http://www.bing.com:80/search?q=Continuous+Line+Figure+DrawingSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Continuous+Line+Figure+DrawingCopyright © 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/653100/difference-between-continuity-and-uniform-continuityTo understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb R$ but not uniformly continuous on $\mathbb R$.Fri, 24 Apr 2026 23:20:00 GMThttps://math.stackexchange.com/questions/569928/prove-that-the-function-sqrt-x-is-uniformly-continuous-on-x-in-mathbbr@user1742188 It follows from Heine-Cantor Theorem, that a continuous function over a compact set (In the case of $\mathbb {R}$, compact sets are closed and bounded) is uniformly continuous.Fri, 24 Apr 2026 19:46:00 GMThttps://math.stackexchange.com/questions/667939/is-the-set-of-non-differentiable-points-for-a-singular-continuous-function-nowheIn view of the correspondence of nondecreasing functions with positive measures, singular continuous functions correspond to singular continuous measures, i.e. an atomless positive Borel measures concentrated on a set of Lebesgue measure zero.Tue, 21 Apr 2026 15:24:00 GMThttps://math.stackexchange.com/questions/5074674/what-does-it-mean-that-every-metric-is-continuous6 "Every metric is continuous" means that a metric $d$ on a space $X$ is a continuous function in the topology on the product $X \times X$ determined by $d$.Sun, 19 Apr 2026 23:19:00 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.Wed, 22 Apr 2026 18:22:00 GMThttps://math.stackexchange.com/questions/26514/continuous-image-of-compact-sets-are-compactThe fact that f is continuous doesn't guarantee that the image of f's inverse is open, much less is even defined. For example, f (x) = 1 is continuous but it's inverse isn't even defined. Maybe the argument here needs to be broken into more cases?Fri, 24 Apr 2026 22:09:00 GMThttps://math.stackexchange.com/questions/3929668/statistic-mode-on-continuous-dataHowever, the continuous distribution of the population has a mode. Sometimes the population mode is approximated by looking at a histogram of the data, and using some kind of interpolation to say where in the tallest bar the population mode may lie.Thu, 23 Apr 2026 12:37:00 GMThttps://math.stackexchange.com/questions/3349268/continuous-function-and-continuous-functorContinuous function and Continuous functor Ask Question Asked 6 years, 7 months ago Modified 6 years, 7 months agoThu, 23 Apr 2026 22:03:00 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 continuousFri, 24 Apr 2026 07:07:00 GMT