Sentence examples for index is established from inspiring English sources

Operators of Kähler-Dirac type are defined in an abstract infinite dimensional Boson-Fermion Fock space and a path integral representation of their index is established.

An analytical index is established for simplifying the prediction for the cutting force and estimating the fluctuation of it based on the model.

A SLS index is established and the entropy weight method used to determine the weight of the indices and analyze spatial distribution.

In particular, a path integral representation of their index is established, which gives a topologically invariant integer-valued functional on a space of functionals with values in a Hilbert space.

According to the self-diffusion approach of the free-volume theory in ternary systems and its application in a high-conversion polymerization system, a model of forming the graded index is established, and a quadratic refractive index (RI) distribution on the cross-section of the preform is obtained.

Finally, 26 main control factors are selected, and then the index system is set up; in addition, by calculating the weight and establishing the membership function and evaluation set, and then selection evaluation system on co-mining of "the three gas" in coal series stratum with a four layer index is established.

When the index was established in 2002, Thailand ranked 65.

A degradation model to describe the evolution of degradation index was established and validated.

Relationships between chemical components of volcanic rocks and strength activity index were established.

The proliferation index was established by [H3]thymidine (1 μCi/ml) in the cell culture medium.

Bread quality index was established using the instrumental analysis of bread parameters that influence the consumers' acceptability.