continuity (redirected from continuities)

continuity

In mathematics, a property of functions and their graphs. A continuous function is one whose graph has no breaks, gaps, or jumps. It is defined using the concept of a limit. Specifically, a function is said to be continuous at a value x if the limit of the function exists there and is equal to the function's value at that point. When this condition holds true for all real number values of x in an interval, the result is a graph that can be drawn over that interval without lifting the pencil. Such functions are crucial to the theory of calculus, not just because they model most physical systems but because the theorems that lead to the derivative and the integral assume the continuity of the functions involved.

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continuity Film, TV

1. the comprehensive script or scenario of detail and movement in a film or broadcast

2. the continuous projection of a film, using automatic rewind

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continuity [‚känt·ən′ü·əd·ē]

(civil engineering)

Joining of structural members to each other, such as floors to beams, and beams to beams and to columns, so they bend together and strengthen each other when loaded. Also known as fixity.

(electricity)

Continuous effective contact of all components of an electric circuit to give it high conductance by providing low resistance.

(navigation)

The ability of a navigational system to let the user navigate without interruption.