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The aim is to study the mathematical behavior of the result as the order of the fractional derivative changes.
It creates a sum of fractional polynomial terms, defining partial mutual derivative changes of input variables combinations.
The plan is to study the mathematical performance of the solution of LAPM as the order of the fractional derivative changes.
Finally, the potential of these higher order derivative changes for indicating the presence and location of damage in a global setting is examined.
Like the similar case in the first scenario, the manufacturer's profit function under the second scenario is concave, but it's the first derivative changes to: frac{{partial pi_{text{m2}} (p_{text{m}} )}}{{partial p_{text{m}} }} = a - 2bp_{text{m}} + bC_{text{P}} + bp_{text{s}} - frac{{bh_{text{m}} (1 - y Q,}}{{2r_{text{p}} }} + frac{{bO_{text{m}} }}{(1 - y)Q} = 0. (44).
We defined the height of each peak as the distance between its tip and the nearest point where its first derivative changes sign (see Figure 3).
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Therefore, a change in the intensity (a possible edge) is revealed as an abrupt first derivative change.
In this example, the operator is the zero one, and for and for condition (3.31) fulfilled, the Cauchy function of (2.18) and its derivative change their signs.
Thus, it is clear that the addition of Hg2+ ions 'turns-on' the fluorescence whereby the colorless weak fluorescent derivative changed to a colored highly fluorescent complex, as was also shown in Figure 3.
The times at which the derivative changed sign provided initial estimates for when the leg switched from moving forward to moving backward or vice versa.
On Thursday, the House Financial Services Committee will conduct a hearing about the effect of the Volcker Rule on markets, businesses, investors and job creation; and a House Agriculture subcommittee will conduct a hearing about derivatives changes under the Dodd-Frank financial overhaul law.
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