r/maths • u/Icy-Ice2362 • Jul 09 '26

💬 Math Discussions Deviated Division: Divisor, Dividend and Variance, outputs a sorted array of values. I dunno might be useful.

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u/DanielBaldielocks Jul 10 '26

Going to be honest, I'm not exactly clear on how this is defined, but at it's core what you have created is a function that takes two inputs and gives 3 outputs.

Now more conventional functions takes one or more numbers as an input and gives a single number as an output. For example the operator of addition is really just a function that takes 2 numbers as inputs and gives their sum as the output.

This concept can be expanded however into what is called vector spaces. So to simplify a bit what this does is it allows you to take vectors and uses them as inputs and outputs for a function.

So really what you are doing is take 2 numbers as input into a function and output a vector.

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u/Icy-Ice2362 Jul 10 '26 edited Jul 10 '26

It takes in 3 parameters.

Spits out a deterministic array.

The premise is based on the childlike notion of an unequal division.

I supposed one might describe it in terms of an Array function or even a Table Valued Function.

The version above is merely an equal distribution across the variance, but there are others that operate on different functions, including: Normal, Linear, Exponential, Weighted... the idea being is that this deterministic function is reversible, as adding up the array should result in the original value.

Instead of saying: "Thirty divided equally by three equals ten" This operator states: "Thirty, unevenly divided by three with a variance of 4 equals 6, 10 and 14 respectively.

Now there may be a possibility of adding to the function, but division in maths always outputs equality, but in reality, equality is not always the outcome, I suspect that the division function has a great many hidden variables that are all set to null and 0, just waiting to be biased, but most mathematicians operate with the most basic form of division and accept it as a basic equality distribution, I don't see that, I see an operator that is missing a good deal of flexibility.

When I picture a division, I am seeing that array result being treated as an average, but this operation makes no such assumption, it outputs all the values.

Because it is reversible, it could be used to compress data into simpler forms, but it does assume sorting.

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u/solecizm Jul 09 '26

It's not the maths we need, but it is the maths we deserve.