The h Bar

heather

00:02

@DanielSank wow, that was...awesome.

DanielSank

@heather There are more videos by the same dude.

@BalarkaSen lol

heather

i'm watching his automatica one.

0ßelö7

@BalarkaSen does it ever bother you when you don't understand an argument in a paper but can come up with a correct one on your own

Balarka Sen

Nah i just roll with my argument

unless i need that specific argument of course

0ßelö7

@BalarkaSen I know this paper has a serious error (that can be fixed) so now I'm wondering if this argument is correct

Sir Cumference

00:17

I hate how rounding to the nearest tenth means 1.449 turns into 1.4 instead of 1.5

You lose accuracy by ignoring the 9, why would anyone want that?

heather

maybe that .049 doesn't really matter to the result - like how you just round to the nearest cent when calculating percent off because no one pays thousandths of a cent.

0ßelö7

Always round such that you minimize casualties

In structural engineering you increase values by certain percentages just to be safe

Phase

02:35

in structural engineering sinx = x

0ßelö7

03:02

@Phase $x\ge \sin x$ so it's a good conservative estimate

DanielSank

03:15

Hi, everybody.

BAYMAX

Hi

I was reading time dilation!

came across this in Beiser book -

Our discussion has been based on a somewhat unusual clock. Do the same conclusions apply to ordinary clocks that use machinery—spring-escapements, tuning
forks, vibrating quartz crystals, or whatever—to produce ticks at constant time intervals?
The answer must be yes, since if a mirror clock and a conventional clock in the spacecraft agree with each other on the ground but not when in flight, the disagreement between then could be used to find the speed of the spacecraft independently of any outside frame of reference—which contradicts the principle that all motion is relative.

dmckee

@BAYMAX Use a > to introduce a block quotation and you'll get spiffy quotation markup

BAYMAX

I am not getting this sentense - " the disagreement between then could be used to find the speed of the spacecraft independently of any outside frame of reference—which contradicts the principle that all motion is relative."

where to use a> @dmckee?

dmckee

@BAYMAX If a light-clock and a crystal oscillator clock responded differently to motion then by noting when they disagreed you could say 'oh, we're moving in an absolute sense' which is contrary to the principle of relativity.

@BAYMAX At the beginning.

user228700

Hi, everyone :-)

dmckee

03:27

Like this ...

> Everything you read on the internet is true. --Albert Einstein

Which I obtained with "> Everything you read on the internet is true. --Albert Einstein" as the whole statement.

0ßelö7

like 4chan

dmckee

Even it it were like 4chan it wouldn't be like 4chan. Just sayin'.

0ßelö7

what?

BAYMAX

"> The disagreement between then could be used to find the speed of the spacecraft independently of any outside frame of reference—which contradicts the principle that all motion is relative."

0ßelö7

lol

BAYMAX

03:34

did not work?

@dmckee

0ßelö7

remove the quote marks

why did you put them?

BAYMAX

> The disagreement between then could be used to find the speed of the spacecraft independently of any outside frame of reference—which contradicts the principle that all motion is relative.

nice!

If a light-clock and a crystal oscillator clock responded differently to motion - does this mean that they start showing different time measurements to an observer on ground?

user228700

@Balarka: Are you around? (::Prays::)

0ßelö7

Do you need math help?

user228700

@0ßelö7 Yep! Can you?

0ßelö7

03:40

But it has to be Balarka?

user228700

@0ßelö7 No, no, clearly not.

0ßelö7

What do you need?

user228700

I don't understand the definitions that my textbook has set up for the differentiability of mutlivariable functions.

user228700

Shall I upload a picture?

0ßelö7

Does it involve linear maps?

user228700

03:42

I don't know what that is :-P So, no.

0ßelö7

Upload the picture then

user228700

Hang on...

user228700

(This may take a while-you remember that my internet connection is sometimes non-existent?)

0ßelö7

I never forget anything

user228700

Lol.

0ßelö7

03:45

(I've forgotten all the things I've forgotten)

user228700

user228700

HAH! At last! Phew

0ßelö7

Can you just give me the name of the book and I'll download it?

BAYMAX

blue markers:)

user228700

@0ßelö7 Why?! Hasn't the image been uploaded now?

BAYMAX

03:49

I like green markers though!

0ßelö7

@Kaumudi.H Yes but it's half faded

user228700

(I'm sorry that it took so, so long :-/)

0ßelö7

Hard to see

It'll be easier this way and you won't have to upload more pictures

user228700

Ah, dang. Alright, then, I will write using LaTeX.

0ßelö7

Just tell me the book...

user228700

03:51

@0ßelö7 keralatechnologicaluniversity.blogspot.in/2015/06/…

user228700

I'm not too sure if that link works though :-/

user228700

I will write!

0ßelö7

Early Transcendentals?

user228700

Huh?

0ßelö7

Is that the subtitle?

user228700

03:53

What? No, I don't think so.

user228700

@0ßelö7 Wtf, yes, apparently.

BAYMAX

just want to see the query?

user228700

I will write, OK?

BAYMAX

can you write the doubt or mark the query in the pic which ever suitable?

0ßelö7

Just wait a sec

ok I have the book

so what exactly is the question?

user228700

03:56

Right, on page number 82, you'll find those definitions I mentioned earlier. My trouble is with the reason why those definitions work.

0ßelö7

Can you be more specific?

user228700

Yes, hang on.

0ßelö7

(it's good to be very specific with math questions)

user228700

They have defined it for single-variable functions and then provided an analogous definition for multivariable functions so it should be enough to understand the former, which I will now type.

0ßelö7

btw my linear map thing is just this but much easier

have you had a course on linear algebra yet?

user228700

04:00

Essentially, they have stated that a function $f$ in $x$ is differentiable at the point $(x_o,f(x_o))$ if the difference between $\delta f=f(x_0+\delta x)-f(x_o)$ and $f'(x_0) \delta x$ is less than $\delta x$

BAYMAX

ok,on page 82, the definition of derivative is there which can intuitively be thought of a tangent line as $\triangle x \rightarrow 0$

0ßelö7

modulo an absolute value, that is correct

user228700

@0ßelö7 Huh?

0ßelö7

@Kaumudi.H you want $|\delta f-f'(x_0)\delta x|<\delta x$

user228700

Ah, right.

user228700

04:01

My question is this: why? Why is this the case?

0ßelö7

@Kaumudi.H I don't think you're gonna get the answer you want without understanding epsilons and deltas

user228700

Hmm, what about them, exactly? (I did understand the "rigorous" definition of a limit, if that's what you're talking about)

0ßelö7

If you unpack $$\lim_{h\to 0}\frac{f(x_0+h)-f(x_0)}{h}=f'(x_0)$$ you get exactly that.

user228700

Huh, you do?

user228700

How, exactly? :-/

0ßelö7

04:06

user228700

That really does seem quite difficult for me to parse :-/

0ßelö7

his comment about "much smaller" is that $\epsilon$, which is small

user228700

OK, perhaps I should leave this as is and come back to it after my exam, which is tomorrow morning.

0ßelö7

@Kaumudi.H I think you have to suffer through staring at it until it makes sense. That's what I did

Analysis doesn't make sense for a while

You need to write out formally what that limit means, then manipulate that to get what I wrote

It's one line of algebra from the formal definition to what I wrote

user228700

Hmm, right. I will sit down to it after my exam tomorrow is what I said :-P Do you sense the urgency in my tone?

0ßelö7

04:11

I'm giving you tips for when you do that, jeez

user228700

Ah, lol, right (Sorry :-P)

user228700

May I ask another question along the same lines now?

0ßelö7

yes

user228700

My textbook goes on to say that "It can be difficult to verify if a function is differentiable at a point directly from the definition", because of which they introduced a theorem:

user228700

> "If all first-order partial derivatives of $f$ exist and are continuous at a point, then $f$ is differentiable at that point"

user228700

04:14

Is this something that should make intuitive sense? :-/

0ßelö7

no, it is a highly surprising revelation

user228700

Ah, hmm, do you think it will be possible for me to understand this only after I make it through the other stuff we just discussed?

0ßelö7

You won't understand it even then.

user228700

Nice.

0ßelö7

I can give you the proof but it's hard.

Like I said, it's surprising.

user228700

04:16

Ah, never mind it just now, then. I will devote a whole weekend to this after my exams and then, I will ask you for it if I am unable to find it.

user228700

On a later page, they have written this:

user228700

Ah, no, you have the book, don't you? On page 86, they have written definitions for differentials.

user228700

From what I am able to grok, it would seem that they have taken something they said before, turned it around and used it to define these.

user228700

Ah, never mind, it has lots to do with the other stuff.

user228700

Alright, then, I will strut along, attempting to do the problems with these basic definitions, having understood little to nothing on the larger scale, so that I can do OK in tomorrow's exam. After that, I'll come back to this.

0ßelö7

04:22

@Kaumudi.H yes

you're just summing the differentials over the various coordinates

user228700

Yes, right.

The Cat-alyst

can someone please identify the song used at youtube.com/… I mean the instrumental one, not the Daniel Power song.

this is the time I wish I was not blind and I owned a smart phone.

user228700

In any case, @0ßelö7: Thanks so much :-)

0ßelö7

np

The Cat-alyst

youtube.com/… which song is this being used, the istrumental one I mean. if it says in credits or annotation I can't see it due to me being blind, and i can't shazam it because I have no smart phone

it's a nice song, I just asked a question here about it.

Anonymous

04:30

@Kaumudi.H That doesn't seem enough. Probably you need Cauchy Riemann equations along with that.

0ßelö7

@Blue What are you talking about?

Anonymous

Only partial derivatives existing and being continuous doesn't seem sufficient for differentiability

The Cat-alyst

i just asked the question, I'd like to know the instrumental song at youtube.com/…

@0ßelö7 my question is at youtube.com/…

0ßelö7

@TheCat-alyst I have no interest, sorry

Anonymous

@TheCat-alyst Don't expect people to watch videos to answer your question.

The Cat-alyst

04:34

@Blue i put the time stam so it will go right to the song.

keeping in mind there are 8 othe rpeople here.

0ßelö7

@Blue You might need the partials to be continuous in a neighborhood of the point, but the Cauchy-Riemann equations certainly have nothing to do with this.

The Cat-alyst

anyway i just realized that I pasted the wrong ink, musicfans.stackexchange.com/questions/5748/…

Anonymous

@0ßelö7 I supposed she was talking about complex differentiability

0ßelö7

There is no key combination to express my look of confusion right now.

The Cat-alyst

why did this chat appear on the music fans stack echange? lol that's wierd

0ßelö7

04:38

@Blue In the complex case you're right. You need the Cauchy-Riemann equations to hold, and also some regularity on the partials I suppose.

I defer to Conway for specifics...

Anonymous

Okay, lol. We both were thinking about different types of differentiability. For multivariable case her book is right. The partial derivatives would have to exist in a small neighbourhood the point (and be continuous) though. Anyhow, we could just check if the tangent plane exists. :P

John Rennie

@TheCat-alyst Bad Day by Daniel Powter

The Cat-alyst

@John Rennie no the instrumental one not the lyrics

which SE is this room for anyway?

John Rennie

Ah, oops, sorry :-(

This is the Physics SE chat room, but we talk about pretty much anything :)

The Cat-alyst

ironically enough, we were going to use that instrumental song in regards to our thing on the science of the Northern Lights.

we went all the way to NOrway and Nunavoot to get counts of people seeing them, and we had to go down to the US to find out abuot the science behind them.

flight from Toronto to Oslo (with stops) was hell. lol but we survived.

return trip was good

anyway, if y'all know anyone over at music fans can send them to my question please do so, and it's the instrumetnal song I want to identify. I'll let y'all get back to your stuff. thanks.

the video should be ready in late 2018, because we may do more if we find more out this winter and spring.

user228700

04:55

Gah, why must my fate be so terrible as to have horrendous teachers everywhere I go?

John Rennie

Except for here of course :-)

Anonymous

@TheCat-alyst You could ask it on Music SE main site. They can help you out.

user228700

@JohnRennie YES! _/\_

user228700

Also, hi :-)

John Rennie

Morning :-)

0ßelö7

05:00

I need a PhD dissertation from 1951

god help me

@JohnRennie how the heck can I get it

John Rennie

@Kaumudi.H Sadly I'm going to be a little busy for the next couple of hours. It's the Windows update weekend and I have a lot of servers to fix.

The Cat-alyst

@Blue here's where I asked it, musicfans.stackexchange.com/questions/5748/… hopefully i can get an answer there because that song is perfect for our documentary on the NOrthern Lights.

even thuogh I'm blind, when I used to see I loved looking at the Northern Lights.

so fascinating the stories and the science behind it we have learned in makign this, and we still got more to do, but for sure I would love that instrumental song in that video. any ideas by the way for the northern lights documentary?

any stories or cool scientific facts for us to investigate?

message me if you have anything, and if you know anyone who can answer my question, musicfans.stackexchange.com/questions/5748/… thanks, good night

Anonymous

@TheCat-alyst I edited that question so that you get better answers (musicfans.stackexchange.com/questions/5748/…). Also, I'm really sorry to hear about your medical condition. Hope you will receive an answer soon. Good luck. :)

Anonymous

The edit will be peer reviewed I guess before someone accepts it.

0ßelö7

05:16

@JohnRennie I searched the university's library database and didn't find anything

should I email the subject librarian?

John Rennie

Universities generally keep copies of all theses, so yes I'd ask the library staff

0ßelö7

@JohnRennie I'm not about to go to Chicago, what are the chances they'll scan it and send it to me?

John Rennie

No idea. You can but ask.

BAYMAX

05:33

derivation of time dilation using inverse Lorenz transformation ?

any good reference?

user228700

05:46

@JohnRennie Ah :-( Well, have fun!

user228700

BTW:

user228700

:-P

user228700

06:41

user228700

Can anybody please answer a question of mine related to interference using the reflected system of thin films?

user228700

While calculating the path difference, they've multiplied that path length with the respective refractive index of the medium. I realise that this should be quite intuitive but at the moment, I am unable to understand why this has been done.

John Rennie

The pah length is in wavelengths i.e. it's the number of wavelengths that matters.

And the refractive index reduces the wavelength

user228700

OH, ah, hmm.

user228700

@JohnRennie But those lengths aren't in terms of wavelength, no?

Anonymous

06:53

@Kaumudi.H Do you know what optical path is?

Anonymous

It's just that.

Anonymous

Optical path length

In optics, optical path length (OPL) or optical distance is the product of the geometric length of the path light follows through the system, and the index of refraction of the medium through which it propagates. A difference in optical path length between two paths is often called the optical path difference (OPD). Optical path length is important because it determines the phase of the light and governs interference and diffraction of light as it propagates. == Optical path difference (OPD) == Optical path difference corresponds to the phase shift undergone by the light emitted from two previously...

user228700

AH. THANKS!

user228700

(Yes, I realise that I am an ass for having forgotten what I studied last year so quickly)

Anonymous

@Kaumudi.H If in the medium with refractive index $\mu$, the number of wavelengths present is say $N$ (in a width $W$), then in vacuum/air the same number of wavelengths would be present in a width $\mu W$

Anonymous

07:02

We are interested in the equivalent optical path in free space.

Anonymous

@Kaumudi.H No problem. You can ask if you still have some confusion remaining. By the way, this concept is not intuitive at all (at least for beginners).

user228700

@Blue Right, right, I understand all this. Where my problem lies is in understanding how multiplying by the refractive index gives us this optical path length in terms of wavelength.

Anonymous

@Kaumudi.H I don't know what you mean by "path length in terms of wavelength". Read my previous sentence once again.

Anonymous

3 mins ago, by Blue

@Kaumudi.H If in the medium with refractive index $\mu$, the number of wavelengths present is say $N$ (in a width $W$), then in vacuum/air the same number of wavelengths would be present in a width $\mu W$

user228700

Yes, yes, this is what I mean.

Anonymous

07:06

Okay. I hope you understood now. :)

user228700

My question is about how multiplying by $\mu$ gives us this result.

John Rennie

If $\lambda$ is the wavelength in vacuum, then the wavelength ina medium is $\lambda/n$.

Anonymous

@Kaumudi.H Oooo. Answer this: What happens to the wavelength of light when it moves from air to an optically denser medium?

John Rennie

So in a distance $d$ the number of wavelengths is $nd/\lambda$

Anonymous

Yeah. That ^

Anonymous

07:09

The wavelength basically shortens. So in a smaller width you can accommodate more wavelengths (in an optically denser medium).

user228700

Ah, yes, I understand it now. Thanks so much :-)

Anonymous

Great!

Wrichik Basu

08:05

@Blue what book are thou using for Adruino?

Or can anyone give a beginner level book in Adruino?

Balarka Sen

08:20

@Kaumudi.H I am now. Is there anything that went unanswered?

@Blue Yeah it is. That's the main theorem in multivariable differentiability.

Jut having the partials is not enough, but partials being continuous is enough to guarantee that the Jacobian is the derivative.

user228700

@BalarkaSen Hi :-) Lots, really, but that's only because I haven't sat down with it for any more than 20 minutes at a stretch. I will do that and get back to you, thanks.

Balarka Sen

Fair enough, fair enough.

user228700

Is there a book (other than that of Ted's) you'd recommend?

Balarka Sen

Not nearly anything as lucid, I'm afraid. The world lacks quality multivariable calculus books, as sad as it is.

user228700

Ah, hmm. How did you access his book?

Balarka Sen

08:32

Library access stuff

user228700

Huh?

Balarka Sen

hm I know Rudin has a chapter on multivariable calculus but I think it's bad, let me have a look

@Kaumudi I mean it's not available online; you could check out at the university library for the book

user228700

@BalarkaSen Oh, excellent, fat chance :-/

user228700

Thanks anyway :-)

Balarka Sen

As I said, there's not many easily accessible good multivariable texts out there

It's a pity but so it is

John Rennie

08:41

Right, that's pretty much all the debris from last nights server updates cleared away. It has only taken me four hours. And now for some COFFEE! :-)

user228700

@JohnRennie FOUR!

user228700

Yes, you do deserve all of the coffee!! :-)

user228700

@BalarkaSen :-/

John Rennie

The life of the computer nerd ...

It's not all hacking the Pentagon's computers and downloading pornography.

user228700

:-)

John Rennie

08:45

This has been stuck for half an hour now - I'm really hoping this will clear itself, but it's not looking good ...

user228700

Oh, no :-/

John Rennie

It's OK. At the end of the day it's not my problem. I get to hand it over to our engineers :-)

user228700

And they will kick and scream tomorrow morning :-)

Ben Niehoff

oh boy, involuntary system updates!

Balarka Sen

I hate Windows updates

Ben Niehoff

08:57

on a laptop, all updates are kind of annoying, because your machine is only on when you want to use it

Balarka Sen

yeah but system updates on windows are especially hard to abort

Ben Niehoff

you mean impossible

the best you can do is delay them a few hours

John Rennie

Ah ... we have progress! It looks as if it's OK and just taking a very long time to complete the updates.

Balarka Sen

true

the little pieces of updating shits

user228700

@JohnRennie Relief! :-)

John Rennie

08:59

@BalarkaSen Sadly updates are a necessary evil as the recent WannaCry virus showed.

Ben Niehoff

what do you run Windows Server for?

John Rennie

@BenNiehoff my job is to babysit about 600 servers spread across the UK

Ben Niehoff

oh, I see

Balarka Sen

@JohnRennie true enough

John Rennie

@BenNiehoff Though as it happens I do run my own servers for various reasons

Ben Niehoff

09:01

I have a server at home for files; it runs FreeNAS but I think I will change to some flavor of Linux

Balarka Sen

ooh bunt who 101

John Rennie

Run whatever OS you're most familiar with. I've been using Windows since Windows NT 3.1 was released in 1993, so I know it pretty well now :-)

Ben Niehoff

I've also been using Windows since 1993, but I was 11 at the time :P

John Rennie

You young whippersnappers :-)

:: John waves his zimmer frame in the air ::

Ben Niehoff

zimmer frame?

John Rennie

09:09

Zimmer frame

Ben Niehoff

oh, we call that a walker

Balarka Sen

@Avantgarde I got a song recommendation for you. Here.

Definitely a decent to strong 8

Fawad

09:32

Hi @JohnRennie . In van de graaff generator why potential inside is constant? E=0 then V=0 (since V=Ed). Potential shouldn’t be 0?

Balarka Sen

@Fawad E = -dV/dr, actually. Since the electric field is zero inside a conductor, the potential is constant.

V = E x d is a special case of the above for potential at a point in an electric field generated by a test charge.

So that's not relevant here.

privetDruzia

09:53

Hello

The goal of the formula:

$distance = |\hat{w^T}(x_n-x) |$

is to get the distance from the point x_n to the blue hyperplane

yet it is unclear to me why they are multiplying with $w^T$ rather than using the pythagorean theorem

Could somebody explain this?

Fawad

@BalarkaSen thanks :)

Anonymous

10:19

@privetDruzia Dot product with the unit vector gives projection of $(x_n-x)$ in the direction of $w$.

Anonymous

That projection is equal to the distance from the plane.

privetDruzia

@Blue Yes, but why not use pythagorean theorem instead?

you have a triangle with a 90degree angle if you'd "project" $x_n$ downwards to the hyperplane

Emilio Pisanty

-1

Q: Straw in the carbonated drink

Could anyone explain how it works? When a drinking straw is placed in a glass of carbonated drink, it can rise up, sometimes toppling over the edge of the glass. Investigate and explain the motion of the straw and determine the conditions under which the straw will topple.

buoyancy

Dupe, no?

Anonymous

@privetDruzia Because we try to avoid making simple things complicated.

privetDruzia

@Blue ok I see. So my approach would have worked as well?

Anonymous

10:24

Yes

privetDruzia

thx

Anonymous

@WrichikBasu I'm learning from the internet. There's an IOT specialization course on Coursera. That one.

privetDruzia

@Blue lol, folks please... if you are working on a serious project, don't use Arduino

Arduino is a toy.

Anonymous

@privetDruzia Thank you for the advice.

John Rennie

@Blue :-) As in Thank you for your advice. I will consider it carefully before ignoring it :-)

Anonymous

10:36

Well, I'd like to know if you can suggest any alternative. :)

Mithrandir24601

@Blue raspberry pie?

privetDruzia

@Blue ARM, AVR, PIC. But just avoid using the arduino libs

rpi

You could write C on an "arduino controller" (which is an AVR), without using the libs provided by Arduino, which seems much more reasonable imo

Anonymous

@Mithrandir24601 Yes, I'll be learning to use that as well. Anyway, I don't think I can directly use Arduino or RPi for my research. I will have to make a lot of modifications and implementations. As of now, I'm learning the basics.

privetDruzia

What are you trying to do?

Anonymous

Sep 9 at 7:55, by Blue

@JohnRennie My plan was to use Arduino/Raspberry Pi to create a home automation system for Wireless Charging. I need to detect the location of a device and send directed energy packets. I'll probably need to buy a lot of sensors, antenna and other stuff though. The main problem would be the physics part....i.e. preventing energy loss and generating enough power of atleast 0.01W. (Phones need around 1W) I might use capacitors to store energy. But I haven't worked out that plan as yet.

privetDruzia

10:44

If you are a beginner: good luck you ll need it

Anonymous

@privetDruzia Thanks

privetDruzia

Unless you find some ready software online for arduino which does everything for you

How are you planning to detect the location of a device?

Anonymous

Real-time locating system

Real-time locating systems (RTLS) are used to automatically identify and track the location of objects or people in real time, usually within a building or other contained area. Wireless RTLS tags are attached to objects or worn by people, and in most RTLS, fixed reference points receive wireless signals from tags to determine their location. Examples of real-time locating systems include tracking automobiles through an assembly line, locating pallets of merchandise in a warehouse, or finding medical equipment in a hospital. The physical layer of RTLS technology is usually some form of radi...

privetDruzia

At least you didn't say GPS...

Anonymous

...

privetDruzia

10:49

How good are your C programming skills?

or did you just start with this as well? together with learning how to work with Arduinos

Anonymous

@privetDruzia What type of answer are you looking for?

privetDruzia

I am a beginner, I am an expert with 10 years of industry experienc, I am OK I can easily make binary trees

Anonymous

@privetDruzia OK

Anonymous

The third one

privetDruzia

In that case, I think things look OK and you could finish your project very quickly if you use arduinos

that project shouldn t be too complicated

Antenna directivity might be important. Curious to know how much a change in directivity will influence the quality of charging

How accurate will the wireless tags your are going to use be?

Anonymous

10:53

@privetDruzia As I mentioned, the hardware control using Arduino isn't the tough part. The physics part of it will be tough. The main problem is I can't use directed beams like lasers as that would be harmful for the human body.

Anonymous

@privetDruzia I haven't planned that yet. One step at a time.

privetDruzia

I think your best bet would be a antenna with an appropriate directivty in order to minimze losses.
Current systems with wireless charging are always via near field

Anonymous

@privetDruzia Yes. That's what I had in mind.

user228700

Hi, again. I waited 10 minutes for this page to load >.<

user228700

No? None of that sweet, sweet sympathy? Alright, then :-(

Anonymous

10:59

@Kaumudi.H Lol :P

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