Batman Equation - NumberphileYouTube↗  IA↗(long shot)
Science & Technology  848.1K views 14.7K likes 118 dislikes   30 Jul 2012
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So we're going to do something that looks really complicated,
Entonces, vamos a hacer algo que se ve muy complicado.
something actually, if you talk about maths, you go, oh,
Algo que realmente, si hablas de matemáticas, dirías , Oh!,
no that looks horrific.
no, eso se ve horrible.
And then we'll see how it turns out, all right?
Y luego veremos cómo resulta, ¿de acuerdo?
[MUSIC PLAYING]
[REPRODUCIENDO MÚSICA]
Yes.
Sí.
We've done it.
Lo hicimos.
That is probably the most horrific equation we've ever
Esa es probablemente la ecuación más horrorosa que hemos
done on Numberphile.
hecho en Numberphile.
But what does it mean?
Pero, ¿qué significa?
Well, let's try this out.
Bueno, probemos esto.
We're going to plot it, right?
Vamos a trazarlo, ¿verdad?
We're going to draw a graph in my computer here.
Vamos a dibujar un gráfico en mi computadora aquí.
And now, I'm going to draw the graph.
Y ahora, voy a dibujar el gráfico.
And it should be-- let me make that bigger for you-- it's the
Y debería ser-- déjame hacer esto más grande para ti-- es la
equation Batman deserves, but not one he needs right now.
ecuación que Batman merece, pero no una que él necesite ahora.
Again, that is the Batman curve.
De nuevo, esa es la Curva de Batman
It was famous when it went viral last year.
Fue famosa cuando se hizo viral el año pasado.
A high school teacher designed this curve, this equation, so
Un maestro de escuela secundaria diseñó esta curva, esta ecuación,
that it would draw the Batman logo.
que dibuja el logo de Batman.
And he made it quite cleverly out of different curves and
Y lo hizo bastante hábilmente con diferentes curvas y
straight lines.
lineas rectas.
Can I show you how he did it?
¿Puedo mostrarte cómo lo hizo?
So here we've got some things that you may be familiar with.
Así que aquí tenemos algunas cosas con las que puedes estar familiarizado
Straight lines are quite easy to draw.
Las líneas rectas son bastante fáciles de dibujar
What he did, though, is we don't want
Lo que hizo, sin embargo, es que no queremos
a circle for Batman.
un círculo para Batman.
We want an ellipse.
Queremos una elipse
Has a slightly different equation, so
Tiene una ecuación un poco diferente. Entonces
it looks like that.
se ve así.
Now, he turned this into his Batman wings.
Ahora, él convirtió esto en las alas de Batman.
Obviously, we don't want the whole thing.
Obviamente, no queremos toda la cosa.
That's not what the curve looked like.
Eso no se parece a la curva que buscamos.
He actually just used these two ends.
En realidad solo usará estos dos extremos
He found a way to multiply his equation, and the effect was
Encontró una manera de multiplicar su ecuación, y el efecto fue
it hides some of the curve.
que se oculta parte de la curva.
What happens here in this bit that's missing, this becomes a
Lo que sucede aquí en este tramo, eso que falta, esto se convierte en
complex number, imaginary number, which means
números complejos, números imaginarios, lo que significa
you can't draw it.
que no puedes dibujarlos
And that's what he did.
Y eso es lo que hizo.
He just carried on doing that.
Él simplemente continuó haciendo eso.
He just used curves and straight lines.
Él solo uso curvas y lineas rectas.
And let me show you what they look like to make his Batman.
Y déjame mostrarte lo que parece ser su logo de Batman.
Now, he used six curves.
Ahora, uso seis curvas.
Let's have a look at them.
Echemos un vistazo a ellas.
So he used the ellipse.
Entonces, uso la elipse.
And, oh, this is quite clever.
Y, oh, esto es bastante inteligente.
This is the bottom of the Batman symbol.
Esta es la parte de abajo del símbolo de Batman
And these straight lines and these ones are going to form
Y estas líneas rectas y estos otros van a formar
his ears, very pointy ones there.
sus orejas, muy puntiagudas allí.
And then, there you go, some more curves.
Y luego, ahí tienes, algunas curvas más
That finishes off the picture.
Eso termina la imagen.
You put it all together, and that's what you get.
Lo pones todo junto, y eso es lo que obtienes.
That's the Batman.
Ese es el Batman.
So he hid parts of it using imaginary numbers, yeah, using
Entonces él ocultó partes usando números imaginarios, sí, usando
square roots, which would turn some numbers that he doesn't
raíces cuadradas, que cambian algunos números que él no
want to find into imaginary numbers.
quiere encontrar por números imaginarios.
It was a very clever way.
Fue una manera muy inteligente.
He used the same curves, but now you can see he's hidden
Él uso las mismas curvas, pero ahora puedes ver que ha escondido
some parts of it.
algunas partes
You put those together, and you put them together by
Los pones juntos. Los pones juntos
multiplying.
multiplicando
So he put it together.
Entonces los pones juntos.
He multiplied these equations together.
Él multiplicó estas ecuaciones juntas.
What do you get?
¿Qué obtienes?
The Batman curve.
La curva de Batman.
It went viral last year, but I wanted to do it, because I'm
Se volvió viral el año pasado, pero yo quería hacerlo, porque tengo
very much looking forward to the Dark Knight coming out,
muchas ganas de que aparezca el Caballero de la Noche,
Dark Knight Rises.
El caballero de la noche renace.
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