827 reputation
522
bio website modbookish.lefora.com
location
age
visits member for 3 years, 6 months
seen Nov 6 '13 at 3:42

Jul
2
awarded  Curious
Jan
26
awarded  Yearling
Oct
29
awarded  Nice Question
Jan
26
awarded  Yearling
Nov
20
awarded  Nice Answer
Jun
8
awarded  Constituent
Jun
8
awarded  Caucus
May
22
awarded  Benefactor
May
21
comment Lie and Weierstrass' visualization of complex functions
Over the weekend, I thought up a construction similar to yours. To a complex number $x+iy$ in the functions argument I associate the line connecting $(0,0,-1)$ and $(x,y,0)$. An upward unit vector in the direction of this line acts like your $v$. Like you, I map this line to a member of its orthogonal complement of parallel lines. I orient this complementary space using a vector in the direction of the real axis original complex plane (instead of $n$). But I also have difficulty seeing how this collection of lines in three space provides insight into the behavior of a complex function.
May
16
awarded  Nice Question
May
15
awarded  Promoter
May
12
comment Lie and Weierstrass' visualization of complex functions
I am with you as far as you went, but what then? Something involving a map from the Riemann sphere, as lines, to all the lines in 3-space? Nothing I thought of made much sense. Certainly nothing provided any insight into the function being modeled.
May
12
comment Lie and Weierstrass' visualization of complex functions
@deoxygerbe The quote is on page 41 in either the third (1920) or fourth (1927) edition — the first section of the third chapter.
May
11
revised Lie and Weierstrass' visualization of complex functions
Added Math-History tag to the question
Apr
26
asked Lie and Weierstrass' visualization of complex functions
Jan
26
awarded  Yearling
Jul
7
awarded  Enlightened
Apr
23
awarded  Nice Answer
Apr
22
comment Enigma : of Wizards, Dwarves and Hats
I believe the problem statement precludes any communication once the dwarves decide on a strategy or, at least, that is the intention behind the questioners P.S. section.
Apr
22
comment Enigma : of Wizards, Dwarves and Hats
You may want to add that the dwarves need to have absolutely perfect eye sight with infinite resolution and an uncountably infinite capacity to process what they see.