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All right.
Now, who can explain Newton's method and how you use it?
You can use it to solve nonlinear equations.
That's impressive.
That's really good. I mean, I'm very impressed by that,
especially since my class is called Nonlinear Equations.
All right, now somebody tell me something I don't already know.
Anyone? Bueller. Anyone? Bueller.
Newton stole it.
- I'm sorry? - Newton stole it.
Joseph Raphson published this same method 50 years earlier.
If the start value is too far removed from true zero, then it fails.
- I'm sorry, what's your name? - Ben. Ben Campbell.
So Ben Campbell suggests that Joseph Raphson
was the original author of this method.
Well, if that's the case, then why didn't he get any credit?
Well, for one thing, Newton had a better publicist.
And for another, after 1700, we know very little about Raphson
other than the fact that he discovered the Kabbalah
about 300 years before Madonna.
All right, now, let's give Ben a chance for some extra credit, shall we?
We're gonna call this the game show host problem, all right?
Ben, suppose you're on a game show.
And you are given a chance to choose from three different doors, all right?
Now, behind one of the doors is a new car. Behind the other two, goats.
Which door would you choose, Ben?
Door number one?
Door number one. Ben chooses door number one.
All right, now, the game show host,
who, by the way, knows what's behind all the other doors,
decides to open another door. Let's say he chooses door number three.
Behind which sits a goat. Now...
Ben, game show host comes up to you.
He says, " Ben, do you want to stay with door number one
" or go with door number two?"
Now, is it in your interest to switch your choice?
- Yeah. - Well, wait.
Remember, the host knows where the car is
so how do you know he's not playing a trick on you?
Trying to use reverse psychology to get you to pick a goat?
Well, I wouldn't really care. I mean, my answer's based on statistics.
Based on variable change.
Variable change? But he just asked you a simple question.
Yeah, which changed everything.
Enlighten us.
Well, when I was originally asked to choose a door,
I had a 33.3% chance of choosing right.
But after he opens one of the doors and then re-offers me the choice,
it's now 66.7% if I choose to switch.
So, yeah, I'll take door number two, and thank you for that extra 33.3%.
Exactly. People, remember,
if you don't know which door to open, always account for variable change.
Now, see, most people wouldn't take the switch
out of paranoia, fear, emotions.
But Mr. Campbell, he kept emotions aside
and let simple math get his ass into a brand-new car!
Which is better than that goat you've been driving around campus.
All right, everybody.
That's the end of the day. Thank you very much.
Your graded papers are down here at the end.
You can pick them up on your way out.
which - quale
variable - variabile
value - valore
trick - trucco
remember - ricorda
explain - spiegare
newton - newton
exactly - di preciso
everything - qualunque cosa
emotions - emozioni
earlier - prima
little - piccolo
always - sempre
everybody - tutti
behind - dietro a
three - tre
decides - decide
discovered - scoperto
since - da
changed - cambiato
account - account
choice - scelta
class - classe
around - in giro
campbell - campbell
different - diverso
about - di
fails - non riesce
other - altro
especially - particolarmente
choose - scegliere
brand - marca
chance - opportunità
interest - interesse
comes - viene
chooses - sceglie
author - autore
suppose - supporre
after - dopo
based - basato
aside - a parte
something - qualcosa
called - chiamato
problem - problema
would - voluto
start - inizio
before - prima
better - meglio
bueller - Bueller
gonna - andando
choosing - la scelta
campus - città universitaria
already - già
another - un altro
change - modificare
given - dato
statistics - statistica
graded - graduato
impressed - impressionato
kabbalah - kabbalah
joseph - joseph
anyone - chiunque
impressive - impressionante
knows - conosce
simple - semplice
method - metodo
nonlinear - non lineare
years - anni
goats - capre
number - numero
trying - provare
original - originale
originally - originariamente
extra - extra
offers - offerte
papers - documenti
paranoia - paranoia
question - domanda
people - persone
thing - cosa
equations - equazioni
playing - giocando
psychology - psicologia
doors - porte
raphson - raphson
published - pubblicato
really - veramente
removed - rimosso
enlighten - illuminare
opens - si apre
switch - interruttore
where - dove
reverse - inversione
credit - credito
right - destra
madonna - madonna
shall - deve
solve - risolvere
driving - guida
asked - chiesto
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