Sentence examples for normality in terms of from inspiring English sources

The condition for normality in terms of ϕ, ξ, and η is + 2dη ⊗ ξ = 0 on M ̄, where is the Nijenhuis tensor of ϕ.

An almost contact structure is said to be normal if the almost complex structure J on the product manifold M ¯ × R given by J X X, f d d t ) = ( ϕ X − f ξ, η ( X ) d d t ), where f is a smooth function on M ¯ × R, has no torsion, i.e., J is integrable, the condition for normality in terms of ϕ, ξ and η is + 2 d η ⊗ ξ = 0 on M ¯, where is the Nijenhuis tensor of ϕ.

Diagnostic plots of residuals showed reasonable symmetry, but some deviation from normality in terms of kurtosis (Figure S1 & Figure S2).

The data were investigated for normality in terms of skewness and kurtosis and for univariate outliers.

Another possibility (suggested by Spohn, see section 7.2) is to explicate the normality conditions in terms of degrees of belief and ranking functions over possible worlds.

One possibility (suggested by Schurz, see section 7.1) is to explicate the normality condition in terms of a high probability of the consequent predicate, given the antecedent predicate, where the underlying conditional probabilities are objective statistical probabilities based on the dispositions of evolutionary systems.

If for each pair of functions f and g in F, f and g share the value 0 and f n f' and g n g' share a nonzero value a in D, then F is normal in D. In 2008, Zhang [10] obtained a criterion for normality of F in terms of the multiplicities of the zeros and poles of the functions in F and use it to improve Theorem 1.2 as follows.

Despite decades of research, the concept of normality in labour in terms of its progression and duration is not universal or standardized.

A two-step algorithm is developed, which demonstrates desired convergence properties including strong convergence, mean-square convergence, convergence rates, asymptotic normality, and asymptotical efficiency in terms of the Cramér Rao lower bound.

The overall concept suffering weakness, struggling to resume normality can be interpreted in terms of the following themes: Disturbed network (Table  2), Disturbed body (Table  3), Recovery (Table  4) and Reflections (Table  5).

He's a rich guy so I suppose you could describe him as a plutocrat … It's just absurd … I've known a lot of media moguls, right, and let me tell you something: in terms of normality, Rupert is the most normal of the lot.