MHB Decreasing Values: 1.000000 to 0.670625

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The values presented show a decreasing trend from 1.000000 to 0.670625, indicating a non-linear pattern that does not fit traditional arithmetic or geometric sequences. A best fit strategy is suggested for estimating the trend, emphasizing the importance of understanding the source of these numbers for better analysis. Participants discuss the potential for curve fitting to model the data effectively. The conversation highlights the need for clarity on the origin of the data to enhance the fitting process. Overall, the focus is on finding an appropriate method to analyze the decreasing values.
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1.000000
0.912606
0.837875
0.781625
0.737125
0.700875
0.670625
 
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It seems to be neither arithmetic nor geometric. You can estimate it with a best fit strategy if that is good enough. It might help if you could tell us where you are getting these numbers from.

-Dan
 
blueberry123 said:
1.000000
0.912606
0.837875
0.781625
0.737125
0.700875
0.670625

not a bad curve fit ... what do you think?

quadgraf.png
 
Thread 'Erroneously  finding discrepancy in transpose rule'
Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

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