Visual meaning of 'smoothness'? - learn with images, example in daily life

Visual illustration of smoothness: The condition of being smooth; the degree or measure of said condition. - Image 1

smoothness: The condition of being smooth; the degree or measure of said condition. - Thumbnail 1

smoothness: The condition of being smooth; the degree or measure of said condition. - Thumbnail 2

noun

The condition of being smooth; the degree or measure of said condition.

"The smoothness of the new kitchen counter made it easy to clean. "

condition quality appearance material

Visual illustration of smoothness: (of a function) The highest order of derivative (the differentiability class) over a given domain.

noun

(of a function) The highest order of derivative (the differentiability class) over a given domain.

"Smoothness can vary from 0 (for a nondifferentiable function) to infinity (for a smooth function)."

math technical function

Visual illustration of smoothness: (approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.

noun

(approximation theory, numerical analysis, of a function) The quantity measured by the modulus of smoothness.

"The researcher analyzed the smoothness of the generated curve, calculating its modulus of smoothness to assess how well it approximated the ideal function. "

math technical function