Hi,
I need help in proving the following statement:
An abelian,transitive subgroup of the symmetric group Sn is cyclic,generated by an n-cycle.
Thank's in advance
prove that the quotient space obtained by identifying the points on the southern hemisphere, is homeomorphic to the whole sphere.I am trying to define a homeomorphism between the quotient space and the sphere,and i need help doing it.
Thank's in advance.
If all columns of a matrix are unit vectors, the determinant of the matrix is less or equal 1
I am trying to prove this assertion,which i guess to be true.
can anybody help me?
Thank's in advance
I mean,continuously differentiable as an operator,that is, the derivative is continuous as a function of the matrix A.I will be glad if you send me a more specific hint.
Homework Statement
Hi,
how can i show that the matrix logarithm log(I+A) is continuously differentiable on the set of matrices having operator norm less than 1.
Homework Equations
http://planetmath.org/matrixlogarithm
The Attempt at a Solution
i tried to compute the...
Hi,
Using the definition of Hausdorff measure:
http://en.wikipedia.org/wiki/Hausdorff_measure
I am looking for a simple proof that Hd(C) is greater than 0, where C is the Cantor set and
d=log(2)/log(3)
Thank's in advance
Hi,
I am trying to understand why do the two versions of Hausdorff (fractal) dimension are actually the same.I refer to the definition by coverings and the definition by ratio of two logarythms.
http://en.wikipedia.org/wiki/Hausdorff_measure...
Hi,
Can someone give me a link to a clear and relatively basic and short matirial introducing the notion of fractal dimension (Hausdorff dimension)?
Thank's in advance.