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12:00 AM
@meer2kat Some people don't like sweetened lemonade
 
@TheEmperorofIceCream hahahaha do it~
 
Also sugar is not good for you
 
@ᴇʏᴇs then why drink it? if you don't like it plain or with sugar, just drink some water. surely life musn't deal it to you and you can find it on your own
 
@meer2kat What would you do with it
 
how many slices of bread does a triple sandwich have?
 
12:03 AM
@TheEmperorofIceCream 2?
 
@ᴇʏᴇs drink it?
 
do you know what triple or sandwich is?
 
@TheEmperorofIceCream 4
 
@Owatch I agree
 
12:05 AM
@TheEmperorofIceCream count them ^^^
 
That is a double sandwich.
 
Isn't that double?
 
@TheEmperorofIceCream They are supposed to be examples of triple sandwiches as found on google.
 
Who is mass upvoting me rofl
 
don't believe everything you see on the internet
 
12:07 AM
@ᴇʏᴇs??
 
wut?
that is really confusing
So how many slices does a quadruple sandwich have
?
 
@TheEmperorofIceCream: 144
 
no 6 for each person
hmm that went from joke to obvious
 
12:11 AM
I'm not prepared for this
 
@TheEmperorofIceCream My mom when cooking never consider the ingridients counting each gram, not, but all after taste. You know, if referring to a soup is also very important to know what kind of water you use. Depending on that you might not like to add the same amount of salt as you previously did.
 
Sorry i didn't mean to fry any braincells
 
I don't know if the cookers around that world cared too much about the way a mathematician defines what a triple sandwich is.
 
I'm just really confused, apparently there is no official established number of slices in a $k$-wich
But I think it is undisputed that a $1$-wich has two slices.
and a $0$-wich has $1$ slice , $0$-wiches are also called toasts
 
I do believe that a double capuccino is more than twice the size of the normal one
very strict
 
12:15 AM
You are going to get banned if you don't stop serial upvoting roflmao
7 upvotes is kinda dangerous :P
 
rolling on the floor laughing my ass off.
 
8
9
@ᴇʏᴇs Is this you or not lol
 
@Committingtoachallenge brb
 
10 upvotes
@ᴇʏᴇs Stop it lol, take them back
Take back the upvotes or I might get suspended
 
hmmm, today I did more research than work on my book. Doing research is even more fascinating than writing books.
 
12:19 AM
Doing research is definitely the funnest thing in math
 
Yeah, it is.
 
(research to me is just learning by exploring, not novel research)
 
True.
 
Research to you is novel so that is extra cool I imagine
 
I do research for a long period of time. After publishing my book I might return to some of my results some years before from other area.
 
12:23 AM
11 upvotes from the mysterious serial upvoter
 
@Chris'ssis Research for what?
 
What area is that @Ch?
 
@Ropstah Research for an important old problem.
It's late here. Tomorrow (I mean today) I have some tutoring in the morning.
I'm out.
 
Haha ok
 
12:47 AM
Hi @MikeMiller
@meer2kat Do you think lemons or limes are more sour
 
@ᴇʏᴇs lemons
 
@meer2kat Do you know how they make pink lemonade
 
@ᴇʏᴇs magic aka chemistry
 
@meer2kat But why pink
 
What section of my complex variables textbook should have mobius transforms?
 
12:49 AM
to make it more appealing
 
It doesn't seem to be in my book
 
@Committingtoachallenge We learned it just before halfway through the semester
@Committingtoachallenge Maybe after Riemannian spheres?
 
morning @ᴇʏᴇs
 
Hi to you to @Mike
 
Morning @Committing
 
12:52 AM
@MikeMiller Have you seen that amwhy, amzoti, sami are banned for 6 months?
 
No. I try to stay out of site politics, though, and I've never even spoken to any of them.
 
Oh okay, fair enough. Amzoti is extremely helpful and doesn't seem to care about rep at all, so I was pretty shocked. But yes, the site politics are a lot of trouble.
Mobius transforms are one of the most important elements of early complex analysis I thought
But my text doesn't seem to have them..
Oh I see
 
Yea, those and holomorphisms
 
We call them 'linear fractional transformations'
 
lol
Makes sense I guess...
 
12:55 AM
Well atleast I can start studying them haha
 
My professor said they are super important like 10 times during the lecture but never explained why
He just told us to memorize the formula by heart
Impeccable motivation
 
way back in my early middle school days my maths teacher told us we would study the quadratic formula so hard that we would have nightmares about it
dear lord that was nearly a decade ago
 
Yea..I still use the quadratic formula this semester for number theory lol
 
it never leaves
 
I use it still for many things
 
1:06 AM
@Committingtoachallenge because I had to to get it working quickly.
Trust me if you go your entire life without learning PHP, bullet dodged.
It's like going your entire life without having a prostate exam from a lepper who walks away with 9 fingers afterwards, you've lived a good life, you don't need that.
 
Why is it so bad?
 
You can google that
"PHP a fractal of bad design" is a good start
night
 
Anyone familiar with N body simulation?
 
What language to learn then?
What can I use to make my own websites optimally?
 
@Committingtoachallenge You can learn Python.
Lots there, Flask is a good microframework for web apps.
Django too.
 
1:15 AM
Can I use python to build a website though, I don't understand how websites run the code
 
Yes you can.
 
I don't get it? Do I buy a domain, and give it a file that it runs on startup?
 
There are several components involved.
First, you would need to buy a domain name.
This means going to any registrar and purchasing a domain name you want. These are more like subscriptions. And you will pay yearly to keep the domain name. The registrar will give you an account, and you will be able to tell the servers where to point to the webserver.
If you do not have a website, the domain does not point anywhere. And will return an error, or depending on the registrar, a page with informatiom saying the website is under construction.
The webserver that will host your website will be handled separately. But sometimes a registrar will also host your website for you. This means you will rent space on their servers in which your website will be hosted. That is actual files and code. You will instruct your registrar to have your domain point to the IP address of this server you are renting. That way, people entering the website in the URL bar will get directed to that server through the registrars DNS servers.
Once they arrive at the webserver, it will serve them the pages, and the website will be loaded onscreen.
Renting space on servers is more expensive than a domain. And you will pay monthly or yearly for it. You can go cheap and have it hosted on virtual servers, which means several other websites will also share that machine. Or pay more and have your own machine.
 
How do I get it to run my python stuff though?
 
You will have to install Python on the server, or have them install it for you. Then it will be "deployed" on the server itself. I am not aware of the specifics on this.
 
1:26 AM
That seems strange. What is an example big time program made in python?
 
I believe reddit uses django.
pinterest (I believe) uses flask for it's API/
 
What is usually used for websites?
What is this chat page using?
html?
 
HTML is used everywhere I believe.
But you can write static HTML pages easier
You can write them in notepad, and load them in your browser.
These frameworks allow more flexibility in the sense that they can connect your webpages to databases, peform logins, manage user account, ect.
 
@Committingtoachallenge: what do you want?
 
Something a static page does not do.
 
1:30 AM
I'm a programmer
 
@Ropstah I want to know what language I should start learning for webpage design
 
@Committingtoachallenge Depends on what kind of website you want
 
I know almost nothing about coding, other than in matlab, mathematica, minitab
 
Probably PHP and JS. It's not well liked, but it's the standard as far as I know.
 
@Owatch PHP is apparently garbage though?
What should I use if I want to make websites with databases?
 
1:31 AM
i wouldn't start with php
 
PHP/SQL
 
I have not worked with it, but I hear a lot of complaints about it.
 
i'd start with ruby or node js
those frameworks get a lot done very quickly!
 
So Ruby by itself is good for database in website design
 
I am not a webprogrammer, so I can only give you so much advice.
 
1:32 AM
I want to make a website and have a database attached to it
Just for fun
 
haven't worked with any of em btw, if I'd promote what I practice it would be .NET
yeah then go for node js or ruby
 
I think that for you, Python would be a good start.
 
or .net also possible
 
If you want.
 
what system do you run?
locally
python is also very good btw
 
1:33 AM
I will buy a domain I think, I don't know how to host a webpage off of my pc
 
very easy to run a webserver and connect to database
ok then you need a webhost
you don't want to host from your pc
 
@Committingtoachallenge You cannot host it yourself.
 
you can get free hosting
 
Not unless you pay for a business line.
 
it is possible but no need
 
1:34 AM
But what you can do is host it on your LAN, and access it from other computers on your wireless network.
For fun.
 
this should set you up with a basic plan
Yes what @Owatch says is not a bad idea
 
I was starting to learn PHP with code academy and it was really fun, is there an equivalent cite for learning that runs my code on the website while teaching me?
 
it gives you a good overview of how a "web application" works in conjunction with the http request/response protocol (which is basically a long standing program accessed by multiple users in parallel)
 
The downsides of hosting it yourself is that you A: Do not have a static IP (You will need to always check and update your registrars DNS servers with the new IP) (That can take hours to come into effect) B: It's highly insecure. C: It's very slow. You're on a consumer line, and these webservers are on high end gigabit fiber lines reserved for such uses.
 
@Ropstah Thanks I am checking it out
 
1:36 AM
then the difference between 'running a webserver locally' (hosting your application locally) and copying it to a webserver of a webhost (hosting it remotely) doesn't make a lot of a difference
 
@Owatch In australia most IPs are static
 
Are you sure?
 
Don't overthink the issue..
 
@Owatch Yep, my IP is static
 
That is an odd practise.
In any case, there are still other problems.
 
1:37 AM
1. Develop locally (on local webserver -> 127.0.0.1, you can map it to any 'name' in your hosts file e.q. mywebsite.local)
 
@Owatch But I'll just go with Ropstah's suggestion
 
2. When done, 'deploy' your application
 
If you seriously want to host a website, and not something for your friends, you will need to go through a web host.
Otherwise they can always access your website by entering your static IP into their browsers
Providing you set it all up correctly, and you give them your WAN IP, they should be able to reach it fine.
 
@Owatch: that won't work 'out-of-the-box' if you are behind a router
 
Well, he will need to port forward I assume.
 
1:39 AM
you'd need to forward IP/port etc
yes
But running locally is a very good idea, if you also have a remote webhosting account and incorporate the 'process-of-deployment' (which more or less means copy-paste at this stage) you actually have a rather solid thing going on which works on multiple environments (which is an issue of itself in web development)
@Owatch, i've also had the same IP for the last two years (NL).
 
NL?
 
Netherlands
know your isos :P
 
Oh yes, .nl
I am familiar.
 
:)
 
rug.nl
Thats how I know
 
1:44 AM
Groningen
 
Yes.
 
Thanks for your advice guys
I must go to class now!
 
Ok.
 
A question: I'm asked to find $x$ and $y$ such that $x + iy = \sum_{k=0}^100 i^k$, I know I must use the fact that $i$ is somewhat cyclic with order 4, but how can I count the amount of divisors of 4 from 1 to 100?, I could run a python script, but I guess there must be a smarter way than brute force.
 
@Miguelgondu You can do that by hand. =)
 
1:51 AM
@infinitesimalsimplicio I posted a new track on my profile. check it out if you get a chance, it's awesome.
 
@PedroTamaroff $i^0 = 1, i^1 = 1, i^2 = -1$, do you want me to continue? =)
 
@Miguelgondu My point is, you have to split the numers from $0$ to $100$ in the residue classes modulo $4$.
Then count how many elements each class has.
That's it.
Well, wait.
Another option is to use the geometric series.
 
@PedroTamaroff Still an awful lot of work by hand, I'm getting my script ready.
 
Your sum is $\frac{1-i^{101}}{1-i}$.
@Miguelgondu If you think that's an "awful lot of work"; I have bad news for you...
And $101=1\mod 4$.
So your sum is...?
 
so, the sum is 1.
 
1:53 AM
Are there real numbers for which we don't know how to calculate the decimal representation?
 
@AbstractionOfMe Yes. Google "computable number".
 
Ah, right. Thanks.
 
@PedroTamaroff still thinking algebraically, my bad. Thanks.
 
@meer2kat correct
 
@MickLH hi mick!
long time no see
 
2:03 AM
@meer2kat Yeah I was thinking the same thing, was cool to see you on :)
 
@MickLH yeah :)
 
Can't sleep, brb
 
2:16 AM
@PedroTamaroff Pan's Labyrinth's a nice film, are you into videogames?, Guillermo del Toro is making a game with Hideo Kojima, a horror game.
 
@Miguelgondu I don't like horror games.
 
@Miguelgondu Kojima got fired from Konami this past week. There's no news on whether Silent Hills is still happening.
 
Any idea why my rank shot up 3 all time in the past few weeks? Were there suspensions?
 
@MikeMiller that's some bad news, hadn't heard that. Why did they fire him?
 
2:21 AM
@Miguelgondu Wasn't making enough money. MGS5 took five years and isn't going to make them as much safe, secure money as they can in their other investments (gambling and health products). They'll probably move towards cash cow mobile games like many other companies are.
 
@ThomasAndrews Yes, probably because four users with some reputation were suspended.
 
@N3buchadnezzar That's not really helpful...
 
Is there anyone here already who's into geometry?
 
@MikeMiller What a shame, PT got pretty good attention. I'm not into horror games, but I enjoyed the MGS saga.
 
2:23 AM
also amWhy a little further up, not sure if there are others
 
Me too. I'm afraid they might just start making yearly installments of MGS without him, but if they do, I'll just ignore them. They'll be crummy.
 
That's sad. :( Thanks @Pedro @Paul
 
@ThomasAndrews Yes, it's sad people don't play by the rules.
 
@Ropstah i don't like it but may be able to help
 
@PedroTamaroff In regard to how much effort the OP has provided. I am happy to help, as long as OP shows any work.
 
2:26 AM
@N3buchadnezzar What's the point of topping lazy posts onto lazy posts?
 
Do the people get their rep back after the suspension is over? (just curious, don't care much one way or the other)
 
@meer2kat: i'm addicted :)... I'm trying to figure out some properties about the dodecahedron, especially those when constructed from the unit circle
 
@PaulPlummer They do.
 
I used to play competitive bridge, and knew a guy banned for cheating. Winning was very important to him. And he was sure of his superiority. @Pedro
 
@PedroTamaroff What is the point of fully answering questions posted by lazy people?
 
2:28 AM
@N3buchadnezzar Creating an internet base of useful knowledge.
2
 
A dodecahedron can be inferred from 'metatron's cube', however it's in a certain projection, i'd like to rotate the dodecahedron over the x-axis until a regular polygon shows orthagonally
 
@N3buchadnezzar There are two purposes for Stack Exchange. One is to help the asker, and to create a kind of wikipedia of answers for all future seekers.
 
I'd like to know if the resulting regular pentagon inscribes a circle perfectly
 
@Pedro Thanks
 
@ThomasAndrews I'll give the OP some time to attempt the question himself before "jumping" the gun.
 
2:30 AM
@PedroTamaroff: And what if you think that the best answer to a certain question - for the given asker and for future askers - is to provide partially complete answers? Someone engaging with the subject (again, OP or another) should be able to complete these answers.
 
user143442
why is $\{(x,0) : x \leq 0\} \cup \{ (x, \sin(1/x)): x>0\}$ connected?
 
@MikeMiller I don't understand how your question interplays with the above.
 
@user Try to write down a disconnection.
 
@meer2kat, i have written a question about it actually: math.stackexchange.com/questions/1200986/…
 
Of course I do like some incomplete answers.
I wasn't really asking for a complete answer, just a useful one.
 
2:31 AM
@N3buchadnezzar Me too, and I don't always give complete answers myself. Quite often, I give just the start, or a hint. But I keep in mind the value of completeness.
 
@Ropstah i'll try to look at it later tonight
 
OP can punch that in W|A and get the same answer.
And perhaps get steps too!
 
Thanks!
 
It seemed to me that's what you were objecting to. I didn't read carefully.
 
user143442
I know the proof only for $A=\{x, sin(1/x)):x>0\} \cup (\{0\} \times [-1,1])$
 
user143442
2:33 AM
using that $\{x, sin(1/x)):x>0\}$ is connected and dense in $A$
 
The proof should not be much different.
 
user143442
but I'm having trouble with the new part
 
user143442
$\{(x,0) : x\leq 0\}$
 
@PedroTamaroff wolframalpha.com/input/?i=int+%28x-1%29%2F%28%28x%2B1%29*sqrt%28x^3%2‌​Bx^2%2Bx%29%29
 
this show has a way of just making me laugh because the chances of things happening is so absurd and then they happen
 
user143442
2:34 AM
I can't find a connected subset which is dense
 
@PedroTamaroff Both maple and Wolfram return an answer in terms of elliptic integrals.
 
@user The point is that you run into trouble with a neighborhood of zero. It suffices to show that the complement of any neighborhood of $(0,0)$ is not open. Try to do this with similar ideas.
 
@N3buchadnezzar Should've added "probably." =)
 
@PedroTamaroff one of the few it can not handle. So my answer is semi useful :p
 
2:39 AM
Gute nacht
 
@Owatch schlaf viel.
 
user143442
Let $X=\{(x,0) : x\leq 0\} \cup \{x, \sin(1/x)):x>0\}$. Let $B(0, \epsilon)$ be an open disk around $0$. Then $B(0, \epsilon) \cap X$ is an open neighborhood of $x$ in $X$. We have $(-\epsilon, 0) \notin B(0, \epsilon)$, and every neighborhodd of $(-\epsilon, 0)$ intersects $B(0, \epsilon)$. So the complement of any open neighborhood of $0$ is not open.
 
user143442
is that right? @MikeMiller
 
Da.
 
user143442
2:43 AM
I still don't get how it helps
 
Err, what's your definition of connected?
 
user143442
there are not two open disjoint sets whose union is $X$
 
Yes, that's mine too. Think about what you just proved again. If there were disjoint open sets whose union is $X$, one would contain $(0,0)$...
 
user143442
but then I won't use the hint :(
 
user143442
the fact that if $X$ contains a connected dense subset then $X$ is connected
 
2:47 AM
Oh.
The union of two connected sets, whose intersection is nonempty, is connected.
 
user143442
yes that's the other hint
 
user143442
I mean, the hint is to use those two results
 
user143442
16 mins ago, by user
I know the proof only for $A=\{x, sin(1/x)):x>0\} \cup (\{0\} \times [-1,1])$
 
Then my approach is not the desired one, though it works just as well.
 
user143442
16 mins ago, by user
using that $\{x, sin(1/x)):x>0\}$ is connected and dense in $A$
 
2:50 AM
Instead of doing $A$, just use $A = \{x, \sin(1/x): x > 0\} \cup \{(0,0\}.$
 
user143442
but that $A$ is not dense in $X$
 
user143442
its closure is my first $A$
 
I've said all I will. Stop and think for a bit.
 
user143442
Actually I've thought of it all day :S
 
@user One time I thought about the density of Q in R for 2 weeks and I couldn't get it
 
user143442
3:03 AM
I think I already got it
 
user143442
$\{(x,0):x \le 0\} \cap (\{(x, \sin(1/x)):x>0\}\cup\{(0,0)\}) \neq \emptyset$
 
user143442
and both are connected
 
user143442
since $\{(x, \sin(1/x)):x>0\}$ is connected and its closure in $X$ is $\{(x, \sin(1/x)):x>0\}\cup\{(0,0)\}$.
 
user143442
so their union =X is conneted
 
1
Q: What does $\Bbb{Z}/(2) \times \Bbb{Z}/(3) \times \dots$ do?

Enjoys MathTake the product of rings $M = \Bbb{Z}/(2) \times \Bbb{Z}/(3) \times \dots$ over the primes or in general take any infinite set of quotient modules of a ring $R$ and form their product. It's true then that a copy of $R$ lies in the product. So $\Bbb{Z}$ lies in the infinite product, M. Can an...

 
3:25 AM
I have started a practice answer (poisson possibility distribution), which gives me the question:
In a community of 1000 people, what is the (annual) probability of 7 births? What is the probability of 7 deaths? What is the probability of 17 births? 17 deaths? (Round your answers to four decimal places.)

For this I tried: (e^(-500)*500^7)/7! = 0. The problem is that the answer is 0.0019. Could anyone help?
 
3:40 AM
I feel like such a $M \otimes_R \circ N$
 
3:51 AM
can anyone help me with a simple proof? haha
 
damn it im stuck with my algebra :(
 
whats the problem?
 
if you have 2* (x/2)
that is = x right ?
 
yes!
 
so if you have 7 * (3/7) is that also = 7
or 3 ?
 
3:54 AM
21/7 = 3
 
ohhh
i think i know my mistake then
thank you :P
 
yeah :)
 
hm
still getting the wrong answer
damn it
 
hmmm...
 
its an assignment so its awkward to just ask
 
3:59 AM
its okay to ask
 

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