Sentence examples for derivatives are given from inspiring English sources
New definitions for Shape derivatives are given.
Their derivatives are given as follows.
Now, the time derivatives are given by (9).
Analytical expressions for all thermodynamic functions and derivatives are given in terms of the model parameters.
The nodes at which the derivatives are given are treated as extra nodes.
The computational procedure of drift reliabilities, their first and second derivatives are given in detail.
The relationship between these two types of derivatives is given by the following theorem.
Definitions of fractional derivatives were given by Riemann, Liouville, Grunwald, Letnikov and Caputo [25 28], and they are based on generalized functions.
The alginate-amino acid derivatives were characterized by FT-IR, 1H NMR and UV spectra and the amino acid content on alginate-amino acid derivatives was given by ninhydrin-UV method.
Some fundamental definitions of fractional derivatives were given by Coimbra, Davison and Essex, Riesz, Riemann-Liouville, Hadamard, Weyl, Jumarie, Grünwald-Letnikov, and Liouville-Caputo [6 8], and the properties of these derivatives are reviewed in [9].
In "A shifted Legendre matrix of derivatives", and with the aid of shifted Legendre polynomials polynomials, a new operational matrix of derivatives is given in terms of harmonic numbers.
