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Understanding of continuity definition in topology When we learn calculus in university as freshmen, we are usually force-fed with the \(\epsilon-\delta\) language for the definition of a function’s continuity, i.e. A function \(f: A \rightarrow \mat…
In general differential calculus, we have learned the definitions of function continuity, such as functions of class \(C^0\) and \(C^2\). For most cases, we only take them for granted as for example, we have memorized the formulations of Green identi…
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