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The cross-correlations exhibit an exponential decay in a sinusoidal pattern.
Coherent structures detected using the convected cross correlation do not exhibit an exponential coherent power decay.
The rate of deposition of biomacromolecular structures in the Protein Data Bank (PDB) has been proven to exhibit an exponential growth [8, 9].
The Lagrangian study shows that initially close fluid particle paths exhibit an exponential remoteness in the alternate configuration, a sign of chaotic advection flow.
We conclude this section by observing that the size of both the LPCD and the C-LPCD DAs exhibit an exponential growth, with the constrained model resulting in a higher growth rate.
Denitrification and integrated productivity exhibit an exponential relationship in the form ({text{R}}_{text{int}} = 0. 1 2 times e^{0.01; times ;PP}) (where Rint denotes integrated denitrification rates and PP denotes integrated primary productivity).
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The definition of multiple curve affine LIBOR models implies that the dynamics of OIS forward rates and forward LIBOR rates, more precisely of (1+delta _{x}F_{k}^{x}) and (1+delta _{x}L_{k}^{x}), exhibit an exponential-affine dependence in the driving process X; see (13) and (16).
The product of two χ2 distributions involves the gamma function [26] whose square approximately exhibits an exponential probability density function.
Figure 6 The influence of ion concentration on the electroosmotic flow rate that exhibited an exponential function.
Exhibiting an exponential increase in the storage modulus, a 3D gel network was formed in about 20 s.
Simulation results show that the rate of particle agglomeration exhibits an exponential increase with the bed temperature.
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