Redpill me on algebraic operations

>>8866873
They're on a spectrum

>>8866873
Simply put, when algebra was first invented by the Arabs, it was thought that algebraic operations (addition, multiplication, etc) were binary and reversible. However, with modern computing available to use, we now know that other methods can be used to solve these binary operations. Basically, algebra is a spectrum

I have devised a new kind of algebra.
You know the usual story, algebra is finding solutions for equations with set operators. a + b = c you know the deal.
Well, my algebra is a sort of "reverse algebra" in which the numbers are known but the operators are unknown: 5 a 2 = 10 where a is an unknown operator. we can solve this equation and figure out a = *.
I am writing my paper in word as we speak. I am very excited to present this novel new algebra and expect the paper in the annals soon.

>>8866901
give this man nobel prize

>>8866873
Algebra is a vast spectrum

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>>8866901

>>8866901
just remember to express this in terms of category theory.

>>8866901
What real world applications would this have?

>>8867323
Without those laws and procedure to identify / create new mathematical objects, you wouldn't have all the background mathematicals formula required to back up programation/physics etc..
Exemple : spatial rotation (with quaternion) are based on a different multiplication law on matrix (again different multplication law), rotation that cannot be perfectly made without them

>>8867323
If you know the input and output of a system, you can derive its behavior

>>8867363
>>8867335
>>8867323
system identification

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>>8866873