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What mathematical operators, functions, and constants are mentioned in the Halachah besides addition, subtraction, multiplication, and division?

For example: powers and square or other roots, Pi etc.

Al Berko
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    I think you may need to narrow the scope of this question. There are all sorts of fractions that abound. Start with ma'aser - that's a fraction! I don't think halacha deals with imaginary numbers unless you care to call the amount of grain that Yosef stored for the eventual famine an "imaginary" number. – DanF Apr 03 '19 at 15:10
  • @DanF I don't think there are so many, after all. I don't mean 1/2 and 1/3 and 2/3 etc. Just simple fractions, but not decimals for example. – Al Berko Apr 03 '19 at 15:14
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    Decimals are fractions. – Heshy Apr 03 '19 at 15:27
  • @Heshy Decimals are part of the decimal system, not just fractions. – Al Berko Apr 03 '19 at 15:32
  • @AlB no, decimals are really just fractions. It's just a shorthand notation for fractions whose denominator is a power of 10 since those are commonly used – Double AA Apr 03 '19 at 15:38
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    You can read about many mathematical constants used in Judaism at the ongoing [tag:mi-yodeya-series] where we have covered hundreds of mathematical constants already – Double AA Apr 03 '19 at 15:42
  • @DoubleAA Those are simple numbers. By constants I mean constants like Pi not numbers. – Al Berko Apr 03 '19 at 15:45
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    Pi is definitely a number too and 12 is definitely a constant. Have you taken high school level math? College level? – Double AA Apr 03 '19 at 15:45
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    Isn't any number considered a "constant"? I think you mean rational vs. irrational - that's a different story. If that's what you mean, edit that into your question. – DanF Apr 03 '19 at 16:40
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    Well, sometimes you need nontrivial math. Mishna: If there are 40 seahs of suitable water in a mikvah, and a seah of unsuitable liquid is put in, and then a seah of the resulting mixture is removed, the mikvah is still valid [Mikvaot 7:2]. This may be repeated until the majority of the liquid in the mikvah is unsuitable. [Yevamot 82b]

    Question:How many times can you repeat this process before the mikvah becomes unsuitable? Answer: You can repeat the operation up to a number of times equal to the largest integer smaller than n, where n is given by: 40x(40/41)^n = 20. So n=28.

    – Maurice Mizrahi Apr 03 '19 at 17:03

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