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15h
answered What is the importance of eigenvalues/eigenvectors?
15h
comment Find this Determinant
This is an example of the Hankel matrix: en.wikipedia.org/wiki/Hankel_matrix
16h
comment Is there something between summation and integration?
Quadrature rules may be relevant...
16h
comment Dominating a Four Dimensional Chessboard with Rooks
The terms in the determinant expansion give the rook positions for the $n$ by $n$ matrix. So, possibly one needs to make sense of a 4D determinant to solve the problem...
16h
comment What is the importance of eigenvalues/eigenvectors?
These are the invariants of the important transformations...
Jun
24
comment Which of the numbers $1, 2^{1/2}, 3^{1/3}, 4^{1/4}, 5^{1/5}, 6^{1/6} , 7^{1/7}$ is largest, and how to find out without calculator?
@Taylor How does one find a maximum of a function defined on integers, using calculus?
Jun
24
comment Graph vertex set with a certain property
It's not clear, whether the set $V$ is well-defined...
Jun
24
comment Sign Language and Deaf Mathematicians
The blind mathematicians made contributions to abstract mathematics...
Jun
24
comment Do “other” trigonometric functions other than Tan Sin Cos and their derivatives exist?
The trigonometric functions are based on measurements of a circle. There's a generalization based on elliptic integrals...
Jun
23
comment What is a negative number?
To get an intuition on negative numbers, chose a physical measurement unit, that you are comfortable with, to add to the numbers, like temperature...
Jun
17
revised Why is it that this gives a good approximation of $\pi$?
fixed grammar
Jun
17
comment Why is it that this gives a good approximation of $\pi$?
Looks like the residue theorem for the contour integral: en.wikipedia.org/wiki/Residue_theorem#Example
Jun
17
comment Is symmetric group on natural numbers countable?
The set of the maps from $N$ to $\{0,1\}$ is a subset of $S_N$ and is essentially the power set of $N$, so it's uncountable, therefore $S_N$ is not countable...
Jun
17
comment Why is it that this gives a good approximation of $\pi$?
It's doubtful, that there's anything special about $11$...
Jun
17
revised Why is it that this gives a good approximation of $\pi$?
deleted 13 characters in body
Jun
17
answered Why is it that this gives a good approximation of $\pi$?
Jun
16
comment Does every bijection of $\mathbb{Z}^2$ extend to a homeomorphism of $\mathbb{R}^2$?
This is an example of an interpolation/extrapolation problem. One of my favorites is the related Pick-Nevanlinna interpolation problem...
Jun
13
comment Mass of Ocean to Atmosphere
This may be a global climate change problem...
Jun
12
comment Every tournament is diconnected or can be made into one by the reorientation of just one arc
If $u$ ans $v$ have $n$ disjoints connecting paths in a graph then at least $n$ edges have to be broken to disconnect them: en.wikipedia.org/wiki/Menger%27s_theorem
Jun
12
comment What is the most unusual proof you know that $\sqrt{2}$ is irrational?
Assume, that $\sqrt{2}=p/q$ and look at the last digits of $p$ and $q$...