10 most elegant mathematics formulas (2 Viewers)

[Dumsum]

i think, the most elegant plus the most usefull formula is the quadratic formula. Theres lots we can do with it.

Bah. It's so much faster and neater to complete the square...

 

[YannY]

its not. Quadratic formula can also be broken up into the discriminant, plus it can show lots about a function by simply considering the formula.

 

[Trebla]

Besides Euler's formula, I reckon the whole calculus concept is pretty amazing. Newton was really clever to articulate the limit concept that led to the theorems of calculus...

 

[Slidey]

its not. Quadratic formula can also be broken up into the discriminant, plus it can show lots about a function by simply considering the formula.

I always found it faster to complete the square.

 

[Studentleader]

n! --> (2*pi*n)^0.5 * (n/e)^n

and this is just totally crazy, giving you about 8 more decimal digits per term:

Both these formula's didn't work on my calculator.

n! one is approx e^1 off, i wanted to investigate negative factorials with it but when -1 is put in there is a complex result.

The 1/pi one got a MA error, put in a few things as infinity (10^10, 10^1000...etc)

 

[Slidey]

The first one is de Moivre's formula (Stirling discovered the value of the constant sqrt(2pi)). Essentially it says:

More:

 

[KFunk]

The generalised continuum hypothesis:

For every ordinal 'alpha' it is the case that

Logical tautologies are fun too but they aren't as 'constructive', so to speak.

 

[buchanan]

a⁴+b⁴+c⁴+d⁴=(a+b+c+d)⁴ has infinitely many nontrivial integer solutions. The proof of this was published this month and utilises Mazur's theorem that an elliptic curve has at most 16 rational torsion points. (Note this was also used by Wiles to prove Fermat's Last Theorem).

I've attached the article.

 

[m&ss2008]

i remember a few years ago i was stoked when i could remember the quadratic formula.

now im into the 4u formulas!!

good times...

 

[conics2008]

La Hospital Rule

Lim x->c f(x)/g(x) = f'(c)/g'(c)

 

[Forbidden.]

La Hospital Rule

Lim x->c f(x)/g(x) = f'(c)/g'(c)

L'Hôpital's rule.
(But sometimes I only say Hospital for fun)

Btw it's mainly for indeterminate forms like when you evaluate a limit and find it becomes 0/0 or infinity/infinity.

 

[conics2008]

forbidden dont worry it was just a joke.. lol

 

[qmaz]

let a=1, b=1

a=b
a^2=ab
a^2 - b^2 = ab - b^2
(a-b)(a+b) = b(a-b)

a+b = b

2=1

 

[tommykins]

let a=1, b=1

a=b
a^2=ab
a^2 - b^2 = ab - b^2
(a-b)(a+b) = b(a-b)

a+b = b

2=1

a-b =0, can't divide 0.

sorry

 

[Slidey]

I want to know where they pull all these relationships from.

 

[Caitlin63]

n² + 9 + 9

It's known as "cDonald's Theorem" and when plotted on a graph models a uniformly curved line that somehow joins up with itself.

This is a figure which science has yet to come up with a name for. Can you think of one? If you can, the Royal Mathematics Society would like to hear from you!

hahahaha my friend found that youtube clip and made all our maths class watch it........... we all loled
Imhotep is invisible

 

[Affinity]

I want to know where they pull all these relationships from.

The Pi formula you have there follows from stirlings

 

[Tincho]

how about this...

x = y

x^2 = xy

x^2 - y^2 = xy - y^2

(x-y)(x+y) = y(x-y)

x+y = y

y + y = y

2 = 1 ?


i was amazed when i saw it until i worked out it wasn't true

 

[pLuvia]

Because he stated x=y then he did (x-y) divided by (x-y) hence he was doing 0 divided by 0 which can't be done

 

[Wassup?]

i before e, except after c.

wait...that's english! sorry guys!