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  • 16 votes cast
Feb
18
comment Finding the limit of the sequence $x(n) = (1+2/n)^n$
Try to rewrite you expression in the new variable $u=n/2$.
Feb
15
comment Can an infinite sum of irrational numbers be rational?
@hobbs We all know the vote game is biased, the highest voted questions getting more views and more votes. At the time I downvoted this one, it had about the same number of upvotes as the answer bellow. In my mind, it was making an unfair game fairer. It's totally fine IMHO for people to vote for reasons I don't agree with and it's better if they are transparent about it so one can confront our views.
Feb
10
comment Can an infinite sum of irrational numbers be rational?
@ÁngelValencia $110110a_1 - 1000a_2=11011$ (this times it is checked...sorry for flooding)
Feb
10
comment Can an infinite sum of irrational numbers be rational?
@ÁngelValencia Nope, in fact it is wrong...sorry. :/
Feb
10
comment Can an infinite sum of irrational numbers be rational?
@ÁngelValencia I think with your proposition you have $11011000000a_1-a_2 = 1102201100$.
Feb
10
comment Can an infinite sum of irrational numbers be rational?
@Michael, I think it is not exactly it but it works $14a_1-4a_2=9$ in binary.
Feb
10
comment Can an infinite sum of irrational numbers be rational?
@gniourf_gniourf I downvote it because of the missing proof about the rationnal independance. There are very nice valid proofs bellow without such a number of upvotes, so I admit I use it as a corrective bias as well (although it doesn't matter much now).
Feb
9
comment Can an infinite sum of irrational numbers be rational?
I know one should not use comment to just thank someone. But I was going to write something similar but without the elegant subsequence trick to generalise. Finding an example is so hard in comparison. Nice ! ;)
Nov
24
awarded  Scholar
Nov
24
accepted Cyclic monotonicity of sub-differential domain and convex property
Nov
23
revised Example of a subgroup
added 221 characters in body
Nov
23
answered Example of a subgroup
Nov
23
awarded  Yearling
Nov
23
answered The convergence criteria in Newton's method
Aug
2
awarded  Critic
Jun
26
answered Easy math proofs or visual examples to make high school students enthusiastic about math
May
31
comment Quantization minimizing the quadratic error
Yes ${y_1,y_2,\dots,y_N}$ and $f$ are optimization variables. Futhermore $f$ can't be injective (one to one) since $M > N$
May
30
comment Quantization minimizing the quadratic error
$f$ is simply a function from $\{0,\dots, M\}$ into $\{0,\dots, N\}$. It is a parameter of the minimisation.
May
28
awarded  Commentator
May
28
comment Can this multidimensional non-linear equation with constraints be minimized analytically?
First of all, as a software developper I am not a linear programmer expert. You should have noticed that this is a linearly constrained least-squares problem. And since you are constricting $w$ within a polyhedron. If the solution of the unconstrained least-squares problem lies within this polyhedron you're good. But in any other case, the solution will be on a face of the polyhedron. Which one ? It is a discrete non-continuous function of $P$ and $q$ which would invole many cases.