http://www.bing.com:80/search?q=Infinite+While+Loop+FlowchartSearch resultshttp://www.bing.com:80/s/a/rsslogo.gifhttp://www.bing.com:80/search?q=Infinite+While+Loop+FlowchartCopyright © 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/127376/i-have-learned-that-1-0-is-infinity-why-isnt-it-minus-infinityAn infinite number? Kind of, because I can keep going around infinitely. However, I never actually give away that sweet. This is why people say that 1 / 0 "tends to" infinity - we can't really use infinity as a number, we can only imagine what we are getting closer to as we move in the direction of infinity.Sun, 05 Apr 2026 07:58:00 GMThttps://math.stackexchange.com/questions/3850689/how-can-cyclic-groups-be-infiniteI am a little confused about how a cyclic group can be infinite. To provide an example, look at $\\langle 1\\rangle$ under the binary operation of addition. You can never make any negative numbers withTue, 31 Mar 2026 20:21:00 GMThttps://math.stackexchange.com/questions/3119631/ramanujans-radical-and-how-we-define-an-infinite-nested-radicalThe user @Eevee Trainer provided a nice explanation on how we define infinite nested radical in terms of limit of finite nested radical which should be insensitive of the starting point.Fri, 03 Apr 2026 03:36:00 GMThttps://math.stackexchange.com/questions/35779/what-can-be-said-about-the-dual-space-of-an-infinite-dimensional-real-vector-spaThe dual space of an infinite-dimensional vector space is always strictly larger than the original space, so no to both questions. This was discussed on MO but I can't find the thread.Fri, 03 Apr 2026 20:18:00 GMThttps://math.stackexchange.com/questions/5029969/what-is-a-good-textbook-to-learn-about-infinite-dimensional-manifoldsThere are the following textbooks to learn about infinite-dimensional manifolds: "The Convenient Setting of Global Analysis" by Andreas Kriegl and Peter W. MichorSat, 04 Apr 2026 14:26:00 GMThttps://math.stackexchange.com/questions/851599/why-set-of-natural-numbers-is-infinite-while-each-natural-number-is-finiteIn his book Analysis Vol. 1, author Terence Tao argues that while each natural number is finite, the set of natural numbers is infinite (though has not defined what infinite means yet). Using Peano...Tue, 31 Mar 2026 11:46:00 GMThttps://math.stackexchange.com/questions/1740706/proving-a-result-in-infinite-products-prod-1a-n-converges-to-a-non-zeroQuestions But from here I don't know if I am right, how to conclude and solve the converse part to say that we have a non zero limit, and another thing Can someone provide explicit examples of a sequence of complex numbers $\ {a_n\}$ such that $\sum a_n$ converges but $\prod (1+a_n)$ diverges and the other way around (This is $\prod (1+a_n)$ converges but $\sum a_n$ diverges )? Thanks a lot in ...Thu, 02 Apr 2026 20:26:00 GMThttps://math.stackexchange.com/questions/162387/can-a-countable-set-contain-uncountably-many-infinite-subsets-such-that-the-inteCan a countable set contain uncountably many infinite subsets such that the intersection of any two such distinct subsets is finite?Thu, 02 Apr 2026 16:23:00 GMThttps://math.stackexchange.com/questions/1027110/infinite-series-sum-1-nn1Write out a few terms of the series. You should see a pattern! But first consider the finite series: $$\sum\limits_ {n=1}^ {m}\left (\frac {1} {n}-\frac {1} {n+1 ...Fri, 03 Apr 2026 06:49:00 GMThttps://math.stackexchange.com/questions/519/how-do-you-prove-that-a-group-specified-by-a-presentation-is-infinite17 Grigory has already answered your particular question. However, I wanted to point out that your question "How do you prove that a group specified by a presentation is infinite?" has no good answer in general. Indeed, in general the question of whether a group presentation defines the trivial group is undecidable.Fri, 03 Apr 2026 13:01:00 GMT