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
Cycles per instruction the number of clock cycles it takes to execute an instruction is 1/2 (CPI = 1/2 < 1). For the multi-cycle MIPS, there are five types of instructions: If a program has: then, the CPI is: formula_6 A 400-MHz processor was used to execute a benchmark program with the following instruction mix and clock cycle count: Determine the effective CPI, MIPS (Millions of instructions per second)rate, and execution time for this program. formula_7 formula_8 since: formula_9 and formula_10 formula_11 Therefore: formula_12 Cycles per instruction In computer architecture, cycles per instruction (aka clock cycles per instruction, clocks per instruction, or CPI)