# second derivative

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## second derivative

[′sek·ənd də¦riv·əd·iv]
(mathematics)
The derivative of the first derivative of a function.
References in periodicals archive ?
Twelve different geometrical descriptors, together with first and second derivatives, are chosen: three coefficients of the first fundamental form, i.
There is now a need to find the first and second derivative of the quadratic function y = a[x.
There were some other acoustic features which also showed promising results other than MFCC along with their first and second derivative.
The second derivatives at the points of extrema must match the sign:
If the second derivative is not known then there are two variants of qualitative proportionality:
Second, an in-depth analysis was performed including the first and second derivatives of both FCN amplitude and phase variations.
In order to better identify the differences between spectra, they were vector-normalized followed by a second derivative transformation (Figure 3(b)).
y] [member of] [- 1/2, [1/2] the pixel is the feature point of the centerline, furthermore, if the second derivative reaches to the extreme, the pixel is considered as a salient point of the centerline.
Equation (2) is used to calculate the second derivative of the audio signal, which is given by [S.
The second derivative information is contained in the Hessian matrix of the objective function H [f], whose (i, j)-component is [[partial derivative].
Local optimization can be divided into the following three classes: non-derivative methods, first derivative (gradient) methods, and second derivative methods.
It is also required to find the first and the second derivative of the 'noise' traffic diagrams of the objects, which correspond to the speeds and accelerations of the car movement.

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