Sentence examples for natural index from inspiring English sources

Generally speaking, for a parameter vector θ and its estimator (hat {boldsymbol {theta }}), the mean squared error matrix (mathrm {E}[(hat {boldsymbol {theta }}-boldsymbol {theta }) (hat {boldsymbol {theta }}-boldsymbol {theta })']) is a natural index for the estimation accuracy.

where N 1, N 2 ∈ N ( N 1 ≤ N 2 ) are arbitrary given natural numbers; δ ∈ N ( 0 ≤ δ ≤ [ N 2 − N 1 ] ) is an arbitrary given natural number (shift); and f ( i 1, i 2 ) is an arbitrary given function of natural index numbers i 1 and i 2. The previous expression E 2 can be rewritten as follows: E 2 = ∑ i 1 = 1 N 1 ∑ i 2 = 1 N 2 F ( i 1, i 2 ), (32).

We will further assume that there is a "natural" indexing for all the users based on their WH codes, where the index associated to a given user is the number of the column that its code sequence occupies in the order-L Hadamard matrix.

The problem with the Web was that its lack of any natural indexing or grouping, left it vulnerable to gatekeepers (Google, Yahoo, etc) who provided this ability and replicated the television model; using content to sell products/services.

Seven evaluation indices are selected by coupling the natural hazard index system and hydrological models.

Platts, a unit of McGraw-Hill that publishes the market report, said on Wednesday that the information had no effect on natural gas index values.

Therefore, we can make use of it as a homogeneous or natural performance index of manipulators.

The natural humidity index of the soil was derived from the scoring process of the monthly average of rainfall intensity.

Finally, the natural humidity index (Sh) was obtained from the summation of the monthly average rainfall intensity score (Table 5).

Using the natural convection index, evaluating critical heights of fractured rock layer based on winter-time natural convection in the ballast embankment was carried out.

A natural convection index for representing the cooling effectiveness of winter-time natural convection in the fractured rock embankment was defined.