So, I'm an AP physics 2 student at the moment, and I'm learning about Snell's law and refraction.
Due to the changing speed of light (for these purposes; I am aware that C is constant) in water droplets and the stationary position of the observer, we know that the red portion of a rainbow will a...
Can I bounce some ideas about music around with someone? Anyone feel free to chime in.
This is partially related to configuration manifolds which is why I'm curious what people think.
I came up with this idea of a pace beat.
Basically, imagine a given note takes some time $t$ to occur. Then the length of the musical measure would be some positive integer $\alpha$ times the duration of the pace beat. That is, $\alpha t$.
So my basic idea is that I think musical measures are formed by multiplying the pace beats by rational numbers.
And in doing so you can get long notes and short notes by having them be perceived as longer or shorter than the pace beat.
Now, here's where configuration manifolds come in.
Given that I have now given a definition of note length, I feel it should be possible to formulate a discrete state space / configuration space model of musical sequences.
Whenever I compose, I am always trying to coordinate between 3 degrees of complexity. And these three levels set a kind of limitation on the number of possible configurations sequences can take on.
Anyways, I'll stop here because there's little point in continuing if no one reads this. If anyone responds, I'll say more.
I asked a question "How to use the born rule to find..." and it was closed for being a homework-like question. Now this was not a homework question. It's also not the case that I am lazy. I own multiple QM texts and have read through them trying to figure out how to solve these kinds of problems....
@DavidZ well, one of the problems I find when composing is that...a musical sequence doesn't just come together to form a song.
@DavidZ like I can make melodies all day. But to actually coordinate different parts, there are limits because the notes conflict.
The durations of the note affect the complexity. Usually the background / accompaniment has to have longer notes because the main melody has to have nothing else interfering with it or it won't be heard
So I usually write an accompaniment and then make the melody over top of that because, once the accompaniment is set, it makes it easier to find melodies consonant with it.
Harmony of the Spheres sounds like a good name for a ballet
@DavidZ A lot of people say music is completely subjective, but I don't agree. There are some objective aspects. Like if it was totally subjective, then people wouldn't be able to write it and have other people like it.
If you look at their meta you will see a lot of discussions about what to do about homework. I believe a while ago they had a large poll where the community voted to keep it on topic, presumably with certain restrictions.
That Lie book thing you recommended was a nice change of pace from my other group theory books. I'm still trying to decide if I'm at that level or need something similar, but it is vastly more applicable to stuff I'm interested in.
I also never thought manifolds might be useful for music until I saw Mazzola mention them in Topos of Music. And Tymoczko uses orbifolds. But its not clear to me they actually advance our ability to make music. It seemed like math for show.
@bolbteppa it was weird seeing that Aristotle believed $F = mv$
@ellipsix well.. you need about 40kJ to cook a potato so you need a 40kW laser to cook it in 1s, i don’t have one :( http://www.theverge.com/2012/12/23/3794814/rheinmetall-50kw-laser-weapon
@DavidZ Recently, I've been having a lot of problems with math not rendering on PSE, while I'd never experienced any trouble before. Did something change?
well... there are MathJax updates from time to time. I think they're testing the latest on on Mathematics but I didn't think it was rolled out yet.
But perhaps it was.
For starters you don't have any script blockers or the like running, right? If so it'd help to test in safe mode (or use an entirely different browser, or a new profile)
Jan 30 is when the new MathJax was released, so if your problems started more recently than that, perhaps the new version is to blame
In the last couple of weeks, once in a while, MathJax has not rendered on my system (OS X). In both Chrome and Firefox I see the markup rather than the rendered equations. Is this a problem of my system, and if so is there a fix? Or does the problem reside elsewhere, outside of my control?
Well, 0.5 Sv/year don't immediately kill you. They perhaps make you wish they did, though...
user54412
arXiv or snarXiv: "The cosmological models called $\alpha$-attractors provide an excellent fit to the latest observational data. Their predictions $n_{s} = 1-2/N$ and $r = 12\alpha/N^{2}$ are very robust with respect to the modifications of the inflaton potential. An intriguing interpretation of $\alpha$-attractors is based on a geometric moduli space with a boundary:
user54412
a Poincare disk model of a hyperbolic geometry with the radius $\sqrt{3\alpha}$, beautifully represented by the Escher's picture Circle Limit IV. In such models, the amplitude of the gravitational waves is proportional to the square of the radius of the Poincare disk."
I can not understand how people are so terrible at punctuation.why do so many people not put a space after a period or a comma ? they have spaces between other words.and then,those same people sometimes put a space before and after a question mark or some other punctuation mark .it's so arbitrary.but seriously , where does this come from ?It's not like there is ever any time where a period that ends a sentence doesn't follow with a space.why are they so lazy ?
if a person asked to prove that I is min about COM and someone answers why torque is min about COM, those both are not the same thing but the answer-er asserts it. @ACuriousMind
@ACuriousMind "We will however lift a number of other common assumptions, in particular the existence of a vacuum state, and the existence of theories on any Riemann surface (and not just on the plane). It would be interesting to investigate how this affects the set of possible models, and in particular the classification of minimal models. It is however mainly for the sake of generality and simplicity that we will lift these assumptions. We will indeed be studying not only rational, but also non-rational theories such as Liouville theory. Nonrational theories do not necessarily have a vacu…
@Jiminion I know the meaning of the ordinary English word, but it is also used as a technical term in string theory and QFT as an approach towards constructing them. It is probably meant to convey that we do not derive the theory from another, but build it from first principles, but I have not yet understood what exactly happens.
One hour early?? It's 11:21 here, which is 21 minutes after the start of all the other chats I've attended... is there some kind of no-daylight-savings issue here?
@Jimnosperm Hm. I sort of see your point, but I cannot see how a question like "Why is a vector field a vector under rotation? I cannot see how this comes about" would not be closed as HW, because the answer is, as with all transformation behaviours - plug in the transformation and do the math!
In essence, I don't think "Why does this transform like this?" is a conceptual question at all, if "this" is defined in terms of things whose transformation behaviour is known.
I might also be a bit harsher than I am on other transformation questions in SR or classical mechanics because I cannot fathom how someone might have gotten to QFT/CFT without knowing how to see that.
@PhotonicBoom I think you have to go through the queue normally. At 10k, you could go to the history tab and access any review that someone else has already done directly, but I don't think you can do that.
Yeah I couldn't find a way. Its no biggie, I found the question anyway and voted to re-open. I also think this kind of problems can get quite confusing.
I'll make it easier for you, the other choice was "LHC Prospects in Searches for Neutral Scalars in Pp Ogammagamma+jet: SM Higgs Boson, Radion, Sgoldstino"
In the last couple of weeks, once in a while, MathJax has not rendered on my system (OS X). In both Chrome and Firefox I see the markup rather than the rendered equations. Is this a problem of my system, and if so is there a fix? Or does the problem reside elsewhere, outside of my control?
