(loosely) a mathematical function such that a small change in the independent variable, or point of the domain, produces only a small change in the value of the function.
(at a point in its domain) a function that has a limit equal to the value of the function at the point; a function that has the property that for any small number, a second number can be found such that when the distance between any other point in the domain and the given point is less than the second number, the difference in the functional values at the two points is less than the first number in absolute value.
(at a point in a topological space) a function having the property that for any open set containing the image of the point, an open set about the given point can be found such that the image of the set is contained in the first open set.
(on a set in the domain of the function or in a topological space) a function that is continuous at every point of the set.
noun 1. . noun 1. a long narrow hinge that runs the full length of the two surfaces to which its leaves are joined.
[kuh n-tin-yoo-uh s] /kənˈtɪn yu əs/ adjective 1. uninterrupted in time; without cessation: continuous coughing during the concert. 2. being in immediate connection or spatial relationship: a continuous series of blasts; a continuous row of warehouses. 3. Grammar. (def 7). /kənˈtɪnjʊəs/ adjective 1. prolonged without interruption; unceasing: a continuous noise 2. in an unbroken series […]
noun, Automotive, Machinery. 1. a transmission, typically using rubber belts and pulleys, in which the ratio of the rotational speeds of two shafts, as the drive shaft and driven shaft of a vehicle, can be varied continuously within a given range, providing an infinite number of possible ratios. Abbreviation: CVT.
noun 1. .