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seen Dec 5 '13 at 4:34

Systems biologist.


Oct
2
answered A plane Geometry Problem
Oct
1
comment fractional linear transformations
@Zarrax I see. +1 for your nice argument.
Sep
30
awarded  Commentator
Sep
30
comment fractional linear transformations
Nice argument, but I think it is not immediately clear whether the transformation takes the unit circle to "the whole of" the unit circle.
Sep
30
comment fractional linear transformations
$w=f(z)=(3z+i)/(-iz+3)$ is obviously not equal to $z$. The above is a common procedure for finding the image of a function. Do you understand that $|z|<1$ is equivalent to $|3w-i|<|iw+3|$? Which means, if $|z|<1$, its image $w=f(z)$ must satisfy $|3w-i|<|iw+3|$; and if $w$ satisfies $|3w-i|<|iw+3|$, it must be the image of some $z$ satisfying $|z|<1$. This shows that $\{w\in \mathbb{C}\mid|3w-i|<|iw+3|\}$ is the desired image.
Sep
29
revised fractional linear transformations
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Sep
29
revised fractional linear transformations
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Sep
29
answered fractional linear transformations
Sep
27
awarded  Nice Answer
Sep
27
comment Multivariate Taylor Series Derivation (2D)
This is not a rigorous proof: Suppose that one can write $f(x,y)=f(a,b)+A(x-a)+B(y-b)+C(x-a)^2+D(x-a)(y-b)+E(y-b)^2+\cdots$, how can the values $A, B, C, D, E, \dots$ be determined?
Sep
27
comment How to approach mathematical modeling of the human heart problem?
@ChesnokovYuriy Have you already checked "Mathematical Physiology" by Keener & Sneyd? It includes chapters on the human heart (Chapter 12) and can be a good starting point.
Sep
27
revised How would I solve $\frac{(n - 10)(n - 9)(n - 8)\times\ldots\times(n - 2)(n - 1)n}{11!} = 12376$ for some $n$ without brute forcing it?
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Sep
27
answered How would I solve $\frac{(n - 10)(n - 9)(n - 8)\times\ldots\times(n - 2)(n - 1)n}{11!} = 12376$ for some $n$ without brute forcing it?
Sep
14
answered Proving Cauchy-Schwarz inequality question
Sep
14
comment twice differentiable function (question from exam)
Nice answer (the above equation can be obtained using integration by parts twice). I'm also interested in its origin. My hunch was that the coefficient $1/12$ could be related to the trapezoidal rule, but I wasn't able to complete the proof along that line.
Sep
13
answered a linear-algebra problem in genetic inheritance
Sep
9
revised Need help solving a particular system of non-linear equations analytically
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Sep
9
awarded  Editor
Sep
9
revised Need help solving a particular system of non-linear equations analytically
deleted 139 characters in body
Sep
9
answered Need help solving a particular system of non-linear equations analytically