High precision calculator

[1] 2018/10/16 04:13 Male / Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of use

I used the calculator to find out how many books does the "the library of babel" (https://libraryofbabel.info) has.
There are 29 letters that they use. including the English alphabet , . and the spacebar.
3600 letters can fit onto 1 page and there are 410 pages per book.using the simple calculation of 29^(3600*410) i tried to calculate the number. yet all calculators i used just either gave me "error" or "infinity". but this really helped. btw the answer is 2.785472397420841399019E+2158499

Comment/Request

This really helped me.Gave me an answer when all other calculators couldn't.

[2] 2018/10/14 03:39 Male / 30 years old level / An office worker / A public employee / Very /

Purpose of use

To work out if it can deal with extreme physical constants, e.g. how much Tellurium 128 decays in 1 planck time. That is the longest known half life of known unstable element, 70.9*10^30 seconds. The answer was obtained by calculating:-

0.5^((5.39*10^(-44))/(70.9*10^(30)))

and the approximate result was tested back by calculating:-

(1-10^(-75.269482797204661802199))^((70.9*10^30)/(5.39*10^(-44)))

Which leads to about 49.29 (not expected to be exactly 0.5 because I did not use the exact answer, I just did a ballpark value close to the answer).

This level of precision looked easy to this website, but it could not be done in programming using int64 type. Amazing!

[3] 2018/10/04 02:48 Male / Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of use

Find cubed root of 100+ digit number

[4] 2018/10/01 15:21 Female / Under 20 years old / High-school/ University/ Grad student / A little /

Purpose of use

Calculating a value for an online contest

Comment/Request

The return value was simply Error. I assume that my input numbers were too big.

[5] 2018/09/29 06:48 Female / 20 years old level / High-school/ University/ Grad student / Very /

Purpose of use

Determine the value of a function for various values of x, and return answers with an accuracy to five decimal places (without buying a scientific calculator)

[6] 2018/09/27 01:38 Male / Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of use

Find out the EXACT mass of 1 nitrogen atom

[7] 2018/09/23 15:01 Male / Under 20 years old / High-school/ University/ Grad student / Useful /

Bug report

Input: sum_f(0, 1000, (-1)^x*combination(1000, x))

Result: -5.96195795394423325153537705043489850886208695946146440163631364746069844269067635718880396863621307747E+199

Correct result: 0

Proof: For any positive integer n>=1,
sum_f(0, n, (-1)^x*combination(n, x))
= sum_f(0, n, (-1)^x*combination(n, x)*1^(n-x))
= (1-1)^n {binomial theorem}
= 0

This calculator has very high precision, but not arbitrary precision, which would be handy to have. The system clearly fails for big numbers; the given result and the correct one are nowhere near close. If you can''t make it infinitely precise, at least notice users of the range of calculation that the system can handle correctly.

[8] 2018/09/22 02:22 Male / Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of use

Verify theorems for big numbers

Comment/Request

Thanks for this.

[9] 2018/09/20 11:01 Male / Under 20 years old / High-school/ University/ Grad student / Very /

Purpose of use

Calculation that required a huge precision (35+ digits)

[10] 2018/09/19 19:14 Male / Under 20 years old / Elementary school/ Junior high-school student / Very /

Purpose of use

For problem that have fractions and are to big to put in a normal caculator.

Comment/Request

Very useful but takes a bit of time.

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