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- What is a continuous extension? - Mathematics Stack Exchange
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") simultaneously with the phrase "ap calculus" The reason for using "ap calculus" instead of just "calculus" is to ensure that advanced stuff is filtered out
- Proof of Continuous compounding formula - Mathematics Stack Exchange
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
- is bounded linear operator necessarily continuous?
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
- The definition of continuously differentiable functions
Note the ending "-ly", which makes it an adverb, not an adjective So "continuously differentiable" means "differentiable in a continuous way"
- Closure of continuous image of closure - Mathematics Stack Exchange
Closure of continuous image of closure Ask Question Asked 13 years ago Modified 13 years ago
- If $f,g$ are continuous functions, then $fg$ is continuous?
I believe it follows from the fact that we showed $f+g$ is continuous whenever $f$ and $g$ are continuous Indeed, if $g$ is continuous, then $-g$ is clearly continuous
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