with a scalar field in an almost flat potential. If one considers a quantized approximately massless scalar field in de-Sitter space, expanded into Fourier components with quantized mode functions, vk then it is straightforward to calculate the zero-point quantum fluctuations of these mode functions, (

Glass, and continuously feed a visual depiction of auditory input into a corner of the display. The input should transform the result of a filtered Fourier analysis of the sounds around the subject into regular colors and patterns that can easily be discerned visually. At the same time, plug the ears of

Glass, and continuously feed a visual depiction of auditory input into a corner of the display. The input should transform the result of a filtered Fourier analysis of the sounds around the subject into regular colors and patterns that can easily be discerned visually. At the same time, plug the ears of

4-4‘1))ba) = Loa + Z ( n°) ti(e",-.6)),„b nb where ok, = Va. and Rafr and 'lid, satisfy the properties above. We can now expand & I, and thd, in Fourier series. (23) (24) R.(e1(‘ -ta)ab = RI, s111`.(n(4ki + 0:1,b) (25) ?MG EFTA_R1_02022336 EFTA02688810 8 CO u (eOrt)),,b = I Cbcos0(4). — (

ics of sounds." Fermi submitted an "essay" that included solving partial differential equations for a vibrating rod and applying a technique called Fourier analysis. Even today, these mathematical techniques are not normally encountered until maybe the third year of an undergraduate degree, and for som

densities in the tails of the probability distribution as they approach extreme values along the x axis, called the Levy exponent when represented in Fourier space (technically, as a “characteristic function” of the probability distribution) (Shlesinger, 1988; Shlesinger et al, 1995), can also be computed