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The reason for using ap calculus instead of just calculus is to ensure that advanced stuff is filtered out. 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 I was looking at the image of a piecewise continuous 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
To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb r$ but not uniformly continuous on $\mathbb r$. What is the difference between continuous derivative and derivative According to my teacher's solution to the assignment, it seems there exits a difference between continuous derivative and derivative. Closure of continuous image of closure ask question asked 12 years, 11 months ago modified 12 years, 11 months ago
3 this property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator Yes, a linear operator (between normed spaces) is bounded if and only if it is continuous. This might probably be classed as a soft question But i would be very interested to know the motivation behind the definition of an absolutely continuous function
To state a real valued function.
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