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| seen | Apr 29 '12 at 6:11 | |
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Apr 28 |
comment |
Find the series from a non-geometric sequence The final formula you give is also the closest I could find to match the data, but as I'm working with real observations I'd like to find something that matches it more precisely. It's the initial 0,2 that's giving me trouble. |
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Apr 28 |
comment |
Find the series from a non-geometric sequence @TMM I would like to know the formula that describes the third sequence (0 2 4 6 16 34 60 94). Even if there are dozens, I'd be grateful to learn some or all of them, whose predictions I can test against my data. The sequence is derived from empirical observations of dividing cells (i.e., there are 2 differentiated cells after the first cycle, 4 cells after the second, 6 after the third, etc.) up to 8 cycles. I hope that clarifies things. |
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Apr 28 |
awarded | Student |
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Apr 28 |
revised |
Find the series from a non-geometric sequence added 3 characters in body |
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Apr 28 |
comment |
Find the series from a non-geometric sequence I have figured out the first of the two sequences, which can be written as $\sum_{i=1}(2(n_i - 2 + 2/n_i)*n_i$, but I'm still struggling with the second. The $n_i$ are dividing cells, which may undergo several rounds of asymmetric self-renewal before differentiating, which is why the first two numbers in the sequence are zero (no differentiated cells generated in cycles 0 or 1). I think the first zero can be lopped off, so the second sequence will read: 0 2 4 6 16 34 60 94. |
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Apr 28 |
revised |
Find the series from a non-geometric sequence added 6 characters in body |
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Apr 28 |
asked | Find the series from a non-geometric sequence |
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Apr 25 |
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program for eigenvalue calculation Using eigen(A) in R gives an odd result, not the one I'm expecting, anyhow, so I'll try my hand at Octave, see what comes out. Thanks again for your help. |
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Apr 25 |
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program for eigenvalue calculation Is it possible to compute steps a-c above in R, if I have a small sparse matrix (6 x 6)? I have tried using the basic functions svd() and qr() to get dominant eigenvalues and decomposition of the matrix, but the results are not ideal (i.e., wrong or not iterated enough to converge on a plausible answer). |
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Apr 25 |
awarded | Editor |
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Apr 25 |
revised |
program for eigenvalue calculation added 9 characters in body |
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Apr 25 |
asked | program for eigenvalue calculation |