finite length
7.It is theoretically analysed that the measure precision of long wavelength laser is difficult to improve by laser wavelength measure device. An improved algorithm is proposed by using DFT for precisely measuring the frequency of a finite length periodic sequence. The simulation result indicates that the algorithm is practical.
8.In this paper the classical sampling theoems are extended into a more general form and in terms of the extensions the error expression of numerical Fourier transform (or DFT deviation equation) is developed in which the discretization effect and finite length effect inherent in the numerical Fourier Transform are expressed mathematically.
9.Using the corresponding relationship built by the method used in [1], we give the construction of the Gabriel topologies arising from any additive rank function and the con- struction of the corresponding quotient rings for any right noetherian semiprime ring. There- fore we establish the association between the additive rank function in noetherian rings and the finite length in the module category for an artinian ring.
10.Based on the calculation result of the theory of cylindrical shells, the influence degree of reinforcing action of the end cap of the finite-length pressure vessel with an elliptical cross section on the bend stress at a dangerous point was expressed as stress correction coefficient γ, and the relation between γ and the shape and size of shells regressed to be a function expression for engineering application.
