# local derivative

## local derivative

[′lō·kəl də′riv·əd·iv]
(fluid mechanics)
The rate of change of a quantity f with respect to time at a fixed point of a fluid, ∂ f /∂ t; it is related to the individual derivative df/dt through the expression ∂ f /∂ t = df/dt - V · ∇ f, where f is a thermodynamic property f (x,y,z,t) of the fluid, V the vector velocity of the fluid, and ∇ the del operator.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Unlike other fractional derivatives, the Hausdorff derivative is a local derivative rather than a global operation, say Liang, Chen, and Cai, so its computing costs are far less while its performance is almost equal in modeling a variety of complex problems.
JT Capital, a new local derivative brokerage firm, officially launched operations in Cambodia on Saturday, joining in on Cambodia's fledgling derivative trading market after receiving a licence from the Securities and Exchange Commission of Cambodia (SECC), according to an SECC press release.
The nature behind LBP is actually derivative operation [9, 10], which is also the basic idea of local derivative pattern (LDP) [9].
A relationship of their derivatives with some integral transform operators was presented by Atangana and Koca [29] who show the existence and uniqueness of the system solutions of the fractional system in detail and also obtained a chaotic behavior which was not obtained by local derivative. Goufo [30] adopted newly developed Caputo-Fabrizio fractional derivative without singular kernel to obtain an analytical solution of Korteweg-de Vries-Burgers equation with two perturbations' levels.
Recall that the Caputo-Fabrizio fractional derivative reads as the convolution of the local derivative and the function exponential.
This conformable (fractional) derivative seems to be kind of local derivative without memory.
The local derivative operators "[sub./1]", "[sub.|p]"and "[|.sup.(1).sub.(p)])" are called the R-horizontal covariant derivative, the M-horizontal covariant derivative and the vertical covariant derivative associated to the [GAMMA]-linear connection [nabla][gamma].
Although the notorious 'Leeds Look', a local derivative of the pervasive commercial Post-Modernism of the 1980s, is now history, city planners had a potentially prescriptive vision for the development of the site.
Risha Mohyeddin, a renowned global markets expert and pioneer in developing local derivatives in Pakistan conducted the workshops aimed to disseminate knowledge and understanding of derivatives and their risk management benefits.
The local dependency is discretised by introducing difference quotients instead of local derivatives. This yields ordinary non-linear differential equations.

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