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What is the integral of 0? - Mathematics Stack Exchange
Suppose f f is a continuous function defined on all of R R, and consider the following closely-related-but-not-quite-identical classes of functions associated to f f: Antiderivatives of f f, that …
How to find a fundamental solution to Pell's equation?
Nov 30, 2014 · It is quite straightforward to find the fundamental solutions for a given Pell's equation when d d is small. But I am unable to solve this equation, as I'm unable to find the …
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 …
What is a continuous extension? - Mathematics Stack Exchange
The continuous extension of f(x) f (x) at x = c x = c makes the function continuous at that point. Can you elaborate some more? I wasn't able to find very much on "continuous extension" …
The Absolute Value in the Integral of $1/x$
Your range of integration can't include zero, or the integral will be undefined by most of the standard ways of defining integrals. So we have to think of a range of integration which is …
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?
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 …
Continuity and Joint Continuity - Mathematics Stack Exchange
Jan 13, 2012 · the difference is in definitions, so you may want to find an example what the function is continuous in each argument but not jointly
probability theory - Why does a C.D.F need to be right-continuous ...
May 10, 2019 · Why does a C.D.F need to be right-continuous? Ask Question Asked 6 years, 2 months ago Modified 6 years, 2 months ago
How to compute the spectrum of shift operators in
Assuming you are familiar with these notions: σp(T) σ p (T) is point-spectrum, σc(T) σ c (T) is continuous spectrum and σr(T) σ r (T) the residual spectrum.
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