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Also, we show by an example that the sufficient condition of Lagarias and Szabó [13] for the existence of universal spectra is not necessary.
      
A condition of the existence of stable positive steady-state solutions for a one predator two prey system
      
This paper provides a natural condition of the existence of stable positive steady-state solutions for the one predator two prey system.
      
The equivalent condition of this optimal design is given.
      
Different from rational quadratic Bézier curves, the value is generally related with the location of the ray, and the necessary and sufficient condition of the ratio being independent of the ray's location is showed.
      
Furthermore, the necessary and sufficient condition of A3=A but A2≠A is obtained, too.
      
Particularly, the sufficient condition of asymptotic stability of the equilibrium point is given as the system has an equilibrium point.
      
In this note, some of these conditions can be weakened to get the same results, and another simplified proof for a criterion of prequasi-invex functions established under the condition of lower semicontinuity is given.
      
In this paper, the general Marcinkiewicz integral operator μΩ,α on the Hp Sobolev spaces under the proper condition of kernel Ω(x') is considered.
      
Under the condition of irreducibility, it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.
      
The results weaken the condition of Q(t) and generalize some well-known results of Wong (1999) to nonlinear matrix differential equation.
      
Based on a simplified version of the convex simplex method, the uniqueness condition of optimal solution and the computational procedures to determine all optimal solutions are given, if the uniqueness condition is not satisfied.
      
In this paper, an equivalent condition of a graph G with t (2 ≤ t ≤ n) distinct Laplacian eigenvalues is established.
      
By applying this condition to t = 3, if G is regular (necessarily be strongly regular), an equivalent condition of G being Laplacian integral is given.
      
It was found that bias imposed by SEKI under the condition of continuous sample matrix/running buffer was similar to that done by electrokinetic injection (EKI).
      
On the condition of weak acidity, the sensitive layer was prepared by electropolymerization of o-aminophenol on a gold electrode in the presence of the template (nicotine).
      
Under the same condition of identical temperature and alcohol concentration, the values of CMC, ΔH?m, ΔG?m and ΔS?m decrease with the increase of the alcohol's carbon number.
      
Based on the optical path matching condition of SDM, the intensity characteristic of the interference signal in the sensor is deduced.
      
The conclusion that this algorithm will definitely converge to the optimal solution under the condition of 0>amp;lt;q0>amp;lt;1 was proved true.
      
(3) The increased return amount of N in mixed fine roots could improve the N nutrient condition of poplar trees.
      
 

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