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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.). … From math.stackexchange.com
PROOF OF CONTINUOUS COMPOUNDING FORMULA - MATHEMATICS STACK …
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 … From math.stackexchange.com
CALCULUS - IS THERE A SHORTHAND OR SYMBOLIC NOTATION FOR ...
If it is k k times differentiable and that k k -th derivative is continuous, one writes f ∈Ck(X, Y). f ∈ C k (X, Y) I don't think there is a common notation for a function which is differentiable, but … From math.stackexchange.com
WHAT'S THE DIFFERENCE BETWEEN CONTINUOUS AND PIECEWISE …
Oct 15, 2016 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 … From math.stackexchange.com
PROBABILITY THEORY - WHY DOES A C.D.F NEED TO BE RIGHT-CONTINUOUS ...
May 10, 2019 In an alternative history, c.d.f.'s might have been defined as FX(a) =P({ω ∈ Ω: X(ω) <a}) F X (a) = P ({ω ∈ Ω: X (ω) <a}) with strict inequality, and then these functions would … From math.stackexchange.com
PROOF THAT THE CONTINUOUS IMAGE OF A COMPACT SET IS COMPACT
Let X ⊂Rn X ⊂ R n be a compact set, and f: Rn → R f: R n → R a continuous function. Then, F(X) F (X) is a compact set. I know that this question may be a duplicate, but the problem is that I … From math.stackexchange.com
CLOSURE OF CONTINUOUS IMAGE OF CLOSURE - MATHEMATICS STACK …
Nov 14, 2012 Closure of continuous image of closure Ask Question Asked 12 years, 8 months ago Modified 12 years, 8 months ago From math.stackexchange.com
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 … From math.stackexchange.com
DIFFERENCE BETWEEN CONTINUITY AND UNIFORM CONTINUITY
Jan 27, 2014 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 R R but not uniformly … From math.stackexchange.com
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