Sentence examples for model equations as from inspiring English sources

The chapter provides select model equations as well as quantitative assessments of model errors and judgments of model suitability.

Therefore, the depth of failure ( l_{f} ) is substituted for the model equations as the same as ( l_{e} ) in the ACI model equations in which ( l_{e} = h_{ef} ) for anchors with a constant stiffness over the full length of an embedded section, and ( l_{e} ) will never exceed ( 8d_{o} ) (ACI Committee 349 2015), and empirical constants are found within this condition.

For each parameter value set, the program integrates the model equations as follows.

Pseudo-performances and their associated weights were included in Henderson's mixed model equations as if they were regular records.

Using ASREML software [ 15], records from the training population entered the mixed model equations as the y vector, solving for the predicted breeding values.

(We remark that this leads to a minor modification in the above model equations as the mating history of introduced and pre-existing females must be tracked separately until sufficient time has passed for the introduced cohort to have died).

we can then write the model equation as u t + u u x - 1 2 Δ t β - β u β u β u u u x x = 0. (5.8).

Compounds containing other elements such as sulfur, phosphate, and iodine were included in this analysis, but were not used in generation of the model equation as they form high mass defect compounds such as sulphates, phosphates and thyroid hormones.

In this paper, we use a different approach from the article [13] to prove the existence of pullback attractors, and we improve the model equation as Eq. (1.1), which amounts to putting a weight function partially on the nonlinearity.

Consequently, we developed a new model equation as given by: (2) D = (a − b t n ) t where a, b and n are constants.

This entails defining appropriate incidence matrices Z X for each source and rewriting the model equation as (4) where Z X of order n × q X are related to the q X non-null breeding values by breed origin, X = { A, B, S}.