Let be a continuous function on an interval.
Every absolutely continuous function is uniformly continuous and, therefore, continuous.
Every continuous function from a closed ball of a Euclidean space into itself has a fixed point.
Любое непрерывное отображение замкнутого шара в себя в конечномерном евклидовом пространстве имеет неподвижную точку.
A continuous function need not have a finite nor an infinite derivative.
Непрерывная функция может не иметь ни конечной, ни бесконечной производной.
The teacher explained that every continuous function has an indefinite integral.
Assume that temperature at a point is a continuous function of the coordinates.
The definite integral of a continuous function can be computed using various methods.
Any continuous function can be approximated with a polynomial.
A continuous function is not always differentiable everywhere.
Непрерывная функция не всегда дифференцируема на всем своем интервале.
Neural networks can be used to approximate any continuous function to any desired precision.
Нейронная сеть способна аппроксимировать любую непрерывную функцию с некоторой наперед заданной точностью.
A physical signal, such as sound pressure can be represented as a continuous function of time.
Consider a continuous function on a metric space.
Let be a positive continuous function on.