Derivative
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Convective derivative - The convective derivative, also known as the Lagrangian derivative, total time derivative, and by several other names, is a derivative taken with a respect to a coordinate system moving with velocity u, and is often used in fluid mechanics and classical mechanics. It is defined for a scalar function \phi and vector v by:
Substantive derivative - In mathematics and continuum mechanics, including fluid dynamics, the substantive derivative (sometimes the Lagrangian derivative, material derivative or advective derivative), written D/Dt, is the rate of change of some property of a small parcel of fluid.
Fréchet derivative - In mathematics, the Fréchet derivative is a derivative defined on Banach spaces. Named after Maurice Fréchet, it is commonly used to formalize the concept of the functional derivative used in physics and in particular, in quantum field theory.
Formal derivative - In mathematics, the formal derivative is an operation on elements of a polynomial ring which mimics the form of the derivative from calculus. Though they appear similar, the algebraic advantage of a formal derivative is that it does not rely on the notion of a limit, which is in general impossible to define for a ring.
derivative
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