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  1. 13 hours ago · Therefore, one must define them either in terms of sine, cosine and exponential, or, equivalently, by using the method of analytic continuation. Holomorphic functions Color wheel graph of the function sin(1/z) that is holomorphic except at z = 0, which is an essential singularity of this

  2. 13 hours ago · A so-called eigenmode is a solution that oscillates in time with a well-defined constant angular frequency ω, so that the temporal part of the wave function takes the form e −iωt = cos(ωt) − i sin(ωt), and the amplitude is a function f(x) of the spatial variable x, giving a separation of variables for the wave function: (,) = ().