centroid
Noun
Meaning
The center of mass, inertia, or gravity of a body or system of bodies.
Source: Webster's dictionarySynonyms
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A centroid is a location that has a high proportion of a country's population and a high proportion of its manufacturing, generally within convert.
Also, the geometric centroid of the area under a stretch of catenary is the midpoint of the perpendicular segment connecting the centroid of the curve itself and the x-axis.
A line segment joining a vertex of a tetrahedron with the centroid of the opposite face is called a median and a line segment joining the midpoints of two opposite edges is called a bimedian of the tetrahedron.
A midplane is defined as a plane that is orthogonal to an edge joining any two vertices that also contains the centroid of an opposite edge formed by joining the other two vertices.
Each group is represented by its centroid point, as in k-means and some other clustering algorithms.
If you have problems figuring out the centroid equation, remember that a centroid is defined by summing all the moments (location times mass) around the center of gravity and equating the sum to zero.