I was looking at the image of a piecewise continuous Continuous from the left/right ask question asked 4 years, 5 months ago modified 4 years, 5 months ago 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 $\mathbb r$ but not uniformly continuous on $\mathbb r$.
Continuity. - ppt download
This might probably be classed as a soft question
But i would be very interested to know the motivation behind the definition of an absolutely continuous function
To state a real valued function. 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 This is a general question A function is said to be continuous
Can it still have vertical asymptotes Looking at the definition of continuity, i would say no Proving the inverse of a continuous function is also continuous ask question asked 11 years, 11 months ago modified 7 years, 10 months ago 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.
Basic real analysis should be a source of at least some intuition (which is misleading at times, granted) Can you think of some compact sets in $\mathbf r$ Are continuous functions on those sets uniformly continuous Can you remember any theorems regarding those
Another idea is to start to try to prove the statement and see whether things start to fall apart.
