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Jul
27
comment Does this function achieve a maximum or minimum?
That's part of it.
Jul
26
answered Does this function achieve a maximum or minimum?
Jul
26
answered How to find median from a probability distribution?
Jul
26
answered Choose initial values such that sequence always has integer values
Jul
26
comment On Period of Linear Recurring Sequences modulo $P^e$
Don't confuse the integers mod $p^e$ with the finite field $\mathbb F_{p^e}$. They are quite different.
Jul
26
comment Interesting Combinatorics question relating the coefficients of variables in Pascal's Triangle
Because if $b$ is small and $a$ is large, ${a \choose b} > {a+1 \choose b-1}$.
Jul
26
comment Interesting Combinatorics question relating the coefficients of variables in Pascal's Triangle
What's the question? You can't prove something that isn't true.
Jul
26
answered Interesting Combinatorics question relating the coefficients of variables in Pascal's Triangle
Jul
26
revised Ordering : Ranges
added 504 characters in body
Jul
25
comment Can we embed unital Banach algebras into semi-simple ones?
I meant nilpotent in the algebraic sense. So if $B$ contains a nonzero nilpotent element, you can't embed it in an abelian semi-simple Banach algebra.
Jul
24
comment How to solve the paradox in the negation to definition of limit?
Yes, the book made a mistake. They are not equivalent. For example, it might be that $f(u_n) - f(v_n) = 1$ for even $n$ and $0$ for odd $n$. Then with $\epsilon = 1$, $\forall N \in {\mathbb N}: \exists n \ge N: |f(u_n) - f(v_n)| \ge \epsilon$ is true, but the book's version with $\forall n \in \mathbb N$ is false.
Jul
24
comment Replacing pinv with inv in MATLAB
There's no way around the fact that your system has rank $< n$. But if you adopt the criterion that you want ${\bf A x}$ to be as close as possible to $\bf y$ and (subject to that) ${\bf x}$ should be as close as possible to $0$, then you do have a unique answer, which is exactly what the pseudoinverse gives you.
Jul
24
comment Replacing pinv with inv in MATLAB
Neither does $[{\bf A};{\bf b}]$ have an inverse. But both have a pseudoinverse, and pinv is happy to compute it.
Jul
24
answered Replacing pinv with inv in MATLAB
Jul
24
comment spectral measure and normal operators range
Do you know the functional calculus formulation of the spectral theorem?
Jul
24
comment Optimisation/ operational research problem classifciation
On the other hand, for a large model integer linear programming can be very slow, while local search methods may be able to get very good (if not optimal) solutions in a reasonable amount of time.
Jul
24
revised Ordering : Ranges
deleted 3 characters in body
Jul
24
answered Ordering : Ranges
Jul
24
answered spectral measure and normal operators range
Jul
24
comment A tricky diophantine equation with factorials
What about $(n,m) = (2,2)$ and $(2,1)$?