Park idea

[RadicalOne]

I got an idea for a series of parks after seeing a sign posted by the street somewhere.


How is the idea?

PS
A bonus to anyone who recognizes the second formula WITHOUT looking it up.

[Girafe]

Why not, something interesting

I prefer the formule (1+5^1/2)/2 = 1.618 more appropriate for architecture 

Anyway wait to see what it could be in the game, try different lights than this flashy green 

[jp]

the second one is the dilation of time, based on Einstein's theory of special relativity. I just looked it up to see what it is called in english because we learned it at school in french i didn't cheat
interesting idea for a sign

[RadicalOne]

I would do Schrodinger's equation, but the characters like Psi would make it impossible.

PS
I did three more - universal gravitation, an integral (calculus) expression, and an equilibrium constant for the ionization of Acetic acid.
These are the formulae: (Models not yet complete)
          

[zero7]

This is an interesting idea.  Maybe the centrepiece of the 'maths' park could be a pool or sculpture based on the Fibonacci series ... 

[Lowkee33]

Neat Stuff.  My defunct mayor diary was going to incorporate some historic equations/diagrams.  My first mayor was named Euclid, and he went for many walks.  As time went by people were going to discover a model that he did of how to bisect an angle.  Oh well...

I think you should have general integration rules instead of a definite integral.

[Ciuu96]

As simplicity is beauty, at least in mathematics, I would propose something very simple, but still very important:

a² + b² = c²

Something like a right triangle or this could be added to make this look very neat and beautiful.

[RadicalOne]

This is an interesting idea.  Maybe the centrepiece of the 'maths' park could be a pool or sculpture based on the Fibonacci series ... 

I LOVE that idea. Or perhaps something founded on Pascal's triangle?
Just one problem - how would I do that? I am an engineer, not a mathematician.

I think you should have general integration rules instead of a definite integral.

For that function, for polynomials in general, or something else?

As simplicity is beauty, at least in mathematics, I would propose something very simple, but still very important:
a2 + b2 = c2

I like that idea...with one modification. Pythagoras' theorem is incomplete, as it is restricted to only right triangles. We need the correction factor of -abcosθ, thus making it what is commonly called the "cosine law".

EDIT: Oh, wait. Greek letters would be impossible to model. Damn. The root of the sum of the squares it is.

[Lowkee33]

For that function, for polynomials in general, or something else?

A power rule would be enough, but maybe you could help me with homework if you threw some "u" substitutions and trigonometric functions in there .  I just mean to say that variables are cooler than integers.

[RadicalOne]

A power rule would be enough, but maybe you could help me with homework if you threw some "u" substitutions and trigonometric functions in there .

Well, I am not doing your homework for you - - but sure, some trig might be fun. Arctan of secant of hyperbolic sine?

Hey, while we are at it; A limit of a Riemann sum? Quantum electrodynamics? Static Equilibrium? Wavelength & diffraction calculations? An inverse of a 6x6 matrix? Orbital calculations of comet 245-23-177?

EDIT:
The integral is a whopping 12 tiles long!