http://www.bing.com:80/search?q=Continuous+Flow+Manufacturing+Product+ExampleSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Continuous+Flow+Manufacturing+Product+ExampleCopyright © 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/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/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/3364/topological-properties-preserved-by-continuous-mapsYou'll find topological properties with indication of whether they are preserved by (various kinds of) continuous maps or not (such as open maps, closed maps, quotient maps, perfect maps, etc.). For mere continuous most things have been mentioned: simple covering properties (variations on compactness, connectedness, Lindelöf) and separability.Fri, 03 Apr 2026 12:40:00 GMThttps://math.stackexchange.com/questions/323610/the-definition-of-continuous-function-in-topology22 I am self-studying general topology, and I am curious about the definition of the continuous function. I know that the definition derives from calculus, but why do we define it like that?I mean what kind of property we want to preserve through continuous function?Fri, 03 Apr 2026 09:05:00 GMThttps://math.stackexchange.com/questions/2825505/why-not-include-as-a-requirement-that-all-functions-must-be-continuous-to-be-difWe know that differentiable functions must be continuous, so we define the derivative to only be in terms of continuous functions. But then, the fact that differentiable functions are continuous is by definition, while it is being used to justify that very definition.Sat, 28 Mar 2026 18:16:00 GMT