Yes, she does a good job of getting ideas across. She describes herself as a journalist with training in mathematics.

http://www.ericaklarreich.com/aboutme.html

I especially enjoyed the article on three-manifold topology and the proof of the virtual Haken conjecture

https://www.simonsfoundation.org/quanta/20121002-getting-into-shapes-from-hyperbolic-geometry-to-cube-complexes-and-back/

http://westy31.home.xs4all.nl/Circumsphere/ncircumsphere.htm ]]>

Sorry about my messy replies. The unfinished sentence is about the fact that in the circuit, there is no net influx. Interestingly, this means integrated over space is zero.

]]>Right! I can’t believe I missed that. Thank you for clarifying this.

]]>Anonymous wrote:

I find the definition of graph Laplacian peculiar.

This definition gives the usual discretization of the ordinary Laplacian if our graph is a lattice like this:

or something similar in any other dimension. For example, in the 1-dimensional case, where we have a chain of vertices with each vertex connected to its neighboring vertices and by edges, this definition gives

which is (up to a constant factor) the usual discretization of the 2nd derivative.

]]>Your LaTeX is converging to correctness! I’m glad you’re trying to use LaTeX.

If you look directly above the box you type into here, you’ll see these directions:

You can use HTML in your comments. You can also use LaTeX, like this:

$latex E = m c^2$

The word ‘latex’ comes right after the first dollar sign, with a space after it.

I’ve attempted to fix your LaTeX, but you also have a sentence that doesn’t reach the end. I think I get your overall point, though.

]]>Retry2 Latex:

latex$ V_i \rightarrow (\sum(V_j Y_{ji})-\rho_ii)/\sum(Y_{ji})) $

Retry Latex:

$V_i \rightarrow (\sum(V_j Y_{ji})-\rho_ii)/\sum(Y_{ji})) $