Readit Newsi’m not sure if you’ve seen how many people have lost their jobs for saying truths about kurk or how many people are losing jobs, scholarships, visas, education etc for saying things about a certain regime, but it’s happening, for real. they’re actively pushing to force people to turn over their social media accounts for review.
we can’t blame this poster for vagueposting here. i often pushback against vagueposting but in today’s climate we cant blame people for taking their personal safety seriously when it comes to vocalizing their criticisms.
The purpose of high school is to give you a wide foundation on everything.
The purpose of an undergraduate degree (in math) is to give you a wide foundation (in math).
In a (math) PhD, you are generally hyper-specialized in a very, very narrow area (of math).
I think what I may be asking is “Does the complex Fourier transform make a Hilbert space?” but I might be wrong both about that and about that being the right question.
You can represent any function f: [-pi, pi] -> R as an infinite sum
f(x) = sum_(k = 0 to infinity) (a_k sin(kx) + b_k cos(kx))
This is very useful, but the functions sin(x), sin(2x), ... , cos(x), cos(2x), ... don't constitute a basis in the formal sense I mentioned above as you need an infinite sum to represent most functions. It is still often called a basis though.
we’ve built a vector space of functions
Ideally, we could express an arbitrary function f as a linear combination of these basis functions. However, there are uncountably many of them—and we can’t simply write down a sum over the reals. Still, considering their linear combination is illustrative:
This vector space also has a basis (even if it is not as useful): there is a (uncountably infinite) subset of real->real functions such that every function can be expressed as a linear combination of a finite number of these basis functions, in exactly one way.
There isn't a clean way to write down this basis, though, as you need to use Zorn's lemma or equivalent to construct it.
Apparently pigs can be possessed with sprints. I always assumed that was why they were considered unclean.
From Mark 5: So the demons begged him, "Send us among the pigs, so that we can go into them!" So he let them do this. The unclean spirits came out of the man and went into the pigs
If you want to change settings, you open the settings dialog (Tools > Settings), and it as tabs like "General", "Fonts and colors" etc.
Most people were a lot less computer literate back then, but they were able to use most applications with little help. If they really needed help, the help system was built into the application.
The goal back then was to have the user get the work done as efficiently as possible, in effect, minimizing the time the user pends on the application. Modern UX doctrine aims for the opposite goal -- to keep people "engaged" as much as possible. This might be okay for consumer apps, but maddeningly, the same doctrine gets applied to enterprise applications as well. I've literally heard non-techie employees of a Fortune 100 company ask for their legacy green screen terminals back because the new, flashy SPA was slowing them down.
Applying general design principles without taking actual use cases into account is the worst.
A common one is putting heaps of whitespace around each cells in a table. Visually appealing, sure. But unusable if I need to look at more than 8 rows at the same time.
Many years ago I make a little proof-of-concept for displaying the transcript (closed captions) of a YouTube video as text, and highlighting a word would navigate to that timestamp and vice-versa. Such a thing might be valuable as a browser extension, now that I think of it.