http://qudt.org/schema/qudt/QuantityDimensionVector

A Quantity Dimension Vector is a relationship between a quantity system, a quantity kind of that system, and one or more dimension vectors. The dimensions of a quantity are expressed as a product of the basic physical dimensions mass (\(M\)), length (\(L\)), time (\(T\)) current (\(I\)), amount of substance (\(N\)), luminous intensity (\(J\)) and absolute temperature (\(\theta\)) as \(dim \, Q = L^{\alpha} \, M^{\beta} \, T^{\gamma} \, I ^{\delta} \, \theta ^{\epsilon} \, N^{\eta} \, J ^{\nu}\).

The rational powers of the dimensional exponents, \(\alpha, \, \beta, \, \gamma, \, \delta, \, \epsilon, \, \eta, \, \nu\), are positive, negative, or zero.

For example, the dimension of the physical quantity \(\it{speed}\) is \(\boxed{length/time}\), \(L/T\) or \(LT^{-1}\), and the dimension of the physical quantity force is \(\boxed{mass \times acceleration}\) or \(\boxed{mass \times (length/time)/time}\), \(ML/T^2\) or \(MLT^{-2}\) respectively.

http://qudt.org/schema/qudt

http://qudt.org/2.0/schema/qudt

Quantity Dimension Vector

Quantity Dimension Vector

qudt:QuantityDimensionVector

Quantity Dimension Vector

http://en.wikipedia.org/wiki/Dimensional_analysis

http://web.mit.edu/2.25/www/pdf/DA_unified.pdf

http://qudt.org/schema/qudt/Concept