httprover's 2nd blog
Wednesday, June 30, 2021
More on the Principle of Least Action
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It appears that the way the variation is done affects the minimum of the action integral. If one arranges the variation so that it is nor...
Sunday, June 27, 2021
Formulas for v·dr
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The formulas for v · dr modified to contain the variations are, with t being the tangent unit vector to the trajectory gives,
Saturday, June 26, 2021
The Principle of Least Action
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Maupertuis loosely introduced the Principle of Least Action in 1741. A few years later in 1744 in Methodus inveniendi Euler associated A...
Saturday, May 22, 2021
LS Fit Using Orthogonal Polynomials over the Data Interval
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One can make the vectors or functions used to compute the fit coefficients more symmetrical if one defines a set of orthogonal polynomial...
Tuesday, May 18, 2021
Validity of the Formula for the Uncertainty in the Fit Coefficients
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My derivation of the uncertainty in the fit coefficients assumed that the expected value <δy j δy k >=0 for k≠j. It is not obviou...
Thursday, May 13, 2021
Determining the Uncertainty in the Coefficients
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One might wonder what the uncertainty in values of the coefficients in the last blog might have been. Repeated "experiments" sh...
Tuesday, May 11, 2021
Combining Multiple Experiments
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If one repeats the same experiment a number of times the errors become more uniformly distributed. A plot of the data shows a more unifor...
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