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In the ℓ1 case a least squares criterion is used but restricted to the ℓ1 residual condition.
Applying Eq. 7 to a zero residual condition leads to begin{array}rcl@ 0 doteq F_{text{obs}}(r) - F(r + dr) = delta F - frac{partial F r)}{partial r}dr, end{array} (8).
Residual condition indices offer a reasonable proxy for fat mass (Labocha & Hayes, 2012).
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The experiments were performed under residual conditions.
The failure interface in a liner system under residual conditions is usually different from the failure interface under peak conditions.
where δ j are the time dependent quantities to be determined from the boundary and weighted residual conditions.
Results show that the indicator-tracer approach could be used to create residual conditions without increasing estimation uncertainty of Sgr.
To develop the model, a sequential data length of 20, 30, 40, 50, 60, and 70 (days) was first introduced (taking into consideration simultaneous data integrity under no residual conditions).
Very few data are available in the literature, but useful information could be obtained in "residual" conditions, i.e. by testing the specimen at room temperature after a suitable thermal cycle.
In addition, through a comprehensive analysis of the combined test database a unified stress strain model was developed to predict the peak and residual conditions and the complete stress strain behavior of unconfined and actively confined concretes.
Tropical Storm Allison's development in the Gulf of Mexico was partially related to residual conditions from Cosme's remnants.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com