Notation For Differentiation - Newton's Notation

Newton's Notation

ẋ ẍ See also: Newton's notation

Newton's notation for differentiation (also called the dot notation for differentiation) requires placing a dot over the dependent variable and is often used for time derivatives such as velocity

acceleration

and so on. It can also be used as a direct substitute for the prime in Lagrange's notation. Again this is common for functions f(t) of time.

Newton's notation is mainly used in mechanics, physics, and the theory of ordinary differential equations. It is usually only used for first and second derivatives, and then, only to denote derivatives with respect to time.

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Famous quotes containing the word newton:

    Where the statue stood
    Of Newton with his prism and silent face,
    The marble index of a mind for ever
    Voyaging through strange seas of thought, alone.
    William Wordsworth (1770–1850)