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where L and & − L are the upper and lower saturation limits, n is net input to the neuron, β is the slope of the model function, and θ is the gain of the model function.
The difference with the case of α-pulse is so strong that it cannot be reconciled even by taking the limit α → ∞ (zero pulse-width), indicating that the limits N → ∞ and zero pulse-width do not commute [21].
It has the following two interesting limits N crit N max, j = { 8 3 Q − 1 l d L J, for L J ≪ l d, 16 3 Q − 1, for lumped element JPA.
Table 1 Description of the soil water availability conditions of the treatments Treatment Number of trees Number of lysimeters Relative soil water availability Soil water content Soil matric potential Limits (n) (n) (Vol-%) (pF) WA35 3 3 35 7 < −3.5 Wilting limit WA70 3 3 70 14 2.5 Intermediate WA100 3 3 100 20 > −2 Hydrostatic state.
(11 where T buffer is a temperature margin that was defined in [23] to avoid the violation of temperature limits; N is the number of heat pumps; (T_{i}^{k},T_{ +,i}^{k},T_{ -,i}^{k}) and (Z_{i}^{k}) are the room temperature, upper, lower limits and off/on state of i th heat pump at step k, respectively.
Table 1 Physico-chemical characteristics of influent wastewater from January to November 2009 Parameter (mg L−1) Value TSS 242 ± 53 BOD 163 ± 46 Nitrate nitrogen BDL Nitrite nitrogen BDL Total Kjeldahl nitrogen 36.7 ± 10.8 Total phosphorus 7.2 ± 2.1 Source (HHR 2009) BDL below detectable limits, n = 28.
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Lack of ammonium accumulation indicated that denitrification limits N-supply to plants in down-gradient fen areas.
= sum limits _{n = 0}^{N - 1} {x_n psi ^* left(frac{{(n - tau )dt}}{s}right)} end{aligned} (1 where s and (tau ) represent the scale and translation, respectively and "*" means complex conjugation.
Let begin{aligned}e_v=lim limits _{n rightarrow infty }g_v(n g_v(n)^*.
The sequence is said to be good for mean-square error quantization if (lim limits _{n to infty } G(Lambda ^{(n)})=frac {1}{2 pi e}).
The sequence is said Rogers-good [21] if (lim limits _{n to infty } frac {r_{text {cov}}^{(n)}}{r_{text {eff}}^{(n)}}=1), that is if the covering radius approaches the effective radius.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com