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user223506
12:03 AM
@AccidentalFourierTransform maybe... who knows? who cares? Little point if efforts are wasted here (as you stated)
 
1:01 AM
Who wants to check out this question? physics.stackexchange.com/questions/307146/…
 
1:18 AM
it's quiet today.
 
@heather Sh
 
::yells in the library::
 
@heather hello
user image
2
 
@Ramanujan, hello
 
I have 168 points but still it is showing to me
 
1:23 AM
hmm...
one moment
i don't know, to be honest
@Kenshin, what do you think of this?
@Ramanujan, kenshin would be the one to ask, as he knows more about the source code for the site.
my apologies that I cannot help you more. I approved your meta question, as well.
 
@GPhys: L&L definitely not a favorite as a textbook. The Russian style is very dense and Landau had such intuition that too many statements are presented as obvious.
 
 
1 hour later…
2:46 AM
@AccidentalFourierTransform I do believe that moderator super-powers can fix that. My fingers have their own opinions about how things should be spelled, and I hadn't noticed.
 
@dmckee Do you know how to do induction proofs?
 
@BernardoMeurer Easy ones, probably.
You have to show two things:
(A) That what you want to prove is true in some limiting special case.
(B) That is case (n) is true then case (n+1) must also be true.
 
with the direction leading from the special case to all other cases.
 
"Prove using induction that $a_n \in ]0,6[$ for any $n\in \mathbb N_1$"
So I must prove for n=1 which is trivial
 
2:52 AM
So, try to show that $a_{n+1}$ must be positive and less than $a_n$ as long as $a_n$ is positive. Then use the fact that $a_1 = 6$ to set the upper bound. Maybe?
Yeah. Looks like that might work.
@BernardoMeurer $n=1$ is the starting point and, as you observe is particularly easy in this case.
 
I just wrote $0<\frac{a_n}{3}(1-e^{-a_n^2})\le 6$
But then I'm not sure how to conduct the proof so to speak
I see why it's true
But I don't know how to "say it"
 
Might be clearer in the form $0 < (1 - e^{-a_n^2})/3 < 1$.
 
Hm? How'd you do that?
 
@BernardoMeurer I looked and saw that $a_{n+1} = a_n (\text{some factor})$ and thought 'Ah! We want some factor to lie between 0 and 1, so I'll write it that way.'
 
Hm, question
Has any SE site used public domain images for its design, or have they all made their designs by scratch?
 
2:58 AM
You 'll have to argue that you know that $a_n$ is positive to insure that $(1 - e^\{\dots\})$ is positive but smaller than unity.
 
@SirCumference They have a dungeon full of tormented designers. I presume they do them all.
 
@dmckee Welp, I feel like one
It's a huge pain to create a ton of vector images from scratch
 
@SirCumference But you're torturing yourself.
 
And even worse to make them look good
 
3:00 AM
That's different.
 
@dmckee I know, but it's a project that I started, and thus need to see through
 
@SirCumference Yes. Yes it is. That's why you capture and enslave a designer.
 
@dmckee Okay, I get the first part of that, but why can you state that the factor has to be between 0 and 1? This is as if you had stated that $a_n=6$ and then divided by it
 
@heather more reputation is required to send private messages
I haven't updated the text with the new reputation figure
 
Well. You can start with a case where the value is known to be 6. So $e^\{\dots\}$ is less than 1 (because $\dots$ is negative), and thus $(1-e^\dots)$ is less than one.
That makes $a_2$ smaller than six but still positive.
 
3:02 AM
I think it is 200 rep I will check and update soon
 
Wash. Rinse. Repeat.
 
@heather yes 200 reputation is required
2
this was increased to stop users from creating multiple accounts and upvoting to get to the required reputation
this can still be done but the effort to do so has increase4d
 
@dmckee What a boring thing to do :/
 
@Kenshin I assume you're talking about qandaexchange
 
Thanks for the help!
 
3:04 AM
@SirCumference that's right
 
Induction proofs are like the drug pushers dream product.
 
See, a rep requirement would make PMing viable here
 
@dmckee Lol
 
No help vampires or noobs
 
The first one gives you a high. The second one a little boost. The third one you barely notice, but by then you're hooked and can't quit.
4
 
3:07 AM
Gives me low grades that's what it does
 
Hii @Kenshin
 
hi @koolman
 
@Kenshin After a long time to come online
 
3:53 AM
ugh, I suck at integrating curved trajectories. I need to think carefully on what happens for each second in this system
It is true I assumed the rods are rigid, but with a tangential acceleration, this cannot be circular motion
 
4:23 AM
o wait nvm
 
rob
5:19 AM
user image
3
Bragging time: from now on, when I say something like "I'm speaking with my moderator's hat on," you'll know to take me literally
 
5:31 AM
O
M
G
I should have run for mod.
 
Damn you mods
 
rob
I also got SE and Physics.SE shirts and stickers
 
wtf man
 
rob
I am like the coolest person on my entire couch right now
 
How come I get nothing
I'm the only reason this site functions!
 
5:32 AM
@rob lkaooiuwoiy98y4329873498yu3 t4p9nt8yne p98yt 0oe9tugy 89yu erpoiuh ert
 
rob
@DanielSank Translation?
 
I'll send you Google stickers in exchange for PSE stickers.
 
@rob Let me see the stickers!
@rob You don't want to know what he told you
That's russian btw
 
@rob Oh, yes, in English that's "I envy your stickers, good sir".
 
rob
@DanielSank Somehow I suspect this translation lacks nuance
 
5:33 AM
@BernardoMeurer нет, этот не русский.
@rob Well, a translator takes certain liberties, you know.
 
@DanielSank If it's not ASCII I ain't reading it
(extended ASCII counts)
 
rekt
So @rob, how is being a mod?
Champagne and caviar as promised?
 
Hey guys, I have a one year old question which I just recently (get through my procrastination and) update it with new modelling details. I'd like to know whether the question looks clear to you for the section after it states "Update"
 
rob
@DanielSank It's mostly not remarkable.
 
@Secret Never, ever put an "update" section in a question.
Just edit it.
Nobody cares about the chronological development of the question.
 
rob
5:38 AM
The flag queue stays pretty empty unless something strange develops over a few days.
Lately our users have been mostly nice to each other.
 
@rob Yeah, I noticed the tone around here has improved remarkably.
 
Well, for that, the issue is Mark have answered the old version of the question, thus I want to briefly acknowledge that in the update so that future users will not see his answer as off. Maybe there's a better way to do so?
 
rob
I no longer feel bad about letting the close review queue build up since I don't like casting super-close votes
 
There are noticeably fewer antagonistic comments.
@Secret Leave a comment under that answer.
@rob That's one of the reasons I didn't want to be a mod. It seems like it discourages doing reviews.
 
rob
@DanielSank Lately at least, when I've peeked into the review queue, the close votes I've cast have been fourth or fifth. I guess the queue is showing me the questions that are nearest to closing before the questions. So that's not terribly different either.
 
5:42 AM
oh that's interesting!
 
rob
I think that we're lucky here to have a fairly large community of useful high-rep people.
 
The fraction of high-rep/total-users is probably high here.
That would make an interesting chart.
 
rob
@DanielSank That's the kind of thing that I'd like to be able to extract from the SEDE, but not enough to actually wrap my head around the database structure.
 
6:01 AM
Ok, advices taken. Be warned. While I do try to treat this seriously at the newtonian level, the question does cover a rather taboo topic in physics. As a disclaimer, my expected answer is a mechanism explaining how the device can fail, although I also consider the slim possibility of a surprise
0
Q: Can energy be extracted indefinitely from a mass dipole/mass negative mass pair in perpetual motion?

SecretSome days ago I have read this short piece of article by Hammond which caused me to revisit the theoretical properties of negative mass. It is known that a pair consists of ordinary mass and negative mass of equal magnitude, known as a mass dipole in some sources, can accelerate indefinitely by ...

My major issue in the modelling is it is not clear how entropy is calculated in such system as the total energy of the driving component is zero
 
user228700
Hi, everyone.
 
finally feel a bit alive by not procrastinating
 
Morning :-)
 
I don't have last night dream (because the weather had been oven like hot recently and causing me to sweat and itch like crazy and cannot sleep well)
However, I do have a pretty awesome previous night dream where I saw some strange type of magic
 
6:52 AM
Hii @JohnRennie
 
7:15 AM
Morning :-)
 
7:36 AM
Dear everyone,
Please spend time learning to code well.
You will make other people not unhappy.
Sincerely,
Me.
 
I also have SE t-shirt
it was sent to me when I applied to be a mod once (even though I wasn't elected)
 
0
Q: Dealing with StackOverflow influence

knzhouWhen questions accumulate upvotes quickly, they're put on the Hot Network Queue and shown to people on other SE sites. I've always disliked the 'HNQ effect' because of the way it distorts voting patterns in questions. The vast majority of the distortion comes from visitors from StackOverflow, t...

 
 
2 hours later…
9:31 AM
I wonder why knzhou deleted that meta post
it looks interesting
@rob you don't look like a Rob
Robs have short dark hair
you're an impostor #NotMyModerator
cool hat btw :-P
 
 
1 hour later…
10:50 AM
Hi all
 
11:00 AM
hi
Hi @yuggib
Actually, I always waited for you to join the lounge for I wanted to ask you a question.
Which branch of math are you doing a PhD in? I mean transition from Physics is hard, no?
 
Moe
If I could add my two cents here
depending on your area of theoretical physics the transition is not really hard.
A colleague of mine swapped from string theory to algebraic geometry in his phd
 
Oh, Ic.
 
Moe
So, if you are anywhere near formal qft/string theory the transition to anything geometrical is rather easy.
 
@Moe Are you a Physicist, sir?
 
Moe
The same goes for "formal" solid state
where the transition into analysis is not so hard.
 
11:07 AM
ohk.
 
Moe
I am still learning. Currently doing my phd.
In string theory
 
A PhD in?
Wow!
Nice to meet you :)
 
Moe
Yeah, nice to meet you, too.
And well, I just started my phd ;) I need to finish it first before impressing people :D
 
Haha. What drew you towards the very field?
 
Moe
Ah well, I've always liked that understanding "math" gives you so much insight into the physical concepts in a theory.
 
11:11 AM
Haha. Hi5!
Though my knowledge and imagination is negligible in comparision to yours :P
 
Moe
So for example the connection of conservative forces with the poincaré lemma is really cool in my opinion !
 
Oh.
 
Moe
understanding geometry makes the physics so easy and it is just so powerful that you make so few assumptions and just by following the math get so many exciting predictions (which usually turn out to be true)!
 
Wow. Silly question, does one need euclidean geometry?
 
Moe
and then I found a really cool advisor for my bachelor thesis in qft (who happened to be a string theorist) and I was "hooked"
eh, well, sure.
So what exactly do you mean with euclidean geometry ?
like, triangles ? :D
 
11:14 AM
Like, do you know Ceva's Theorem?
I don't think Advanced Euclidean Geometry has anything to do.
 
Moe
ah that kind of geometry :D
 
Yeah :)
 
Moe
Well, no. I mean that is also "geometry" and in a rigorous formulation it is really interesting. It is a branch of linear algebra and called "affine geometry".
 
Moe
But I always disliked this geometry back in school. I never had a good imagination for this :D
 
11:17 AM
Haha. That happens.
 
Moe
In string theory one works with algebraic geometry and differential geometry.
 
Seems to be cooler.
 
Moe
There you want to describe curved spaces
 
I might be learning them after... 9 years?
 
Moe
But thats harder and you cant really do that without advanced math.
 
11:18 AM
Yeah :D
 
Moe
Well depending on your current level you could start with differential geometry in school :D
there are some easy introductions into stuff like spherical geometry !
 
Lol. I'm still a tenth grader.
 
Moe
should be possible for you !
 
Hmm. Maybe.
 
Moe
if you are interested in it. Spherical geometry is extremly helpful in physics beginner courses and just a good introduction into differential geometry !
But yeah, stay tuned. It really gets interesting if you use the math in physics !
 
11:20 AM
Ahh. Interesting.
I like math. But I would always like to qualify Physics Olympiad before studying anything else :P
 
Moe
:D thats cool
 
Haha.
 
Moe
I was always too lazy for stuff like that. Always so complicated calculations and tricks ^^
 
Yeah. But it is helpful as a certificate to carry out further studies/research.
Like, you get admitted to top univs.
 
Moe
Well, but I have to go. Group is going to get lunch ! cya!
 
11:23 AM
Cya! Same here :D
 
Moe
Yea, thats for sure.
 
@EmilioPisanty So real part of what I wrote $Re[\mathbf{\tilde{E}}] = Re[\mathbf{\vec{E}}e^{i(kz-\omega t + \delta)}] = \mathbf{\vec{E}}\cos(kz-\omega t + \delta)$ where $\mathbf{\vec{E}}$ is real valued since we got it by taking the real part of $\mathbf{\tilde{E}}$. But you are saying that $\mathbf{\vec{E}}$ is not necessarily real, what is wrong the with what I stated? Thanks.
@EmilioPisanty I think you have a typo in your answer. Did you mean "there's no guarentee you can make $\mathbf{\tilde{E}}$ real"?
 
11:40 AM
@SwapnilDas Hi
I have finished my PhD a while ago :-D
I studied (theoretical, high energy) physics in the bachelor and master, and then did a Ph.D. in analysis. Now I am working at the intersection between mathematical physics and analysis.
The transition is not so hard, even if there are many things to learn if one wants to do proper professional mathematics coming from physics.
 
12:18 PM
@yuggib Like...what a proof is? :P
 
12:32 PM
hello
 
@heather hi
did your teacher like your video?
 
One problem of setting some feeds in the chat is that, there is no easy way to restrict the feed further to filter the low quality hw questions. For example, in my chat, I have a quantum mechanics feed standby to help me better grab some quantum stuff, but some of these are those hw questions which is not the questions I am interested in
It will be good if the feed can be customised as "quantum mechanics" and NOT "homework"
 
Theorem: physicists don't understand formal theorems.
Proof: left to the reader. Hint: use induction.
 
@ACuriousMind :-D indeed...but that seems not entirely clear to some mathematicians also
 
I tend to mix up theorems and propositions
 
12:40 PM
@Secret That's because the distinction is arbitrary :P
 
Lemmas are easy, because they always lead to a theorem in a few lines
 
@yuggib I think mathematicians know but sometimes choose to ignore it - the physicist never knew ;)
 
@ACuriousMind that's probably accurate ;-P
 
@AccidentalFourierTransform yep
 
@Secret Probably most people do not know that there are Scholia as well
 
12:42 PM
nice :-)
 
O that, as far as ams papers go, scholia are a very rare term
 
no, scholia is already the plural :-D
of scholium
they are rare, but still exist in some papers, most notably in the papers/books of Irving Segal
 
isnt a scholium just a remark?
 
I resolved years ago to only use "definition", "proposition" and "theorem" if I write a definition-theorem-proof style document.
All those other words are completely unnecessary
 
lemme lament that lame lemma
 
12:47 PM
Meanwhile, rpg.SE gets psychotic again: Fastest way to remove bones from a man
 
@AccidentalFourierTransform no it is far more than a remark
 
@yuggib what is it then? I've never seen scholium used anywhere
 
It's a pretentious remark, judging by the name ;)
 
@AccidentalFourierTransform it's something that expands and further explains a concept/result
 
My habit tend to be prepare a bunch of defintiions and propositions to prove a theorem, and then use these to prove other theorems. If a theorem get too long, I split some of the important parts into lemmas. I also number corollaries in the format a.b where a is the theorem no. it based on and b is the corollary.

Not a very rigoruos mathematicians i am, huh...? lol
 
12:50 PM
but I agree it is a rather pretentious name
 
so... a long remark? I think Im gonna need a scholium on scholia
bc Im not sure I understand the difference
 
That'd be a scholium scholiorum, probably
 
scholium scholiorum scoliosis
i think im gonna go have lunch now
ice cream for lunch it is, because im an adult and thats how I choose to live
3
 
nice
ice cream is the best
 
user228700
Hi, guys :-)
 
1:00 PM
@Kaumudi.H, hello
 
Hi :-)
How are you feeling today?
 
user228700
:-) In the morning I didn't feel much better but I'm OK now...I think. Thanks.
 
user228700
How's ur cold?
 
I'm OK
 
user228700
OK :-) Quick question: Do u own a kindle?
 
1:07 PM
As in, not great but well it's just a cold.
I used to use a Kindle but I switched to using an Android tablet.
 
user228700
Why?
 
The screen is too small on a Kindle. It's only a 6" screen and you can't see much of the page at a time.
Unless you make the font very small, in which case you can't read it anyway :-)
 
user228700
Oh, OK. That seems like a minor problem, esp. given that I don't (/don't wish to) own a tablet.
 
user228700
I'm thinking about asking for a Kindle for my 18th birthday.
 
I've never been able to see a Kindle as something other than a tablet with less functionality
 
1:10 PM
Lots of my friends use them. In fact my Mum uses one. If you just want to read books they work very well.
@ACuriousMind you underestimate how scary tablets are to the uninitiated.
 
user228700
It's small, it can hold many thousands of books at a time and no glare. What more can I ask for?
 
@ACuriousMind Kindle's are idiot proof, even for the more determined idiots :-)
@Kaumudi.H Given the choice of reading on a Kindle or reading on a tablet the tablet would win every tim - by a mile!
But Kindles do work well
 
user228700
But I don't want a tablet.
 
I hate to tell you this, but a Kindle is a tablet. Just a very limited one.
 
user228700
Well, yes, but I don't want a tablet for stuff other than just reading.
 
1:13 PM
@JohnRennie I guess so. I felt really old recently when I visited a friend and his two-year-old daughter can't speak a full sentence yet but has no problem navigating to her favourite cartoon on a tablet.
 
@Kaumudi.H I use my tablet almost exclusively for reading
With just the occasional foray into Chrome if I want to look up something I've just read about.
 
user228700
.__. What's ur point, then? In what ways is a tablet better than a Kindle?
 
The screen is bigger and brighter, and any modern tablet is a lot faster flicking around the book.
 
Buying a tablet with a stylus has so drastically reduced the amount of paper I carry around and simplified the organisation of my notes that I don't really want to go back.
 
I use Aldiko as the e-reader and I find that much nicer thn the Kindle reading app.
 
user228700
1:16 PM
...right. I'm not getting a tablet tho. They're a lot more expensive. I'm more than happy to ask my parents for a Kindle.
 
Once you have thousands of books on your Kindle it's a pain finding any particular book.
Kindle's are good. If you enjoy reading then you'll enjoy reading ona Kindle.
 
user228700
That's all I need :-) They only cost about 5000 rupees.
 
About £50. That seems cheap. I'm sure they're more expensive than that in the UK ...
 
@JohnRennie There's a sizable set of people who strongly dislike electronic reading compared to physical books
 
user228700
@JohnRennie What? Really?
 
Wow, that's a good price.
 
user228700
...there are pricier ones, you know.
 
OK, I've checked and they are £59.99 in the UK so the price is about the same.
The price has obviously come down since the last time I checked.
 
user228700
Yep, OK. So yeah, I've decided what I want for my birthday. This one and a T-shirt that says "Holden Caulfield thinks you're a phony".
 
Google, Google, aha The Catcher in the Rye
 
user228700
1:24 PM
Yeah! I thought u may have read that book.
 
@ACuriousMind I much prefer a paper book for textbooks. I have a PDF of Gravitation but it's almost unusable except as a reference. But for fiction I actually prefer the tablet to a book.
 
@Kaumudi.H I probably read it at school, though I have no memory of doing so.
 
user228700
Oh, OK. It's probably one of my favorite books of all time.
 
I guess it's a good sign when teen memes come from the literary world rather than TV or a vlog :-)
 
user228700
1:26 PM
It sure is :-)
 
user228700
I've read that book about 6 times now. Still so good.
 
@JohnRennie Huh. I much prefer a search function and having it available everywhere, especially for a textbook, I think.
 
I'm afraid CITR falls into that large class of generally contemptible fiction not science-fiction or fantasy.
 
user228700
Yeah, it's not sci-fi.
 
@ACuriousMind Search function. Now let me see, doesn't the paper copy of MTW have one of those at the back :-)
 
user228700
1:29 PM
But contemptible? Again, to each his own.
 
@Kaumudi.H I'm exaggerating for effect.
 
user228700
:-) OK.
 
user228700
BTW, my "Have to read" list will shock you.
 
But I do genuinely have little interest in the touchy feelier end of the literary scale.
 
user228700
Wanna see? :-P
 
user228700
1:30 PM
U might throw up.
 
Go on then ...
I'll get a bucket
 
And my consumption of fiction has been declining since I got out of school. I still enjoy the stories but reading to relax isn't an integral part of my routine anymore
 
user228700
Thirteen reasons why
Anna and the French Kiss
It's kind of a funny story
To kill a mockingbird
The curious case of the dog at night time
The God of small things
The unthinkable thoughts of Jacob Green
The Great Gatsby
We were liars
Are you there God? It's Me, Margaret
The absolutely true diary of a part time Indian
Boy proof
I'll give you the sun
Nick and Noah's infinite playlist
All the bright places
Warm bodies
World War Z
Everybody sees the ants

This world we live in
The shade of the moon
 
@JohnRennie touchy-feely and SFF technically do not exclude each other, do they? :P
 
user228700
Oh, crap.
 
1:31 PM
What? You've just thrown up? :-)
 
user228700
No, I didn't realise it would take that much space :-P Hang on, lemme edit...
 
Hello
 
user228700
There. So did u throw up? :-P
 
@ACuriousMind I think I like books to be unworldly i.e. have some hint of strangeness about them. I've been living in the real world for a long time now and I don't really want to spend my down time reading about it.
So touchy-feely is fine as long as there is that hint of the esoteric in there too.
 
1:33 PM
@JohnRennie With that, I totally agree! Escapism is the prime reason I read fiction.
 
rob
@AccidentalFourierTransform That is so ... wrong
 
@Kaumudi.H I wouldn't criticise anyone's choice of books (apart from possibly to tease them) because reading is such a personal thing.
 
user228700
:-) Of course. I was only asking about the teasing.
 
But few of those books would be high on my list. I read and enjoyed World War Z, though that's kind of a throwaway book rather than a deep one.
 
user228700
Oh, really, a few? Which ones?
 
user228700
1:36 PM
I watched the movie and thought I might as well give it a read sometime.
 
Not:
a few of those books would be high on my list
Just:
few of those books would be high on my list
 
user228700
Ah :-P I missed that.
 
user228700
Of course. Almost none of them are sci-fi. Well, except maybe just World War Z and the last two books.
 
why not "a few"?
 
user228700
 
1:39 PM
I haven't read anything by Susan Pfeffer
 
user228700
Yeah, I know, I've asked u that before.
 
I'm brushing up on my analysis
The secret is
The triangle inequality
Basically everything is done with it
 
@Kaumudi.H thanks :-)
 
user228700
Sure :-)
 
The last book I read was Fever Dream by Samanta Schweblin. Very strange.
 
1:41 PM
The current book I'm reading is book 2 of the orthogonal trilogy
It is the best book
 
user228700
@JohnRennie Ooooh, sounds really interesting!
 
It's a book where the universe has Riemannian signature
 
I read the first book, but it was a bit flat
 
Oh the story is boring and conventional
It's your classic "We must escape this planet because science"
but the physics is great
 
I do generally like Greg Egan's books, but he sometimes lets the science get away from him a bit.
 
1:43 PM
He is a crazy man
 
As I've learned more about physics I find a lot of the hard sci-fi authors get less interesting.
 
Well a lot of hard sci fi is either boring engineering or rather superficial physics
because they can't get too much into details
 
Have you read much by Ian McDonald?
For example Brasyl is hard SF but done really well.
@Kaumudi.H I can give you a copy when you get the Kindle.
You can use the laptop to copy books on and off the Kindle.
 
user228700
@JohnRennie Nice! Thanks very much! ::Bows down::
 
In fact when I used a Kindle I kept most of the books on my laptop and copied them over when i wanted to read them. That makes it a lot easier to organise your book collection.
You just connect the Kindle to your PC with a USB cable and the PC sees it as detachable storage. So just copy the .mobi files as required.
 
user228700
1:49 PM
Awesome! That makes it a lot easier!
 
I have not
 
When you have thousands of books on the Kindle it's very slow finding any particular book, so using your laptop for storing the books is a lot easier.
 
user228700
...I can imagine. It'll be awhile before I have thousands of books and all tho. Something about this whole thing that I don't like is that I have to buy every book.
 
user228700
...some of which I'll never read again.
 
I have to buy every book - I'm saying nothing :-)
 
user228700
1:52 PM
:-) I prefer libraries but they're not reliable.
 
Quick question guys:
I have a cubic spline using 5 interpolation points. If I then add points on each side of the graph, does the function change for the inner points (That's obvious for polynomial interpolation), but is that also true for the cubic spline? might be obvious but just want to be sure
 
Anyhow, I have to get to the bank before it closes so I'm off.
 
user228700
Bye :-) Have a nice day.
 

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