The generalized Abel's integral equations on a finite segment appeared in the paper of Zeilon [15] for the first time.
From Equation (3), it emerges clearly that, for a given number of nodes falling in a finite segment I, their average positions are equally spaced.
Hence, it is generally not possible to exactly represent a non-linear dynamical system by a linear one over finite segments of the evolving trajectories in the phase space.
We derive explicit lower bounds on the first eigenvalue of finite segments of the randomly curved waveguide in the small coupling (i.e. weak disorder) regime.
By the very nature of the notion of lawless sequence, the choice of the number $n$ for which $A(\alpha,n)$ holds has to be made after only a finite initial segment of $\alpha$ is known.
A propagation model method for extracting the normal incidence impedance of an acoustic material installed as a finite length segment in a wall of a duct carrying a nonprogressive wave field is presented.
The model can be divided into a finite number of segments in the longitudinal direction with each individual segment having a unique characteristic resonant frequency, decreasing from 20 kHz, at the base, in the human, to about 200 Hz at the apex over the 35 mm BM length, as shown in Figure 11.
A finite beam segment element with 8 degrees of freedom is developed to analyze the shear lag effect in complex continuous box girders with varying depth.
Each job τ i,j has a finite sequence of segments S i, arrives at time a i,j such that a i,j+1−a i,j ≥T i, and must be completed within [a i,j,d i,j ) where d i,j =defa i,j +D i is its absolute deadline.
