3,155 reputation
11030
bio website None
location Linköping, Sweden
age 28
visits member for 3 years, 11 months
seen 2 hours ago

Engineer.


5h
comment Traveling salesman neighborhood
Right, each vertex has only two edges connected to it. But if you want to be able to get each possible "swap of two edges" in your argument above, don't you need to view each edge both as $(v_i, v_j)$ and $(v_j, v_i)$?
9h
comment Prove that if $\mathbf A$ is an $n\times m$ matrix, then $\text{tr}(\mathbf A \mathbf A')=\text{tr}(\mathbf A' \mathbf A) $
What have you tried?
11h
comment Prove that $A$ is similar to $B$
So $m_A$ is the minimal polynomial for $A$ and $f_A$ is the characteristic polynomial for $A$?
13h
comment Intuitive transition from matrices to tensor-concept
This kind of rank is also called order or degree.
13h
comment Changing order of summation - proof
I am guessing there are some constraints on the sequences $x, h_1, h_2$, e.g. that they are convergent. Are there more constraints?
13h
reviewed Approve Find the sum of digits of m?
13h
comment Find an orthonormal basis for the subspace w
Okay, what was your strategy if they had been zero?
14h
comment Find an orthonormal basis for the subspace w
What have you tried?
14h
comment Traveling salesman neighborhood
In the case $N_2(f)$, what happens if the edges you remove are incident, e.g. you remove $(v_i, v_j)$ and $(v_k, v_j)$, will not swapping the enpoints here result in $(v_i, v_j)$ and $(v_k, v_j)$, i.e. the same configuration you started with?
1d
answered Intuitive transition from matrices to tensor-concept
1d
awarded  Constituent
Dec
16
awarded  Caucus
Oct
6
comment Smoothly Parametrized basis of $V\otimes V$
I assume that you mean, for any $t \in \mathbb R$, $\{(\cos t, \sin t),(-\sin t, \cos t)\}$ is a basis for $\mathbb R \oplus \mathbb R$. Furthermore, what are your conditions for non-trivial basis?
Sep
30
awarded  Explainer
Sep
28
reviewed Approve Roots of $x^{4} -28 x^{2}+49$ with Horner
Sep
27
asked Set family closed under symmetric difference
Sep
21
awarded  Tumbleweed
Sep
14
asked Example of syzygies not arising from polynomial rings
Sep
12
awarded  Enlightened
Sep
12
awarded  Nice Answer