In effect, HLM creates unique equations for each classroom and then uses those classroom-level equations to model an effect estimate across all classrooms.
Therefore it is possible to use a unique equation of the shape operator for both discrete and continuous geometry.
Linear regression has the advantage of being easy to implement, because a unique equation results for each predicted variable, and their prediction performance was similar to regression trees for point predictions (Tóth et al., 2012).
Different studies have shown, however, that there is no unique equation relating Is 50) to UCS for all rock types.
The problem for carmakers is that every car buyer performs an extremely complex and unique equation involving style, performance, reliability, expectation, brand cachet and price.
Once he decided to confine himself to these building blocks, their very paucity led him to an essentially unique tensor equation for the law of gravitation, in which gravitation emerged not as a force but as a manifestation of the curvature of space-time.
Second, the model has been modified and improved, using a unique kinetic equation for the adsorbed amount of protein, which allows the hydraulic resistance due to the adsorption to be calculated directly.
Comparisons of the IFCC network with the Swedish and Japanese standardization schemes revealed a unique regression equation for each network, with lower values obtained by the IFCC method in all cases (11, 34).
However, the number of unique equations is only six threee for second-order moments and three for third-order moments), resulting in the number of degrees of freedom being negative.
