Under the condition of large parameters, it is difficult in signal processing to use the small parameter stochastic resonance (SR) approach to detect a weak signal submerged in strong noise from the response power spectrum of a bistable system.
A dimensionless parameter, the Peclet number Pe, which reflects the rate of the heat removed by the flowing fluid in the fracture from the surrounding formation, is then used as the small parameter for the regular perturbation analysis.
Sequence analysis was performed using the Small RNA Analysis Tool (RNA2MAP) [ 25] using the following parameters: three color-space mismatches within the 'seed sequence' (first 18 bases of the reads), and six color-space mismatches on the following positions of the 35 bp reads.
Good initial guesses for the nonlinear solver are obtained using continuation in the small parameter ϵ.
Indeed, in accordance with the principle of parsimony, this forward model fitted well all eight categories of stimuli read or perceived, using the smallest number of parameters (paths) offering a good trade-off between bias and variance.
Particularly, authors of [ 7] defined identifiability of parameter subsets using the smallest eigenvalue of corresponding sub-matrices of the FIM.
In the process, the three-dimensional electromechanical enthalpy functional is approximated asymptotically using the slenderness as the small parameter to find out an equivalent one-dimensional electromechanical enthalpy functional.
It is then computable from the deviation of the given from the intended start time alone (using an estimate of the small parameter V ̄ r whose precise value is not critical for the correction).
For the large-scale radial flow capsule, the CFD model quantitatively predicts breakthrough data using binding parameters independently determined using the small-scale axial flow capsule, identifying structural irregularities within the membrane pleats as an important source of band broadening.
For the first approximation of the solution of the non-linear mathematical model, the averaging method, based on the small parameter theory, is used.
