Description:
Symbolic algebra discussion.
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Some recursive equation
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Let 0<a<=1 and consider recursive equation x[n-1]*cosx[n]=x[n] with x [0]=a. I can prove that sequence (x[n]) belongs to interval (0,1] and limx[n] =0. By numerical observation I think that x[n] is asymptotically equal to 1/sqrt[n] i.e. lim(x[n]*sqrt[n])=1. It is true? How to prove it? Thanks in advance!... more »
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Polynomial rewriting question
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Consider the following 3 polynomials: Here x,y,z,w,h are variables; rest are constants. (1) x*z-y*z, (2) x^2*w -2*x*y*w +y^2w + p, (3) 2*s+h+x-y When we look closely at these, we notice that everywhere x and y occur, they occur as "x-y". Suppose we let t= x-y, then we can rewrite the above polynomials as (1) tz (2) t^2*w (3) 2*s+h+t.... more »
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Mathematica 7 Installation Errors on Solaris
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I'm trying to install Mathematica 7.0.1 (it's a trial version) on a Sun Blade 2000 running Solaris 10 with one 1200MHz processor, but the installation is failing. I've reported this to Wolfram Reserach but so far have not received a response. I have also sent the message to a Mathematica specific newgroup, but the post has not appeared. I note some Mathematica... more »
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Dr. Ronald Federici: Advocates for Children in Therapy (ACT)
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Ronald Steven Federici is often described as “the country’s expert in the neuropsychological evaluation and treatment of children having multi-sensory neurodevelopmental impairments.” He is best described as a “developmental neuropsychologist,” specializing in the treatment of “institutional autism” (which he also... more »
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modern algebra: groups of order up to a hundred
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Hello, Does anyone know where I can find a research paper or communication describing all the groups of order less than or equal to 100 up to isomorphism. I would be very greatful to anyone who could point me to such a document, as well as the web addresses of any other sites dealing with abstract algebra and... more »
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