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The inhibitory unit is active at the fixed point since ({widehat {u}_{1}+widehat {u}_{2}geqtheta/ 1- q/widehat {w}^{mathrm{I}})) > theta}) given any set of permissible parameters.
For any set of permissible parameters, the fixed point is stable to even perturbations (in the direction of the eigenvector (textbf{v}_ = [1 1] ^{mathsf{T}})) since (lambda_ = w^{0}+q-2widehat {w}^{mathrm{I}}< 1).
(21) The inhibitory unit is again active at the fixed point given any permissible parameters since widehat {u}_{1}+widehat {u}_{2} = frac{2widehat {w}^{mathrm{I}}theta+ widehat {b}_{1}+widehat {w}_{2}}{2widehat {w}^{mathrm{I}}- w^{0}-1)-q} geqfrac{theta}{1-frac {(w^{0}-1)+q}{2wI}}- w^{w}^{mathrm{I}}}} > theta.
Similar(57)
All other relations are consequence of Theorem 3. Conditions (18a), (18b) and (18c) in Theorem 4 imply several simple practical steps that help to fix the permissible parameter space of coefficients a 0,a 1 and a 2 in (mathcal {L}(mathbf {x};mathbf {a})).
Contributions from S 1 (Africans) vary over most of the permissible parameter space, but the S 2 contributions (Europeans) take their values from a narrower range.
Note that for several traits, genetic variance was constrained to the boundary of biologically permissible parameter space (i.e. negative values of VA are not generally interpretable) such estimated h also equals zero.
As a result, Eq. (12) has no a pair of conjugate complex roots with modulus 1 for all permissible values of parameters.
By Lemma 2.1 and the discussion above, we list the stability of trivial equilibrium point (E_{0}) for all permissible values of parameters in Table 1.
have laxative effect Cl− 250 5 Injurious to people with heart and kidney ailment SO42− 250 – Causes gastrointestinal irritation NO3− 50 20 Methaemoglobinemia in infants F− 1.5 10 Dental caries, crippling skeletal fluorosis DL desired limit, MPL maximum permissible limit, all parameters expressed in mg/L except pH.
In light of the studied parameters, permissible limit to very high degree of contamination (Cdeg > 16) was observed in both seasons.
The second set of thresholds, denoted by C L, indicates the maximum value of each parameter permissible for avoiding hybridization.
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