for asking a question and showing the work behind it, even if it is wrong it is a question with effort put into it +1 from me
Mar
17
comment Integral $\int \frac{x^2}{\sqrt[] {3-x^3} } \operatorname d \! x$
Changed your first image to a Mathjax, look up the FAQ for the site on how to do latex or google Mathjax.
Mar
17
comment Whether it is the pigeonhole principle?
It would be good that you include your own thoughts on this problem.
Mar
2
comment Prove $1+2\sqrt3$ is not a rational number
25 years ago one used to say rationals are closed under addition and multiplication, is this new terminology now?
Mar
2
comment Prove $1+2\sqrt3$ is not a rational number
I didn't down vote. What does " addition and multiplication is stable" means?