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Google Keyword Rankings for : non differentiable example
1
https://socratic.org/questions/what-are-some-examples-of-non-differentiable-functions
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https://socratic.org/questions/what-are-some-examples-of-non-differentiable-functions
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2
https://www.analyzemath.com/calculus/continuity/non_differentiable.html
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https://www.analyzemath.com/calculus/continuity/non_differentiable.html
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3
https://www.youtube.com/watch?v=BQsbR9-JclA
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https://www.youtube.com/watch?v=BQsbR9-JclA
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4
https://www.youtube.com/watch?v=pj1VvscsV0s
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https://www.youtube.com/watch?v=pj1VvscsV0s
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5
https://encyclopediaofmath.org/wiki/Non-differentiable_function
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https://encyclopediaofmath.org/wiki/Non-differentiable_function
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6
https://calculus.nipissingu.ca/tutorials/derivatives.html
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https://calculus.nipissingu.ca/tutorials/derivatives.html
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7
https://www.statisticshowto.com/derivatives/differentiable-non-functions/
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https://www.statisticshowto.com/derivatives/differentiable-non-functions/
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8
http://dl.uncw.edu/digilib/Mathematics/Calculus/Differentiation/Freeze/DerivativeAsFunction.html
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http://dl.uncw.edu/digilib/Mathematics/Calculus/Differentiation/Freeze/DerivativeAsFunction.html
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9
http://lafcalc.weebly.com/uploads/1/1/3/8/11389348/33_3.2_notes.pdf
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http://lafcalc.weebly.com/uploads/1/1/3/8/11389348/33_3.2_notes.pdf
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10
https://study.com/skill/learn/identifying-a-continuous-function-that-may-fail-to-be-differentiable-at-a-point-in-its-domain-explanation.html
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https://study.com/skill/learn/identifying-a-continuous-function-that-may-fail-to-be-differentiable-at-a-point-in-its-domain-explanation.html
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11
https://optimization.mccormick.northwestern.edu/index.php/Nondifferentiable_Optimization
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https://optimization.mccormick.northwestern.edu/index.php/Nondifferentiable_Optimization
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12
https://math.stackexchange.com/questions/3940519/how-can-i-figure-out-the-non-differentiable-values-of-this-function
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https://math.stackexchange.com/questions/3940519/how-can-i-figure-out-the-non-differentiable-values-of-this-function
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13
https://math.dartmouth.edu/opencalc2/cole/lecture21.pdf
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https://math.dartmouth.edu/opencalc2/cole/lecture21.pdf
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14
https://calcworkshop.com/derivatives/continuity-and-differentiability/
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https://calcworkshop.com/derivatives/continuity-and-differentiability/
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15
https://www.quora.com/Why-is-a-function-not-differentiable-What-are-some-examples-on-corner-points
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https://www.quora.com/Why-is-a-function-not-differentiable-What-are-some-examples-on-corner-points
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16
https://mathinsight.org/nondifferentiable_discontinuous_partial_derivatives
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https://mathinsight.org/nondifferentiable_discontinuous_partial_derivatives
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17
https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-4/v/differentiability-at-a-point-graphical
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https://www.khanacademy.org/math/ap-calculus-ab/ab-differentiation-1-new/ab-2-4/v/differentiability-at-a-point-graphical
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18
https://juliadiff.org/ChainRulesCore.jl/dev/maths/nondiff_points.html
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https://juliadiff.org/ChainRulesCore.jl/dev/maths/nondiff_points.html
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19
https://en.wikipedia.org/wiki/Weierstrass_function
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https://en.wikipedia.org/wiki/Weierstrass_function
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20
https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/ch8.pdf
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https://www.math.ucdavis.edu/~hunter/intro_analysis_pdf/ch8.pdf
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21
https://www.mathsisfun.com/calculus/differentiable.html
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https://www.mathsisfun.com/calculus/differentiable.html
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22
https://ximera.osu.edu/mooculus/calculus1/master/derivativeAsAFunction/digInDifferentiabilityImpliesContinuity
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https://ximera.osu.edu/mooculus/calculus1/master/derivativeAsAFunction/digInDifferentiabilityImpliesContinuity
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23
https://www.johndcook.com/blog/2009/10/25/how-to-differentiate-a-non-differentiable-function/
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https://www.johndcook.com/blog/2009/10/25/how-to-differentiate-a-non-differentiable-function/
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24
https://andrescaicedo.files.wordpress.com/2014/10/a-n-singh-the-theory-and-construction-of-non-differentiable-functions.pdf
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https://andrescaicedo.files.wordpress.com/2014/10/a-n-singh-the-theory-and-construction-of-non-differentiable-functions.pdf
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25
https://www.onlinemath4all.com/how-to-prove-that-the-function-is-not-differentiable.html
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https://www.onlinemath4all.com/how-to-prove-that-the-function-is-not-differentiable.html
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26
https://math.wvu.edu/~kciesiel/prepF/147.ConvolutionEx.pdf
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https://math.wvu.edu/~kciesiel/prepF/147.ConvolutionEx.pdf
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27
http://www.ecourses.ou.edu/cgi-bin/ebook.cgi?topic=ma&chap_sec=02.3&page=theory
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http://www.ecourses.ou.edu/cgi-bin/ebook.cgi?topic=ma&chap_sec=02.3&page=theory
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28
https://stackoverflow.com/questions/60664875/can-i-use-automatic-differentiation-for-non-differentiable-functions
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https://stackoverflow.com/questions/60664875/can-i-use-automatic-differentiation-for-non-differentiable-functions
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29
http://sections.maa.org/epadel/awards/studentpaper/winners/2014_Hanson-Colvin.pdf
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http://sections.maa.org/epadel/awards/studentpaper/winners/2014_Hanson-Colvin.pdf
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30
https://www.jstor.org/stable/2300224
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https://www.jstor.org/stable/2300224
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31
https://www.cuemath.com/calculus/differentiable/
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https://www.cuemath.com/calculus/differentiable/
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32
https://www.tandfonline.com/doi/abs/10.1080/00029890.1927.11986751
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https://www.tandfonline.com/doi/abs/10.1080/00029890.1927.11986751
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33
https://www.brynmawr.edu/sites/default/files/migrated-files/2014_Hanson-Colvin-1.pdf
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https://www.brynmawr.edu/sites/default/files/migrated-files/2014_Hanson-Colvin-1.pdf
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34
https://www.sciencedirect.com/science/article/pii/S1631073X19302171
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https://www.sciencedirect.com/science/article/pii/S1631073X19302171
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35
http://papers.neurips.cc/paper/7799-reparameterization-gradient-for-non-differentiable-models.pdf
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http://papers.neurips.cc/paper/7799-reparameterization-gradient-for-non-differentiable-models.pdf
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36
https://arxiv.org/pdf/1505.06248
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https://arxiv.org/pdf/1505.06248
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37
https://fruty.io/2019/11/04/deep-learning-in-the-real-world-how-to-deal-with-non-differentiable-loss-functions/
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https://fruty.io/2019/11/04/deep-learning-in-the-real-world-how-to-deal-with-non-differentiable-loss-functions/
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38
http://www.math.uri.edu/~mcomerford/math141/Fall11/lesson13.pdf
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http://www.math.uri.edu/~mcomerford/math141/Fall11/lesson13.pdf
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39
https://news.ycombinator.com/item?id=21441273
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https://news.ycombinator.com/item?id=21441273
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40
https://www-users.cse.umn.edu/~jwcalder/104F14/weierstrass-function.pdf
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https://www-users.cse.umn.edu/~jwcalder/104F14/weierstrass-function.pdf
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41
https://math.libretexts.org/Under_Construction/Purgatory/Book%3A_Active_Calculus_(Boelkins_et_al.)/01%3A_Understanding_the_Derivative/1.07%3A_Limits_Continuity_and_Differentiability
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https://math.libretexts.org/Under_Construction/Purgatory/Book%3A_Active_Calculus_(Boelkins_et_al.)/01%3A_Understanding_the_Derivative/1.07%3A_Limits_Continuity_and_Differentiability
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42
https://www.ams.org/tran/1916-017-03/S0002-9947-1916-1501044-1/S0002-9947-1916-1501044-1.pdf
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https://www.ams.org/tran/1916-017-03/S0002-9947-1916-1501044-1/S0002-9947-1916-1501044-1.pdf
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43
https://www.kristakingmath.com/blog/when-is-a-curve-differentiable
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https://www.kristakingmath.com/blog/when-is-a-curve-differentiable
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44
https://inside.mines.edu/~mwakin/papers/wakin-spie-iams.pdf
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https://inside.mines.edu/~mwakin/papers/wakin-spie-iams.pdf
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45
https://bird.bcamath.org/bitstream/handle/20.500.11824/1047/Eceizabarrena%20-%20Some%20geometric%20properties%20of%20Riemann's%20non-differentiable%20function.pdf?sequence=1
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https://bird.bcamath.org/bitstream/handle/20.500.11824/1047/Eceizabarrena%20-%20Some%20geometric%20properties%20of%20Riemann's%20non-differentiable%20function.pdf?sequence=1
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46
https://www.whitman.edu/documents/Academics/Mathematics/2019/Vesneske-Gordon.pdf
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https://www.whitman.edu/documents/Academics/Mathematics/2019/Vesneske-Gordon.pdf
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47
https://mathoverflow.net/questions/344243/non-differentiable-lipschitz-functions
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https://mathoverflow.net/questions/344243/non-differentiable-lipschitz-functions
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48
https://www.zweigmedia.com/RealWorld/calctopic1/contanddiffb.html
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https://www.zweigmedia.com/RealWorld/calctopic1/contanddiffb.html
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49
https://cs.stanford.edu/people/wonyeol/papers/2020-neurips-poster.pdf
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https://cs.stanford.edu/people/wonyeol/papers/2020-neurips-poster.pdf
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50
http://ltu.diva-portal.org/smash/get/diva2:1022983/FULLTEXT01
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http://ltu.diva-portal.org/smash/get/diva2:1022983/FULLTEXT01
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51
https://www.physicsforums.com/threads/why-are-functions-not-differentiable-at-holes.703745/
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https://www.physicsforums.com/threads/why-are-functions-not-differentiable-at-holes.703745/
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52
https://mathbooks.unl.edu/Calculus/sec-1-7-lim-cont-diff.html
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https://mathbooks.unl.edu/Calculus/sec-1-7-lim-cont-diff.html
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53
https://www.wyzant.com/resources/answers/434729/give_an_example_of_a_continuous_function_which_is_not_differentiable_at_x_2
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https://www.wyzant.com/resources/answers/434729/give_an_example_of_a_continuous_function_which_is_not_differentiable_at_x_2
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54
https://vixra.org/pdf/1208.0237v1.pdf
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https://vixra.org/pdf/1208.0237v1.pdf
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55
https://www.doubtnut.com/question-answer/give-an-example-of-a-function-which-is-continuous-but-not-differentiable-at-a-point-1459418
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https://www.doubtnut.com/question-answer/give-an-example-of-a-function-which-is-continuous-but-not-differentiable-at-a-point-1459418
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56
https://www.tutor.com/resources/examples-of-non-differentiable-behavior--4926
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https://www.tutor.com/resources/examples-of-non-differentiable-behavior--4926
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57
https://www.math.fsu.edu/e-prints/archive/paper332.pdf
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https://www.math.fsu.edu/e-prints/archive/paper332.pdf
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58
https://math.colorado.edu/math1300/resources/oldlectures/LN2_6.pdf
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https://math.colorado.edu/math1300/resources/oldlectures/LN2_6.pdf
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59
https://www.mathworks.com/matlabcentral/answers/1828343-fmincon-optimizes-a-non-differentiable-function-how
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https://www.mathworks.com/matlabcentral/answers/1828343-fmincon-optimizes-a-non-differentiable-function-how
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60
http://ocw.oouagoiwoye.edu.ng/OcwExport/Akamai/18/18.013a/textbook/MathML/chapter06/section03.xhtml
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http://ocw.oouagoiwoye.edu.ng/OcwExport/Akamai/18/18.013a/textbook/MathML/chapter06/section03.xhtml
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61
https://dwaithe.github.io/blog_20170508.html
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https://dwaithe.github.io/blog_20170508.html
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62
https://www.stat.purdue.edu/~jianzhan/STAT598G/NOTES/subgradient.pdf
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https://www.stat.purdue.edu/~jianzhan/STAT598G/NOTES/subgradient.pdf
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63
http://www.m-hikari.com/ams/ams-2015/ams-41-44-2015/jumarieAMS41-44-2015.pdf
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http://www.m-hikari.com/ams/ams-2015/ams-41-44-2015/jumarieAMS41-44-2015.pdf
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64
https://math.nyu.edu/~cfgranda/pages/OBDA_fall17/notes/convex_nondifferentiable.pdf
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https://math.nyu.edu/~cfgranda/pages/OBDA_fall17/notes/convex_nondifferentiable.pdf
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65
https://calculus.subwiki.org/wiki/Derivative_of_differentiable_function_need_not_be_continuous
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https://calculus.subwiki.org/wiki/Derivative_of_differentiable_function_need_not_be_continuous
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66
https://discuss.pytorch.org/t/performing-backward-on-a-network-with-non-differentiable-module/7331
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https://discuss.pytorch.org/t/performing-backward-on-a-network-with-non-differentiable-module/7331
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67
https://www.lindo.com/doc/online_help/lingo16_0/smooth_vs__non_smooth_functions_.htm
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https://www.lindo.com/doc/online_help/lingo16_0/smooth_vs__non_smooth_functions_.htm
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68
https://planetmath.org/exampleofdifferentiablefunctionwhichisnotcontinuouslydifferentiable
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https://planetmath.org/exampleofdifferentiablefunctionwhichisnotcontinuouslydifferentiable
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69
https://www.nagwa.com/en/explainers/829130179249/
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https://www.nagwa.com/en/explainers/829130179249/
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70
https://www.idylium.com/wp-content/uploads/formidable/8/examples-of-continuous-but-not-differentiable-functions.pdf
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https://www.idylium.com/wp-content/uploads/formidable/8/examples-of-continuous-but-not-differentiable-functions.pdf
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71
https://projecteuclid.org/journals/proceedings-of-the-japan-academy-series-a-mathematical-sciences/volume-85/issue-8/On-the-critical-case-of-Okamotos-continuous-non-differentiable-functions/10.3792/pjaa.85.101.pdf
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https://projecteuclid.org/journals/proceedings-of-the-japan-academy-series-a-mathematical-sciences/volume-85/issue-8/On-the-critical-case-of-Okamotos-continuous-non-differentiable-functions/10.3792/pjaa.85.101.pdf
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72
https://www.amherst.edu/system/files/media/0664/211-multidiff.pdf
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https://www.amherst.edu/system/files/media/0664/211-multidiff.pdf
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73
https://math.berkeley.edu/~kaichieh/MATH1A/Hw/Notes.pdf
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https://math.berkeley.edu/~kaichieh/MATH1A/Hw/Notes.pdf
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74
https://aip.scitation.org/doi/10.1063/5.0011569
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https://aip.scitation.org/doi/10.1063/5.0011569
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75
https://www.varsitytutors.com/ap_calculus_ab-help/geometric-understanding-of-graphs-of-continuous-functions
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https://www.varsitytutors.com/ap_calculus_ab-help/geometric-understanding-of-graphs-of-continuous-functions
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76
https://people.alfred.edu/~calculusinitiative/Chapter_3/Section_5/Lesson.pdf
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https://people.alfred.edu/~calculusinitiative/Chapter_3/Section_5/Lesson.pdf
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77
https://openaccess.thecvf.com/content/ICCV2021/papers/Cole_Differentiable_Surface_Rendering_via_Non-Differentiable_Sampling_ICCV_2021_paper.pdf
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https://openaccess.thecvf.com/content/ICCV2021/papers/Cole_Differentiable_Surface_Rendering_via_Non-Differentiable_Sampling_ICCV_2021_paper.pdf
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78
https://towardsdatascience.com/ml-intro-6-reinforcement-learning-for-non-differentiable-functions-c75e1464c6b9
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https://towardsdatascience.com/ml-intro-6-reinforcement-learning-for-non-differentiable-functions-c75e1464c6b9
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79
https://jmag.ilt.kharkov.ua/jmag/pdf/14/jm14-0197e.pdf
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https://jmag.ilt.kharkov.ua/jmag/pdf/14/jm14-0197e.pdf
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80
https://www.toppr.com/ask/content/concept/differentiability-of-a-function-207989/
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https://www.toppr.com/ask/content/concept/differentiability-of-a-function-207989/
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81
https://users.math.msu.edu/users/gnagy/teaching/10-fall/mth234/w6-234-h.pdf
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https://users.math.msu.edu/users/gnagy/teaching/10-fall/mth234/w6-234-h.pdf
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82
https://eventuallyalmosteverywhere.wordpress.com/2012/02/18/remarkable-fact-about-brownian-motion-3-it-is-nowhere-differentiable/
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https://eventuallyalmosteverywhere.wordpress.com/2012/02/18/remarkable-fact-about-brownian-motion-3-it-is-nowhere-differentiable/
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83
http://webwork.uwyo.edu/CalcApplets/twicediff.html
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http://webwork.uwyo.edu/CalcApplets/twicediff.html
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84
https://www.chegg.com/learn/calculus/calculus/differentiable-functions
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https://www.chegg.com/learn/calculus/calculus/differentiable-functions
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85
https://ncert.nic.in/pdf/publication/exemplarproblem/classXII/mathematics/leep205.pdf
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https://ncert.nic.in/pdf/publication/exemplarproblem/classXII/mathematics/leep205.pdf
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86
https://www.math.ubc.ca/~CLP/CLP1/clp_1_dc/subsection-13.html
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https://www.math.ubc.ca/~CLP/CLP1/clp_1_dc/subsection-13.html
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87
http://mathonline.wikidot.com/differentiability-of-a-function
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http://mathonline.wikidot.com/differentiability-of-a-function
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88
https://www.cliffsnotes.com/study-guides/calculus/calculus/the-derivative/definition
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https://www.cliffsnotes.com/study-guides/calculus/calculus/the-derivative/definition
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89
https://www.reddit.com/r/askscience/comments/71c62a/why_are_nondifferentiable_continuous_functions/
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https://www.reddit.com/r/askscience/comments/71c62a/why_are_nondifferentiable_continuous_functions/
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https://github.com/apple/swift/blob/main/docs/DifferentiableProgramming.md
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https://www.expii.com/t/continuity-does-not-imply-differentiability-169
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http://homepages.math.uic.edu/~marker/math414/fs.pdf
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