zerothorder 
The zerothorder general Randi? index of a graph is defined as $$R_{\alpha}^0(G)=\sum_{v\in V(G)}{d_{v}}^{\alpha}$$ where α is an arbitrary real number.


Firstly, we build up a zerothorder model and analyse the effects produced by a potential coronal field or a constantα forcefree field.


In the zerothorder approximation, the dispersion coefficient is calculated using the convectiondispersionreaction equation with constant parameters, that is, perturbation corrections to the local equation are ignored.


This zerothorder dispersion coefficient is a linear function of the variance of the Damk?hler number, ?(ΔDa)2?.


The zerothorder approximation does not give accurate predictions of mixing or spreading of a plume when Damk?hler numbers, Da ? 1 and its variance, ?(ΔDa)2? >amp;gt; 0.25 ?Da2?.


The rate of disappearance of [CeIV] shows a firstorder dependence on both [Os]T and [DMSO]T and zerothorder kinetics with respect to [CeIV].


The kinetics are firstorder in each of the hydrogen ion, selenomethionine and ferrate ion concentrations over the pH range 8.53 to 10.13, but zerothorder in hydrogen ion concentration at lower pH values.


It is striking to note that the uncatalysed path shows a secondorder dependence on [H+], while the PAcatalysed path shows a zerothorder dependence on [H+].


In this paper, we are concerned with the nonoverlapping domain decomposition method with Lagrange multiplier for threedimensional secondorder elliptic problems with no zerothorder term.


Mating inDrosophila is precisely characterized by an exponential phase based on secondorder kinetics coupled with an initial lag phase based on zerothorder kinetics.


The process has a significantly lower activation energy (14±1 kJ/mol compared to 26±2 kJ/mol on aluminasupported catalysts) and different reaction orders for both CO (zerothorder compared to 1) and 02 (0.40 to 0.46 compared to firstorder).


Similar to the hydrogenation kinetics of butenes, 1,3butadiene hydrogenation exhibits near zerothorder dependence on hydrocarbon and near firstorder dependence on hydrogen pressure.


Approximate first and zerothorder kinetics with respect to the hydrocarbon and oxygen concentrations, respectively, was observed in all cases.


Applying the dual operator formalism to derive the zerothorder boundary function of the plasmasheath equation


The secondorder differential equation describing the behavior of the zerothorder boundary function is investigated using the dual operator formalism  an analog of the conjugate operator in the linear theory.


Numerical solution of the differential equation describing the behavior of the zerothorder boundary function


A numerical algorithm is considered for the solution of the secondorder differential equation describing the behavior of the zerothorder boundary function.


A secondorder differential equation is derived describing the behavior of the zerothorder boundary functions.


Zerothorder correlations distinguished the selfcritical perfectionism variables (i.e., socially prescribed perfectionism, selfcriticism, and the solitude subscale of autonomy) from selforiented perfectionism.


The zerothorder field equations are exactly the classical field equations for matter fields on Minkowski space subject to local action of an internal symmetry group (classical gauge theory).

