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Jul
23
comment What's the name of this theorem?
It may be not a single theorem, but the whole idea of the test/bump functions...
Jul
16
comment How to prove that the Fibonacci sequence is periodic mod 5 without using induction?
Is there anything special about number 5 in the question except that it's prime?
Jul
16
comment Can you define arc length using a piece of string?
Light travels along the shortest path geodesic curves, gravity bends light, something about isometries of spacetime continuum...
Jul
8
revised Prove that the given block matrix is positive semi-definite
added 126 characters in body
Jul
8
comment Prove that the given block matrix is positive semi-definite
Try constructing a PSD block matrix $K$, such that $M=K/L$...
Jul
8
revised Prove that the given block matrix is positive semi-definite
deleted 19 characters in body
Jul
8
answered Prove that the given block matrix is positive semi-definite
Jul
4
answered What is the importance of eigenvalues/eigenvectors?
Jul
4
comment Find this Determinant
This is an example of the Hankel matrix: en.wikipedia.org/wiki/Hankel_matrix
Jul
4
comment Is there something between summation and integration?
Quadrature rules may be relevant...
Jul
4
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...
Jul
4
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...