http://www.bing.com:80/search?q=Continuous+Example+in+ScienceSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Continuous+Example+in+ScienceCopyright © 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/5127388/proving-a-limit-of-a-measure-is-continuousI was trying to formalize some things about string motion in physics so I could answer more general questions about it and then I got to a point as to see the limit written below. I then asked myselfFri, 10 Apr 2026 13:00:00 GMThttps://math.stackexchange.com/questions/477/cardinality-of-set-of-real-continuous-functionsThe cardinality is at most that of the continuum because the set of real continuous functions injects into the sequence space $\mathbb R^N$ by mapping each continuous function to its values on all the rational points. Since the rational points are dense, this determines the function.Mon, 13 Apr 2026 14:29:00 GMThttps://math.stackexchange.com/questions/339289/continuous-function-proof-by-definitionMore frustratingly, the people giving the answers make bigger mistakes or have bigger confusions about continuity than the person asking for continuity: for a detailed explanation on how to show that the square root function is continuous, here is a Pdf file that gives a detailed example.Mon, 20 Apr 2026 07:04:00 GMThttps://math.stackexchange.com/questions/254626/the-space-of-bounded-continuous-functions-is-not-separableThe space of bounded continuous functions is not separable Ask Question Asked 13 years, 4 months ago Modified 3 months agoSat, 18 Apr 2026 15:35:00 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.Sun, 19 Apr 2026 05:04:00 GMThttps://math.stackexchange.com/questions/110573/continuous-mapping-on-a-compact-metric-space-is-uniformly-continuousBasic 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.Sat, 18 Apr 2026 18:27:00 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?Thu, 16 Apr 2026 00:00:00 GMThttps://math.stackexchange.com/questions/610709/example-of-continuous-but-not-absolutely-continuous-strictly-increasing-functionThe sum of continuous functions are continuous, and the sum of an increasing function with a strictly increasing one is strictly increasing. As in the proof that $\text {c}$ is not absolutely continuous choose $\epsilon < 1$.Tue, 14 Apr 2026 19:15:00 GMThttps://math.stackexchange.com/questions/348560/continuous-time-versus-discrete-time-stochastic-modelsContinuous time models are useful when the dynamics you are interested in are fine enough to be approximated as a continuous process. Moreover, it is a common misconception that somehow continuous time dynamics are more difficult than discrete time. This is hardly the case and depends on how coarse your model is.Fri, 17 Apr 2026 23:43:00 GMT