Need a complete list of functions and thier inverses


by Jeff12341234
Tags: functions, inverses, list, thier
Jeff12341234
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#1
Feb6-13, 05:11 PM
P: 179
I can't find this anywhere on google.

I'm looking for a complete list of functions and their inverses.
Here's a partial list as an example
*, /
+, -
e^x, ln(x)
sin(), sin^-1()
d/dx, ∫
etc..

Why isn't there a list of all of them? You would think that some mathematician would find joy in compiling one...
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Vorde
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#2
Feb6-13, 05:24 PM
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Assuming......just assuming.......that you aren't trolling.

There are an infinite amount of functions, and I'm going to take a gander and say that the vast majority of them do not have inverses.

There are, however, a relativity short list of 'common' functions, and I'm sure it is very easy to google a list of their inverses, though you've listed a number already.

I'll stress here that neither ##\frac{d}{dx}## nor ##\int## are functions, though they are inverse operations.
Nor are multiplication, division, addition or subtraction, they are all operations.
micromass
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#3
Feb6-13, 05:25 PM
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There are [itex]2^{2^{\aleph_0}}[/itex] functions from [itex]\mathbb{R}\rightarrow \mathbb{R}[/itex]

This means that the number of functions from [itex]\mathbb{R}[/itex] to [itex]\mathbb{R}[/itex] is not only infinite, but a number of degrees above the smallest possible infinity.

Thus, I fear that a complete list of functions would not be very feasible.

If you want a list of all possible function between all possible sets. Then I'm afraid that they don't even form a set. The number of functions form a proper class. This means that is quite larger than anything mathematics can handle. So a list would be rather impossible.

micromass
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#4
Feb6-13, 05:28 PM
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Need a complete list of functions and thier inverses


Quote Quote by Vorde View Post
I'll stress here that neither ##\frac{d}{dx}## nor ##\int## are functions, though they are inverse operations.
Nor are multiplication, division, addition or subtraction, they are all operations.
I would actually consider all those things as functions...
Jeff12341234
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#5
Feb6-13, 05:29 PM
P: 179
Quote Quote by Vorde View Post
Assuming......just assuming.......that you aren't trolling.

I'll stress here that neither ##\frac{d}{dx}## nor ##\int## are functions, though they are inverse operations.
Nor are multiplication, division, addition or subtraction, they are all operations.
ok. then what I'm looking for is a complete list of opposite operations.
micromass
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#6
Feb6-13, 05:33 PM
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Quote Quote by Jeff12341234 View Post
ok. then what I'm looking for is a complete list of opposite operations.
Still too large (= infinity).
Jeff12341234
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#7
Feb6-13, 05:43 PM
P: 179
no it's not. There are a few dozen we learn in algebra, another dozen from trig, only 2 from calc (d/dx and ∫ ), diff eq may add more to the list but I didn't notice any. you see? Get real. The question is not that hard. A list of opposite functions would be handy to have when solving for a variable in a complex algebraic equation.
micromass
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#8
Feb6-13, 05:47 PM
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Quote Quote by Jeff12341234 View Post
no it's not. There are a few dozen we learn in algebra, another dozen from trig, only 2 from calc (d/dx and ∫ ), diff eq may add more to the list but I didn't notice any. you see? Get real. The question is not that hard
So, you are saying that there are only a finite number of bijective functions in existence? Do you have any proof/evidence for that?
micromass
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#9
Feb6-13, 05:49 PM
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Anyway, the OP is just a troll, so I'm locking this.


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