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Therefore, the time to reach position k is D×S k.
For example, for the row column cursor path shown in Fig. 2, to reach position 12 (supposing the keys are indexed in sequence from left-to-right and top-to-bottom), it will first take two steps to reach the second row, and then four steps to reach the fourth column in row 2. Therefore, in this cursor path, the total number of steps to reach position 12 is S 12=2+4=6.
The same type of probabilities can be used to predict performance for a quadrant cursor path, where the predicted correct entry probability to reach position k would be π quadrant(k) π row(k) π column(k) and the predicted error entry probability is 1 minus that product.
26 The perceived maximal reach position was maintained for 3 seconds and recorded.
The distance between the initial hand position and maximal reach position is the lateral reach.
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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