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Google Keyword Rankings for : what does bounded mean in math
1
https://en.wikipedia.org/wiki/Bounded_function
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https://en.wikipedia.org/wiki/Bounded_function
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2
https://mathworld.wolfram.com/Bounded.html
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https://mathworld.wolfram.com/Bounded.html
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3
https://math.fel.cvut.cz/mt/txtb/3/txe3ba3c.htm
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4
https://sciencing.com/meaning-unbounded-bounded-math-8731294.html
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https://sciencing.com/meaning-unbounded-bounded-math-8731294.html
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5
https://socratic.org/precalculus/functions-defined-and-notation/boundedness
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https://socratic.org/precalculus/functions-defined-and-notation/boundedness
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6
https://math.stackexchange.com/questions/2762711/what-is-the-meaning-of-bounded-function-in-general-term-what-happens-when-we-pu
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https://math.stackexchange.com/questions/2762711/what-is-the-meaning-of-bounded-function-in-general-term-what-happens-when-we-pu
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7
https://www.statisticshowto.com/types-of-functions/bounded-function-unbounded/
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8
https://www.quora.com/What-does-bounded-mean-on-a-graph
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https://www.quora.com/What-does-bounded-mean-on-a-graph
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9
https://www.superprof.co.uk/resources/academic/maths/calculus/functions/bounded-sequence.html
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https://www.superprof.co.uk/resources/academic/maths/calculus/functions/bounded-sequence.html
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10
https://www.wordreference.com/definition/bounded
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https://www.wordreference.com/definition/bounded
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11
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12
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13
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14
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15
https://people.math.osu.edu/costin.10/H161/supremum%20copy.pdf
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16
https://proofwiki.org/wiki/Definition:Bounded_Above_Set/Real_Numbers
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https://proofwiki.org/wiki/Definition:Bounded_Above_Set/Real_Numbers
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17
https://tutorial.math.lamar.edu/classes/calcii/moresequences.aspx
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https://tutorial.math.lamar.edu/classes/calcii/moresequences.aspx
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18
https://www.collinsdictionary.com/us/dictionary/english/bounded
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19
https://www.definitions.net/definition/bounded+function
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https://www.definitions.net/definition/bounded+function
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20
https://www.thefreedictionary.com/bounded
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https://www.thefreedictionary.com/bounded
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21
https://warwick.ac.uk/fac/sci/maths/people/staff/oleg_zaboronski/analysisi/notes-ma131_ch2.pdf
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22
https://brilliant.org/wiki/bounded-functions/
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https://brilliant.org/wiki/bounded-functions/
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23
https://explainingmaths.wordpress.com/2008/12/16/problems-with-bounded-bounds-and-boundary-and-with-closed-sets/
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https://explainingmaths.wordpress.com/2008/12/16/problems-with-bounded-bounds-and-boundary-and-with-closed-sets/
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24
https://www.studypug.com/calculus-help/monotonic-and-bounded-sequences
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https://www.studypug.com/calculus-help/monotonic-and-bounded-sequences
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25
https://www.kristakingmath.com/blog/bounded-sequences
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26
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27
https://cpb-us-e2.wpmucdn.com/sites.uci.edu/dist/d/3128/files/2020/05/Lecture-25.pdf
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28
https://www.math.ucdavis.edu/~hunter/m125b/ch2.pdf
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29
https://math.libretexts.org/Bookshelves/Analysis/Book%3A_Mathematical_Analysis_(Zakon)/02%3A_Real_Numbers_and_Fields/2.04%3A_Upper_and_Lower_Bounds._Completeness
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https://math.libretexts.org/Bookshelves/Analysis/Book%3A_Mathematical_Analysis_(Zakon)/02%3A_Real_Numbers_and_Fields/2.04%3A_Upper_and_Lower_Bounds._Completeness
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30
https://academickids.com/encyclopedia/index.php/Bounded_set
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https://academickids.com/encyclopedia/index.php/Bounded_set
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31
https://arxiv.org/abs/1703.00851
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32
https://www.oxfordreference.com/view/10.1093/oi/authority.20110803110604492
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33
https://mymathware.blogspot.com/2017/04/bounded-sets-of-real-numbers.html
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https://mymathware.blogspot.com/2017/04/bounded-sets-of-real-numbers.html
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34
https://faculty.math.illinois.edu/~mlavrov/docs/484-spring-2019/ch1lec6.pdf
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https://faculty.math.illinois.edu/~mlavrov/docs/484-spring-2019/ch1lec6.pdf
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35
https://www.reddit.com/r/learnmath/comments/f9m99v/closed_vs_bounded_sets/
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https://www.reddit.com/r/learnmath/comments/f9m99v/closed_vs_bounded_sets/
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36
https://blogs.scientificamerican.com/roots-of-unity/what-does-compactness-really-mean/
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https://blogs.scientificamerican.com/roots-of-unity/what-does-compactness-really-mean/
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37
https://ncatlab.org/nlab/show/essentially+bounded+function
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https://ncatlab.org/nlab/show/essentially+bounded+function
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38
https://www.sciencedirect.com/topics/mathematics/bounded-interval
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https://www.sciencedirect.com/topics/mathematics/bounded-interval
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39
https://www.merriam-webster.com/dictionary/bounded
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https://www.merriam-webster.com/dictionary/bounded
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40
https://www.math.purdue.edu/academic/files/courses/2007fall/MA301/MA301Ch6.pdf
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https://www.math.purdue.edu/academic/files/courses/2007fall/MA301/MA301Ch6.pdf
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41
https://onlinelibrary.wiley.com/doi/10.1002/cpa.3160140317
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https://onlinelibrary.wiley.com/doi/10.1002/cpa.3160140317
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42
https://encyclopediaofmath.org/wiki/Function_of_bounded_variation
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https://encyclopediaofmath.org/wiki/Function_of_bounded_variation
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43
http://www-groups.mcs.st-andrews.ac.uk/~john/analysis/Lectures/L21.html
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http://www-groups.mcs.st-andrews.ac.uk/~john/analysis/Lectures/L21.html
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44
https://alubond.sk/wp-includes/Requests/Cookie/vuolf/boundedness-function-definition.html
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45
https://unacademy.com/content/jee/study-material/mathematics/bounded-and-unbounded-set/
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https://unacademy.com/content/jee/study-material/mathematics/bounded-and-unbounded-set/
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46
https://www.math.uh.edu/~jiwenhe/Math1432/lectures/lecture17_handout.pdf
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https://www.math.uh.edu/~jiwenhe/Math1432/lectures/lecture17_handout.pdf
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47
https://projecteuclid.org/journalArticle/Download?urlid=10.11650%2Ftwjm%2F1500403848
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48
https://www.numerade.com/ask/question/definition-a_-set-m-is-said-to-be-bounded-away-from-zero-if-there-is-a-positive-number-so-that-x-0-for-all-x-m-8-show-that-the-following-set-m-is-bounded-away-from-0-m-n-1-n-3-inen-75895/
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https://www.numerade.com/ask/question/definition-a_-set-m-is-said-to-be-bounded-away-from-zero-if-there-is-a-positive-number-so-that-x-0-for-all-x-m-8-show-that-the-following-set-m-is-bounded-away-from-0-m-n-1-n-3-inen-75895/
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49
http://www2.econ.iastate.edu/classes/econ500/hallam/documents/Calc_Mult.pdf
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http://www2.econ.iastate.edu/classes/econ500/hallam/documents/Calc_Mult.pdf
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50
http://web02.gonzaga.edu/faculty/axon/301/intro-proofs.pdf
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http://web02.gonzaga.edu/faculty/axon/301/intro-proofs.pdf
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51
http://www.math.washington.edu/~hart/m582/Lecture13.pdf
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http://www.math.washington.edu/~hart/m582/Lecture13.pdf
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52
https://www.jstor.org/stable/1971231
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53
https://www.mathcounterexamples.net/bounded-functions-and-infimum-supremum/
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https://www.mathcounterexamples.net/bounded-functions-and-infimum-supremum/
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54
https://math.byu.edu/~bakker/M341/Lectures/Lec03.pdf
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https://math.byu.edu/~bakker/M341/Lectures/Lec03.pdf
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55
https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-3/v/unbounded-limits
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https://www.khanacademy.org/math/ap-calculus-ab/ab-limits-new/ab-1-3/v/unbounded-limits
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56
https://www.wikiwand.com/en/Bounded_function
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https://www.wikiwand.com/en/Bounded_function
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57
https://osebje.famnit.upr.si/~russ.woodroofe/wustl-notes/Upper-bounds.pdf
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https://osebje.famnit.upr.si/~russ.woodroofe/wustl-notes/Upper-bounds.pdf
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58
https://www.ams.org/bull/1971-77-04/S0002-9904-1971-12763-5/S0002-9904-1971-12763-5.pdf
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https://www.ams.org/bull/1971-77-04/S0002-9904-1971-12763-5/S0002-9904-1971-12763-5.pdf
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59
https://link.springer.com/article/10.1007/BF01190955
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https://link.springer.com/article/10.1007/BF01190955
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60
https://sites.math.northwestern.edu/~scanez/courses/320/notes/supinf.pdf
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https://sites.math.northwestern.edu/~scanez/courses/320/notes/supinf.pdf
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61
http://people.reed.edu/~ormsbyk/111/integrals.pdf
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http://people.reed.edu/~ormsbyk/111/integrals.pdf
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62
https://web.ma.utexas.edu/mp_arc/c/16/16-63.pdf
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https://web.ma.utexas.edu/mp_arc/c/16/16-63.pdf
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63
https://math.etsu.edu/multicalc/prealpha/Chap2/Chap2-1/printversion.pdf
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https://math.etsu.edu/multicalc/prealpha/Chap2/Chap2-1/printversion.pdf
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64
https://people.bath.ac.uk/mw2319/ma30252/sec-bdd.html
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65
https://www.maa.org/sites/default/files/pdf/upload_library/2/Ellenberg-Math%20Hor-2014.pdf
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66
https://www.thoughtco.com/definition-of-unity-in-mathematics-1147310
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67
https://www.expii.com/t/boundedness-theorem-30
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https://www.expii.com/t/boundedness-theorem-30
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68
https://www.math.usm.edu/lambers/mat419/lecture4.pdf
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https://www.math.usm.edu/lambers/mat419/lecture4.pdf
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69
https://www.chegg.com/learn/calculus/precalculus/unbounded-region
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https://www.chegg.com/learn/calculus/precalculus/unbounded-region
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70
http://www.fields.utoronto.ca/talks/Mini-course-Bounded-Mean-Oscillation-0
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http://www.fields.utoronto.ca/talks/Mini-course-Bounded-Mean-Oscillation-0
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71
https://www.bartleby.com/subject/engineering/computer-science/concepts/bounded-summation
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72
https://math.mit.edu/~apm/ch03.pdf
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https://math.mit.edu/~apm/ch03.pdf
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73
https://www2.clarku.edu/faculty/djoyce/ma121/limits.pdf
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https://www2.clarku.edu/faculty/djoyce/ma121/limits.pdf
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74
http://www2.hawaii.edu/~robertop/Courses/Math_431/Handouts/HW_Sep_5_sols.pdf
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http://www2.hawaii.edu/~robertop/Courses/Math_431/Handouts/HW_Sep_5_sols.pdf
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75
http://wiki.gis.com/wiki/index.php/Support_(mathematics)
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http://wiki.gis.com/wiki/index.php/Support_(mathematics)
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76
https://www.ijsr.net/archive/v4i5/SUB154580.pdf
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77
https://www.askiitians.com/iit-jee-algebra/set-relations-functions/bounded-and-unbounded-functions.aspx
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https://www.askiitians.com/iit-jee-algebra/set-relations-functions/bounded-and-unbounded-functions.aspx
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78
https://www.freemathhelp.com/forum/threads/bounded-derivative.91353/
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79
https://www.math.arizona.edu/~izosimov/mat337/IntegrationNotes.pdf
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80
https://mathvault.ca/hub/higher-math/math-symbols/calculus-analysis-symbols/
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81
https://ltcconline.net/greenl/courses/107/Series/seq.htm
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82
http://www.math.brown.edu/jpipher/CRMmaterials/Ferguson_Sadosky(2000).pdf
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http://www.math.brown.edu/jpipher/CRMmaterials/Ferguson_Sadosky(2000).pdf
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83
http://webhost.bridgew.edu/msalomone/analysisbook/section-bounded.html
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http://webhost.bridgew.edu/msalomone/analysisbook/section-bounded.html
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84
https://mathcs.org/analysis/reals/infinity/defs/glb_inf.html
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https://mathcs.org/analysis/reals/infinity/defs/glb_inf.html
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85
https://users.math.msu.edu/users/yanb/chapter2.pdf
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https://users.math.msu.edu/users/yanb/chapter2.pdf
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86
http://web.simmons.edu/~grigorya/321/notes/note22.pdf
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http://web.simmons.edu/~grigorya/321/notes/note22.pdf
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87
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D3E1070D4AF8CD0F33D092AB3BA6C4A0/S0004972700003798a.pdf/bounded_and_relatively_bounded_sets.pdf
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https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D3E1070D4AF8CD0F33D092AB3BA6C4A0/S0004972700003798a.pdf/bounded_and_relatively_bounded_sets.pdf
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88
https://www2.karlin.mff.cuni.cz/~kaplicky/pages/pages/2010z/JohnNi1961.pdf
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https://www2.karlin.mff.cuni.cz/~kaplicky/pages/pages/2010z/JohnNi1961.pdf
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89
https://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut39_zero2.htm
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https://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut39_zero2.htm
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90
https://msp.org/pjm/1978/74-1/pjm-v74-n1-p26-s.pdf
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https://msp.org/pjm/1978/74-1/pjm-v74-n1-p26-s.pdf
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91
https://moviecultists.com/what-does-bounded-mean-in-math
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https://moviecultists.com/what-does-bounded-mean-in-math
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92
https://iopscience.iop.org/article/10.1070/SM9502/meta
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https://iopscience.iop.org/article/10.1070/SM9502/meta
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93
https://mathhelpforum.com/threads/countinous-bounded-function-that-does-not-attain-its-bounds.169856/
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https://mathhelpforum.com/threads/countinous-bounded-function-that-does-not-attain-its-bounds.169856/
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94
https://adriana-cosmetics.fr/per-in-math.html
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