K-ary tree Updated 2025-07-16
As usual, it is useful to think about how a bilinear form looks like in terms of vectors and matrices.
Unlike a linear form, which was a vector, because it has two inputs, the bilinear form is represented by a matrix which encodes the value for each possible pair of basis vectors.
In terms of that matrix, the form is then given by:
Closing questions as off-topic Updated 2025-07-16
There's no point.
The question remains there, but people lose the ability to help the asker.
Reputation is meaningless regardless, since JavaScript gurus will always have 1000x more readers than low level junkies.
The deeper problem: the existence of multiple separate websites instead of just using the tags on a single website.
Stack Overflow content deletion Updated 2025-07-16
Stack overflow allows deleting content/making it visible only to 10k rep users.
Ciro Santilli is strictly against this, and this is an intended core policy of OurBigBook.com.
If you delete people's content randomly, they will be much less likely to write anything.
Getting downvoted to oblivion is one thing, but data loss? Unacceptable.
Only illegal content must ever be deleted. Or extremely obvious spam. But anything in a gray area should never be removed.
Deletion can be done by either:
It's great right? You can't link to your other answer alone: Stack Overflow link-only answer policy, but you can't copy the other answer either.
And because not all duplicate close votes succeed, see e.g. stackoverflow.com/questions/59649238/how-to-use-the-m5ops-in-gem5-such-m5-exit-and-m5-dump-stats-in-se-mode/63955139#63955139 the result is that someone else will come and answer the same thing in a different wording.
And some answers answer two questions that are not duplicates, e.g. superset/subset questions.
So just do a slight variation wording yourself and get all the reputation.
Why. Why. Why is there no limit to how much I can help, but there is a limit to how many thanks I can get?
At most, limit it to a single answer to avoid highly publicized events, e.g. an answer being shared on Reddit. But across answers? It makes no sense.
The two ways main ways to overcome this limit are the 15 point answer accept reputation and bounties.
200 reputation per day works out 73k a year BTW.
Gram stain Updated 2025-07-16
Photosynthesis Updated 2025-07-16
It is quite cool that photosynthesis works just like cellular respiration by producing a proton potential through chemiosmosis.
Toyota Updated 2025-07-16
Audio editor Updated 2025-07-16
MIDI Updated 2025-07-16
In simple terms, represents keystrokes of a piano, but it can likely also represent other effects (TODO confirm: bend, vibrato, slides, attack strength)
Can contain multiple parallel tracks as seen from the Wikipedia example: en.wikipedia.org/wiki/File:MIDI_sample.mid
You can see what it contains well with GUI music editor.
MIDI is fun. It is a basic high level representation of most instrumental music, including beats.
To actually listen to MIDI, you need a software synthesizer, which knows what sound to make for each note. One way to specify such instruments is the SoundFont file format.

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