gavin newsom has emailed, requesting 3 dollars for some kind of electoral battle with caitlyn jenner. i think they should work out their differences without my 3. i'm not even getting $3 in interest on my savings account.
the western scrub jay is a great corvid. at our old house they nested in a bush next to our driveway and would take the cutest dust baths in our driveway. it was one of those things with two parallel lines of cement in the dirt.
The Irish are going through a major image change. I mean the old image of Leprechauns, shamrocks, Guinness, horses running through council estates, toothless simpletons, people with eyebrows on their cheeks, badly tarmacked drives (in this country), men in platform shoes being arrested for bombings, lots of rocks, and Beamish.
anything. a lot of the jingles were 70s soft rock james taylor kind of stuff. he is personally inclined toward early 90s house music and has done a few indie rock albums. you just put a lot of reverb in there and you're fine.
ireland is still under a 5km travel restriction with some mild easing shortly. the big recent change was no smoking in pubs which off without a hitch (i thought government would fall) and getting rid of plastic bags in shops.
now you are likely to find lidl/aldi to a mom & pop corner store with pub in the back.
and many languages (including a few questionable varieties from myself & siblings) are to be heard even in passage west (or back passage as we like to call it), our little neck of the woods
sometimes assumptions like this help people find solutions to differential equations that matter to them. sometimes these solutions are enough to explicate a physical phenomenon.
i'd think of it as a goofball assumption that you make to see if you get anything out of it. it's not a law of nature.
@AndrewMicallef it is a bit like walking around a construction site in progress. some results are nicely finished, some are in progress, some are waiting.
So from a problem solveing point of view, I can say $\Psi(x,t) = f(x)g(t)$, substitute that into my problem, see if I get a clean result, and if not, decide it must have been the wrong strategy?
I clearly need to do more reading around PDE's, (having not really ever touched them before). But it seams like you are saying that we can't solve all differential equations by linear combinations, but we can get an increasingly more accurate approximation from the sum of linear equations (as you do in Fourier decomposition), and you can get an exact solution from the infinite sum of a series of linear equations?
if we take a linear map $A: S \to T$ and a matrix of it $M(A)$, we know the column vectors of $M(A)$ are the image of $S$ basis vectors in terms of the basis of $T$. is there any worthwhile property of row vectors of $M(A)$ in term of the linear map $A$, e.g., do they represent anything about the linear map?
shin, nothing comes to mind. they are images of the transpose of A but that is somewhat artificial. everything that is basis dependent is somewhat artificial.
ah crap, the point about an arbitrary basis is also important... but wait, doesn't the linear map $A: S \to T$ imply some sort of definite basis for $S$ and $T$ if it is to have a matrix representation?
think about all of the results that hold for an arbitrary linear transformation. in a complex vector space you can arrange for an upper triangular basis. there is jordan form. all of that other stuff. cool things happen when the basis is 'choice' but generally do not happen.
i hear confusing things from my friends. i think they reopened too soon, and the public health infrastructure has never been great, so it is undergoing a stress test.
it's pretty common for causes of death to go unrecorded there anyway. the big cities are doing a good job.
i remember learning how ignorant i was of india. one of my best friends in grad school would go home there. he described it like it was torture. his family had an enormous mansion and teams of servants. not my image of the developing world.
they were always trying to marry him off when he went back. i did sympathize with that.
my wife and i were together for about 15 years before getting married. we took advantage of advances from the gay rights movement to become domestic partners, had all the health insurance shared, etc. without marriage.
my breakfast recipe, which i recommend to everyone, is: fill a bowl half full with frozen blueberries. top with shredded rolled oats ("minute" oats). add skim milk.
after 9/11 was something else. they jiggled with all of the flight paths and suddenly planes were overhead all of the time.
a spouse of a friend of mine commanded a group of helicopters for the marine corps. on his last day, they buzzed our office. got a very nasty email from the city council about it. they pleaded ignorance.
there are so many other wastes it probably was not noticed. a training mission. at least they did not use the smoke generator to draw certain pictures in the sky
a few times the blue angels have rehearsed their shows over the water near my office. that's a lot of fun to watch. it looks so fantastically dangerous.
when i was in high school a blue angel pilot came to give a speech. i wanted to interview him for the school paper but he didn't have time. his mechanic had time. he spent about an hour bitching about his job, but gave me a few good quotes for my article.
