My cousin had a hog roast at her wedding, that's all I cared about (except maybe for the free beer)
and my uncle's unprepared speeches
He was the top salesman for a large Swedish company every year for many years. His skill at successfully bullshitting his way through any presentation was incredible
that's great. we did not have anybody in our family with that talent, so we actually imposed a rule, no speeches. if you don't have a character who can really do one, they just bore people anyway.
no they had an actual priest! but he was married on an air force base. during the week, not a lot of people in the chapel. and no schedule of fees. $25 was for i think cake and something resembling champagne but not.
it was during the cold war so the photos are pretty funny. the chapel had this panel of dr. strangelove style signs in the background that would light up if the russians attacked. stuff like "SAC ALERT" etc. helpfully, the russians did not disrupt his wedding.
I hope so, i wanted to know why it made sense to use eigen values / vectors in a piece of code that interprets an image as a connected graph (see the example on the wikipedia page on laplacian matrices)
They take a vecotr of eigenvalus, from a laplacian matrix that represents the graph of an image, and multiply that by a vector of datavalues. The data vector being a single row/column, so when multiplied by the vector of eigenvalues produces a nxn matrix (where n is number of eignvalues)
@geocalc33 that hurts, esp when they are of the opposite gender (pr gender you are attracted to)
@geocalc33 i had a v. rough evening in my early /mid twenties like that. I got on my motorbike, and was riding soo slow because I was worried I might do something silly if i opened up the throttle
Ironiclly I had an accident a few days later, and when the police arrived to find me maniclly smiling they where all "and what is so funny, huh, are you high?"
And then I had to sheepishly tell them about having a broken heart and existential thoughts, and that falling off my bike hurt so much that I was glad to be alive :)
@geocalc33 if you get a chance, I would highly recommend "essays in love" by Alain de Botton. Though it may not have aged well
attorneys familiar with continental legal systems do not understand the rule against hearsay. bringing up sir walter raleigh does not improve the situation.
see, one reason we do this is because there was this guy, yes, in the 1600s, something of a pirate, not even in the USA which didn't exist yet, but we're serious about this, ...
maybe axiomatic geometry. we could just call it geometry. if i'm being honest i don't see a lot of those posts. and they tend not to specify their axioms, which is a minus for me.
i never understood competitive math. i realize it's a helpful laboratory for developing skills, i just never personally was exposed to it and it was weird to me.
when i started grad school someone asked me for my favorite 'synthetic geometry' result (not her words but very much the spirit of, euclidean geometry). i was like "uhh?" and she said something about her favorite. she dropped out in a year and coaches math students in competitions now. very effectively.
knowing that a problem has an elementary result that someone else has already found is a huge leg up in problem solving. which isn't to say that problem solving skills aren't useful. i wish i had them. but, it's very much, as copper hat says, contrived.
i never knew any math phds until i actually went to college. i may have benefited from earlier exposure to mathematics, including contest math. but i didn't.
my wife had a 940 when we first moved in together. the electric windows were a kick.
i took my driving test in that car. the examiner demanded that i speed on city streets, and then took a call from her husband for about half of the driving exam. she wasn't paying attention to anything.
i slowed down for some workers on a highway. "why are you slowing down??" i don't know, because i'm one lane from human beings who would die if i hit them.
exactly, and if we dont want to shoehorn students into coming up with the 'model solution' to problems, wouldn't 12 hours allow those students who typically think of equally valid solutions that aren't the model solutions flourish more than students who are really good at internalizing the 'typical exam style' solutions
as an abstract proposition, time is a pretty bad measurement of work, labor, insight, anything. i work in an industry where we tend to bill by the hour. which means you're "penalized" (in a sense) for working efficiently.
thankfully my employers understand this, but it always comes up. i hit a minimum hours requirement and there's always a question why it isn't more. because i don't bill to kingdom come for something that takes me 20 minutes.
i had a friend whose dad was a veterinarian and a butcher and used to make his own high quality sausages. but they were never as tasty as the mystery meat.
One time for an interview for a scholarship, the other time for a German exam. My uncle took me both times and both times we went out drinking afterwards and got absolutely slaughtered. Unsurprisingly I don't remember much about London.
a friend of mine ran for MP for the lib dems in a district where she was guaranteed to be shellacked by some conservative, and she was. i don't know if anybody learned anything from that.
porridge that is super vague. i have never understood anything except by long exposure and getting used to. it's not understanding. no lightbulb goes on.
I have that problem too, how do you get through education having a sub-par memory? I can understand the arguments and tend to remember objects and definitions, I just forget the trickery often used in proofs!
tom koerner's companion to analysis is also a pretty good analysis book. i don't think it would adapt well to the united states but it must be a delight to teach from at cambridge.
i guess more concretely i am saying calm is a better state of mind for focus than panic, but i stand corrected since some answers here convey the opposite is true for them
porridge i think that is true, for understanding and coming up with new results. for problem solving there is always a deadline and you never have enough time.
at work when people explicitly ask me to do stuff on a deadline, the time frame can be anything from 5 minutes to 5 hours, but it is usually not longer than that. it is fast, and ugly, and not contemplative.
i don't propose this as a model for academic research, but it very much distinguishes academia from the chaotic soup that i live in.
for learning you want as much time as possible and as many books as possible. and to just sit back and absorb stuff like a sponge.
i had an idea for a paper come to me in a dream once. it was the weirdest thing. i woke up, and immediately wrote down what was in the dream, and then the paper was published. i do not promote mysticism but this did happen.
it was just very weird for me. i remember panicking to write down all of the stuff from the dream. i grabbed empty envelopes from junk mail on my desk to get it all on paper before i forgot it.
there is a substitute priest who is nigerian and also loves it. i think they've formed some kind of conspiracy to get my mom in there. this is beyond the scope of a math chat.
:) i don't mean to disparage any religious tradition. i just think that st thomas aquinas was unusually stingy regarding their donut budget. and that is a secular concern that probably does not embrace the almighty.
my wife was trying to get me to go to a church and they had people plugging in at that church. like, electric guitars. that's the same crap i do in my office.
if we want to listen to that we can do that at home.
i've got 0.5 of the bill gates 5g corona experience coursing through my veins. to be honest, it hasn't been a pleasant ride. my arm hurts, has been constantly tingling, and i've been feverish to 101 degrees.
first shot. a guy at my work said, if you have been infected, the first shot might be bad. i don't know if that's true. i had a period last october when i couldn't eat for four days. it might have been this.
im a bit confused by why in the definition of a 'countably normed space' we need the norms to be pairwise compatible, in the sense that if a sequence is cauchy in both norms and convergent in one, it is convergent in the other - surely if we just had a countable sequence of norms all on a linear space, the system of neighbourhoods $$U_{\tau,\epsilon} = \{x \in V : ||x_i|| < \epsilon, i=0... \tau \}$$ is a local base at $$0$$ for the topology induced by
$$\rho (x,y) = \sum_{n \in \mathbb{N}} 2^{-n} \frac{ ||x-y||_{n}}{1 + ||x-y||_{n}}$$ regardless of whether the sequence of norms is pairwise compatible?
so is the upshot of requiring the norms be pairwise compatible that as long as one of the norms is cauchy, then the topology induced by $\rho$ is complete?
if I have a sequence of schwarz functions $\{f_p \}_{p \geq 1}$, and for some fixed $0 \leq m < n$ I know $f_p$ is cauchy in the norm $||f||_{s} = \sup_{t \in (-\infty,s) ; k,q \leq s } |t^k f^(q)(t)| $for $s=m,n$, and $f_p \rightarrow f$ where $f$ is schwarz, in $|| . ||_{m}$ , how can I show it converges to $f$ in $|| . ||_{n}$?
I feel like I can't and the definiton of these norms is wrong, rather it should be a supremum over the reals.. not from $-\infty$ to $s$
oh no, the notation looks bad, the norm should read $\sup_{t \in (-\infty,s) ; k,q \leq s } |t^k f^{(q)}(t)|$
I guess another way of phrasing my issue is if we know that $f_n^{(q)} \rightarrow 0$ uniformly on $(-\infty, m)$ for some fixed positive integer $m$, and for all $q = 0...T$ for some fixed positive integer $T$, and we know that $f_n^{(q+1)}$ is uniformly cauchy on $[m,m+1)$, can we say for sure that $f_n^{(q+1)} \rightarrow 0$ uniformly on $(-\infty,m+1)$?
we may also assume $f_n$ is schwartz, im thinking because its such a nice function, this could be true
Hello everyone this is my first time in a chat room on Math SE. Am reading the proof of Fubini's Theorem in Lang's book real and functional analysis and I have some questions. Anybody familiar with this book?
My question is why do we need to invoke Corollary 5.10 on page 163 to show that f_x is integrable? It seems to me that integrability follows from the definition of the integral since we have an L^1 Cauchy sequence of step maps converging the f_x for almost every x.
