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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 - który
variable - zmienna
value - wartość
trick - sztuczka
remember - zapamiętaj
explain - wyjaśniać
newton - niuton
exactly - dokładnie
everything - wszystko
emotions - emocje
earlier - wcześniej
little - mało
always - zawsze
everybody - wszyscy
behind - za
three - trzy
decides - decyduje
discovered - odkryty
since - od
changed - zmienić
account - konto
choice - Wybór
class - klasa
around - na około
campbell - campbell
different - różne
about - o
fails - nie
other - inny
especially - szczególnie
choose - wybierać
brand - Marka
chance - szansa
interest - zainteresowanie
comes - pochodzi
chooses - wybiera
author - autor
suppose - przypuszczać
after - po
based - na podstawie
aside - na bok
something - coś
called - nazywa
problem - Problem
would - by
start - początek
before - przed
better - lepszy
bueller - Bueller
gonna - gonna
choosing - wybierając
campus - kampus
already - już
another - inne
change - Zmiana
given - dany
statistics - statystyka
graded - ocenione
impressed - pod wrażeniem
kabbalah - Kabała
joseph - joseph
anyone - ktokolwiek
impressive - imponujący
knows - wie
simple - prosty
method - metoda
nonlinear - nieliniowy
years - lat
goats - kozy
number - numer
trying - próbować
original - oryginalny
originally - pierwotnie
extra - dodatkowy
offers - oferuje
papers - dokumenty tożsamości
paranoia - paranoja
question - pytanie
people - ludzie
thing - rzecz
equations - Równania
playing - gra
psychology - psychologia
doors - drzwi
raphson - raphson
published - opublikowany
really - naprawdę
removed - usunięto
enlighten - oświecać
opens - otwiera się
switch - Przełącznik
where - gdzie
reverse - rewers
credit - kredyt
right - dobrze
madonna - Madonna
shall - będzie
solve - rozwiązać
driving - napędowy
asked - spytał
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