By introducing, the matrix exponential of Qt becomes.
The first and main contribution of this paper is introducing the exponential reproducing windows into Gabor sampling scheme and reducing the time domain modulation functions, constructed by appropriately weighted window sequences, to simple exponential functions.
For this second approach characterized by a generalized coordinate-dependent exponential NSL, we initiate by introducing the basic properties.
We begin by introducing the replicator dynamics.
This new algorithm is based on first transforming the partial differential equations by introducing an exponential function to eliminate the convection terms.
S. J. Wang et al. [28] present an exponential locality preserving projections (ELPP) via introducing the matrix exponential function.
By introducing an exponential function, this new expression is capable of capturing the cyclic life over the entire span of extremely low cycle fatigue to low cycle fatigue with an additional material parameter to calibrate.
By introducing boundary damping, the exponential stabilization of a non-linear elastic panel is considered.
The undesirable chattering effect is reduced by introducing a novel exponential Multi-Level Switching (MLS) technique in order to protect control valve.
In the present study, relationship between yield stress and λ for single-fraction cement pastes was established by introducing an exponential-type function.
