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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
12 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 decimal) t = number of years A = amount after time t The above is specific to continuous compounding
- calculus - What is the difference between continuous derivative and . . .
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
- 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"
- 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
- is bounded linear operator necessarily continuous?
In general, is a bounded linear operator necessarily continuous (I guess the answer is no, but what would be a counter example?) Are things in Banach spaces always continuous?
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