/sci/ - Science & Math » Thread #12637612

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Anonymous Thu 28 Jan 15:01:49 2021 No.12637612 View Reply Original Report

Quoted By: >>12637634 >>12637639 >>12637653 >>12637771 >>12638730 >>12638770

Anonymous

Anonymous Thu 28 Jan 2021 15:15:36 No.12637634 Report

Quoted By:

>>12637612
expand what you mean by that notation

Anonymous

Anonymous Thu 28 Jan 2021 15:16:30 No.12637639 Report

Quoted By: >>12637687

>>12637612
f(a/b) =f o g (a, b), g(a, b) =a/b. Judging by this f is a function of one argument. Is there a function f that for any argument in the form of a fraction a/b will return a*b? I think no.

Anonymous

Anonymous Thu 28 Jan 2021 15:23:09 No.12637653 Report

Quoted By: >>12637687

>>12637612
this doesnt work. you cant reconstruct a and b from the value of a/b.

Anonymous

Anonymous Thu 28 Jan 2021 15:36:25 No.12637687 Report

Quoted By: >>12637786 >>12638768

>>12637639
>>12637639
>>12637653
$f(\frac{a}{b}) = ab$ exists if $\frac{a}{b}$ is reduced. Checkmate

Anonymous

Anonymous Thu 28 Jan 2021 16:04:37 No.12637771 Report

Quoted By: >>12637786

>>12637612
2 = 1*2 = f(1/2) = f(2/4) = 2*4 = 8

Anonymous

Anonymous Thu 28 Jan 2021 16:10:11 No.12637786 Report

Quoted By:

>>12637771
>>12637687

Anonymous

Anonymous Thu 28 Jan 2021 19:53:10 No.12638730 Report

Quoted By:

>>12637612
$f(\frac{a}{b})=ab$
$f(x)=b^2(x)$

Anonymous

Anonymous Thu 28 Jan 2021 19:58:30 No.12638768 Report

Quoted By:

>>12637687
>f(ab)=abf(ab)=ab exists if abab is reduced
that doesn't make any sense. checkmate

Anonymous

Anonymous Thu 28 Jan 2021 19:58:35 No.12638770 Report

Quoted By:

>>12637612
abs(b) = 1. Checkmate, faggot.

Anonymous

Anonymous Thu 28 Jan 2021 19:59:06 No.12638772 Report

Quoted By:

f(x)=x
a=b=1 or a=0

Anonymous

Anonymous Thu 28 Jan 2021 19:59:39 No.12638776 Report

Quoted By: >>12638803

shit tier function.

f(2) = f(2/1) = 2
f(2) = f(4/2) = 8

Can be generalized to show f(x) = all the values on (-inf,inf)

Anonymous

Anonymous Thu 28 Jan 2021 20:02:27 No.12638802 Report

Quoted By:

x=a/b

f(x)=a*b
f(x)=b^2 x

Anonymous

Anonymous Thu 28 Jan 2021 20:02:50 No.12638803 Report

Quoted By: >>12638825 >>12639035

>>12638776
What if we require a/b to be a rational only in simplest form?

Anonymous

Anonymous Thu 28 Jan 2021 20:05:30 No.12638825 Report

Quoted By:

>>12638803
f(a/b) = ab/gcd(a,b)^2

Anonymous

Anonymous Thu 28 Jan 2021 20:39:31 No.12639035 Report

Quoted By:

>>12638803
In that case it's a function but not a particularly well-behaved one.

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