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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 - котрий
variable - змінна
value - вартість
trick - трюк
remember - згадаймо
explain - пояснити
newton - ньютон
exactly - точно
everything - все
emotions - емоції
earlier - раніше
little - мало
always - завжди
everybody - кожен
behind - позаду
three - три
decides - вирішує
discovered - відкритий
since - з
changed - змінився
account - рахунок
choice - вибір
class - клас
around - навколо
campbell - campbell
different - інший
about - про
fails - не вдається
other - інший
especially - особливо
choose - вибирай
brand - бренд
chance - шанс
interest - інтерес
comes - приходить
chooses - вибирає
author - автор
suppose - припустимо
after - після
based - на основі
aside - в сторону
something - щось
called - називається
problem - проблема
would - б
start - почати
before - раніше
better - краще
bueller - буйер
gonna - збираюся
choosing - вибираючи
campus - кампус
already - вже
another - інший
change - змінити
given - дано
statistics - статистика
graded - градуйований
impressed - вражений
kabbalah - каббала
joseph - йосеф
anyone - будь хто
impressive - вражаюче
knows - знає
simple - простий
method - метод
nonlinear - нелінійний
years - років
goats - кози
number - номер
trying - намагаюся
original - оригінал
originally - спочатку
extra - додатково
offers - пропозиції
papers - папери
paranoia - параноїя
question - питання
people - люди
thing - річ
equations - рівняння
playing - грає
psychology - психологія
doors - двері
raphson - рафсон
published - опубліковано
really - дійсно
removed - вилучено
enlighten - просвітити
opens - відкривається
switch - перемикач
where - де
reverse - зворотний
credit - кредит
right - правильно
madonna - мадонна
shall - повинен
solve - вирішити
driving - водіння
asked - запитав
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