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Nov
21
comment Continuum Approach to Modeling Cell Proliferation and Differentiation (PDE)
I think this is a very good and on-topic question about how to understand and interpret a particular differential equation. I don't know if it makes sense to think of $X$ in terms of A cells and B cells though -- in the original PDE, $X$ is both a function of $t$ and $\lambda$, so at any given time $t$ you have a different $X$ value at all values of $\lambda$ from $0$ to $1$. To me this suggests thinking of the situation as a distribution of cells with different $\lambda$'s, but I don't know if that is makes biological sense.
Nov
21
comment Proof that no Eulerian Tour exists for graph with even number of vertices and odd number of edges
For the question in the first sentence, not the question in the title: assume all the vertices have even degree, use the handshaking lemma, and check divisibility by $4$.
Nov
21
comment Probability to find connected pixels
@daOnlyBG: There's no need to change British spellings to American ones.
Nov
21
revised Can the $9$ point circle be generalized to $n$-gons of $n\gt3$?
edited tags
Nov
21
comment norm over differentiable functions computable from derivatives only
What does norm mean here? Is the function $f$ vector-valued and you are minimizing the vector norm $\|f(x_{1,\ldots,6})-\hat f\|_2$, or something else?
Nov
21
comment Intuitive Explanation of Bessel's Correction
This is a misleading explanation. If you pick a small sample, you expect to get a small spread, but you'll divide by the size of the sample in the end anyway, so that's not a reason for the resulting sample variance to be smaller. Indeed, your argument would still apply if you computed the variance with respect to the true population mean, but in this case the expected sample variance is equal to the population variance.
Nov
21
comment Use of Delaunay Triangulation and Voronoi Diagram to find alpha shape using Edelsbrunner's algorithm
If your question is "please explain the whole alpha-shape algorithm to me" then it may be too broad in scope for this site. You will be more likely to get help if you can narrow your question down to a specific part that you do not understand.
Nov
21
awarded  Guru
Nov
21
revised Use of Delaunay Triangulation and Voronoi Diagram to find alpha shape using Edelsbrunner's algorithm
deleted 164 characters in body
Nov
21
answered Ellipse with center in origin
Nov
21
answered how many lines can be drawn from a point in space with n degrees of freedom?
Nov
21
comment Distribute small number of points on a disc
As you are aware, there are many possible optimization criteria, and they may yield different optimal configurations. It's not possible to say which one is "the best"; different criteria will be useful for different purposes.
Nov
21
answered A connected path between shapes
Nov
21
accepted You can't solve Laplace's equation with boundary conditions on isolated points. But why?
Nov
20
comment Most ambiguous and inconsistent phrases and notations in maths
I feel like your answer needs a little more justification. Right now you've shown that uses of the term "trivial" are broad but not that they are ambiguous. To me they all fall under the umbrella of "nothing much to it": the "nothing much" in the colloquial usage being in terms of effort, while in the mathematical uses, it is "nothing much" in terms of structure or complexity.
Nov
20
revised Are there functions that satisfy $f(km)\bmod m=f(m)$ that are not of the form $m\mapsto n\bmod m$?
fixed range of f, renamed q to more obviously-natural-number m
Nov
20
revised You can't solve Laplace's equation with boundary conditions on isolated points. But why?
added 553 characters in body
Nov
19
comment How to find fitting parameters of the function?
You could do worse than to start by checking the Wikipedia page for nonlinear least squares, which is basically what you are doing. The Gauss-Newton and Levenberg-Marquardt algorithms are popular numerical methods for such problems.
Nov
18
awarded  Tumbleweed
Nov
17
comment Convex sets in $\mathbb R^n$: Do they have a particular form ? Does the gradient of a linear convex function $f$ exist on such a set?
Is $S$ necessarily some ball or a Cartesian product of intervals? Not at all, see the first illustration on Wikipedia.