Sentence examples for two special variables from inspiring English sources

Suppose that any point is described by two special variables: "Slow" coordinate x, giving the general location of the point "Fast" coordinate ξ∈Y, the location of the point within the periodic cell.

Since NA random variables and ρ̃- mixing random variables are two special cases of ANA random variables, Theorem 2.1 is an extension and improvement of Theorems A and B for NA random variables, Theorem C for ρ̃-mixing random variables.

The ijth element of the correlation matrix R can then be calculated as R i j = V i j V i i V j j Simplified formulas for two special cases (binary and trinomial variables), using 2 × 2 and 3 × 3 contingency tables, can be found in Okada et al. [ 30, 33].

It has two special rows, one for symbols for variables, and one for a description of each column.

In contrast, the second research included assignment of participants to two different experimental conditions, annotation counts, and LIWC special variables for linguistic analysis.

Two special mentions were made.

Once he had two special keys.

Two special cases are evaluated.

Two special cases are illustrated.

This study has two special merits.

Here we give two special cases.