Continuous meaning

Uninterrupted in time, sequence, substance, or extent.

Attached together in repeated units.

Going on or extending without interruption or break; unbroken; connected.

Designating a function whose value at each point is closely approached by its values at neighboring points.

Relating to a line or curve that extends without a break or irregularity.

A function in which changes, however small, to any x- value result in small changes to the corresponding y- value, without sudden jumps. Technically, a function is continuous at the point c if it meets the following condition: for any positive number Ɛ, however small, there exists a positive number ẟ such that for all x within the distance ẟ from c , the value of f ( x ) will be within the distance Ɛ from f ( c ). Polynomials, exponential functions, and trigonometric functions are examples of continuous functions.

(grammar) Expressing an ongoing action or state.

The definition of continuous is going on without being interrupted.

Of or relating to a line or curve that extends without a break or irregularity.

Of or relating to a function between two topological spaces such that the preimage of any open set in the range is an open set in the domain.