computes the polynomial moment for the region reg.
Examplesopen allclose all
Basic Examples (2)
Formula Regions (2)
Derived Regions (3)
Find the surface area of a cow using the zero-order RegionMoment:
Transform the region so that its RegionCentroid is at the origin:
Compute the matrix of second-order moments and normalize it by dividing by RegionMeasure:
Properties & Relations (8)
Zero-order moment for curves is equivalent to ArcLength:
Zero-order moment for surfaces is equivalent to Area:
Zero-order moment for volumes is equivalent to Volume:
The zero-order moment for any region is equivalent to the RegionMeasure:
RegionCentroid is the first moments divided by the zero moment:
MomentOfInertia can compute the moment of inertia matrix wrt to the origin consisting of multiple region moments:
RegionMoment computes corresponding to a uniform density:
As in the previous example, RegionMoment assumes uniform distribution:
Wolfram Research (2016), RegionMoment, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionMoment.html.
Wolfram Language. 2016. "RegionMoment." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionMoment.html.
Wolfram Language. (2016). RegionMoment. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionMoment.html