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Google Keyword Rankings for : subtract with borrow random
1
https://en.wikipedia.org/wiki/Subtract_with_carry
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https://en.wikipedia.org/wiki/Subtract_with_carry
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2
https://arxiv.org/abs/1705.03123
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https://arxiv.org/abs/1705.03123
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3
https://www.sciencedirect.com/science/article/pii/S0010465517302916
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https://www.sciencedirect.com/science/article/pii/S0010465517302916
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4
https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/0850-07.pdf
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https://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/pdf/0850-07.pdf
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5
https://www.semanticscholar.org/paper/A-revision-of-the-subtract-with-borrow-random-Sibidanov/35668e4724fe43607af5578fa0b63e9a51fd5943
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https://www.semanticscholar.org/paper/A-revision-of-the-subtract-with-borrow-random-Sibidanov/35668e4724fe43607af5578fa0b63e9a51fd5943
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6
https://www.dummies.com/article/academics-the-arts/math/basic-math/how-to-borrow-when-subtracting-191324/
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https://www.dummies.com/article/academics-the-arts/math/basic-math/how-to-borrow-when-subtracting-191324/
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7
https://dl.acm.org/doi/abs/10.1145/159737.159749
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https://dl.acm.org/doi/abs/10.1145/159737.159749
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8
https://www.researchgate.net/publication/221529552_Analysis_of_add-with-carry_and_subtract-with-borrow_generators
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https://www.researchgate.net/publication/221529552_Analysis_of_add-with-carry_and_subtract-with-borrow_generators
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9
https://www.mathswithmum.com/column-subtraction-of-three-digit-numbers-with-borrowing-twice/
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https://www.mathswithmum.com/column-subtraction-of-three-digit-numbers-with-borrowing-twice/
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10
https://projecteuclid.org/journals/annals-of-applied-probability/volume-1/issue-3/A-New-Class-of-Random-Number-Generators/10.1214/aoap/1177005878.full
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https://projecteuclid.org/journals/annals-of-applied-probability/volume-1/issue-3/A-New-Class-of-Random-Number-Generators/10.1214/aoap/1177005878.full
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11
http://staff.fysik.su.se/~walck/suf9402.ps.gz
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http://staff.fysik.su.se/~walck/suf9402.ps.gz
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12
https://help.palisade.com/v8/en/@RISK/Simulation-Process/Random-Number-Generators.htm
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https://help.palisade.com/v8/en/@RISK/Simulation-Process/Random-Number-Generators.htm
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13
https://www.jstor.org/stable/2959748
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https://www.jstor.org/stable/2959748
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14
https://people.math.sc.edu/Burkardt/f_src/random_write/random_write.f90
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https://people.math.sc.edu/Burkardt/f_src/random_write/random_write.f90
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15
https://stackoverflow.com/questions/54701777/can-you-replicate-matlabs-older-pseudo-random-number-generators-in-python
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https://stackoverflow.com/questions/54701777/can-you-replicate-matlabs-older-pseudo-random-number-generators-in-python
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16
https://www.edboost.org/practice/fraction-subtraction-unlike-denominators-borrowing
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https://www.edboost.org/practice/fraction-subtraction-unlike-denominators-borrowing
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17
https://www.math-salamanders.com/subtraction-with-regrouping-worksheet.html
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https://www.math-salamanders.com/subtraction-with-regrouping-worksheet.html
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18
https://www.somesolvedproblems.com/2021/10/how-do-you-subtract-binary-numbers.html
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https://www.somesolvedproblems.com/2021/10/how-do-you-subtract-binary-numbers.html
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19
https://www.wyzant.com/resources/lessons/math/elementary_math/subtraction/subtracting_with_borrowing/
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https://www.wyzant.com/resources/lessons/math/elementary_math/subtraction/subtracting_with_borrowing/
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20
https://root.cern/doc/master/classROOT_1_1Math_1_1RanluxppEngine.html
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https://root.cern/doc/master/classROOT_1_1Math_1_1RanluxppEngine.html
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21
https://idevbooks.com/apps/subtraction.php
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https://idevbooks.com/apps/subtraction.php
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22
http://jglobal.jst.go.jp/en/public/200902164534170500
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http://jglobal.jst.go.jp/en/public/200902164534170500
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23
https://www.mathworks.com/help/matlab/ref/randstream.list.html
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https://www.mathworks.com/help/matlab/ref/randstream.list.html
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24
https://github.com/lowRISC/opentitan/issues/3386
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https://github.com/lowRISC/opentitan/issues/3386
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25
https://christoph-conrads.name/faster-ranlux-pseudo-random-number-generators/
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https://christoph-conrads.name/faster-ranlux-pseudo-random-number-generators/
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26
http://www.ciphersbyritter.com/NEWS4/RANDC.HTM
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http://www.ciphersbyritter.com/NEWS4/RANDC.HTM
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27
https://www.allacronyms.com/subtract_with_borrow/abbreviated
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https://www.allacronyms.com/subtract_with_borrow/abbreviated
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28
https://link.springer.com/article/10.1007/s41781-019-0034-3
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https://link.springer.com/article/10.1007/s41781-019-0034-3
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29
https://www.k5learning.com/free-math-worksheets/third-grade-3/subtraction/subtract-4-digit-numbers-with-regrouping
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https://www.k5learning.com/free-math-worksheets/third-grade-3/subtraction/subtract-4-digit-numbers-with-regrouping
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30
https://www.education.com/worksheet-generator/math/subtraction/
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https://www.education.com/worksheet-generator/math/subtraction/
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31
https://www.smlnj.org/doc/smlnj-lib/Util/str-Random.html
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https://www.smlnj.org/doc/smlnj-lib/Util/str-Random.html
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32
https://www.geeksforgeeks.org/8086-program-subtract-two-16-bit-numbers-without-borrow/
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https://www.geeksforgeeks.org/8086-program-subtract-two-16-bit-numbers-without-borrow/
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33
https://kyushu-u.pure.elsevier.com/ja/publications/on-the-lattice-structure-of-the-add-with-carry-and-subtract-with-
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https://kyushu-u.pure.elsevier.com/ja/publications/on-the-lattice-structure-of-the-add-with-carry-and-subtract-with-
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34
https://www.youtube.com/watch?v=dQMQMvU4GT0
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https://www.youtube.com/watch?v=dQMQMvU4GT0
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35
https://www.wikihow.com/Subtract-Thousands
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https://www.wikihow.com/Subtract-Thousands
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36
https://wordwall.net/en-gb/community/2-digit-subtraction
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https://wordwall.net/en-gb/community/2-digit-subtraction
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37
https://www.wordreference.com/definition/borrowing
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https://www.wordreference.com/definition/borrowing
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38
https://pballew.blogspot.com/2020/01/subtraction-borrowing-carrying-and.html
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https://pballew.blogspot.com/2020/01/subtraction-borrowing-carrying-and.html
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39
https://calccrypto.github.io/sst-macro/rng_8h.html
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https://calccrypto.github.io/sst-macro/rng_8h.html
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40
https://www.math-drills.com/subtraction.php
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https://www.math-drills.com/subtraction.php
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41
https://www.iro.umontreal.ca/~lecuyer/myftp/papers/testu01.pdf
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https://www.iro.umontreal.ca/~lecuyer/myftp/papers/testu01.pdf
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42
https://onlinelibrary.wiley.com/doi/pdf/10.1207/s15516709cog0502_3
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https://onlinelibrary.wiley.com/doi/pdf/10.1207/s15516709cog0502_3
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43
https://www.codeproject.com/Articles/1276309/Multiple-Precision-Arithmetic-Subtraction-Algorith
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https://www.codeproject.com/Articles/1276309/Multiple-Precision-Arithmetic-Subtraction-Algorith
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44
https://math.stackexchange.com/questions/1270754/subtraction-when-second-number-is-bigger-than-first-number
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https://math.stackexchange.com/questions/1270754/subtraction-when-second-number-is-bigger-than-first-number
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45
https://spreadsheetsolving.com/tag/addition/
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https://spreadsheetsolving.com/tag/addition/
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46
https://wiki.freepascal.org/Marsaglia%27s_pseudo_random_number_generators
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https://wiki.freepascal.org/Marsaglia%27s_pseudo_random_number_generators
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47
https://madformath.com/calculators/basic-math/basic-operations/subtraction-calculator-with-steps/subtraction-calculator-with-steps
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https://madformath.com/calculators/basic-math/basic-operations/subtraction-calculator-with-steps/subtraction-calculator-with-steps
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48
https://scholar.google.com.au/citations?user=WYcqe_kAAAAJ&hl=th
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https://scholar.google.com.au/citations?user=WYcqe_kAAAAJ&hl=th
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49
https://www.quora.com/Why-doesnt-the-borrowing-method-work-when-subtracting-a-larger-number-from-a-smaller-number-For-example-341-573-does-not-equal-368
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https://www.quora.com/Why-doesnt-the-borrowing-method-work-when-subtracting-a-larger-number-from-a-smaller-number-For-example-341-573-does-not-equal-368
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50
http://www.righto.com/2012/12/the-6502-overflow-flag-explained.html
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http://www.righto.com/2012/12/the-6502-overflow-flag-explained.html
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51
https://www.calculator.net/hex-calculator.html
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https://www.calculator.net/hex-calculator.html
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52
https://www.weareteachers.com/subtraction-activities/
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https://www.weareteachers.com/subtraction-activities/
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53
https://courses.lumenlearning.com/wm-accountingformanagers/chapter/addition-subtraction-multiplication-and-division-with-whole-numbers/
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https://courses.lumenlearning.com/wm-accountingformanagers/chapter/addition-subtraction-multiplication-and-division-with-whole-numbers/
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54
https://www.math-aids.com/Fractions/
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https://www.math-aids.com/Fractions/
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55
https://www.tiktok.com/discover/how-to-subtract-and-borrow-with-zero
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https://www.tiktok.com/discover/how-to-subtract-and-borrow-with-zero
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56
https://www.sciencenews.org/article/bias-random-number-generators
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https://www.sciencenews.org/article/bias-random-number-generators
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57
https://cds.cern.ch/record/254666/files/CN-93-13.pdf
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https://cds.cern.ch/record/254666/files/CN-93-13.pdf
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58
http://www.cburch.com/logisim/docs/2.3.0/libs/arith/subtractor.html
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http://www.cburch.com/logisim/docs/2.3.0/libs/arith/subtractor.html
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59
https://uploads-ssl.webflow.com/5ae15464fe16ad7f9a6faaea/5bba879a28dfc3221c95cd69_Free%20addition%20and%20subtraction%20worksheets.pdf
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https://uploads-ssl.webflow.com/5ae15464fe16ad7f9a6faaea/5bba879a28dfc3221c95cd69_Free%20addition%20and%20subtraction%20worksheets.pdf
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60
https://www.frontiersin.org/articles/10.3389/fpsyg.2018.01209/full
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https://www.frontiersin.org/articles/10.3389/fpsyg.2018.01209/full
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61
https://www.academia.edu/34488538/Syntax_and_Semantics_in_Learning_to_Subtract
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https://www.academia.edu/34488538/Syntax_and_Semantics_in_Learning_to_Subtract
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62
https://www.c64-wiki.com/wiki/SBC
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https://www.c64-wiki.com/wiki/SBC
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63
https://www.abkuerzungen.org/abkuerzung-12754.html
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https://www.abkuerzungen.org/abkuerzung-12754.html
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64
https://www.coursehero.com/file/21144844/01-fractions-estimate-exact-093016/
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https://www.coursehero.com/file/21144844/01-fractions-estimate-exact-093016/
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65
http://candcplusplus.com/c11-subtract-with-carry-engine-random-number-generator
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http://candcplusplus.com/c11-subtract-with-carry-engine-random-number-generator
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66
https://dave.com/extra-cash
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https://dave.com/extra-cash
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67
https://www.typescriptlang.org/docs/handbook/advanced-types.html
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https://www.typescriptlang.org/docs/handbook/advanced-types.html
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68
https://www.smartick.com/blog/mathematics/addition-and-subtraction/subtract-borrowing/
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https://www.smartick.com/blog/mathematics/addition-and-subtraction/subtract-borrowing/
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69
https://rosettacode.org/wiki/subtractive_generator
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https://rosettacode.org/wiki/subtractive_generator
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70
https://einfach-praesent.de/related-rates-calculator-sphere.htm
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https://einfach-praesent.de/related-rates-calculator-sphere.htm
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71
https://books.google.com/books?id=KJzlBwAAQBAJ&pg=PA233&lpg=PA233&dq=subtract+with+borrow+random&source=bl&ots=ySuvS3Oj7L&sig=ACfU3U3ct97Quee6JKk7hGEyeMGnX2xTag&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiOAhAD
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https://books.google.com/books?id=KJzlBwAAQBAJ&pg=PA233&lpg=PA233&dq=subtract+with+borrow+random&source=bl&ots=ySuvS3Oj7L&sig=ACfU3U3ct97Quee6JKk7hGEyeMGnX2xTag&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiOAhAD
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72
https://books.google.com/books?id=qiDvBwAAQBAJ&pg=PA120&lpg=PA120&dq=subtract+with+borrow+random&source=bl&ots=YBjX5pP8fG&sig=ACfU3U0u8MI6BuoKEWYUcdSSxJ3j1horyw&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiPAhAD
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https://books.google.com/books?id=qiDvBwAAQBAJ&pg=PA120&lpg=PA120&dq=subtract+with+borrow+random&source=bl&ots=YBjX5pP8fG&sig=ACfU3U0u8MI6BuoKEWYUcdSSxJ3j1horyw&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiPAhAD
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73
https://michaelskibbe.de/math-powerpoint.htm
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https://michaelskibbe.de/math-powerpoint.htm
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74
http://acridia.com/mcj8z/inateck-drivers.html
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http://acridia.com/mcj8z/inateck-drivers.html
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75
https://birseyyaz.com/92033-30-personal-finance-tips-you-need-to-know/
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https://birseyyaz.com/92033-30-personal-finance-tips-you-need-to-know/
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76
https://player.fm/series/pelvic-pt-rising/ticklish-patients-are-no-laughing-matter
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https://player.fm/series/pelvic-pt-rising/ticklish-patients-are-no-laughing-matter
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77
https://cplusplus.com/reference/random/subtract_with_carry_engine/
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https://cplusplus.com/reference/random/subtract_with_carry_engine/
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78
https://actuallyhandaround.de/video/9/702029637.html
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https://actuallyhandaround.de/video/9/702029637.html
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79
https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/introduction-to-regrouping-borrowing
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https://www.khanacademy.org/math/early-math/cc-early-math-add-sub-100/subtraction-within-100/v/introduction-to-regrouping-borrowing
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80
https://books.google.com/books?id=EYpHAQAAMAAJ&pg=RA3-PA234&lpg=RA3-PA234&dq=subtract+with+borrow+random&source=bl&ots=y-6U9HwVqV&sig=ACfU3U0w-0tDs0p6gz8TcSxyNp7oKANrkQ&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiMAhAD
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https://books.google.com/books?id=EYpHAQAAMAAJ&pg=RA3-PA234&lpg=RA3-PA234&dq=subtract+with+borrow+random&source=bl&ots=y-6U9HwVqV&sig=ACfU3U0w-0tDs0p6gz8TcSxyNp7oKANrkQ&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiMAhAD
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81
https://books.google.com/books?id=8vZWulDU3MMC&pg=PA581&lpg=PA581&dq=subtract+with+borrow+random&source=bl&ots=W1s_FXDpTq&sig=ACfU3U3fYRzrRyDZhm5ZVdkbfmoFSOsveA&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiNAhAD
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https://books.google.com/books?id=8vZWulDU3MMC&pg=PA581&lpg=PA581&dq=subtract+with+borrow+random&source=bl&ots=W1s_FXDpTq&sig=ACfU3U3fYRzrRyDZhm5ZVdkbfmoFSOsveA&hl=en&sa=X&ved=2ahUKEwjElbvKj9P7AhXPM0QIHRkZA1wQ6AF6BQiNAhAD
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