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and we have a sine NT
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and we have a sine NT
minus Phi n
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okay so there's the final answer for a
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okay so there's the final answer for a
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okay so there's the final answer for a
particular solution in its full glorious
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particular solution in its full glorious
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particular solution in its full glorious
detail we can also check that this
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detail we can also check that this
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detail we can also check that this
particular solution is periodic note how
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particular solution is periodic note how
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particular solution is periodic note how
each sign in T is periodic and each sine
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each sign in T is periodic and each sine
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each sign in T is periodic and each sine
NT has period of at least two pi so when
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NT has period of at least two pi so when
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NT has period of at least two pi so when
we sum up a whole bunch of functions
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we sum up a whole bunch of functions
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we sum up a whole bunch of functions
which all have a period of at least two
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which all have a period of at least two
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which all have a period of at least two
pi the the sum is also going to be a
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pi the the sum is also going to be a
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pi the the sum is also going to be a
periodic function with at least two pi
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periodic function with at least two pi
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periodic function with at least two pi
and
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and