Description:
Discussion of current mathematical research. (Moderated)
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On Generalized bi-Gamma-Ideals in Gamma-Semigroups
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The present day theory of ideals has been standardized in some
respects, and
it is recently being extensively enriched and studied by many
algebraists. This
notion of ideals that was originally formulated by Dedekind for the
ring of
integers of an algebraic number eld, was again generalized by Emmy... more »
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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:
...
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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