latex error

[fringe plaza]

$$ \lim\limits_{n\to\infty}\biggl(\sum_{i=1}^{n} y_i^{P}\int_{a}^{b} \prod_{\substack{j=0}\{j\neq i}}^{n}\frac{x-x_j}{x_i-x_j}\biggl dx - \sum_{i=1}^{n} y_i^{Q}\int_{a}^{b}\prod_{\substack{j=0}\
{j\neq i}}^{n}\frac{x-x_j}{x_i-x_j} dx\biggl) $$

[wooden fossil]

don mastro
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

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[fringe plaza]

says there's an error but where?

[autumn wharf]

$\lim\lim_{n\to\infty}\biggl(\sum_{i=1}^{n} y_i^{P}\int_{a}^{b} \prod_{\substack{j=0 \\ j\neq i}}^{n}\frac{x-x_j}{x_i-x_j}\biggl( dx - \sum_{i=1}^{n} y_i^{Q}\int_{a}^{b}\prod_{\substack{j=0 \\ 
 j\neq i}}^{n}\frac{x-x_j}{x_i-x_j} dx\biggl)$

[wooden fossil]

Coffey, Slavic Taiga

[warm crane]

this one is missing lim var and 1 bracket

:/

[autumn wharf]

i won't even try to fix it

[warm crane]

anyway

Compile Error! Click the :errors: reaction for more information.

do this

maybe it helps u

[autumn wharf]

fuck

\substack{line 1 \ line 2}

[fringe plaza]

i purposely never used it stacked like that

[autumn wharf]

this is the right usage

[warm crane]

maybe the type like i=0i!=j

missing a comma

or should be on a different line

[autumn wharf]

you are literally writing \lim\limits

wut

[warm crane]

this i mean

i think the j != i should be under j=0

no?

[fringe plaza]

$$ \lim_{x\to 0} $$

[wooden fossil]

don mastro

[fringe plaza]

oh yeah im used to quora

where you need lim limits

[autumn wharf]

$\lim_{n\to\infty}\qty(\sum_{i=1}^ny_i^P\int_a^b\prod_{j=0;j≠i}^n\frac{x-x_j}{x_i-x_j}\mathrm{d}x-\sum_{i=1}^ny_i^Q\int_a^b\prod_{j=0;j≠i}^n\frac{x-x_j}{x_i-x_j}\mathrm{d}x)$

[wooden fossil]

Coffey, Slavic Taiga

[warm crane]

yeah, was a comma or something missing

[fringe plaza]

yep does look better

[warm crane]

i would write

j=0
j != i

instead of a semicolon tho, but as u wish

[autumn wharf]

$\lim_{n\to\infty}\qty(\sum_{i=1}^ny_i^P\int_a^b\prod_{\substack{j=0\\j≠i}}^n\frac{x-x_j}{x_i-x_j}\mathrm{d}x-\sum_{i=1}^ny_i^Q\int_a^b\prod_{\substack{j=0\\j≠i}}^n\frac{x-x_j}{x_i-x_j}\mathrm{d}x)$

[wooden fossil]

Coffey, Slavic Taiga

[autumn wharf]

you can just straight up write : LagrangeInterpolate(x_0,...,x_n)

why bother

[fringe plaza]

stuff

thanks btw

[autumn wharf]

latex is jargon use papyrus plebeian

[fringe plaza]

oh another thing

how do i center this

[autumn wharf]

it's centered

you can't make this up can you.

[autumn wharf]

or should i say, it can't go to the left anymore

just imagine an imaginary margine on the left

were ax^7+bx^6...

then write a=.., b=.. below

[warm crane]

u will need to change the left margin for the whole document

also, is lagrange interpolation good? i remember something like

lagrage doing the red polynomial

yes, it passes through all the points, but in between it is really a mess

tho this is offtopic

while the blue one seems a better apporximation

[fringe plaza]

may lead to some % error if you use a lot of nodes but usually yeah pretty good

[autumn wharf]

Lagrange is dookie for anything past like what 10 points

[warm crane]

yes

i remember using splines

[autumn wharf]

tip : don't approximate

[warm crane]

i did once for a custom proyect XD u draw a curve with mouse and i had to get a plynomial that represents them

was funny to do XD

[fringe plaza]

hey can i ask a question kinda off topic

as a non-native english speaker

[autumn wharf]

oak

[fringe plaza]

how do you call typographic notes? (this is a literal translation from italian)

cause i need to add a few in latex and was searching for a tutorial

https://media.discordapp.net/attachments/923922871238160415/1199097966506561586/RDT_20240122_220224485581840067023297.gif

[autumn wharf]

wdym

[fringe plaza]

like to explain further a concept

is it just a "note"?

[autumn wharf]

heh

[fringe plaza]

usually indicated by a number

[autumn wharf]

give me an example

[autumn wharf]

@fringe plaza further reading

but these are just what they are like

tags?

redirections?

[fringe plaza]

wanted to know the name because i dont know how to make them in latex

[autumn wharf]

oh

We know than $a^p+b^p\equiv (a+b)^p \pmod{p}$ this is called the freshman's dream$^{[1]}$.

[wooden fossil]

Coffey, Slavic Taiga

[autumn wharf]

these?

[fringe plaza]

yep

and a further explanation at the end of the page

like bottom

[autumn wharf]

footnotes

[fringe plaza]

yes

how do you make those in latex

[autumn wharf]

oh

just make a bottom margin

and write the text in a smaller don't

font

[fringe plaza]

https://tenor.com/view/confused-white-persian-guardian-why-gif-10312546

[autumn wharf]

??

[fringe plaza]

thanks for your help but if every message of yours takes 5 minutes to be sent i'll search on google

👍

[unborn radish]

@fringe plaza has given 1 rep to @autumn wharf