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Apr
11
asked Finding the value of a linear combination out of a system of equations
Mar
14
revised Showing that a logarithmic inequality holds
added 4 characters in body
Mar
14
revised Showing that a logarithmic inequality holds
edited title
Mar
14
revised Showing that a logarithmic inequality holds
edited tags
Mar
14
asked Showing that a logarithmic inequality holds
Jan
24
accepted Volume of a convex hull in $n$ dimensions
Dec
9
revised Volume of a convex hull in $n$ dimensions
changed $p_i$ to $\hat{\mathbf p}_i$
Dec
9
comment Volume of a convex hull in $n$ dimensions
Nice! I got it. Could you please include your comment in the answer and add a couple of references, if possible. I'll tag it as accepted then. I also made a small edit in your answer. Thanks.
Dec
9
suggested suggested edit on Volume of a convex hull in $n$ dimensions
Dec
9
comment Volume of a convex hull in $n$ dimensions
Could you elaborate more on #2. How is it derived?
Dec
9
asked Volume of a convex hull in $n$ dimensions
Dec
8
answered Real life application of Gaussian Elimination
Sep
15
accepted Finding the closest point on a hyperplane to a given point
Sep
14
asked Finding the closest point on a hyperplane to a given point
Aug
22
comment Rank of a $n! \times n$ matrix
@ChrisCulter: You are right. I made a mistake in my last edit to the question which is now corrected. I actually meant $(n-1)$-dimensional hyperplane, not space. But, it's not clear to me yet why a permutohedron is in $(n-1)$-dimensional space while it may not pass the origin too.
Aug
22
revised Rank of a $n! \times n$ matrix
added 2 characters in body
Aug
22
comment Rank of a $n! \times n$ matrix
@ChrisCulter: I updated the question and added some detail. It's not a complete proof but I think it's enough to convince the reader. Could you please write your comments as an answer with more details if you think this is the correct one.
Aug
22
revised Rank of a $n! \times n$ matrix
added 664 characters in body
Aug
22
comment Rank of a $n! \times n$ matrix
@ChrisCulter: Wow! My problem has quite the same nature since $\sum y_i = \log(1+\sum x_i)$ for all of the points. This must be the solution or isn't it?
Aug
22
comment Rank of a $n! \times n$ matrix
@ChrisCulter: that's a great comment. Do you have any idea or reference describing why "The permutohedron of order $n$ lies entirely in the $(n − 1)$-dimensional hyperplane"?