is there a mathematical explanation for this?
explain the prob of 12 times zero in series part?
1/81 = (1/9)^2
= (0.111...)^2
= something about infinite sums
>>8016013
thats just a trashy calculation for assumption of random distribution of numbers in a run. 10^(-12) * 100%
>>8016000
just a reminder that excel is not always to be trusted when working with numbers containing lots of digits, due to issues with decimal binary conversion
https://en.wikipedia.org/wiki/Numeric_precision_in_Microsoft_Excel
>>8016014
thx. scary stuff, checked up some other numbers.
>>8016026
i know
Protip: Computers are not magic. They cannot perform floating-point operations on arbitrarily/infinitely many digits.
>>8016000
there is a video on numberphile about it, covers exactly that and some more
inb4 >numberphile
>>8017112
>recommending numberphile
kull youryelf
Floating point calculations can't be exact.
Try 0.2 + 0.1 in any programming language, it gives something like 0.300000004.
A floating point number is usually represented through a 32 bits register divided into three parts:
* 1 bit for the sign, which can be + or -
* N bits for the exponent (I think it's 7 or 8 but I'm not sure)
* 32 - N - 1 bits for the mantissa (I think it's 23 bits)
The mantissa represents a binary fixed-point number in the form 1.X, where X are the 23 bits actually present (the first 1 is assumed to always be there). Then, this 1.X is multiplied by 2^exponent.
Now, numbers which have infinite decimals in binary are not the same as those which have infinite decimals in binary. Therefore, because you don't have infinite bits in a floating point register, calculations involving such numbers will inevitably yield inaccurate results.
Another source for accuracy loss is operating large and small numbers at the same time, because most digits of the large number will be lost.
Is it true that for any base-[math]n[/math] number system, the expansion of the fraction [math]\frac{1}{(n-1)^2}[/math] will have a repeating period consisting of all [math]n[/math] digits of that number system, in sequence?
>>8017112
>numberphlie
he asked for a mathematical explanation not a fucking autistic reddit explanation
