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/sci/ - Science & Math

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5778952 No.5778952 [Reply] [Original]

As far as I see there are only seven functions in Mathematics:
Add, subtract, multiply, divide, derive, integrate, adjust the number set.

of course you can simplify this further as the first six are just themselves and their inverse subsets. So that makes four.

Is every mathematical function really just a variation of combinations of these four?

>> No.5778965
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5778965

>not realizing everything is just addition

>> No.5778979
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5778979

>>5778965

OH GOD.

>> No.5778982

>adjust the number set

shit, what do you need any others for if you have this?

>> No.5778993

I don't think roots can be denoted in any more basic mathematical form, and since there are an infinite number of root functions the number of mathematical functions is also infinite.

>> No.5778991

>>5778965
This, unironically, for the first four things you listed.

>> No.5778996

>>5778993

>Not using fractional exponents

>> No.5779038

>>5778952
what about ceiling and floor, min and max (IIRC, tropical mathematics has min max for the additive element and addition for the multiplicative element of its algebra)

>> No.5779051

>>5779038

Aren't those just based on diminishing functions of addition/subtraction?

>> No.5779380

OP, if you are having thoughts along this line I suggest you read this book to expand your horizons a bit

http://www.amazon.com/Book-Abstract-Algebra-Second-Mathematics/dp/0486474178

>> No.5779385

>>5778965
>>5778979
>>5778991

Yeah.

There could be 8, if we just invent a new one. Of course it wouldnt necessarily have any purpose, or meaning.

>> No.5779393

>>5779385
It was actually proven, mathematically, that it's impossible to invent a new operation. It would just be a form of the other operations.

>> No.5779711

Welcome to assembly language.

>> No.5779776

Also Transforms like Fourier and Laplace

>> No.5779780

>>5779393
bogus

>> No.5779785

>>5778952

integration is the multiplication of a thing that is not constant.

>> No.5779790

functions are much more general than addition. a set doesnt need even need to have addition defined on it to have functions.
if i just give you a set A = {a,b,c} you can write out all the functions f: A->A without defining what addition means on this set

>> No.5779792

NAND, forall, membership, and class comprehension

>> No.5779803

How do you explain cohomology?

>> No.5779855

If a computer processor can add, negate, compare and conditionally branch, it could in theory be programmed to do any mathematical function that any computer can do.

But to say that simple functions are all there is to math is like saying the alphabet is all there is to writing. Music is just a number of basic notes repeated. Any painting can be made with only eight or nine colors. Every machine, no matter how complicated, is just a piece put on a piece over and over. Simple building blocks can form complex and often beautiful combinations.

>> No.5779887

>>5779790
Ok, but what you write is irrelevant and doesn't have any useful meaning. This is different for arithemtic and further for say homological algebra where you need arithmetic either. So basically these operations are necessary in the most of our mathematical structures which are any rich so far. And these arithemtic operations can be all determined via successors.

>> No.5779891

>>5779803
Dude holomological algebra was created to describe complicated structures in terms of simple abelian groups with simple addition and multiplication.

>> No.5779912

>>5778965

https://www youtube com/watch?v=BRRolKTlF6Q