Spinodal decomposition both complete one cycle per second—but they represent different frequencies in the Fourier transform. Hence, frequency no longer measures the number of cycles per unit time, but is closely related.) If A(β) is the amplitude of a Fourier component of wavelength λ and wavenumber β = 2π/λ the spatial variation in composition can be expressed by the Fourier integral: in which the coefficients are defined by the inverse relationship: Substituting, we obtain on equating coefficients: This is an ordinary differential equation that has the solution: in which "A(β)" is the initial amplitude of the Fourier component of wave wavenumber β
Control of Vibration at Work Regulations 2005 is the maximum amount that an employee can be exposed to in a day. The values are measured using a formula which works out the average (A) exposure over an 8-hour day. The values are therefore written as A(8). The rate of vibration of a tool or piece of machinery is then measured in metres (m) per second (s) and written as m/s². In order to help employers calculate the exposure levels using the formula, the Health and Safety executive created an exposure calculator. Regulation 5 requires any employer who exposes employees to risk from vibration to make a 'suitable