Favorite Equation: Quadratic Formula - Solving for X
Thread starterrock4christ
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In summary: To me it seems that Euler's identity is a trivial instance of Euler's formula. Euler's identity is a special case of Euler's formula, yes. But it's not trivial at all, and it's not just a "special case" in the sense that it's not as important or something - it's just as important, and the fact that it's a special case makes it more beautiful, IMO.
#106
eddybob123
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my favourite equation actually, is 1=1, cause it holds the fabric of math together
my favourite equation actually, is 1=1, cause it holds the fabric of math together
But that's not true.
#108
eddybob123
178
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im not talking about beauty, I am talkingg about my favourite equation
#109
Char. Limit
Gold Member
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The equation 1=1, it's not true.
#110
TylerH
729
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Explain.
#111
Jabberwocky
8
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Euler's equation is beautiful, but I think my favorite is Stokes' Theorem:
Given a [itex]k[/itex]-chain, [itex] M[/itex] in [itex]\mathbb{R}^n[/itex] and a [itex]k-1[/itex] form, [itex]\omega \in \Omega^{k-1}\mathbb{R}^n[/itex],
[tex]\int_{M}d\omega=\int_{\partial M}\omega.[/tex]
All the classical theorems of div, grad, and curl, follow from this one elegant equation.