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Apr
28
comment Find particular pair of values that satisfy equation
How do you order ordered pairs?
Apr
26
answered Show that any conjugate pair of complex numbers (with non-zero imaginary part) cannot be the spectrum of any 2x2 matrix with real, nonnegative entries
Apr
26
comment On a certain series of cosines
When p > q, there will be more terms. For p < q, you are right.
Apr
26
asked On a certain series of cosines
Apr
24
comment Computation of an inverse trigonometric series using complex numbers
The students do not know integration right now. And certainly complex analysis is not in the syllabus. I like the solution though, thanks!
Apr
24
asked Computation of an inverse trigonometric series using complex numbers
Apr
11
awarded  Nice Question
Dec
25
accepted The equation of a pair of tangents to a circle from a point.
Nov
17
awarded  Inquisitive
Nov
16
asked Arnold's combinatorial description of entropy.
Nov
14
comment Exercise 1.2.4 (From Grimmett and Stirzaker)
Did you try using the definitions? Can you state what you have to prove in order to show that G is closed under complementation?
Oct
28
answered ABC a triangle with orthocenter and circumcenter at (9,5) and (0,0) respectively if equation of side BC is 2x-y=1 , then find possible coords of A?
Oct
20
comment The equation of a pair of tangents to a circle from a point.
I did not follow the derivative-tangent argument. Why should the equality of the curve equation's derivative imply tangency?
Oct
19
comment The equation of a pair of tangents to a circle from a point.
I am talking about the equation of pair of tangents to circle through a point P. See iit-jee-maths.blogspot.in/2008/12/…
Oct
17
accepted Plucker's $\mu$
Oct
17
asked The equation of a pair of tangents to a circle from a point.
Oct
16
comment Plucker's $\mu$
I got motivated to read geometry after reading Felix Klein's "Elementary Mathematics from an Advanced viewpoint: Geometry". Perhaps it is the same book. I forgot to revisit that book. Thanks for this proof. Now I appreciate the Plucker trick a little more. I wish there even more examples!
Oct
15
comment Plucker's $\mu$
Thank you. I knew that in the complex projective plane they will always intersect at the "right" number of points. But I want to know if there is a "real" meaning to those conics that intersect at those 4 complex points? The point about tangency is cool. Thanks!
Oct
15
asked Plucker's $\mu$
Oct
13
revised Theory and problems book in euclidean, affine, and projective geometry
fixed grammar