Sentence examples for expansion series from inspiring English sources

In addition, the multiplier constants for other terms in the expansion series are also computed.

Inclusions of higher order zeroth modes in Bassel's function expansion series shows the probability of overlapping of different types of acoustic modes in the designed PA cells.

As a consequence, the macroscopic potential obtained by homogenization is a quadratic function of the macroscopic strain gradient when the expansion series is truncated at the second order.

Further, rigorous mathematical manipulations have been carried out based on the theory of summation of multiple expansion series containing the hypergeometric functions.

Using the second order Taylor's expansion series, the required parameter variation to achieve a desired natural frequency shift for the structure is computed through second order differential or binomial equations.

It is proved that the second order term in the expansion series also exhibits a non linear dependence with the macroscopic strain but linearly depends on the gradient of macroscopic strain.

Series in (3.2) can be, for example, corresponding orthogonal expansions, series of exponents.

The two methods are based on the hybrid expansion, power series expansion and modal superposition, of the dynamic flexible matrix.

The two methods are based on the hybrid expansion, power series expansion and modal superposition, of the inverse of the complex dynamic system matrix.

One can think of the Volterra series expansion as a Taylor series expansion with memory.

DAM is conditionally stable for a finite series expansion and unconditionally stable for an infinite series expansion.