centroid
Definition
- Noun:
- The center of mass of an object of uniform density: The point at which the entire mass of an object can be considered to be concentrated for the purpose of analyzing translational motion. For a shape with uniform density and thickness, the centroid is its geometric center.
Usage Examples
- Noun:
- The centroid of a triangle is the point where its three medians intersect.
- Engineers calculated the centroid of the component to ensure proper balance.
Advanced Usage
- In Statistics: The term "centroid" is also used in multivariate statistics and data clustering to refer to the mean position of all the points in a cluster.
- The algorithm updates the position of each cluster's centroid after every iteration.
Variants and Related Words
- Centroidal (adj): Of or relating to a centroid.
- The centroidal axis is important in structural engineering.
Synonyms
- Center of mass (for a physical object of uniform density).
- Geometric center (for a perfect geometric shape).
- Barycenter.
Related Phrases
- Centroid of an area: A specific application in engineering mechanics referring to the geometric center of a two-dimensional shape.
- The shear stress calculation depends on the centroid of the cross-sectional area.
Noun
-
the center of mass of an object of uniform density
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