Reputation
1,031
Top tag
Next privilege 2,000 Rep.
Edit questions and answers
Badges
5 17
Impact
~32k people reached

1d
comment Parametrising a curve using curvature and torsion functions
Ok and what about the parametrisation of the curve?Can that be found?
1d
answered parallel non-intersecting lines in E3
1d
comment Parametrising a curve using curvature and torsion functions
Your curve also does that. But I wished to know if the curve i mentioned is also a geodesic on a cone possibly.
1d
comment Parametrising a curve using curvature and torsion functions
Well, I thought any geodesic on a cone should satisfy the relation that $\dfrac{d}{ds}(\dfrac{\tau}{\kappa})$ is a constant. Am I right?
1d
asked Parametrising a curve using curvature and torsion functions
Feb
1
asked Regarding the axis of screw motion for a space curve.
Oct
26
awarded  Notable Question
Oct
20
comment Consider the following linear operation
Not convergent does not imply not bounded in general
Oct
11
comment Equation in complex plane involving curvature and torsion of a space curve
@Andrew. 1. Yes I am given a space curve $\gamma$ and I am trying to glean some properties of it as you said. 2. Yes I am interested in what shape $z(t)$ traces with $(r,\theta)$ denoting polar coordinates as you rightly remarked.3 There is a motivating problem that led me to introduce $z$.
Oct
10
comment Equation in complex plane involving curvature and torsion of a space curve
No. That would just restrict to a helix, right?
Oct
10
comment Equation in complex plane involving curvature and torsion of a space curve
Thanks. I have not had any luck with googling or literature survey, possibly because search terms like "curvature complex torsion" are too broad. What sort of relations between normal curvature and geodesic torsion are you talking about??
Oct
10
comment Two spaces contain the same vector, can we say the space with smaller dimension is a subspace of the larger one?
I believe we can. Any $N$ mapping $\beta$ to $\alpha$ should do it. Maybe as an example you can look at $f(x,y) = x+y$ and $g(x) = 2x$. That should tell you something.
Oct
10
comment Equation in complex plane involving curvature and torsion of a space curve
Yes. But I am not sure what you are hinting at.Can you elaborate?
Oct
10
asked Equation in complex plane involving curvature and torsion of a space curve
Sep
23
comment Nilpotent matrix and relation between its powers and dimension of kernels
That was very neatly put. I guess I have to rely on my understanding rather than reach for a book for any and every result.
Sep
23
comment Nilpotent matrix and relation between its powers and dimension of kernels
I apologise for not seeing your edit at all. I dont why only your comments were visible. The nullity would be 2 and that would give me my answer.
Sep
23
accepted Nilpotent matrix and relation between its powers and dimension of kernels
Sep
23
comment Nilpotent matrix and relation between its powers and dimension of kernels
You have my gratitude. This was what I was looking for. Is there any book that has results like these which could come in handy while solving problems in Linear Algebra??
Sep
23
comment Nilpotent matrix and relation between its powers and dimension of kernels
Yes I do know about generalised eigenvectors. Will give it a go myself again before you post your answer. I was looking for some method that doesnt involve too much computation as this question propped up in a timed exam. But anything helps. Thank you.
Sep
23
comment Nilpotent matrix and relation between its powers and dimension of kernels
Thanks for your trouble. But I have almost no knowledge of modules as such. Could you explain using a vector space over the reals approach??I guess that would follow as a special case of what you said. But it would still be very helpful. Thanks again