
probability theory - Why does a C.D.F need to be right-continuous ...
May 10, 2019 · This function is always right-continuous. That is, for each x ∈ Rk we have lima ↓ xFX(a) = FX(x). My question is: Why is this property important? Is there any capital result in …
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 …
What is the difference between "differentiable" and "continuous"
I have always treated them as the same thing. But recently, some people have told me that the two terms are different. So now I am wondering, What is the difference between …
Continuous versus differentiable - Mathematics Stack Exchange
A function is "differentiable" if it has a derivative. A function is "continuous" if it has no sudden jumps in it. Until today, I thought these were merely two equivalent definitions of the same c...
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 …
is bounded linear operator necessarily continuous?
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 …
Closure and continuous map - Mathematics Stack Exchange
Sep 10, 2018 · Closure and continuous map Ask Question Asked 6 years, 9 months ago Modified 6 years, 9 months ago
Is derivative always continuous? - Mathematics Stack Exchange
Jul 21, 2020 · Is the derivative of a differentiable function always continuous? My intuition goes like this: If we imagine derivative as function which describes slopes of (special) tangent lines …
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 …
Proving the inverse of a continuous function is also continuous
Proving the inverse of a continuous function is also continuous Ask Question Asked 11 years, 8 months ago Modified 7 years, 6 months ago