http://www.bing.com:80/search?q=Continuous+Fiber+MicroscopeSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Continuous+Fiber+MicroscopeCopyright © 2026 Microsoft. All rights reserved. These XML results may not be used, reproduced or transmitted in any manner or for any purpose other than rendering Bing results within an RSS aggregator for your personal, non-commercial use. Any other use of these results requires express written permission from Microsoft Corporation. By accessing this web page or using these results in any manner whatsoever, you agree to be bound by the foregoing restrictions.https://math.stackexchange.com/questions/5114829/continuous-vs-discrete-variablesBoth discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time. I am quite aware that discrete variables are those values that you can count while continuous variables are those that you can measure such as weight or height.Sat, 28 Mar 2026 22:48:00 GMThttps://math.stackexchange.com/questions/4973143/the-graph-of-a-continuous-function-is-a-topological-manifoldThe graph of a continuous function is a topological manifold Ask Question Asked 1 year, 6 months ago Modified 1 year, 6 months agoThu, 02 Apr 2026 12:41:00 GMThttps://math.stackexchange.com/questions/1182795/what-is-the-intuition-for-semi-continuous-functionsA function is continuous if the preimage of every open set is an open set. (This is the definition in topology and is the "right" definition in some sense.) The definitions you cite of semicontinuities claim that the preimages of certain open sets are open, but does not say so about all open sets. Note that $\ { \ {f \in \mathbb {R} \mid f > \alpha\} \mid \alpha \in \mathbb {R} \} \cup ...Tue, 31 Mar 2026 00:54:00 GMThttps://math.stackexchange.com/questions/236907/closure-of-continuous-image-of-closureClosure of continuous image of closure Ask Question Asked 13 years, 4 months ago Modified 13 years, 4 months agoThu, 02 Apr 2026 20:12:00 GMThttps://math.stackexchange.com/questions/1968943/whats-the-difference-between-continuous-and-piecewise-continuous-functionsA 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 piecewise continuousThu, 02 Apr 2026 09:13:00 GMThttps://math.stackexchange.com/questions/3764351/is-derivative-always-continuousIs 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 ...Tue, 31 Mar 2026 17:22:00 GMThttps://math.stackexchange.com/questions/7923/are-continuous-functions-always-differentiableAn interesting fact is that most (i.e. a co-meager set of) continuous functions are nowhere differentiable. The proof is a consequence of the Baire Category theorem and can be found (as an exercise) in Kechris' Classical Descriptive Set Theory or Royden's Real Analysis.Fri, 03 Apr 2026 12:47:00 GMThttps://math.stackexchange.com/questions/258511/prove-that-every-convex-function-is-continuousThe authors prove the proposition that every proper convex function defined on a finite-dimensional separated topological linear space is continuous on the interior of its effective domain. You can likely see the relevant proof using Amazon's or Google Book's look inside feature.Thu, 02 Apr 2026 17:13:00 GMThttps://math.stackexchange.com/questions/121831/why-is-the-determinant-continuousHere you want to refer to the topology of the latter as a normed space, which does not depend on the norm since they are all equivalent in finite dimension. Then the determinant is a polynomial in the coefficients, so it is continuous by composition of continuous maps.Thu, 02 Apr 2026 15:33:00 GMThttps://math.stackexchange.com/questions/3846641/continuous-functions-that-are-not-uniformly-continuousThe proof of the statement relies on showing that continuous functions defined in an interval are uniformly continuous. As i finished doing that part, I started wondering: what are all the continuous functions that are not uniformly continuous.Fri, 03 Apr 2026 23:17:00 GMT