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Rather than tuning the eigenstructure of the subdivision matrix, we improve shape by adding a point and enriching the refinement rules.
Ptolemy modified the model of planetary motion by adding a point offset from the center of the planet's circular orbit about which the planet moves at a uniform rate of rotation.
Create the top of the "s" by adding a point.
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We evaluated whether the diagnostic accuracy can be improved by adding a point-of-care-ultrasonography (POC-US) to routine exams and if an early use of this technique produces any advantage.
By adding a point-of-care PHHE examination lasting <6 min, medical residents were able to obtain reliable information of important cardiac structures and great vessels in patients admitted to a medical department.
In such a case, the function often takes extreme values near the boundary: consequently, by adding a virtual point outside of V that takes a still more extreme value, we can eliminate the domain boundary so that we get a function on a manifold without boundary.
For example, as shown in Figure 2 we can split the non-linear trajectories between and into smaller units by adding a time point between and, as a result the trajectories between and as well as between and are close to linear.
We also found no improvement in fit by adding a second change point (P = 0.442) compared with a 1-change-point model.
(You can rescue such an error by adding an exclamation point to the end of your sentence: "A neuron can grow to be as long as 0.00011 football fields!").
To simplify the rating process, we added a quantitative aspect to evaluations using the PRECIS tool by adding a visual 20-point numerical scale, where 1 represented 'entirely explanatory' and 20 represented 'entirely pragmatic'.
New Zealanders often reply to a question or emphasise a point by adding a rising intonation at the end of the sentence.
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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