A general mathematical property obeyed by mathematical objects in which all elements are within a neighborhood of nearby points. The continuous maps between topological spaces form a category. The designation "continuous" is sometimes used to indicate membership in this category.
Continuous
See also
Absolutely Continuous, Continuous Distribution, Continuity, Continuous Function, Continuous Map, Continuous Space, Differentiable, Jump, Piecewise ContinuousPortions of this entry contributed by Todd Rowland
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References
Jeffreys, H. and Jeffreys, B. S. "Limits of Functions: Continuity." §1.06 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 17-23, 1988.Referenced on Wolfram|Alpha
ContinuousCite this as:
Rowland, Todd and Weisstein, Eric W. "Continuous." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Continuous.html