Continuous | search
Click here to view Continuous news from 60+ newspapers.
Bookmark or Share- What's the difference between continuous and piecewise continuous ...A piecewise continuous function doesn't have to be continuous at finitely many points in a finite interval, so long as you can split the function into subintervals such that each interval is continuous. A nice piecewise continuous function is the floor function: The function itself is not continuous, but each little segment is in itself continuous.
- Continuity and Joint Continuity - Mathematics Stack ExchangeStack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
- Is derivative always continuous? - Mathematics Stack ExchangeIs 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 to points on a ...
- Are there any functions that are (always) continuous yet not ...A natural class of examples would be paths of Brownian motion. These are continuous but non-differentiable everywhere. You may also be interested in fractal curves such as the Takagi function, which is also continuous but nowhere differentiable. (I think Wikipedia calls it the "Blancmange curve".)
- What is a continuous extension? - Mathematics Stack ExchangeThere are other ways a function can be a continuous extension, but probably the most basic way (and likely about the only way you'll see in elementary calculus) is that you have a function that is not defined at some point (maybe more than one point), but the limit of the function exists at that point(s), so if you simply define (like how you ...
More
