I am looking for a web app or else a windows app that implements a
theory I have for calculating normality or abnormality (evenness or
unevenness of distribution of decimal-place digits) in numbers.
The app would accept three inputs:
1. a numerator (which, depending on how advanced the software, may be
the product of an inputted calculation or else it has to be a literal
value) which is to have its (ab)normality measured
2. the number of denominators it runs tests with (which gets
multiplied by two, to deviate positively and negatively from the
numerator in equal amounts).
3. The precision (number of decimal places) that the calculations
use. The higher the number, the more precision.
4. (optional) choice of base number system, e.g. binary, decimal, etc.
Let's say the numerator is 592 and I choose ten denominators (a span
of 20, between 582 and 602).
It would start with the first number that is 1 greater than the
numerator, and divide the numerator with that denominator. I.e.
592/593.
It would calculate the result to an ideally large number (user choice,
let's say, 20,000) of decimal places, such that it can achieve a
distribution of numbers that gravitates (or is expected to gravitate)
toward a mean distribution.
It would then measure the distribution by counting the frequency of
occurrence of each number.
It would then make a calculation that is the frequency of occurrence
of each of the 10 possible digits, divided by the number of decimal
places (in this example, 20,000). In a normal number computation like
pi, each digit occurs with a near-to-10% chance for each of the digits
in base 10.
Second-to-last, it subtracts the most-occurring-number frequency (%)
from the least occurring frequency.
In the case of 592/593, 6, the most occurring digit, occurs with a
10.1% chance, and 5, the least occurring digit, occurs with a 9.9%
chance. Subtract 10.1% from 9.9% and you get 0.2%. This 0.2% is
called the products' abnormality.
In this case we chose 10 denominators (we could choose a thousand, or
a million, however many tests we wish to run!). So 592/594 is next,
and then 592/595 and so on. When it reaches 592/602 it goes on to do
the less-than-numerator denominators: starting with 592/591 and then
ending with 592/582.
At the end of this we will have a set of 20 measurements of
abnormality of the product.
Final step: we calculate the mean average of all the (ab)normality
results for the given numerator. The HOPE is that this metric is how
'pattern-rich/fertile' said numerator is. The more tests you run, the
more precise this result will be.
EDIT:
I wish for three outputs:
numerator greater than denominator calculations
denominator greater than numerator calculations
mean average of all abnormality results.
Hello
I am Windows Desktop application developer with over 20 years of experience
and I have experience with building Web apps too.
Also, I have strong mathematical background.
I am able to start ASAP
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Hi!
I am an expert algorithmist and mathematician. I have qualified for world finals for ACM ICPC and have gone deep in project euler problems.
I can create this program in python, but if you request I can do this in other languages too or just provide an exe.
Because of my expertise in algorithms, I can create a program that could potentially do this thousands of times faster than one written in a poor way.
let me know if you are interested in working with me!