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- 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
- Meaning of the continuous spectrum and the residual spectrum
@Konstantin : The continuous spectrum requires that you have an inverse that is unbounded If X X is a complete space, then the inverse cannot be defined on the full space It is standard to require the inverse to be defined on a dense subspace If it is defined on a non-dense subspace, that falls into the miscellaneous category of residual
- Topological Continuous Functions - Mathematics Stack Exchange
The pasting lemma for finitely many closed sets now says that h h is continuous on X X (a) would follow from the following lemma: If Y Y is an ordered topological space, L = {(y,y′) ∈Y2: y ≤y′} L = {(y, y) ∈ Y 2: y ≤ y} is closed in Y2 Y 2 Assuming this lemma, (a) follows from standard facts on the product topology:
- Closure of continuous image of closure - Mathematics Stack Exchange
Closure of continuous image of closure Ask Question Asked 12 years, 8 months ago Modified 12 years, 8 months ago
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