con·tin·u·ous
kən-ˈtin-yü-əs
1
: marked by uninterrupted extension in space, time, or sequence
The batteries provide enough power for up to five hours of continuous use.
2
of a function
: having the property that the absolute value of the numerical difference between the value at a given point and the value at any point in a neighborhood of the given point can be made as close to zero as desired by choosing the neighborhood small enough
continuousness
noun
con·tin·u·ous·ness
kən-ˈtin-yü-əs-nəs,
-yə-wəs-
plural -es
: the quality or state of being continuous
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Merriam-Webster unabridged



