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and if you go and solve for t' in the other equation,
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it's a simple algebraic manipulation,
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so I don't want to waste my time doing that.
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You will find
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t'=t-u·x/c^2 divided by the same square root.
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These are priceless. This is really all of relativity,
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all the funny stuff you hear about E=M·c^2,
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funny clocks, the Twin Paradox.
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Everything comes from this equation.
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And you people should be very pleased that
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within, what, six weeks of starting Physics 200,
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you have all the things you need