# Have I just invented a new axiom?

1. Jan 27, 2016

### CasualCalculus

I doubt it but I was doing some work on trying to remove time from Classical Physics (just for the hell of it) and I came across a formula that made me go "huh, not seen that before, but it's kind of neat."

Just out of curiousity has anyone seen this formula before?

X = √ ((X/2Π) * (X*2Π))

2. Jan 27, 2016

### Staff: Mentor

If you mean $x = \sqrt{\frac{x}{2\pi}x2\pi}$, where's the point?

3. Jan 27, 2016

### CasualCalculus

No more than it's an interesting pattern and I thought I'd post out of curiousity as to whether seen it before.

4. Jan 27, 2016

### micromass

Staff Emeritus
Doesn't work if $x=-1$.

5. Jan 27, 2016

### SteamKing

Staff Emeritus
Whatever this formula is or where it comes from, it's not an axiom. You should consult a dictionary for a proper definition of that term.

6. Jan 27, 2016

### Staff: Mentor

7. Jan 27, 2016

### CasualCalculus

Ah a classic example of a tongue-in-cheek post title being met with derision and scorn (it was a play on the classic "HAVE I JUST INVENTED A NEW FORMULA?!" posts you get on things like this.

I am genuinely interested if anyone has seen this pattern before because this is the first time I came across it, and it just seemed kind of neat.

8. Jan 27, 2016

### micromass

Staff Emeritus
Yes, it's a neat pattern and formula. But it's wrong. Try $x=-1$.

9. Jan 27, 2016

### CasualCalculus

Yeah, hubris took hold before I checked it with x = -1

10. Jan 27, 2016

### Staff: Mentor

The right side simplifies to $\sqrt{x^2}$, which is NOT equal to x. It is true, however, that $\sqrt{x^2}$ = |x|.
It is true that $|x|=\sqrt{(x/2π)2πx}$, but it is also true that $|x|=\sqrt{(x/79)79x}$ and $|x|=\sqrt{(x/y)xy}$. This axiom already exists:
$|x|=\sqrt{x^2}$.