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Jul
17
accepted Finding the Sum of a series $\frac{1}{1!} + \frac{1+2}{2!} +\frac{1+2+3}{3!}+…$
Jul
17
comment Finding the Sum of a series $\frac{1}{1!} + \frac{1+2}{2!} +\frac{1+2+3}{3!}+…$
thanks for your reply. Yeah there are quite a few ways to do this. I feel dumb once the answers come along. I hope you dont mind if I accept the earlier answer.
Jul
17
asked Finding the Sum of a series $\frac{1}{1!} + \frac{1+2}{2!} +\frac{1+2+3}{3!}+…$
Jul
16
comment Cardinality of a set of complex numbers
I am from the northern part of coastal Karnataka, South India. Any particular reason for asking?
Jul
15
comment Cardinality of a set of complex numbers
Thanks....yeah it is quite routine...my complex analysis skills are really bad thats all.
Jul
15
accepted Cardinality of a set of complex numbers
Jul
15
comment Cardinality of a set of complex numbers
Ok....yeah thats what I meant in my first comment about weeding out the factors..and taking only those values which end up being relatively prime to 60.I got it anyway, thanks...There seem to be a multitude of answers propping up, but since yours was the first and doesn't spoil much, I will accept it.
Jul
15
comment Cardinality of a set of complex numbers
Oh..the above comment is off the tune. I just looked at integer values. Can you shed a bit more light on this?Appreciate the help.
Jul
15
comment Cardinality of a set of complex numbers
yeah..thats true...but is there any way to do this without explicitly looking for these elements....one can eliminate n values of 0,1, 2, 7. I mean odd values which end up as factors of 60...everything else should be fine right?
Jul
15
asked Cardinality of a set of complex numbers
Mar
28
awarded  Yearling
Jan
12
awarded  Revival
Jan
1
comment If $f$ is an immersion and $g$ is a submersion, then is $g \circ f $ a local diffeomorphism?
I had not put this much thought into it. Thanks a lot, especially for the last bit.
Jan
1
accepted If $f$ is an immersion and $g$ is a submersion, then is $g \circ f $ a local diffeomorphism?
Dec
8
awarded  Inquisitive
Nov
11
comment Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
Should have said this yesterday. Is the map you asked for just obtained by shifting the last $(n-k)$ vectors in $A$ to the first $n-k$ vectors and then listing the remaining $k$ vectors?
Nov
10
accepted Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
Nov
10
comment Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
Thanks a lot for your effort. That is very comprehensive!!!
Nov
10
comment Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
@Thanks for your response. Nope. I am not able to explicitly reason this out. I do vaguely understand what you are trying to teach me. But I am still lost mostly. Is $\alpha$ a sort of projection map? and did you mean $E = <v_1,...,v_k>$??
Nov
10
comment Diffeomorphism between the Grassmannian manifolds $\mathbf{Gr}(n,k)$ and $\mathbf{Gr}(n,n-k)$.
I was working with the Grassmannian as a homogeneous space obtained by the group action of orthogonal group, actually I need to prove that too.