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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
Topological properties preserved by continuous maps You'll find topological properties with indication of whether they are preserved by (various kinds of) continuous maps or not (such as open maps, closed maps, quotient maps, perfect maps, etc ) For mere continuous most things have been mentioned: simple covering properties (variations on compactness, connectedness, Lindelöf) and separability
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
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?