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The TY test is to artificially augment the correct order, k, by the maximal order of integration, say d max.
Thus the bins width of this grid corresponds to the maximal order of Legendre polynomials (8th order) in Eq. (2).
Expressive power of these formalisms is measured in terms of the maximal order of the constants in the abstract vocabulary and of the object types interpreting the atomic abstract types.
It is important because it can be used to estimate the maximal order of the zeta-function on the critical line, and because of its applicability in studying the distribution of prime numbers and divisor problems.
This test has an asymptotic Chi-square distribution when a VAR (k + d(max)) is estimated (where d max is the maximal order of integration suspected to occur in the system).
Estimate (1.7) shows the maximal order of possible singularity at point O, when the right-hand side function (f x,t)) is a "harmonic polynomial" of fixed order l.
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If the maximal orders of magnitudes of production and consumption rates for S2 are different from each other, the species number of S2should be large enough so that a difference between production and consumption of S i is not noticeable.
In this paper, we obtain maximal order for two types of SGLMs with Runge Kutta stability (RKS) property.
Its parameter space is such that the equations in Chapter 6 of Kamke [10] are essentially covered; for the maximal order K of (y') the value (K=2) is chosen, with rational coefficients of maximal degree 3 or 2 in y and x respectively.
For simplicity of notation we present a problem of maximal order four which can be given in a fully implicit form, (3.2a).
For every fixed x ∈ C, the set ( { t ∈ C : F ( x ) ( t ) ∈ min { F ( x ) ( y ) : y ∈ C } }, ≽ B ) is a nonempty inductive subset of C with a finite number of maximal order clusters.
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