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A Mathematics enthusiast.

My newly started blog, a random collection of info/views on science and technology.

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Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
Thanks @studiosus.
Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
@studiosus : or Lets just stick to one quadrant only
Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
@studiosus : Somehow adjust with the arccos thing, let it take (0,2pi) or what ever nice and give me an answer! Otherwise I need functions for each of $2^N$ quadrants, which i cannot afford at this time, so assume accordingly. Lets assume $f$ is somewhat regular or smooth as required, if need be
Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
@studiosus : What is the alternative terminology that fits here, I mean in two dimensions, I call it a unit circle in $\mathbb{R}^2$. Please let me know if any suitable term exists for it.
Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
@studiosus : Please be a bit constructive and explain what you mean.
Sep
5
comment Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
A $(N-1)$-cell is [0 1]x[0 1]x....(N-1)times...x[0 1]. For example, A 2-cell is the square region with vertices (0,0),(1,0),(1,1),(0,1).
Sep
5
revised Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
added 6 characters in body
Sep
5
asked Relation between a function on $N$ sphere and a function on $(N-1)$-cell.
Sep
3
asked Total variation as surface area smooth functions of two variables.
Sep
2
revised A question on relating $N$-Sphere with a $(N-1)$-cell in $\mathbb{R}^{N-1}$
edited title
Sep
2
revised A question on relating $N$-Sphere with a $(N-1)$-cell in $\mathbb{R}^{N-1}$
added 895 characters in body
Aug
31
asked A question on relating $N$-Sphere with a $(N-1)$-cell in $\mathbb{R}^{N-1}$
Aug
31
comment A question on the rectangular region defined for a vector in $\mathbb{R}^N$
How can we relate it to the given vector. Can we call an orthotopr of a vector $K$?
Aug
31
revised A question on the rectangular region defined for a vector in $\mathbb{R}^N$
tags
Aug
30
asked A question on the rectangular region defined for a vector in $\mathbb{R}^N$
Aug
3
comment Is there a bounded function discontinuous on a countable dense subset
@Did countable set of points of discontinuity
Aug
3
comment Is there a bounded function discontinuous on a countable dense subset
It needs to be integrable, Riemann or Lebesgue.
Aug
3
comment Is there a bounded function discontinuous on a countable dense subset
Is it Riemann integrable? if not, then atleast lebesgue integrable?
Aug
3
comment Is there a bounded function discontinuous on a countable dense subset
Forgot to include another condition in the question : Is it Riemann integrable? if not, then atleast lebesgue integrable?
Aug
3
comment Is there a bounded function discontinuous on a countable dense subset
thanks @user72694