Description:
Discussion of current mathematical research. (Moderated)
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a problem in star formation
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This is a little idle reasoning. it is coherent. but the data may be false. so please help me. all the calculations are doable with a TI30S calculator. I put 'B' into A and 'C' into
B and 'c' into C and 'M' into D... more »
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Obtaining the circumsphere of a simplex from the Cayley Menger matrix
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It is well known how to obtain the circumsphere of a simplex, given the coordinates of the vertices. But there is a rather nice expression that uses only the squared distances. One can read of the radius and barycentric coordinates directly from the Cayley-Menger matrix.
In 3D, if the inverse Cayley-Menger matrix is:... more »
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Asymptotics of one function on natural numbers
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Below, N is the set of natural numbers.
Consider a function s: N->N such that s(x) = x + 1. Now, if f: N->N is
an arbitrary function, define a mapping from the set of all such
functions to N as given below:
p(f) = c(1)
where c is the composition of functions s and f.
Finally, define a new function g: N->N such that... more »
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convex function through finite points with minimal area
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Markus wrote, On 4/16/2013 1:06 PM:
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What about the convex hull of the (x_i, y_i) and (0,0)? Perhaps I don't understand what you really want.
[
Moderator Note: I believe Markus wants the least area below the graph,
but the convex hull will have the greatest area.
]
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convex function through finite points with minimal area
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Hello everyone,
last week I found a question during my seminar work and couldn't solve
it. I'm wondering if anybody else wants to work on this since the
question is pretty easy but a solution turns out to be (at least) not
as easy as the question. So,
Given function values y_i for finite x_i's in the interval (0,1) such... more »
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a problem with temperature records
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I have some data sets ENGLAND 1729-1970, NOAA 1880-2012 GISS == NOAA data. I even have a data set for ICE but that is not my
problem.
the problem is when I run a least squares algorithm over the data set. should I change the extent, the slope increases (??).... more »
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