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Firstly, we describe original algorithms designed for calculating the intersection between a straight line and these particles.
But by doing shooting rays with direction (0,0,1) through the system and then calculating the intersection of the resulting ray with the z axis, I could determine the focal distance.
The first combining approach is to use a method called hyperbolic trilateration, where the node position is estimated calculating the intersection point of three circumferences.
Induction times were determined for mackinawite disappearance, greigite growth and decay, and pyrite growth by calculating the intersection of the linearly fitted line with α = 1 (mackinawite) or α = 0 (greigite and pyrite) (Table 2).
If the robot can measure the sound direction at two different positions on the 2D map, the sound position can be estimated by calculating the intersection of two lines pointing to the sound sources from the robot positions.
First, this paper proposes the foreground-mask sampling to localize the candidates of abandoned luggage items by calculating the intersection of a number of background-subtracted frames which are sampled over a period of time.
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Ray casting calculates the intersection point of a ray vector and a geometric surface representation, in this case encompassed within a bounding volume.
We then calculated the intersection of these two lines.
Jaccard similarity coefficients were generated for both the therapeutic network and for sub-networks using the following formula: Node 1 ∩ Node 2 Node 1 + Node 2 − Node 1 ∩ Node 2. This formula calculates the intersection of the two sets divided by their union.
We calculated the intersection of the set of 2,767 chemicals that have data from one of the high-quality and/or systematic toxicology data sources (NTP, IRIS, HPVIS, OPP/ToxRefDB, OECD SIDS, IARC, ATSDR) with the set of 3,060 chemicals with reasonable physicochemical properties.
We also calculated the intersections of the prediction intervals of the cricket line with the water source line.
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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