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10:00 AM
Let $X_n$ be a random variable that depends on $n$ and suppose $E[|X_n|] = O(n)$. Then can we say $E[|X_n|^2] = O(n^2)$?
 
10:11 AM
Absolutely@feynhat
 
@robjohn Do you mean delta x or x increases sir ?
 
@SrijanM.T $x$ increases, then $\Delta x\gt0$
 
Like this
 
In that diagram, $y$ increases as $x$ increases
That is not ALL cases
 
@robjohn Ok.o
I got this. As x increase , the y increases
So , do they come inside the delta x
or delta x shifts ahead
 
10:16 AM
In the picture that I drew, $y$ decreases as $x$ increases
 
@robjohn Yes sir. That is because of the way the curve is drawn. It is down. I got that one
 
it is not the way the curve is drawn, it is how the function behaves.
 
Ohk.
 
You cannot make $y=-x^3$ be an increasing function by drawing it differently
 
So , we have two diagrams here as I am getting it. One is the textbook one. As x inc , y inc and as x dec , y dec. second one is what you drew , where it is right to say that as y inc , x dec and as x dec , y inc
So , is this comment right
 
10:20 AM
The diagrams are of two different functions. One is an increasing function (the book) and one is a decreasing function (mine). I drew mine to show that not all functions are increasing
 
Yes ok.
 
In a decreasing function, no matter whether you go from point $A$ to point $B$ or you go from point $B$ to point $A$, the $\Delta x$ and $\Delta y$ will have different signs, and so $\frac{\Delta y}{\Delta x}\lt0$
 
Ohk. So , the 1st comment in my book is about increasing function and second about decreasing function graph
@robjohn ok.
 
@SrijanM.T yes
 
Ohk
Thanks a lot sir for help and your time.
It didn’t say exactly that they are talking about two different graphs , how did you predict it ?
 
10:24 AM
you have to look at what they are saying. $\Delta y=y(A)-y(B)$ and $\Delta x=x(A)-x(B)$
 
Ohk.
 
if $\frac{\Delta y}{\Delta x}\lt0$ the function is decreasing. if $\frac{\Delta y}{\Delta x}\gt0$ the function is increasing
 
Yes. Right.
I will make sure to check like this.
 
you can switch the order of $A$ and $B$, it won't change that ratio
 
@robjohn Ok.
 
10:26 AM
You have to use the same order when you compute $\Delta x$ and $\Delta y$, however.
 
Aah ok.
Ok then. See you later sir.
 
night
 
10:38 AM
Hello
 
11:01 AM
Can I ask if these chat rooms are calling MathJax or is it just mine?
 
11:13 AM
@soupless you can use the bookmark in any room
you just have to run it in each room you want it, and after you reload the page
 
@robjohn I mean I didn't use it yet, but the maths just start rendering
Even after reloading the page
 
you must be using something else. It doesn't render without something additional
what browser?
 
I installed Tampermonkey, but it doesn't have anything
@robjohn Google Chrome.
 
I am pretty sure that Chrome does not render MathJax automatically
 
Oh. I found it. It is an extension called 'TeX All the Things'. I am so sorry. I was just really scared.
I have it disabled, but I don't know when I enabled it.
 
11:56 AM
@robjohn do you know what the area enclosed by $\log^2(x)+\log^2(y)=1$ is?
 
Guys im looking for a result which gives me uniform convergence of a sequence of functions taking values in a metric space.
Basically Arzelà–Ascoli
 
@geocalc33 All I know is just the minimum and maximum for $x$ is $1/e$ and $e$, respectively. Similar to $y$
 
12:28 PM
@geocalc33 I tried to solve it, assuming that you referring to $\ln x$. I think it is $\left(\dfrac{e^{2}-1}{e}\right)^{2}$
Maybe just ignore it. It has a high chance of being wrong
 
12:55 PM
Guys m if we notice here. The red line.
Above the summation symbol , It should be N-1.
Because where they xi , end value is b-delta x. =(a + (N-1)delta x)
Pls confirm
 
1:50 PM
I want a gyroscope grill
 
@geocalc33 I get $\sqrt2\pi I_1(\sqrt2)=2\pi\sum\limits_{n=1}^\infty\frac1{2^nn!(n-1)!}=3.995237067748030317529759897$
where $I_1$ is a modified Bessel function of the first kind
The sum is a better form, in my opinion.
 
2:15 PM
why do you prefer the sum? @robjohn
 
2:31 PM
Does anyone know if this theorem also gives uniform convergence of a subsequence ?
im trying to reconcile it with en.wikipedia.org/wiki/…
 
@Monty Can you specify what the sets mean there
What is the space that the u_n have values in
sigma is the topology I guess?
 
a topological space
equipped with a metric d
and topology sigma
sigma induced by $d$ I believe
I thought Ascoli-Arzela was all about getting uniform convergence ( and have seen people quote this exact theorem to get uniform convergence ) but when I read the theorem I only see pointwise convergence...
Its driving me crazy for a couple days now
 
Why do they write sequentially compact
it's just compact in a metric space
Ok, it's equivalent, still
 
exactly
and it is a metric space.
 
I also don't see how exactly uniform convergence follows. Maybe it's buried in the proof?
 
2:39 PM
did you see the wiki link
 
yeah... uhh
 
the title non-continuous functions
 
look below
this isn't supposed to be continuous so uniform convergence cannot be the case
 
wait what?
 
(if u_n are continuous themselves, which should be a special case of the theorem)
Cannot was badly phrased, but I think discussing uniform convergence is missing the point. I don't think the intention is getting uniform convergence out of it. The point of uniform convergence is getting a continuous function from a sequence of continuous functions
And here the theorem gives a continuous function (up to a measure 0 set) anyways
 
2:44 PM
I needed uniform convergence for my own purpose
If I combine the two theorems
dont I get uniform convergence of a subsequence u_n ...
 
@geocalc33 I don't know. I never studied Bessel Functions, so I only know them as sums, so why not just use the sum. Also, there are just so many Bessel Functions, it's hard to keep them straight.
That sum converges very quickly, also.
In any case, it is quite a bit less than soupless' answer
 
3:19 PM
If a>0,b>0,c>0 and a+b+c=and, then at least one of the numbers a,b,c exceeds......
 
and
 
bessel functions are like bernoullis. too many to keep straight.
 
@robjohn any hints?
 
or gauss's theorems.
 
@leslietownes I know where the Bernoulli polynomials come from. I use them with Euler-Maclaurin Summation
 
3:21 PM
which bernoulli? without looking it up.
 
Do you mean which Bernoulli as in which person?
 
yeah. i hate quizzing people, it's jacob, but it could have been any one of them.
i always wonder what it would be like to have a famous math name in a math class. like what if your last name was gauss. imagine the stuff you'd get from your classmates.
i wonder if names go out of style because of that. like, a positive version of the phenomenon that adolf isn't a very popular name anymore.
"i'm sorry, i went through too much, i'm not naming my kids einstein."
 
If we consider a>b>c
We can say a+b+c>3c ----> abc>3c -----> ab>3
--a>b--
 
Hello again
 
that's why i changed my name from boole.
 
3:29 PM
aa>ab
 
@Rover you say "a+b+c=and", what does that mean?
 
Can I ask about the graph-like figure when clicking the 'room' link?
 
@robjohn did I, oh sorry that's a+b+c=abc
@robjohn It became autocorrect
 
when i was in law school i joked about what my dad, "senator [my last name]," would have said about something. the person asked what state. i said i was joking. i learned that his dad was a senator. i think he thought i was making fun of him, but i wasn't. just had very bad comedic luck.
 
@soupless a graph of the messages over time
 
3:30 PM
that's funny :-)
 
@robjohn Is it the number of messages/ activity?
 
i mean what are the odds? very low.
 
its so much safer to make jokes in a more homogenous country
smaller more homogenous country
 
i think that's the problem. i've inherited a comedic tradition that doesn't suit my current environment.
my grandfather was something else. he was an insult comic with a heart of gold. he loved just trashing on people that he just met, and they loved it too. he was asked to give speeches at graduations and funerals and stuff. people couldn't get enough of him.
it was exasperating for his wife.
 
@robjohn are you at all familiar with basic differential forms stuff on Riemann surfaces?
 
3:33 PM
my in-laws in-laws have a few kids,the same family has a billy and a william. when i was introduced i burst out laughing thinking it was a joke...
 
@anakhro very, very rusty. Better to ask Ted.
 
My beloved Ted.
 
def need to work on my cultural sensitivity.
 
Saint Ted, patron of wayward math students.
 
have some other good such stories, but they cannot be told here.
 
3:34 PM
Father Ted, maybe.
 
:-)
captures the reality pretty well
 
Also, another question. I am answering a homework about integration (the very basic ones, basic integration by substitution, in particular). My question might be inappropriate, but is it "Let $u = \ldots$. Then, $du = \ldots$." or my wording is bad?
 
i'm more of a Bishop Brennan.
 
:-)
stupid windoze update. excuse me.
 
soupless, i think that sounds fine. it's weird that there isn't a notational convention about this.
i had an instructor who would do something as follows
 
3:36 PM
@robjohn any idea?
 
integral = <large brackets with substitution u = blah, du = blah, or v as well with integration by parts>
newline, [the result].
and then further = whatever on new lines.
it was not optimal but i tended to use that when i taught.
if i were writing in prose i'd probably do what you did.
 
@Rover so far you've gotten that $ab\gt3$, what does that tell you?
 
@leslietownes Oh. Is it like "proof is left in the reader", but not stated?
 
that was quick.
 
@copper.hat they just needed a bit of windex
 
3:38 PM
@robjohn what ? a>b aa>ab a>(3)^1/2
 
it's just a tough question of presentation. often in elementary math classes you want to present things as series of equations. not a mishmash of equations but LHS = RHS1 (for reason x), newline = RHS2 (for reason y), newline RHS3 (for reason z). and substitution has this thing where, you do have to do computations separate from the line of reasoning to support it.
it invites chaos and confusion.
 
:-)
 
and the usual presentation style for students in introductory math classes is just, equations all over the place. if you end in 0 = 0 you know you got the right answer.
 
@leslietownes Ok, got it. It's either the solution is very elaborated or just like "proof is left to the reader" or "the solution is your assignment/homework". I can't do the last two since it will be my teacher who reads it, so I will have to go do the first one
 
if demonstrating work for an instructor, ideally, all of the computational stuff should be included, even if it is "boring" and not really the point.
 
3:42 PM
I remember giving a seminar at Princeton and I was talking about $A^p$ weights, and I was talking about the quality of being such a weight, and only once did I say "A-p-ness"
2
 
not because it's a great way of presenting math but because some math instructors are captious
 
I am sure I turned completely red
 
that's funny. in my multivariable calc class the instructor kept saying "F u," "F u," "F u," over and over. part of it was a language barrier. the class was in stitches. i emailed him to tell him what it was about. he thanked me.
 
@leslietownes Yes, that is certainly true.
@robjohn I almost r/wooshed myself, but then I got it
 
@Rover The last one looks like a good one
@soupless yes, it helps if you read it out loud
 
3:45 PM
someone next to me kept a tally of how many times he said it. it was over 10 times.
 
@robjohn I did this which is weird because I really don't have an idea: $$\int_{\frac{1}{e}}^{e}\int_{\frac{1}{e}}^{e}\left[(\ln x)^{2} + (\ln y)^{2}\right]\,dx\,dy$$
 
it was some chain rule thing, F(u,v) with u and v functions of other stuff. i'd say F OF u, v. and be sure to say the v shortly after.
 
@leslietownes Well, if you really say it over and over, the 'of' vanishes
 
well, to protect young ears and young minds, it ought not to.
we've reached the moment of the morning where my wife asks me to turn down my doom metal. "but i can't hear the bass if it's not this loud," i say. she wins every time.
 
@soupless The area that was in question was this one.
But this was my favorite one.
 
3:53 PM
@robjohn I apologize. I took it without any context
 
@soupless No need to apologize.
 
@robjohn But will it work though?
 
@Rover when they are equal you get $a=b=c=\sqrt3$, so I would bet that is the minimum of the maximum
from experience in calculus of variations
 
@robjohn Huh? Sorry, I don't understand what you are saying
 
if $a+b+c=abc$ and $a=b=c$ then $a=b=c=\sqrt3$
if all three are less than $\sqrt3$, I bet you can show that the sum is greater than the product
 
4:01 PM
I think @Rover should be the one
 
@soupless crap, sorry
 
@robjohn No need to apologize. :)
 
@soupless did you watch the undulating triangular torus?
 
Yes, it is so mesmerizing
 
it is.
you feel sleepy...
very, very sleepy...
 
4:04 PM
You feel like your head will hurt, though it was worth it
 
i like watching eversions of the sphere.
 
4:53 PM
Every planar cut through an ellipsoid forms an ellipse
@leslietownes I put together a playlist of sphere eversion videos
It's not just that video (Outside In)^, there's other videos in it too
And if you like equations in your math, you can find a completely analytic description here: arxiv.org/abs/1711.10466
 
oh that's really cool. i love outside in, i think it's my favorite.
and i do love equations in my math. awesome. thanks.
side note, witold bednorz sounds like the name of a character in an epic poem.
i never interacted much with steve smale but once i left my keys in an office we were both talking to someone in and he brought them back to me. so i like him for that. the math is cool too.
it's not every day a fields medal winner brings you your keys.
 
Didn't realize he was still alive
(don't tell him I said that lol)
 
gosh, is he?
maybe he's like the prime number theorem people. granted decades of extra life for contributions to mathematics.
 
@leslietownes Am definitely Father Jack
 
sips toilet duck
 
5:07 PM
growls aggressively
 
i'm actually an improbable mix of bishop brennan and father dougal.
 
lmao
Father Ted is such good tv
 
one last time. these are small. but the ones out there are far away.
 
hahahah
 
small. far away.
i just remembered graham norton was in it. i loved his character, my wife hated him. he was deliberately annoying, which is a trait i prize but many do not.
 
that's insane. i love it.
 
Very cool.
 
kind of reminds me of the nine-point circle. could have been discovered in antiquity but wasn't.
In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are: The midpoint of each side of the triangle The foot of each altitude The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes).The nine-point circle is also known as Feuerbach's circle, Euler's circle, Terquem's circle, the six-points circle, the twelve-points circle...
 
123
5:29 PM
Hi All...
 
Guten tag und buenos dias.
 
123
Pls clear me. What is "exhaust set" in set theory?
 
i am not familiar with the term, with context maybe i could form a guess. also i am not a set theorist.
 
@123 can you use it in a sentence?
 
123
I have MCQs. Let me share
 
5:31 PM
that's a funny way of putting it. i wish i'd thought of that.
 
123
If set A and set B are subset of universal set then set A and set B are called.
a. Exhausted set
b. Equal set
c. Unequal set
 
is this a translation into english from another language? just curious.
 
wtf is a "universal set"
 
I assume they just mean a defined "universe" of all objects they are discussing.
 
the question as phrased doesn't make sense. i do sometimes see references to a universal set. it's when books don't want to be too formal about where anything is taking place. but exhausted set is confusing me.
 
123
5:36 PM
How can I share picture here?
The exact question is.
 
Just upload it to imgur and then paste the link here.
 
123
If A and B are subset of U such that AUB = U , then the set A and B are called
 
ok. i think i see a concept of exhaustion here.
this may be a language issue.
 
123
a. Exhaustive sets
b. Disjoint sets
c. Equal Sets
d. Unequal sets
 
of the alternatives, a seems the natural answer, but this is very nonstandard language. note that b, c, d, have nothing to do with the hypothesis of the question.
 
123
5:40 PM
Yes that's why I asked because b,c,d are not answer. But what is exhaustive sets here.
 
my guess would be exhaustive sets are sets whose union is equal to the "universal set" meaning the largest set under discussion.
 
A set of subsets is exhaustive (for U) if they cover (U)?
 
123
It means the correct answer is exhaustive sets?
 
Probably.
 
this is a language issue, not a math issue
 
5:42 PM
not knowing any formal definition, from english, to exhaust is to consume entirely, or to completely run out. which suggests, sets are exhaustive if their union is everything.
i agree with thorgott and i wonder if there's something that we're missing.
 
yes, extrapolating from context, a is the likely answer, but dont make us guess
 
123
This term used in model paper which was issued by govt. I also did not know that's why I asked
 
if this is from a book, look up the definition in the book. if the book doesnt define its terminology, get a better book. if this is from a course, ask your professor/ta.
 
123
Thanks all for the support.
 
if i may enunciate the Thorgott principle more clearly, it is that no well-posed question requires a guessing game. and if a question seems to need that, go back to the source and fix the problem at the source. inferences from external authorities are perhaps informative but may ultimately be irrelevant.
if i had to place money on a guess it would be a. but who knows.
 
123
5:48 PM
There is no definition for exhaustive set in the book neither any discussion.
 
Yo @EdwardEvans.
 
i can offer inferences but the instructor or TA would be able to be more conclusive.
 
Did Mike get married or something? I see an extra last name on his webpage.
 
i'm wondering what the exact definition of suddenly is in the california vehicle code where is says "No pedestrian may suddenly leave a curb..." not that i'm planning anything...
 
i assume something to do with jaywalking.
the CVC is a mess.
 
5:57 PM
presumably precedence & grumpy judge rules.
 
so you aren't allowed to suddenly run off the curb
 
one of the guys who left my firm had repeated run-ins with traffic authorities and constantly joked about forming a practice of appellate traffic law at our firm. the joke is that nobody would pay actual rates for that kind of advice. but there's a lot of wrong traffic stuff happening out there.
 
i'm joking really, it was in reference to the precise definition requirement.
 
i didn't suddenly leave the curb, i eased into it.
 
i wonder when whoever writes the text, do they think of such things.
 
6:00 PM
i glided away from the curb.
 
i did stop your honor, it was a borel measurable stop.
 
moonwalked off the curb
 
i mean, is continuity an assumption? the 'laws' of physics?
 
drafters of legislation tend to be people with law degrees but not legislators themselves and many do not have experience with litigating disputes. they are often under considerable time and lobbying pressure.
 
clearly i have work to do, this is a form or procrastination.
 
6:02 PM
according to einstein whether something comes to a stop is entirely arbitrary. the legislature has not provided a frame of reference, so i wasn't speeding when i went through the intersection. i was at rest in a different time frame.
 
you aren't allowed to intentionally, suddenly leave the curb
 
sure you are
 
it's against the law
 
if you are going on to the sidewalk?
sry, i've forgotten leslie's nice word for overbearingly nitpicky
 
oh I thought it was against the law or something
 
6:05 PM
captious?
it's a good one. lots of points in scrabble.
if you can land it on the right squares anyway.
 
captious
excellent word. will try to force it into my limited memory.
@geocalc33 i am just kidding.
please do not leave the kerb suddenly.
 
it's not a good idea, you can get hit by things, including trains. stay on the sidewalk, press the button, abide by rules and regulations.
 
I prefer capsicum.
 
i tried that on my knee for a few nights.
 
Curb/kerb is like aluminum/aluminium
 
6:07 PM
constant source of eyerolling in my house
 
I came across a word "synecdoche"
 
Literary term
 
its when you take a shower together
 
early wikipedia had so much stuff on weird words. it was overrun by people who were into words. you'd have entries having nothing to do with language, and there'd be like 20 links to "this word is a portmanteau of two other words, and a portmanteau is this olanguage thing."
 
"Synecdoche, New York" is an okay movie.
 
6:09 PM
my sister loves that film, it was blah to me.
 
when i grew up, i thought NY, NY was just an emphasis.
 
@leslietownes It was interesting, but maybe a little on the drier side.
 
the city so nice, they named it twice.
 
i thought Hawaii 50 was the police phone number.
 
6:10 PM
we did have a windy phone
i had a pic of jack lord on my wall for many years
my mom saved it. it is still in our house i believe.
 
jack lord was among other things a not-too-great painter. one of my friends has a painting he did.
 
my dad sorta looked like him. same blue suits sometimes.
 
the story she tells at dinner is "you know that guy in hawaii 50? well he also painted this. it's a painting not a print."
and then a long awkward pause while people thought of what they might say.
 
if it was me i would burst out laughing
like with billy & william
omg
 
i asked how much she paid for it, and she didn't answer.
 
6:13 PM
in irish society (at least my level) there is no mercy whatsoever
you wither hide everything or just don't give a whatever :-)
she kept jack lord but got rid of my mathS books.
so pedestrians could legally stop traffic forever just walking back and forth across the intersection. i can't find any fairness clause in the CVS.
or CVC
top gear is doing a tribute to sabine schmitz on bbc ni in 15 mins.
 
i liked her.
 
awesome person.
and could she handle a transit van...
i'm feeling like today is going to be another zero day.
 
6:29 PM
i'm pinging people for stuff to do but i feel like the boat in 'das boot.' just, undersea, pinging, no response.
 
i am doing drudge work, my own choice/fault, but i never fully appreciated how much of what i did was internally motivated. as long as i keep going its good, but if i take a day's break the it can easily become a week's break...
 
i have more oxygen than the das boot guys.
 
oh wait, incoming scam call...
 
i was awoken this morning by the call of a peacock. we have feral peacocks in long beach. sometimes they're in our yard. i feel like the maharajah of something.
 
ahh, my friend susy with the vehicle service department
i like peacock/pheasant sounds. and foxes while we are at it
we had pheasant at some stage, if you like eating shot.
 
6:34 PM
@robjohn oh ok, then what will be maximum?
 
6:51 PM
what is the problem>
 
7:15 PM
@Rover Did you read any of the subsequent comments?
 
some version of a zero knowledge proof going on maybe...
 
@feynhat Hiya :)
 
@EdwardEvans do you watch top gear?
 
I did watch it yeah
Oh it's still going right?
 
yep, they had a short segment on sabine schmitz a short while ago (bbc ni)
i like clarkson :-)
obnoxious fellow though he is
 
7:27 PM
Yeah the show kinda died for me when Clarkson, May and Hammond left
Even though, as you say, Clarkson is a knob
but a funny knob
 
 
1 hour later…
8:42 PM
Let $\alpha:I\to S^2$ be a path. Supposeαis not surjective. Show that $\alpha$ is path homotopic to an injective $\beta:I\to S^2$
and $\alpha(0)\neq\alpha(1)$
Let $x_0$ be a point of $S^2$ such that it's not in the image of $\alpha(I)$, then $S^2$ is homomorphic to a plane. Consider $\gamma(s,t)=(1-t)\alpha(s)+t\beta(s)$ and $\beta(s)=(1-s)\alpha(0)+s\alpha(1)$ for all $t,s\in\,I$.
So,
$$\gamma(s,0)=\alpha(s)\;\;\gamma(0,t)=\alpha(0)=\beta(0)\;\;\gamma(s,1)=\beta(s)\;\;\gamma(1,t)=\beta(1)=\alpha(1)$$
this is what i currently have, but it's still not right I believe
 
If I am not mistaken the double sum $\sum\limits_{k = 0}^{n}\frac{k}{k!}\sum\limits_{j = 0}^{n - k} \frac{(-1)^j}{j!}$ is the coefficient of the $n$-th component of the product $(\sum\limits_{k \geq 0} \frac{k}{k!}x^k)(\sum\limits_{j \geq 0} \frac{(-1)^{j}}{j!}x^j) = xe^{x}e^{-x} = x$. But this would mean that the original double sum is 0 which is not correct. Where's the error?
 
9:00 PM
@Simple you're being sloppy, but the idea is correct
@Taufi the $n$-th coefficient should be $\sum_{j+k=n}\frac{k}{k!}\frac{(-1)^j}{j!}$
 
do you mind give me a suggestion to improve it
 
@EdwardEvans yeah that can happen when you change 100% of the cast
they have a new show on jeff bezos site tho
 
9:48 PM
funny knob is a good description.
i don't think i'd like to know him in real life, but fine on TV. i hope he has minders that keep him from bothering too many people.
like the team that i've got.
 
One time they made a show talking about a mexican car
and some people I knew got mad
Also one time they made a show in argentina and their car had plates 1992
1982
 
oh, i remember that.
the problem with his brand of humor is more i think what people are afraid of than what is on screen. he's a little boorish and the concern is that people who see the show will use it as some kind of license to become more boorish. these concerns are mostly unrealized or not the fault of the show.
and, it's obvious that if you get mad at it you're feeding into exactly what they want. so why be bothered.
 
I didn't really mind it
 
because i'm not a bull, i don't have to run at every red flag, no matter how hard someone is waving at me. particularly if my looking at the flag is my own choice. if i were making a list of problems in the world, "top gear" would not be in the top 1000.
 
I liked the show but I'm not into cars anymore
 
9:57 PM
i've never been into cars. i liked the segment where they'd have people 'race' in a reasonably priced car. kristin scott thomas did a really good time in a honda civic.
 
I don't feel like I would be able to make a list of the top 1000 problems in the world
 
i can understand why some folks get mad at stuff, we all have some (often justifiable sensitivities), but it seems a pity to aim towards a bland world of polite yawns.
you can always tell an irishman, but you can't tell him much.
 
I'm more interested in impolite yawning
I don't think I've ever seen it
 
copperhat i think we have similar disinclinations relating to sensitivity. although as un-PC i think that i am i did once almost yell at somebody and leave a dinner because of a joke i didn't find funny. we all have tripwires, but it's no fun to live in a world full of them.
i can just leave the dinner.
 

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