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You will reduce finding the 5th root of a number to a 4 function arithmetic? This should be a nice trick. Are you suggesting people do a bottom up search from 0? Or some other mind blowing mathematical property of exponents and logarithms that the top minds in the field have somehow not realized?


You will reduce finding the 5th root of a number to a 4 function arithmetic?

Yes, magic isn't it. The 8 bit integer only processor in your handheld calculator does this all the time.

https://en.wikipedia.org/wiki/Newton%27s_method


Ah man, using Newton raphson to find a numerical root of a single number. Even Taylor series would’ve been an acceptable answer but this just looks like you searched “root finding” and pasted the first result here. The mistakes are just compounding the more you talk.

Not to mention you now have to do your nice little penny wise adjustment on each iteration of a root finding algo to keep it in the confines of your imaginary system. I can’t even.


Ah man. There is a recurring pattern here ---- first you tell me it can't be done. Then you tell me you don't like how I would do it.

You handheld calculator with it's 8 bit processor is proof that almost any mathematically function can be reduced to basic 4 function integer arithmetic.


I’m telling you you have no idea how anything works or why design choices are made in fields where you’re holding forth with an authority inversely proportional to your ignorance. Your very basic and ignorant idea of mathematics or modern finance isn’t worth my time. Especially if you think newton raphson should be any sort of standard for finding numerical roots in 2022. I shudder to think of how you’d approach a seemingly irrational exponent or something. Or how you’d incorporate something as simple as e^x. Would you use a rainbow table? The possibilities for abuse are truly endless.


Especially if you think newton raphson should be any sort of standard for finding numerical roots in 2022.

Nice straw man. I never proposed a standard --- only that it is possible.

But if you look too closely at whatever method you are using now --- you will likely find an algorithm that you will scoff at. There are only a handful of options and "magic" isn't one of them.

*Anything* a computer does is ultimately reduced down to the most basic mathematical functions using some sort of algorithm. The fact that you don't know it or see it doesn't mean it's not there.


I mean this is now an absurd conversation. You’re claiming you’ll break down all mathematical functions and convert them to work exclusively with integers instead of real numbers. So you’re proposing writing an entirely new mathematical standard and acting as though it can be achieved without any investment of time and effort because you’re able to demonstrate some simple calculation that has been done for several centuries by hand.

I’m not even sure how I’m still conversing on these absurdities despite noting them.




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