No sorry, I was just posting the general projectile equation... it's safe enough to put in numbers there and you get the quad pretty much straight away, but of course your form is what you're ultimately aiming for. |
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Why would you want that? you'd just turn it into what we have now to get it in the form ax2 + bx + c = 0 with x = tan@ to apply the quadratic formula, no? |
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Previously PhilosopherStoned
No sorry, I was just posting the general projectile equation... it's safe enough to put in numbers there and you get the quad pretty much straight away, but of course your form is what you're ultimately aiming for. |
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Saw no reason to open another thread for something that fits squarely into this one, so without further ado... |
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Just so you know, electon positions can't be calculated that way. |
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Does that mean we don't have an expression that dictates an electron's motion with respect to time, or that the expression can't be transformed back and forth, or that it's useless to do so? :O |
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Broken image methinks. |
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From my understanding, Euler had been working on using integrals as solutions to differential equations. Laplace was extending the work. The key property of the transform is that it turns L[f'(t)] into sL[f(t)] - f(0). This can be seen by integration by parts. So once you see that, it's only a matter of time before it occurs to you (if you're as smart as Laplace) to use that property to transform differential equations into algebraic equations. |
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Previously PhilosopherStoned
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