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One way is an approximation method and the other is a mathematical manipulation method.
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Rather, they subject available information to substantial mathematical manipulation: data are standardized by using matching percentiles (reminiscent of the relative distribution methods), then undergo beta transformation, and a linear average of the transformed values is taken.
"You have to know the unit you are working in to do the mathematical manipulation".
Images are obtained from X-ray diffraction data only after intense mathematical manipulation.
Thus, narcissistic numbers are numbers that can be represented by some kind of mathematical manipulation of their digits.
Finally, simple mathematical manipulation of Eqs.
The model simulations are carried out in a suitable computational code without any other mathematical manipulation.
This technique uses the Kalman filter avoiding the batch estimator and applies a mathematical manipulation avoiding the linearization approximations.
As the capacity of all computers is finite, continuous problems can only be solved exactly by mathematical manipulation.
Social networks are the handiest and most sophisticated mass manipulation method there is.
This approach acknowledges presumed exchangeability of indicators after mathematical manipulation.
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