Description:
Mathematical discussions and pursuits.
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finding a function with a DE and a Taylor's polynomial.
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If you already aware of my previous question no need to introduction for u, else if you reading this fist time, This is the question Sn = 2+4+8+10+12+16+20+24+26+28+34+ 40......... finding out a 'compact' term for a particular 'increasing' Even series. from the above I'm taking 5 terms for easiness. Sn = 2+4+8+10+12 = 36... more »
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Conditions for Newton series convergence?
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Hi. What conditions are required exactly for a Newton series (finite- difference analogue of a Taylor series) to converge at non-integer points? Because I was wondering if they could be used to prove the convergence of the Newton series for the tetration of bases in (1, e^ (1/e)] (thus elevating this extension to one that has convergence... more »
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-- sequences of integers, closed under some operations
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Fix a positive integer n. Let S be the set of all sequences of n integers. Call a subset A of S "closed" if (1) if a is in A, then p(a) is in A, where p(a) is any permutation of a. (2) if a is in A, then for any f in Z[x], the sequence f(a[1]), f(a[2]), ..., f(a[n]) is in A. Remark: It's easily seen that the closed sets, as defined above, yield... more »
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mathematics vs. statistics careers
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Hello, Mathematics and statistics are closely related. Yet they are different enough to have different majors, different classes and different careers. What would make someone to decide to become a statistician instead of a mathemetician (or the reverse)? For example, it seems that mathematics at the upper levels gets... more »
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sequence (f_n)
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Hi, let f_n : f_0=1 and f_{n+1}=\int_0^x \sqrt(f_n(t)) dt is it simply convergent ? uniformly convergent ?
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Example of a subspace of vector space R^n ?
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These are the definitions I came across. "A subset U of a vector space V is a subspace of V if U is itself a vector space." "A subset U of a vector space V is a subspace of V if U is closed under addition and scalar multiplication." So, I write the following statement as per my understanding. Please... more »
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Latex Help: Bibliography
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I have repeated names in my references and i have to put the lines in. ie. I have Smith, J. Smith, J. I want to have Smith, J. ___, ___ Does any one know how to do this or do i just use manually do this using an underscore or ?? thanks craig
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