Recent content by JizzaDaMan

  1. J

    Why are fractals and chaos theory synonymous?

    I'm going to be linking fractals and chaos theory to life and the universe, so what about something along these lines: universe is chaotic; changing the initial 'parameters' would result in a totally different universe. universe is like a fractal - infinite and similar complexity on every...
  2. J

    Why are fractals and chaos theory synonymous?

    The reason I say synonymous is that whenever you google chaos theory, you almost always get fractals too.
  3. J

    Why are fractals and chaos theory synonymous?

    I'm doing a presentation in a few weeks on fractals and chaos theory. To me, their link is more intuitive than mathematically/physically sound, and I'm really struggling to put the link into words. I've tried googling it, but no where seems to give a satisfactory explanation of the link...
  4. J

    What Determines the Gradient of ln(ax) for Different Values of a?

    oh of course! :D I feel a bit stupid now :P I guess they're shifted up by ln(a) right?
  5. J

    What Determines the Gradient of ln(ax) for Different Values of a?

    It's easy to show that \frac{dy}{dx} of y = ln(ax) where a \in ℝ, a > 0 is always \frac{1}{x} : y = ln(ax) y = ln(a) + ln(x) ln(a) is constant so its derivative is 0, and the derivative of ln(x) is \frac{1}{x}. Hence: \frac{dy}{dx} = \frac{1}{x} Attached is an image of y=ln(ax)...
  6. J

    Calculating coefficient of resitution

    I don't quite understand this phrase: "the COR increases from zero to unity as the stiffness of the happy ball decreases from infinity to zero." or indeed it's implications.
  7. J

    Calculating coefficient of resitution

    I've been told that the coefficient of restitution is a little like friction; it's a measure of how elastic a collision is between two objects, it's not an individual property of each object itself. Now let's say you have two balls bouncing on the ground. Ball 1 has a coefficient of...
  8. J

    Ideal Gas Simulator: Help Solving Collision Detection Issue

    ok thanks I'll have a look at that :)
  9. J

    Ideal Gas Simulator: Help Solving Collision Detection Issue

    It reduces the frequency of errors
  10. J

    Ideal Gas Simulator: Help Solving Collision Detection Issue

    It is stable on average, but it's not just changing by the odd joule it's in the order of a kJ the first time. Once it happens once, then it begins to increase at an increasing rate. I won't say exponentially though because it is still random. When I change the mass of one molecule then the...
  11. J

    Ideal Gas Simulator: Help Solving Collision Detection Issue

    This one's aimed primarily at the programmers in this forum. I've written a programme in python (Set as a long term project from my A-level physics teacher) which will hopefully end up being a scientifically accurate ideal gas simulator in 2D - I'll set up a bunch of particles with random...
  12. J

    Confusion about the electron sub shells.

    Thanks a lot for all your answers :) They've definitely cleared a lot of things up for me :)
  13. J

    Confusion about the electron sub shells.

    Thank you so much for you answers, they're very helpful :) "It turns out that, if the orbitals 1s, 2s, 2p, 3s, and 3p are all filled, a 4s electron will see a higher effective charge of the nucleus than a 3d electron, hence E(3d) > E(4s)." This is a convincing explanation as to why the 4s sub...
  14. J

    What is the speed of the river in km/hr?

    Let's say the river's speed is 1 kph and the boat's speed is 2 kph then the boat will travel downstream at 3 kph and upstream at 1 kph. So when you go downstream you add the speeds, but when going upstream, you subtract the river's speed from the boat's speed. Try working that backwards.
  15. J

    Confusion about the electron sub shells.

    Apologies for the long post this is going to be, but at the moment I am doing A-level chemistry and physics, and I am learning about electron orbitals and quantum physics at the same time, so I have reached a state of confusion. (At a higher level than that required for the A-level; I'm not...
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