derivative operator in a sentence

In computer vision and image processing, Gaussian derivative operators of different orders are frequently used as a basis for expressing various types of visual operations; see scale space and N-jet.
I'm just not sure why they switch from dY / di to using the partial derivative operator at the end . talk ) 06 : 51, 28 February 2012 ( UTC)
It is indeed quite tempting to formally take a square root of a derivative operator, or square it, but in what sense does applying a differential operator twice lead to energy squared?
where the superscript N to the left of the derivative operator indicates the reference frame in which the derivative is taken . cross multiplied with the vector "'a "'itself.
The respected factor \ zeta _ { i _ k } is anti-commutated to the left until the derivative operator can be directly applied . we may prove the following properties of the derivatives

Unfortunately the comparable process for the derivative operator " D " is significantly more complex, but it can be shown that " D " is neither commutative nor additive in general.
The corresponding scale-space framework encompasses a theory for Gaussian derivative operators, which can be used as a basis for expressing a large class of visual operations for computerized systems that process visual information.
The special case of exponentiating the derivative operator to a non-integer power is called the fractional derivative which, together with the fractional integral, is one of the basic operations of the fractional calculus.
Due to the commutative property between the derivative operator and the Gaussian smoothing operator, such " scale-space derivatives " can equivalently be computed by convolving the original image with Gaussian derivative operators.
Due to the commutative property between the derivative operator and the Gaussian smoothing operator, such " scale-space derivatives " can equivalently be computed by convolving the original image with Gaussian derivative operators.

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