computational math

[elfin walrus]

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[agile violet]

is this just 12! * 12?

[quartz gate]

Yes

[agile violet]

thank u

[dense pelican]

@agile violet has given 1 rep to @quartz gate

[agile violet]

can i ask more questions in this thread or do i need to open a new one each time? (i have 4 more)

wanna avoid clutter if possible

[quartz gate]

You can try again here, if u notice people don’t respond it might make sense to make a seperate thread

[agile violet]

alright

i've said all true except B

[quartz gate]

Don’t forget that the y intercept is a dimension aswell

[agile violet]

im not sure what that implies

they're all true?

[quartz gate]

It means that the space of all polynomials of degree 0 has 1 dimension, not 0

[agile violet]

oh right

am i correct in saying that B is false?

p(x) doesnt satisfy a lagrange polynomial

oh wait, only c and d are true aren't they

[sleek pine]

Look

[agile violet]

im looking

[sleek pine]

replace $a_j$ with $j$

[long jacinth]

Wael

[sleek pine]

and set $n = 12$ at the top

[long jacinth]

Wael

[sleek pine]

then take the 12 derivative of what's inside the summation, bc the derivative of a sum of terms is the sum of the derivative of all terms individually

expand the summation

evaluate at $x = 7$

[long jacinth]

Wael

[sleek pine]

for the 12th derivative, all powers less than 12 disapear(become 0)

$P^{(12)}(7) = d^{12}/dx^{12} \sum_{n=0}^{12} jx^j$ at x = 7

$P^{(12)}(7) = 12 * 12! x$ at x = 7

[long jacinth]

Wael

[agile violet]

why is there an x at the end

[long jacinth]

Wael

[agile violet]

nvm

[sleek pine]

mistake

no x

[agile violet]

so it is 12! * 12

[sleek pine]

yeah

[agile violet]

whatever that evaluates to

[sleek pine]

,w 12 * 12!

[long jacinth]

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[agile violet]

my question was in regard to the bottom most question
^

c,d

is my current answer

[sleek pine]

it e

I'm sure

[agile violet]

https://tenor.com/view/inside-out-anger-characters-gif-25501912

[sleek pine]

wth?

[agile violet]

there is no e!

[sleek pine]

look

[agile violet]

no i meant for my question

that one has been solved alrdy

theres a 2nd one

in this thread

[sleek pine]

oh

lol

[agile violet]

THIS

ive picked c and d so far

im going in circles

[sleek pine]

idk how to do that

sry

[agile violet]

all g

thanks for the help on the previous q

[sleek pine]

np

[agile violet]

how do i thank

thank @sleek pine

[dense pelican]

@agile violet has given 1 rep to @hazy umbra

[sleek pine]

thank u

[agile violet]

wot about this? @sleek pine

im deciding between c=2 and c=0

[sleek pine]

okay, what's Newton coefficient?

oh

the binomial coefficient

[agile violet]

ye they use diff names for the same thing in diff countries i suppose

[sleek pine]

no, it's called both

I forgor

[agile violet]

i c

[sleek pine]

Devided differences is a new term for me, and Wiki isn't helpful

so...

I'm really sry

[agile violet]

nah all g

[sleek pine]

but I'll do some research and come back

[agile violet]

alright ty ❤️

[sleek pine]

np

is the third coefficient(c2) supposed to be the devided difference [x0, x1, x2, x3]?@agile violet

[agile violet]

i believe so

[sleek pine]

but I only found for datas in the form (x0, y0),... Here we have (x0, y0, z0),...

[agile violet]

im really not sure now ;-;

[sleek pine]

;-;

[agile violet]

+close