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# /sci/ Science & Math

Hey /sci/, I have a quick question. I'm doing my dissertation right now and my work involves using using algorithms that model the behaviour of atoms, however these equations are written using classical mechanics equations. Since my physics knowledge is limited, I wanted to ask you how much of an error will it introduce into the output if you approximate quantum mechanics? Are there some terms that should really not be separated into different components because on QM level they are one? If my question is a bit confusing, I'll try to elaborate.
Hey guys. I don't normally frequent this board too often but I had something I wanted to ask here. I've always been extremely interested in astronomy and I just received my ged after passing the first time I took the test. To start things off, I'm terrible at math. But how difficult would it be if I bought/downloaded myself a few self teaching books for calculus, physics, algebra, and anything else I'd need to start an education in this type of field and self taught myself? Should I give up or should I attempt this? Thanks.

### Symphony of science - the quantum world

How can I analytically compute \lim_{x\to 0}\log{(n^x+m^x)}? n,m being integers.
So is p,n \in \mathbb{N} : \sum_{p<n} \frac{p}{n} = \infty ? No homework, just curious.
Hey guys! This is a very simple physics question which I can't get correct! Help me? A windturbine is efficent to 50% and it has the radius of 13.5 (length of wing) Calculate the power of the wind turbine if the air passes by in 8 m/s.

### pre algebra

What's the learning route for someone looking to build up his math foundation? Right now I'm kinda lost..it's all over the place...can you guys list the proper format to learn stuff? Right now i am thinking along the lines of Basic arithmetic Pre algebra geometry/algebra algebra with radicals basic trigonometry basic quadratics sequences series intermediate trigonometry/graphing quadratics linear algebra differential equations calculus I am really confused by the latter half...i need to know where to go next, i dont know where linear algebra lays, and right now im looking for where to go right after pre algebra
>you'll never be a scholar that feel that feel man

### Does a sonic boom get louder the faster an object is traveling?

Does a sonic boom get louder the faster an object is traveling? Once something reaches the speed where soundwaves are piling up ontop of eachother and you get shockwaves, is that the loudest the sound could possibly be?
need economics help pls So, in ricardo model, when you have the production function X=0.5Ax and Y=1/3Ay with Ax+Ay=12, why is the maximum output of X when you calculate the PPF only 6? (PPF: 2X+3Y=12) WHY? I mean, the production function says one X requires 0.5A, and I have 12 A in total, I can produce 24X?! I don't unterstand this.
hey /sci/ would like to know if there is a black hole someone around here. It seeks i keep getting a lens effect each time i try to get close to this super giant. Another question I would like to know if you guys can help me find this super earth. It solar system had 2 stars that were orbiting around a gas planet, then the next orbiting object was another star being orbited by two planets one of them being the super earth.
Is it just me that gets off on images like this?
Space.

### ODE tips & hints

So I'm doing the ODE course this semester and I've been warned that what fucks you up isn't what you fail to learn in this course but rather what you've forgotten about calc 1/2 and even basic algebra. What kind of stuff should I be wary of? I already know a few people who got screwed over because they forgot how to do partial fractions.
Given functions with several domains and codomains, which might coincide between functions. f: A\to B g: A \times B \to B h: A \to A \times A a\in A b\in B and the knowledge that I want the expressions which are obtained by function composition where I have n istances of f, m or g and k of h, how do I know all possible combination of how to compose the functions? What is the functions have more general domain and co-domain?
Hey guys. It's fairly cloudy out, but there's a number of contrails (at least 5) originating from the same point on the horizon, and I can see one has clearly bisected a cloud formation. A short while ago there were two very close together still extending across the sky. The contrails are heading east to west, and do not fit with aircraft flight paths. I'm in the north of england. Any idea what this could be? Never seen anything like it before. >apologies for the lack of picture, but there's a lot of cloud cover moving in quickly so you can't really see much now. >inb4 chemtrails

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