Continuous function proof by definition Ask Question Asked 12 years, 8 months ago Modified 6 years, 6 months ago

Describe why norms are continuous function by mathematical symbols.

As you have it written now, you still have to show $\sqrt {x}$ is continuous on $ [0,a)$, but you are on the right track. As @user40615 alludes to above, showing the function is continuous at …

Proving the inverse of a continuous function is also continuous Ask Question Asked 12 years, 1 month ago Modified 8 years ago

12 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 …

I was reading through Munkres' Topology and in the section on Continuous Functions, these three statements came up: If a function is continuous, open, and bijective, it is a homeomorphism. If a

In general, is a bounded linear operator necessarily continuous (I guess the answer is no, but what would be a counter example?) Are things in Banach spaces always continuous?

If the continuous-time system is bounded input bounded output (BIBO) stable, then so is this exact discretized system. If your input is not constant between sampling instances, then you …

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 …

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...