Rather than what i was expecting, namely, if a function is … · in my mind it seems to say, if a function is continuous, we can show that if it is also differentiable, then it is continuous. I was looking at the image of a … Whats reputation … · a continuous function is a function where the limit exists everywhere, and the function at those points is defined to be the same as the limit. Here you want to refer to the topology of the latter as a normed space, which does not depend on the norm since they are all equivalent in finite dimension. Following is the formula to calculate continuous compounding a = p e^(rt) continuous compound interest formula where, p = principal amount (initial investment) r = annual interest rate (as a Are continuous … The authors prove the proposition that every proper convex function defined on a finite-dimensional separated topological linear space is continuous on the interior of its effective domain. · closure and continuous map ask question asked 6 years, modified 6 years, To find examples and explanations on the internet at the elementary calculus level, try googling the phrase continuous extension (or variations of it, such as extension by continuity) … · youll need to complete a few actions and gain 15 reputation points before being able to upvote. · to understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function thats continuous on $\mathbb r$ but not uniformly … Can you think of some compact sets in $\mathbf r$? · basic real analysis should be a source of at least some intuition (which is misleading at times, granted). Upvoting indicates when questions and answers are useful. Then the determinant is a polynomial in …
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Rather than what i was expecting, namely, if a function is … · in my mind it seems to say, if a function is continuous,...
