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If you could somehow saw through the bridge at its midpoint, through the center of the kink, the two halves would fall into the river in opposite directions.
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"With a pipette I added a last drop of ink into a messed up petri dish and saw this single drop expanding from the midpoint through to the edge of the petri dish before contracting in a fast reaction and decomposing into a mesh of thousands of microscopic dots," De Giuli explains.
In the process of re-branding the '2012 TYA Cancer Cohort Study' we discovered the branding process is ideally undertaken at the point of study conception and not midpoint through gaining regulatory approval and increasing awareness of the study, however we recognise the financial constraints of doing this.
The Mahalanobis distances (D m 1 is the Mahalanobis distance from cluster centre 1 and D m 2 is the Mahalanobis distance from cluster centre 2) that go through the midpoint (P) of the line connecting the two mean points (C 1 and C 2) of the pairs of clusters were then calculated.
For now, here is a look at the N.F.L. through the midpoint of the season.
The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2,0).
— NATE SILVER All of the states that Rick Santorum has won so far — North Dakota, Minnesota, Iowa, Missouri, Tennessee and Colorado — are contiguous with one another, forming a belt that stretches north-to-south through the midpoint of the country.
Communities became increasingly complex, and generic diversity (diversity of organisms at genus level) increased through the midpoint of the Middle Permian (Guadalupian) Epoch (272.3 million to 259.9 million years ago).
Z-sections were taken at a line running through the midpoint of the XY plane.
It is crucial to observe that in such a displacement, the barriers I, IV0 and V are rigidly attached to Π 2 (and hence remain fixed), and the barrier III continues to pass through the midpoint on the x-axis.
One transecting vertical reference line was then drawn from the tip of the spinous process through the midpoint of the anterior cortex of the vertebral body (Fig. 2b, f).
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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