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Google Keyword Rankings for : fast cauchy sequences
1
https://math.stackexchange.com/questions/1232012/show-that-a-cauchy-sequence-has-a-fast-cauchy-subsequence
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https://math.stackexchange.com/questions/1232012/show-that-a-cauchy-sequence-has-a-fast-cauchy-subsequence
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2
https://faculty.etsu.edu/gardnerr/Func/notes/2-5.pdf
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https://faculty.etsu.edu/gardnerr/Func/notes/2-5.pdf
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3
https://en.wikipedia.org/wiki/Cauchy_sequence
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https://en.wikipedia.org/wiki/Cauchy_sequence
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4
http://math.bu.edu/people/mkon/MA711/L21RA.pdf
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http://math.bu.edu/people/mkon/MA711/L21RA.pdf
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5
https://mathforums.com/t/cauchy-sequence-that-isnt-a-fast-cauchy-sequence.4120/
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https://mathforums.com/t/cauchy-sequence-that-isnt-a-fast-cauchy-sequence.4120/
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6
https://people.math.harvard.edu/~elkies/M55a.02/top6.pdf
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https://people.math.harvard.edu/~elkies/M55a.02/top6.pdf
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7
https://www.chegg.com/homework-help/questions-and-answers/fast-cauchy-sequence-let-left-x-n-right-sequence-metric-space-x-d-sum-n-1-infty-d-left-x-n-q100536495
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https://www.chegg.com/homework-help/questions-and-answers/fast-cauchy-sequence-let-left-x-n-right-sequence-metric-space-x-d-sum-n-1-infty-d-left-x-n-q100536495
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8
https://www.youtube.com/watch?v=VNoHcFoawTg
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https://www.youtube.com/watch?v=VNoHcFoawTg
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9
https://core.ac.uk/download/pdf/82181664.pdf
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https://core.ac.uk/download/pdf/82181664.pdf
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10
http://www-groups.mcs.st-andrews.ac.uk/~john/analysis/Lectures/L10.html
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http://www-groups.mcs.st-andrews.ac.uk/~john/analysis/Lectures/L10.html
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11
https://www.jstor.org/stable/43834596
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https://www.jstor.org/stable/43834596
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12
https://mathweb.ucsd.edu/~bseward/140a_fall22/Cauchy_construction_of_R.pdf
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https://mathweb.ucsd.edu/~bseward/140a_fall22/Cauchy_construction_of_R.pdf
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13
https://www.researchgate.net/publication/222614157_Sylvester-Habicht_Sequences_and_Fast_Cauchy_Index_Computation
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https://www.researchgate.net/publication/222614157_Sylvester-Habicht_Sequences_and_Fast_Cauchy_Index_Computation
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14
https://www.semanticscholar.org/paper/Cauchy-sequences-in-semimetric-spaces-Burke/ec0ffdb8e14973c2c8e14abb59c5ba9d889f1e9f
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https://www.semanticscholar.org/paper/Cauchy-sequences-in-semimetric-spaces-Burke/ec0ffdb8e14973c2c8e14abb59c5ba9d889f1e9f
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15
https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-18/issue-1/Cauchy-sequences-in-Moore-spaces/pjm/1102994421.pdf
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https://projecteuclid.org/journals/pacific-journal-of-mathematics/volume-18/issue-1/Cauchy-sequences-in-Moore-spaces/pjm/1102994421.pdf
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16
http://web.math.ucsb.edu/~labutin/real_analysis_III.pdf
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http://web.math.ucsb.edu/~labutin/real_analysis_III.pdf
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17
https://www.tandfonline.com/doi/full/10.1080/25742558.2018.1487500
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https://www.tandfonline.com/doi/full/10.1080/25742558.2018.1487500
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18
https://www2.math.upenn.edu/~kazdan/504/anal.pdf
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https://www2.math.upenn.edu/~kazdan/504/anal.pdf
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19
https://dergipark.org.tr/tr/download/article-file/462519
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https://dergipark.org.tr/tr/download/article-file/462519
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20
https://dl.acm.org/doi/10.1006/jsco.2000.0427
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https://dl.acm.org/doi/10.1006/jsco.2000.0427
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21
https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2012-234
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https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2012-234
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22
https://www.malayajournal.org/articles/MJM06020004.pdf
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https://www.malayajournal.org/articles/MJM06020004.pdf
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23
https://mathoverflow.net/questions/128569/a-model-where-dedekind-reals-and-cauchy-reals-are-different
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https://mathoverflow.net/questions/128569/a-model-where-dedekind-reals-and-cauchy-reals-are-different
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24
https://aip.scitation.org/doi/10.1063/1.5136136
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https://aip.scitation.org/doi/10.1063/1.5136136
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25
https://www.quora.com/When-dealing-with-Cauchy-sequences-how-do-I-deal-with-convergence-of-functions
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https://www.quora.com/When-dealing-with-Cauchy-sequences-how-do-I-deal-with-convergence-of-functions
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26
https://www.yumpu.com/en/document/view/37295493/i-pre-cauchy-sequences-and-orlicz-functions-1-the-
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https://www.yumpu.com/en/document/view/37295493/i-pre-cauchy-sequences-and-orlicz-functions-1-the-
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27
https://coq.inria.fr/library/Coq.Reals.Cauchy.ConstructiveCauchyReals.html
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https://coq.inria.fr/library/Coq.Reals.Cauchy.ConstructiveCauchyReals.html
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28
https://www.cut-the-knot.org/WhatIs/SpaceCompletion.shtml
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https://www.cut-the-knot.org/WhatIs/SpaceCompletion.shtml
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29
https://maths-people.anu.edu.au/~john/Assets/Assignments%20and%20Solutions/MATH1115%201999/Soln4_99.pdf
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https://maths-people.anu.edu.au/~john/Assets/Assignments%20and%20Solutions/MATH1115%201999/Soln4_99.pdf
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30
https://link.springer.com/content/pdf/10.1007/BF03009937.pdf
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https://link.springer.com/content/pdf/10.1007/BF03009937.pdf
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31
https://www.isr-publications.com/jnsa/9843/download-generalized-statistically-pre-cauchy-triple-sequences-via-orlicz-functions
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https://www.isr-publications.com/jnsa/9843/download-generalized-statistically-pre-cauchy-triple-sequences-via-orlicz-functions
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32
http://www.cs.rpi.edu/~magdon/ps/journal/FCTSICOMP_096369-gg-2016.pdf
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http://www.cs.rpi.edu/~magdon/ps/journal/FCTSICOMP_096369-gg-2016.pdf
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33
https://www.worldscientific.com/doi/10.1142/S1793557109000248
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https://www.worldscientific.com/doi/10.1142/S1793557109000248
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34
https://ipsj.ixsq.nii.ac.jp/ej/?action=repository_uri&item_id=176555&file_id=1&file_no=1
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https://ipsj.ixsq.nii.ac.jp/ej/?action=repository_uri&item_id=176555&file_id=1&file_no=1
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35
https://pages.pomona.edu/~elf04747/Math%20101/101Lectures%20copy.pdf
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https://pages.pomona.edu/~elf04747/Math%20101/101Lectures%20copy.pdf
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36
https://personal.math.ubc.ca/~cass/courses/m220-00/cauchy.pdf
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https://personal.math.ubc.ca/~cass/courses/m220-00/cauchy.pdf
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37
https://pubmed.ncbi.nlm.nih.gov/30849328/
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https://pubmed.ncbi.nlm.nih.gov/30849328/
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38
https://www.academia.edu/6624125/quasi_Cauchy_sequences
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https://www.academia.edu/6624125/quasi_Cauchy_sequences
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39
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000300003
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http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172014000300003
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40
https://academic.oup.com/bioinformatics/article/30/6/784/286298
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https://academic.oup.com/bioinformatics/article/30/6/784/286298
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41
https://typeset.io/topics/cauchy-sequence-l4swtbwp
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https://typeset.io/topics/cauchy-sequence-l4swtbwp
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42
https://plus.maths.org/content/maths-minute-real-numbers-and-cauchy-sequences
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https://plus.maths.org/content/maths-minute-real-numbers-and-cauchy-sequences
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43
https://polipapers.upv.es/index.php/AGT/article/download/16126/14892/80061
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https://polipapers.upv.es/index.php/AGT/article/download/16126/14892/80061
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44
https://www.bartleby.com/questions-and-answers/suppose-a-cauchy-sequence-xn-is-such-that-for-every-m-n-there-exists-a-k-m-and-an-n-m-such-that-xk-0/2311a491-2ccf-4044-89f4-71960f5d9a3e
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https://www.bartleby.com/questions-and-answers/suppose-a-cauchy-sequence-xn-is-such-that-for-every-m-n-there-exists-a-k-m-and-an-n-m-such-that-xk-0/2311a491-2ccf-4044-89f4-71960f5d9a3e
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45
https://sites.math.washington.edu/~morrow/464_11/464.html
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https://sites.math.washington.edu/~morrow/464_11/464.html
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46
https://www.geneseo.edu/~aguilar/public/notes/Real-Analysis-HTML/ch8-sequences-of-functions.html
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https://www.geneseo.edu/~aguilar/public/notes/Real-Analysis-HTML/ch8-sequences-of-functions.html
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47
http://www.seams-bull-math.ynu.edu.cn/downloadfile.jsp?filemenu=_201202&filename=08_36(2).pdf
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http://www.seams-bull-math.ynu.edu.cn/downloadfile.jsp?filemenu=_201202&filename=08_36(2).pdf
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48
https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3893
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https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3893
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49
http://www.m-hikari.com/pms/pms-2018/pms-1-4-2018/p/tabassumPMS1-2018.pdf
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http://www.m-hikari.com/pms/pms-2018/pms-1-4-2018/p/tabassumPMS1-2018.pdf
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50
https://www.wyzant.com/resources/answers/164765/prove_m_2m_1_is_a_cauchy_sequence_using_the_cauchy_sequence_definition
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https://www.wyzant.com/resources/answers/164765/prove_m_2m_1_is_a_cauchy_sequence_using_the_cauchy_sequence_definition
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51
https://www.britannica.com/science/metric-space
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https://www.britannica.com/science/metric-space
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52
https://www.wikiwand.com/en/Sequence
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https://www.wikiwand.com/en/Sequence
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53
https://tutorial.math.lamar.edu/classes/calcii/seriesintro.aspx
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https://tutorial.math.lamar.edu/classes/calcii/seriesintro.aspx
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54
http://see-articles.ceon.rs/data/pdf/2217-3412/2012/2217-34121201021K.pdf
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http://see-articles.ceon.rs/data/pdf/2217-3412/2012/2217-34121201021K.pdf
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55
https://cyberleninka.org/article/n/1369725
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https://cyberleninka.org/article/n/1369725
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56
https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4466
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https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4466
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57
http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/4430
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http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/4430
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58
https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/ch4.pdf
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https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/ch4.pdf
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59
https://math.mit.edu/~casals/18100A.html
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https://math.mit.edu/~casals/18100A.html
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60
http://assets.press.princeton.edu/chapters/s8452.pdf
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http://assets.press.princeton.edu/chapters/s8452.pdf
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61
https://people.eecs.berkeley.edu/~minilek/publications/papers/fast_l1.pdf
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https://people.eecs.berkeley.edu/~minilek/publications/papers/fast_l1.pdf
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62
https://archiveofourown.org/works/37943230
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https://archiveofourown.org/works/37943230
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63
https://optimization-online.org/wp-content/uploads/2020/12/8169.pdf
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https://optimization-online.org/wp-content/uploads/2020/12/8169.pdf
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64
http://www.iosrjournals.org/iosr-jm/papers/Vol13-issue4/Version-3/J1304036169.pdf
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http://www.iosrjournals.org/iosr-jm/papers/Vol13-issue4/Version-3/J1304036169.pdf
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65
https://orbit.dtu.dk/ws/files/2789466/imm2452.pdf
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https://orbit.dtu.dk/ws/files/2789466/imm2452.pdf
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66
https://www.math.lsu.edu/~sengupta/4031f06/IntroRealAnalysNotes.pdf
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https://www.math.lsu.edu/~sengupta/4031f06/IntroRealAnalysNotes.pdf
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67
https://proceedings.mlr.press/v134/cabannes21a/cabannes21a.pdf
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https://proceedings.mlr.press/v134/cabannes21a/cabannes21a.pdf
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68
https://yanglab.westlake.edu.cn/software/gcta/
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https://yanglab.westlake.edu.cn/software/gcta/
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69
https://acikerisim.aku.edu.tr/xmlui/bitstream/handle/11630/8007/Regularly%20Ideal%20Convergence%20and%20Regularly%20Ideal%20Cauchy%20Double%20Sequences%20in%202-Normed%20Spaces.pdf?sequence=1&isAllowed=y
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https://acikerisim.aku.edu.tr/xmlui/bitstream/handle/11630/8007/Regularly%20Ideal%20Convergence%20and%20Regularly%20Ideal%20Cauchy%20Double%20Sequences%20in%202-Normed%20Spaces.pdf?sequence=1&isAllowed=y
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70
https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1298&context=mss_fac
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https://scholarworks.utrgv.edu/cgi/viewcontent.cgi?article=1298&context=mss_fac
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71
http://www1.maths.leeds.ac.uk/~pmt6jrp/3210course.pdf
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http://www1.maths.leeds.ac.uk/~pmt6jrp/3210course.pdf
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72
https://web.yonsei.ac.kr/nipi/lectureNote/Real%20Analysis-Marsden-seo.pdf
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https://web.yonsei.ac.kr/nipi/lectureNote/Real%20Analysis-Marsden-seo.pdf
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73
https://www.degruyter.com/document/doi/10.2478/s12175-008-0096-x/html?lang=en
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https://www.degruyter.com/document/doi/10.2478/s12175-008-0096-x/html?lang=en
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74
https://dialnet.unirioja.es/servlet/articulo?codigo=726531
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https://dialnet.unirioja.es/servlet/articulo?codigo=726531
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75
https://ses.library.usyd.edu.au/bitstream/handle/2123/15169/wilson_hg_thesis.pdf?sequence=1&isAllowed=y
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https://ses.library.usyd.edu.au/bitstream/handle/2123/15169/wilson_hg_thesis.pdf?sequence=1&isAllowed=y
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76
https://www.warwickmaths.com/wp-content/uploads/2020/07/MA131_1___Analysis_1-1.pdf
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https://www.warwickmaths.com/wp-content/uploads/2020/07/MA131_1___Analysis_1-1.pdf
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77
https://mathcs.org/analysis/reals/numser/series.html
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https://mathcs.org/analysis/reals/numser/series.html
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78
https://wiki.math.ntnu.no/_media/ma2501/2015v/fixedpoint.pdf
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https://wiki.math.ntnu.no/_media/ma2501/2015v/fixedpoint.pdf
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79
https://s3-eu-west-1.amazonaws.com/pstorage-cmu-348901238291901/12250013/FastAlgorithmsforMiningCoevolvingTimeSeries.pdf
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https://s3-eu-west-1.amazonaws.com/pstorage-cmu-348901238291901/12250013/FastAlgorithmsforMiningCoevolvingTimeSeries.pdf
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80
https://www.math.cuhk.edu.hk/course_builder/1819/math3270b/lecture%20notes5.pdf
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https://www.math.cuhk.edu.hk/course_builder/1819/math3270b/lecture%20notes5.pdf
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81
https://drops.dagstuhl.de/opus/volltexte/2018/8735/pdf/LIPIcs-SoCG-2018-22.pdf
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https://drops.dagstuhl.de/opus/volltexte/2018/8735/pdf/LIPIcs-SoCG-2018-22.pdf
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82
https://www.cell.com/cell-reports/pdf/S2211-1247(21)00424-1.pdf
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https://www.cell.com/cell-reports/pdf/S2211-1247(21)00424-1.pdf
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83
https://digital.com/altavista/
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https://digital.com/altavista/
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84
https://www.ams.org/bull/1939-45-01/S0002-9904-1939-06923-1/S0002-9904-1939-06923-1.pdf
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https://www.ams.org/bull/1939-45-01/S0002-9904-1939-06923-1/S0002-9904-1939-06923-1.pdf
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85
https://oa.mg/work/10.48550/arxiv.1903.05895
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https://oa.mg/work/10.48550/arxiv.1903.05895
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86
http://georgehaller.com/reprints/ghostmanifold.pdf
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http://georgehaller.com/reprints/ghostmanifold.pdf
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87
http://www.im.ufrj.br/~rivera/Art_Pub/TeseCaba.pdf
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http://www.im.ufrj.br/~rivera/Art_Pub/TeseCaba.pdf
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88
https://books.google.com/books?id=UdQGEAAAQBAJ&pg=PA79&lpg=PA79&dq=fast+cauchy+sequences&source=bl&ots=56cHI4DJN5&sig=ACfU3U3vE30zXEY7Mx0iQD6k3fExIsXTyA&hl=en&sa=X&ved=2ahUKEwjW84HShNT7AhUhA9QKHQAlBAkQ6AF6BQjAAhAD
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89
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91
https://books.google.com/books?id=5sRsCQAAQBAJ&pg=PA73&lpg=PA73&dq=fast+cauchy+sequences&source=bl&ots=_Sbm6ZLZ1U&sig=ACfU3U2NNZRiygEPL8OwtPB2YdApOZRWgw&hl=en&sa=X&ved=2ahUKEwjW84HShNT7AhUhA9QKHQAlBAkQ6AF6BQjCAhAD
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92
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93
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https://mathsolver.microsoft.com/en/solve-problem/172.5%2B(%20%60frac%7B%20%20%60frac%7B%2099%20%20%7D%7B%204%20%20%7D%20%20-22%20%20%7D%7B%2017%20%20%7D%20%20)6
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