your favorite math equation/geometric property

actually 0.999999999...=1 defines and denies at the same time infinity .By far this is the most powerful equation ever.

3.14
cause Archimedes rules

I have not seen anyone list it, but, my favorite is the Golden Ratio aka the golden section, golden mean, golden number, etc. It is also known as the Golden Rectangle. It is used allot by artists and architects in which they proportion their works to aproximate the ratio. A Simple example of this ratio is the nautilus shell. In fact a couple of thousand years ago, roman builders would use a nautilus shell with the string wrapped around the spiral tied to a scribe to mark the outline for volutes in scrolled capitals for pillars.

I gotta go with pi.

Just cause it tastes good.

My favourite is Einsteins equation

E^2 = m0^2*c^4 + p^2*c^4

for particles of zero rest mass you get E=pc and for particles with zero momentum you get E=mc^2

Kinetic quantum teory of gravity. EQ 61.

Feynman vs. The Abacus


Not quite on topic but I figured some of you might get a kick out of it.

Cool page: Famous Equations and Inequalities

Not technically an equation but I always found the Fibonacci sequence to be interesting... the "appearance" of design in nature and all that jazz.

Fibonacci Numbers and Nature

For me, it has to be Cpt. Bruce Cathie's suggested workings for a "unified field equation......


E = SqrR [(2c + squrR (1/2c))(2c2)]


When this equation is used to explain the geometric properties of reality, a 101 things fall into place.

Definately an unsung hero in my books.

Harmonic Conquest of Space by Bruce cathie....the basics



Edited to correct the "lost in translation" prob, it didnt recognise the Square Root symbol

[edit on 7-3-2007 by Anomic of Nihilism]

[edit on 7-3-2007 by Anomic of Nihilism]

my favorite is the very well used equation


14u+24me

Another of my favorite equations is for the Witch of Agnesi, which I learned of in one of my Calculus courses.

Here's a link for it, with a good plot that is animated (don't want to copy everything into this post):

mathworld.wolfram.com...

Laplace transformation to solve a differential equation, a good tool.

Can you count to 32 on one hand? I can.

(And for those who know binary, yes you can count past 31... you wouldnt bother trying to count 0 on your hand would you?)

As for my favorite geometric property... the sign wave... it's just beautiful... those curves... mmm... curves.

Proof that 2 equals 1:

Let a and b be equal non-zero quantities
a = b

Multiply through by a
a^2 = ab

Subtract b^2
a^2 − b^2 = ab − b^2

Factor both sides
(a − b)(a + b) = b(a − b)

Divide out (a − b)
a + b = b

Observing that a = b
b + b = b

Combine like terms on the left
2b = b

Divide by the non-zero b
2 = 1

My Algebra teacher gave us this one in H.S. and it blew me away back then.


[edit on 8-3-2007 by mecheng]

It's silly, but I still like (e^x)'=e^x, and thusly, Se^x=e^x.

There's no other equation like it.