. 2024 Oct 3;17(19):4870. doi: 10.3390/ma17194870

Table 3.

For the uni-mode Gauss-like spectrum, $H (τ)$ (65), and the models ${\bar{H}}_{K}^{M} (v)$ (41), ${\bar{H}}_{K} (v)$ (42), and ${\bar{H}}_{K} (τ)$ (43): time-scale factors $α$ ; numbers of model summands $K$ ; regularization parameters $λ$ ; the model’s smoothness indices ${‖{\bar{H}}_{K}^{M} (v)‖}_{2} = {‖{\bar{H}}_{K} (τ)‖}_{2}$ (61) and ${‖{\bar{H}}_{K} (v)‖}_{2}$ (62); the mean square relaxation modulus approximation index $Q_{K} ({\bar{g}}_{K} (λ))$ (58); norms ${‖{\bar{g}}_{K} (λ)‖}_{2}$ (49) of the model parameter vectors; the integral square approximation indices $J ({\bar{g}}_{K} (λ))$ (63); and relative index $J_{r e l} ({\bar{g}}_{K} (λ))$ (64).

$K$	$α$ $[s]$	$λ$ $[s^{- 1}]$	${‖{\bar{H}}_{K} (τ)‖}_{2}$ $[k P a \cdot s^{1 / 2}]$	${‖{\bar{H}}_{K} (v)‖}_{2}$ $[k P a \cdot s^{- 1 / 2}]$	$Q_{K} ({\bar{g}}_{K} (λ))$ $[{k P a}^{2}]$	${‖{\bar{g}}_{K} (λ)‖}_{2}$ $[k P a \cdot s]$	$J ({\bar{g}}_{K} (λ))$ $[{k P a}^{2} \cdot s]$	$J_{r e l} ({\bar{g}}_{K} (λ))$
20	4.90	3.1 × 10⁻⁶	8.194688	1.000985	3.681218 × 10⁻⁵	8.752841 × 10³	3.548595	0.0500
50	3.75	9.0 × 10⁻⁶	8.167268	0.847115	3.486716 × 10⁻⁵	4.639282 × 10³	2.461727	0.0347
100	3.98	7.8 × 10⁻⁶	8.193556	0.861458	3.272773 × 10⁻⁵	7.334379 × 10³	2.439776	0.0344
150	3.75	5.5 × 10⁻⁶	8.248417	0.865259	3.310334 × 10⁻⁵	1.281206 × 10⁴	2.625005	0.0370
200	4.08	9.5 × 10⁻⁶	8.173553	0.869989	3.299329 × 10⁻⁵	8.550751 × 10³	2.875342	0.0405