Hippalectryon

Yep. We call that "log-grids".

@TedShifrin I'm working on new "mathematical" models to perform numerical simulations of fluid equations on very decimated spaces (hence at a very reduced numerical cost).

@TedShifrin :/ I mean there was always those questions, but you mean it's become much worse / more frequent ?

@Franklin Sure, but MSE isn't a platform where people verify your homework !

What's MCQ btw ?

@TedShifrin That's so nice !

@Franklin Also I don't know if you realize, but the way you ask your "question" feels less like a genuine math question and more like a "I have homework to do and i'd like to get good grades so please verify my answers", which is not the spirit of MSE at all

@Franklin It has nothing to do with being creative, it has to do with writing a title that makes sense without reading your question

@TedShifrin Let me know next time you come and I'll invite you :D

@TedShifrin Just wondering :) Sorry to hear about your back

@TedShifrin Are you coming back to France anytime soon by any chance ?

@Franklin Your question doesn't even have a finished title ^^"

@robjohn Nice easter profile pic btw

Alright, thanks :)

@TedShifrin Is Balarka Sen still around by any chance ? I'm curious to know what he's become, he was an interesting guy

Aren't you supposed to be retired though ? Still working on saturdays ? :P

@TedShifrin Doing fine, he's finished studying and started working a few months back

@TedShifrin Procrastinating instead of writing my PhD 😭

@TedShifrin Ah sympa ! Je ne savais pas qu'il avait continué à faire des maths

It's been ages since I've last been here, it's nice to see there are still some familiar faces around :D

@TedShifrin 👋 hey :) how are you ?

I'd say it is

In my view, there is no reason why a linear spline is not a "natural" cubic spline

@MaryStar But if we do so, it becomes trivial that a 2nd order solution exists since in particular a linear - 2nd order - linear solution can be created with four points

@MaryStar I'd say yes - but maybe @Thorgott as a different point of view, so I'm not sure

I relate "natural" to the boundary conditions (which make it solvable by a tridiagonal system)

@Thorgott To me that's a natural cubic spline, what's the definition you have in mind ?

Or do you relax some conditions on the degree 2 interval ?

@MaryStar (not an expert but) isn't the natural cubic spline a complete linear system ? (as in, n equations and n unknowns) ? As such, requiring an interval to be of order two would make it a n equations & n-1 unknowns system wouldn't it ?

np :)

don't worry :P it's the natural process of doing maths haha

:)

@user791811 Correct. But do those cases (eg $x>2$) yield a solution ?

@user791811 Since the new rectangle is a $2\times x$ rectangle, assuming $x<2$, then the ratio big/small side is $2/x$, which has to be equal to the original ratio $x/1$, right ?

I don't understand your question then. You just showed that $x=\sqrt2$, no ?

I read too quickly maybe

Oh wait

@user791811 Yours

@user791811 Your ratio isn't defined properly

@EddieKal Thank you so much !

Sorry for pinging, I had not noticed you were not in the room anymore

@EddieKal Is it fine if my title is just "understanding the sentence XXX" ? I am having troubles finding a more "general title" (I know some other SE websites have slightly strict policies on titles)

Alright, thank you very much

Hello, I am currently (attempting to) read a book in Japanese. Naturally, several grammar questions arise and I am not directly able to find answers on JSE. However, I'm reticent to post questions about my difficulties on JSE since I'm afraid it will "flood" the website and be considered a bad practice (I'm don't use JSE often) (I fear people will think that I'm "using them" to do homework/.. for me). How should I proceed ? Is there some website that is more suited to my situation ?