Roughness vs. Smoothness
Roughnessnoun
The property of being rough, coarseness.
Roughnessnoun
(US) Roughage; coarse fodder.
Roughnessnoun
(Scotland) Abundance, especially of food.
Roughnessnoun
The quality or state of being rough.
Roughnessnoun
a texture that is not smooth but is irregular and uneven
Roughnessnoun
harsh or rough to the ear
Roughnessnoun
an unpolished unrefined quality;
Roughnessnoun
used of the sea
Roughnessnoun
rowdy behavior
Roughnessnoun
the formation of small pits in a surface as a consequence of corrosion
Smoothnessnoun
The condition of being smooth; the degree or measure of said condition.
Smoothnessnoun
The highest order of derivative (the differentiability class) over a given domain.
Smoothnessnoun
The quantity measured by the modulus of smoothness.
Smoothnessnoun
Quality or state of being smooth.
Smoothnessnoun
a texture without roughness; smooth to the touch
Smoothnessnoun
the quality of being free from errors or interruptions
Smoothness
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives it has over some domain. At the very minimum, a function could be considered smooth if it is differentiable everywhere (hence continuous).
