Outrageously Funny Word Definitions :: Semicontinuous

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What is the definition of Semicontinuous? 🙋

👉 Semicontinuous is a mathematical concept that refers to a function or mapping which has both continuous and discontinuous parts. It can be defined as a function that is continuous at every point of its domain, but also has a jump discontinuity (a sudden change) at some points. A function f(x) = 1/x is an example of a semicontinuous function because it is continuous everywhere except at x=0, where the function is not defined. However, it does have


semicontinuous

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What is the definition of Semicontinuously? 🙋

👉 Semicontinuously is a mathematical concept that refers to a property of continuous functions. It means that a function f(x) is continuous at x=a if for every ε > 0, there exists a δ > 0 such that for any x in the domain of f and any number r > 0, we have |f(x) - f(a)| < ε whenever |x - a| < δ. This means that the function f is continuous at point a if it approaches its


semicontinuously

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