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02:00 - 09:0009:00 - 18:00

2:34 AM
@CaptainBohemian I'm in Homeopathy, so, I don't think any kind of mental problem would actually be an issue for me.
^Alcohol based homeopathy, not water based
 
3:10 AM
@abhas_RewCie this would be sad except its their own government allowing their country to be our guinea pigs
@CaptainBohemian no, its a different kind of virus from the usual flu family, and besides, people who got last year's flu vaccine are not even immune to this year's flu (not even considering covid)
 
 
2 hours later…
5:10 AM
@CalvinKhor In my opinion, there's nothing much to worry about. President and their family members were the first to try it.
So, if they trust their docs, then we can do (to some slight extent)
 
yeah nothing to worry about, just their arms fall off at 3 months and they only tested for 2 months, nothing to worry about @abhas_RewCie
 
@CalvinKhor They'll first try on their own people before exporting... LMAO... So, it should take already more than 4 months.
China also came up with a vaccine, I won't use it.
 
I also "came up" with a vaccine, i just tested it a little less than other groups @abhas_RewCie
@abhas_RewCie yeah we'll see lol
 
@CalvinKhor Apparently, contrary to what people are talking, we don't need a COVID Vaccine, that'd not eliminate the virus... :-(
 
Why not? herd immunity is one way to stop it (as long as there's only people-people spread...) @abhas_RewCie
 
5:20 AM
@CalvinKhor Herd Immunity is not a good strategy for COVID
Herd Immunity only works then more than 50% of the herd becomes immune to some virus
that's not happening in the case of COVID
They are being temporarily immune to COVID then again vulnerable to it after some time.
@CaptainBohemian foreigners too...
 
@abhas_RewCie this is if herd immunity is the only strategy, right? And what data do we have now of the rate of waning immunity? I haven't looked into the more recent data...
 
@CalvinKhor you probably mean antibody testing
 
@abhas_RewCie with a vaccine if its cheap enough you could give it every idk 3 months or something until its dead
 
Different countries have different rates
 
@abhas_RewCie no, i'm talking about the parameter in front of the number of immune in the SIR model with vaccinations
 
5:27 AM
@CalvinKhor $R_o$ value?
 
no, thhe SIR model + vaccinations is an ODE system for S,I,R, a bunch of other things maybe like an Exposed class E, and also a vaccinated class V
 
@CalvinKhor SEIR Model?
 
the simple model, you assume that you are vaccinating some proportion p of the susceptibles S
and then at some rate q, V returns to the S class
i'm asking about q, if there's any data to support what q is
any such data would probably be coming from checking when the R class returns to S
 
Virus modelling without Antibody testing would be inaccurate...
 
i read a bunch of the preprints when the models started appearing but i got overwhelmed by too much info and stopped checking
 
5:31 AM
All Models SIS. SAS, SEIR and SIR
 
@abhas_RewCie OK, so you're saying is, we don't have good data on the rate of waning immunity. So I still think herd immunity is a good shot
 
@CalvinKhor I'm not supporting Herd Immunity, I'm saying it's foolish... It may work for Poxes or Swine Flu like virus, but not COVID
Herd Immunity works with an assumption that more than 50% of herd is immune to the virus
which would never happen, as
No one is permanently immune to COVID19 virus
 
(A) booster shots (B) you just told me, we are not 100% sure how good the immunity can or cannot be
(C) as I said, you can do with less thhan 50% if the population does other things
 
See, in just 50 days of entering of Virus in India, they've discovered that the virus mutated 30 times... So, with such high incredible mutations, we may not have a single vaccine that'd eradicate whole world from covid19
I didn't get (C)
 
this assumes that you know the mechanism for the vaccine to work is modified by the mutation
 
5:37 AM
yep
Example - L Cells enzymes change shapes and can't be blocked from reproduction with single molecule.
*same molecule
 
(C) put the army outside and shoot any people on the streets. Now you only need to vaccinate the army + epsilon. Extreme example and ignores realities like food delivery etc but the point is other interventions can lower the effective population at risk and only 50% of those people or whatever need the vaccine
What I've seen is that even though it has been mutating, the way the vaccines hope to work have not been affected significantly (though i guess this is old news)
 
Yes, targetted vaccination (if this is what you mean) is the chief strategy
Kim Jong Un liked your suggestion, he's promoting you as his chief assistant!
 
no, i said vaccination in combination with other strategies reduce the critical threshold needed of the total population for herd immunity to take place
 
has become biology chat lol
 
Yes, that'd definitely work for smaller places like Europe, but not in case of India, we have 1/6th of the whole world sitting at a single place
 
5:43 AM
@abhas_RewCie lol you know very well what "extreme example" means, I'm hoping to appeal to some sort of intermediate value theorem...
 
still feeling sleepy good night
 
@SpecterProphet night lol
 
@SpecterProphet okay, wake your alarm clock in the morning
 
@abhas_RewCie i have no idea how india is doing or will do
 
5:45 AM
@abhas_RewCie alarm clock wake me not me wake alarm clock
 
@CalvinKhor World's 60% of Vaccines are made in India.... So, there are mass manufacturing strategies...
@SpecterProphet Okay, then wake the sun before you sleep
 
@abhas_RewCie don't tell them to stop making vaccines cuz herd immunity is hopeless
@SpecterProphet why set the alarm if ur gonna sleep again :P
 
:)
@SpecterProphet Some Random Indian Politician, This Morning I woke up at night!
I'm glad that this fellow wasn't elected...
 
6:30 AM
Imagine using MacBook Wheel as a Quant
 
@abhas_RewCie I don't say you would have a mental problem. I just say emotion is the brain's perception of certain bodily changes in response to a stimulus, so we can't really control our emotion. Whether you are happy or not can't be controlled by your will.
 
macbook wheel is such a vintage meme
 
@CalvinKhor have you had a flu vaccine injection?
 
6:49 AM
the meme is actually analogous to real apple these days
 
7:02 AM
@CaptainBohemian I always want to but I keep forgetting
@CaptainBohemian when I was a student it would have been free, but i just forgot, now i have to pay
 
@CalvinKhor really? how can that kind of thing be forgotten?
 
why not, its not mandatory
 
It's only free for old people probably.
 
and as i said, students :P
 
I have never want to have that vaccine.
 
7:05 AM
its not exactly a positive effect like free lunch, its to prevent a negative outcome
 
and have never had that vaccine. Only children can have some free vaccinations in school.
 
so my brain didnt tell me it was important
the vaccine only lasts about 1 year
 
I remember only students before entering senior high school can have free vaccinations in school.
and flu was never one of those free vaccinations when I was a child.
 
yes, even now its more rare to have flu vaccine for free
this is because if u get a flu, mostly its OK, u just stay home and be useless for maybe a month lol. and also the fact that its not so useful after about 1 year
 
the school would test whether each student needs some kind of vaccination.
but the school never forces each student to have some kind of vaccination.
 
7:10 AM
@CaptainBohemian Medicines exist!
 
@CalvinKhor Hi there!
 
it issues a notice to you to be checked if you want to have some vaccine, but that notice is to be checked and signed by your patents, not you. But I think that's not rational, because children should also have their right and shouldn't let their parents to decide what to do to their body.
 
@Knight hello!
 
also, not all parents are good parents because parenting is not a licensed job.
 
Just a sec I’m coming on Computer
 
7:14 AM
k
 
mcgrawhill 342 page book 100$ but 800+ page just 10$
 
@SpecterProphet whats this?
 
lol the book I showed u yesterday cheaper than rudin
 
Let's do some Analysis
 
@SpecterProphet lol
 
7:16 AM
If $y$ is near to $y_0$ then prove that $1/y$ is near to $1/y_0$
 
@SpecterProphet if you want the maximum number of pages per dollar, buy some single ply toilet paper
 
I recall in senior high school. our school even required our parent to sign our decision of choosing studying science group or society group. So absurd!
 
@CalvinKhor lmao
 
HAHHAHAH
 
I don't want to mess with delta epsilon again
 
7:17 AM
I still remember how NoseBleed irritated Calvin just by asking him to remove his messages
 
our parents would not be responsible for the consequence of our studying in science group or society group.
 
It made me to die by laughing
 
@Knight do you allow me to interpret that as "give an epsilon-delta proof that $f(y)=1/y$ is continuous at each $y_0\neq 0$"?
 
@CalvinKhor Actually, I have so many questions regarding it.
 
OK, lets begin then lol
though actually can i have 5 minutes i need to go do something
brb ill be back sorry
 
7:19 AM
The first question is why I need to show
$$
| 1/y - 1/y_0| \lt \epsilon
$$
@CalvinKhor No problem!
 
what is $\It$
 
@SpecterProphet presumably \lt l, not capital i, "less than"
 
it's we ourselves who are responsible for our decision of studying in science group or society group because we need to look for positions on own own, not by parenrs, after graduation,
 
@Knight that question looks to me like you need to formally state what "is near to" should mean
@Knight that's why I asked if I could re-interpret the question
@Knight ok brb for real
shouldn't be more than 5 mins
 
I use le for less than it sucks to use it
 
7:20 AM
@SpecterProphet \le = ≤ , \lt = <
 
my Chinese teacher in senior high school was somewhat against my choosing to study in science group.
 
then why don't directly use < lol
all of my teacher are against me for being autodidact
 
Mathematics already has a lot of numbers... where the heck alphabets came in!?
 
yeah infinite numbers u can use number to assign number no need to use alphabet
number could be used to represent binary operation
ex $1_1=3$
 
Now I understand why all of your teachers were against you for being autodidact...
 
7:24 AM
or u don't need =
 
@abhas_RewCie I have never had any medicine which claims to be able to change human emotion. I want to experience emotion naturally in order to understand how much I like a thing or hate something.
 
$1_1^13$
 
@CaptainBohemian Homeopathy Medicines are capable of doing that (my experience, alcohol based, not water based).
It won't change your emotions but hateful things won't come to your mind and you'll start feeling extremely lighter and +ve
 
I hope one day I could go to lone planet and become the father of mathematics in that planet
 
Hoping they won't invade earth for more fathers like you...
 
7:27 AM
@abhas_RewCie but I hate my original home city - nothing there makes me happy.
 
@abhas_RewCie How's your health these days brother?
 
@CaptainBohemian Only +ve things will come to your mind, like that.... for example - Natrum Mur
@Knight doing great... correcting sleep cycles...
 
Oh okay
 
@SpecterProphet If you're posting somewhere where html code is also valid input, then < followed by > may cause the browser to think it is a html tag
 
7:29 AM
Nu.. <noscript>this text won't be rendered by the browser</noscript>
 
@CaptainBohemian why?
 
Cal you're back?
 
XSS Attack....
 
yes
 
Okay, so even I don't know what "near to" mean there.
 
7:30 AM
@Knight unlike speaking with your mouth, things you say in this chat can be found by people in the future
OK, then I propose the question I mentioned earlier
13 mins ago, by Calvin Khor
@Knight do you allow me to interpret that as "give an epsilon-delta proof that $f(y)=1/y$ is continuous at each $y_0\neq 0$"?
 
@CalvinKhor because I performed notoriously poorly at her Chinese course.
 
@CalvinKhor Did I say something offensive somewhere?
 
@Knight no, not at all, I'm suggesting that you didn't have to wait for me to come back to say that
@Knight sorry i confused you
Continuity is supposed to encode this idea of "inputs are close implies outputs are close"
 
@CalvinKhor I'm sorry but I shall not be able to follow it coz continuity is still to come.
 
There was a guy called something like why who what where which.... where's he now?
 
7:33 AM
@abhas_RewCie He was suspended because our friend @FakeMod messed with him :)
 
Why? suspended for what?
 
He was funny but people in the h bar called him an advertisement
 
@Knight well I had to guess if it was continuity or limits :P both are kind of encoding this intuition
still rudin?
 
@CalvinKhor No, Spivak
 
I told him not to go to h bar... He didn't listen to me
 
7:34 AM
oops spivak lmao
 
Rudin >> Spivak
My opinion
 
@abhas_RewCie he was suspended for what in his name
 
Cause Spivak is too formal for newbies... Rudin is ez
k
 
OK well. limits are supposed to encode this idea of "inputs are close implies outputs are close" :P
 
Limits means that the graph has a hole of small size... So small that it can't be measured
 
7:36 AM
there does not need to be a hole
 
Let me write something up:
 
Limits help us to find the values of those holes by filing holes
 
@CalvinKhor No need for limits at reals for such cases
 
I don't follow lol
 
7:37 AM
except for infinity... limits can fill the holes in those graph...
 
so limits make discontinued function a continuous function 👏👏👏 analysis reshaped
 
you seem to be talking about removable singularities, maybe lets not go there yet with Knight
 
ok
@SpecterProphet ha ha :)
 
some parents are that kind of fool who can never help their children look for positions.
 
$$
|y - y_0 | \lt \frac{ |y_0|}{2} \\
|y| -|y_0| \lt \frac{ |y_0|}{2} \\
|y| \gt \frac{ |y_0|}{2} \\
\frac{1}{|y|} \lt \frac{2}{|y_0|}$$
Now, we have
$$
|1/y - 1/y_0| = \frac{| y_0 -y| }{|y y_0|} \\
\frac{| y_0 -y| }{|y y_0|} \lt \frac{|y_0|}{2} \times \frac{ 2}{y_0 ^2} \\
\frac{| y_0 -y| }{|y y_0|} \lt \frac{1}{|y_0|}
$$
 
7:40 AM
second line?
You can't do that way....
 
@CaptainBohemian parents do enough for their kid i think kid should learn to be parents but not exactly parents
 
Second line looks right to me?
 
@SpecterProphet no, some parents are that kind of fool children should never follow.
 
$|a-b| < c \not \Rightarrow |a| - |b| < c$
 
@CaptainBohemian 你的汉语水平怎么样
 
7:42 AM
I missed something?
@CaptainBohemian +1
 
I don't understand simplified chinese
 
@abhas_RewCie |a- b| < c then |a| ≤ |a-b| + |b| < c + |b| so |a|-|b| < c
 
I neither understand complicated chinese either
 
@CalvinKhor good in junior high school, but never studied Chinese in university.
 
okay
makes sense
 
7:43 AM
in fact | |a|-|b| | ≤ |a-b|
i.e. $f(x) :=|x|$ is Lipschitz continuous with Lipschitz constant 1
 
I will keep staring at exact equation until I give up
 
@Knight what about this calculation?
 
@SpecterProphet I was following the same strategy last time, till the equation got deleted
 
@CalvinKhor It just proved that $1/y$ is close to $1/y_0$ within $1/y_0$
 
7:46 AM
yes, but that's not good enough
 
Yes
 
and also i really detest how imprecise this language is :P
 
(keep it for later lol)
 
(trying:P)
 
some parents only know to make money by bank and have never been engaged in a profession and thus can't help their children seek a position in their fields at all.
 
7:49 AM
so in your calculation, you needed to make $|y-y_0|$ smaller than something, so that the potentially bad term $1/|y|$ could be controlled. After you do that, you used the same bound again to directly control $|y_0 - y|$. Do you think this could be improved? @Knight
 
@CalvinKhor You mean the last second step?
 
I cannot understand "last second". Is it the last step? the second step? The second last step?
The step done at the last second?
 
The thing written just above the final thing
12 mins ago, by Knight
$$
|y - y_0 | \lt \frac{ |y_0|}{2} \\
|y| -|y_0| \lt \frac{ |y_0|}{2} \\
|y| \gt \frac{ |y_0|}{2} \\
\frac{1}{|y|} \lt \frac{2}{|y_0|}$$
Now, we have
$$
|1/y - 1/y_0| = \frac{| y_0 -y| }{|y y_0|} \\
\frac{| y_0 -y| }{|y y_0|} \lt \frac{|y_0|}{2} \times \frac{ 2}{y_0 ^2} \\
\frac{| y_0 -y| }{|y y_0|} \lt \frac{1}{|y_0|}
$$
 
well I tried to summarise the argument so that we didn't need to refer to that
but i guess so
 
Okay! So, how to improve that?
Any suggestion?
 
7:54 AM
Yes
 
I am that kind of person who can't work well if there is no food supplied to me first after I get up in the morning. So everything food first.
 
suggestion is as in the above; you reused one bound at two different steps. Why not have two different bounds, one for each step?
 
Okay, so what bound should I use for the latter one?
 
@Knight whatever it takes to get the answer
 
some parents are that kind of fool who never serve their children breakfast but still want them to help them read something.
 
7:57 AM
so take a look at what you want to prove... for each epsilon>0, there exists delta>0 such that if ... then [ need to prove this thing ]
 
HERE WE ARE! What's the answer? What does it even mean to get the answer in this case? Do you mean we just want a fancy looking e called epsilon at the RHS?
 
the mathematics shouldn't care what notation you use, but normally there's an epsilon there
@CalvinKhor by this comment I just wanted to copy the definition of a limit
 
But that epsilon should not depend on any other thing, right? It should come uninfluenced only from us
 
yes, the thing you have power over is delta
earlier you chose $\delta = |y_0|/2$
i'm saying you can do better
 
$\delta \lt 1$ ?
 
8:01 AM
that would be worse if $y_0$ was small
 
yo
 
@satan29 hi
@Knight what quantities are $\delta$ allowed to depend on?
 
@CalvinKhor $y_0$, or any other natural number.
 
@satan29 I am eating to solve hunger.
 
@Knight no, $\delta$ is allowed to depend on $y_0$ and $\epsilon$. (the dependence on natural numbers isn't really a dependence)
 
8:04 AM
okay
 
if your parent asks you to do things without serving you a meal first, you can justly turn down.
 
If you use only the first step to deal with 1/y you end up with
$$ \left| \frac1y - \frac1{y_0} \right| <\frac{2 |y_0 - y|}{y_0^2}$$
 
Yes
 
Then you use the choice of delta, which you haven't decided on yet, you get
$$ \left| \frac1y - \frac1{y_0} \right| <\frac{2 \delta}{y_0^2} $$
and you want this to be $< \epsilon$. What $\delta$ to pick?
 
some parents are that kind of fool who only provide bus ticket for their children to do things for them; they don't know their children need food to work well.
 
8:06 AM
How about
$$
|y_0 - y| \lt \frac{ \epsilon~ y_0 ^2 }{2}
$$
??
 
no, you want to choose $\delta$ such that $y$ in the $\delta$-neighbourhood blah blah blah
$|y_0 - y| = \epsilon y_0^2 / 2$ is an equation describing exactly two points
 
does that correction of = with < make us done?
 
$|y_0 - y| < \epsilon y_0^2 / 2$ would do fine, yes, but this runs into a problem, earlier we already needed $|y-y_0| < |y_0|/2$. What now?
 
I had that kind of fool parent who would check to approve me to have any kind of vaccine in school.
 
$$
\frac{\epsilon~ y_0 ^2 }{2} \lt \frac{|y_0|}{2|} \\
\epsilon \lt \frac{1}{y_0}
$$
 
8:11 AM
hmm how would check $\frac{dy}{dx} + p(x)y = 0$ is exact lol
 
@Knight you don't get to restrict $\epsilon$
 
@CaptainBohemian Sorry to hear that
 
@SpecterProphet integrating factor $e^{\int_0^x p(t) dt }$
 
@CalvinKhor I thought the same thing, so what to do now?
 
nono use primitive method
to check
taking partial derivative
 
8:12 AM
Its equivalent to $d/dx ( exp(\int\dots) y ) = 0$, hence its exact
 
but the derivative ${dy}{dx}$ is kinda making me confused
 
@Knight my school said children who have cold shouldn't have vaccination, and I had a cold in elementary school so often, but I still always had vaccination.
 
I take partial of 1 in terms of x or include the derivative and take partial
 
@Knight you use the freedom to choose a smaller $\delta$. a little abstractly, you want both $a<\delta_1$ and $a< \delta_2$. If you can find $\delta_3$ such that $\delta_3 \le \delta_1$ and $\delta_3 \le \delta_2$, then you're done
 
@CaptainBohemian It's great to see that you and your sister is no longer influenced by your past, it's just reminiscences that makes you sometimes sad.
 
8:15 AM
may be u r right I should use exp(x)
oh crap u r right
 
@SpecterProphet I don't know any other way. Its product rule but "in reverse"
 
@CalvinKhor I need to make $|y- y_0|$ small, right? but how small?
 
If a function $f:X\to X$ is defined such that $f\left(f(x)\right)=x$ $\forall x\in X$, is $f$ necessarily bijective? Intuitively I think it should be, but I can't prove this rigorously.
 
how small is $\delta_3$, such that $\delta_3 \le \delta_1=|y_0|/2$ and $\delta_2=$ that other thing with epsilon
 
nonono I will not blindly accept i will keep staring
until my brain rewires and shows me true clear path
 
8:18 AM
@Manan yes it is. Surjectivity is obvious, and if $f(x)=f(y)$ then $ff(x) = ff(y)$ and then apply the given identity we get $x=y$
 
@CalvinKhor Thanks!
 
@CalvinKhor Now, I cannot reason anymore. I request you to please give the solution. It's time...
 
some parents are that kind of fool who consider their children can stave off hunger only by instant noodles.
 
do you know this function? $M(x,y) = \begin{cases} x & x\le y \\ y & y\le x \end{cases}$ @Knight
 
Min (x,y)
 
8:22 AM
ok the problem is I forgot integrating factor lol
 
it should be useful when we want a third quantity smaller than two others @Knight
i.e. $\min(x,y) \le x$ and $\min(x,y) \le y$ @Knight
 
Okay
 
I don't think vaccination is something so important and missing a vaccine isn't a big deal.
but that fool parent pressed me on any vaccine in school.
 
I need to go now Calvin! I need some sleep.
 
I disagree, i am in favour of dictator medicine
@Knight ok! cya
@Knight do you consider it solved?
 
8:26 AM
ok now i remember integral factor is derived by product rule
 
@SpecterProphet yup
 
finished the noodles.
 
@CaptainBohemian nice?
 
I think food is more important than vaccine.
@CalvinKhor yes.
but I doubt it will sustain me for long because it has only 491 calories.
 
eat more
lol
 
8:30 AM
some parents are that kind of fool who treat medicine and injections as more important than food.
they will ask the doctor to give their children an injection even without serving their children food.
 
Holy sht i have literally forgotten everything
this is how u feel math when u forget everything
 
some parents are illiterate and can't read English.
well, they can't even hear to understand English.
but I don't know if the definition of illiterate applies to being unable to hear to understand as well.
 
good now i understand ;u;
 
@SpecterProphet gj
 
8:45 AM
@CalvinKhor lol
 
some parents mainly speak dialects instead of official language or English.
even though their children mainly speak some official language and English.
@abhas_RewCie What does +ve mean?
 
ok i understand integral factor in exact equation but forgot what integral is used for
 
I seem to never feel full after instant noodles.
that fool parent loaded in home a ton of instant noodles for my sister when I was in graduate school.
 
@SpecterProphet integrating factor? integrals in general are used for a lot of things...?
 
u find solution to answer u forget question and when u know the question u forget the solution . My mind is really doing good job.
@CalvinKhor hehe I mean the exp(integral blabla) oh now i remember u can us ln() and do what u want to do
vaugely saying
 
8:53 AM
ya
 
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