Have I just invented a new axiom?

[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 curiosity has anyone seen this formula before?

X = √ ((X/2Π) * (X*2Π))

 

[fresh_42]

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

 

[CasualCalculus]

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

 

[micromass]

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

 

[SteamKing]

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.

 

[fresh_42]

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.

There is just a discussion about that term in another thread. Turned out this thing isn't as easy to define as one might think. You're kindly invited to join in: https://www.physicsforums.com/threads/a-confusion-about-axioms-and-models.854252/

 

[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.

 

[micromass]

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.

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

 

[CasualCalculus]

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

 

[Mark44]

Just out of curiosity has anyone seen this formula before?

X = √ ((X/2Π) * (X*2Π))

Or in an easier-to-read form:

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

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

The right side simplifies to $\sqrt{x^2}$, which is NOT equal to x. It is true, however, that $\sqrt{x^2}$ = |x|.

 

[Isaac0427]

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:
$|x|=\sqrt{x^2}$.