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kind of quantity

From IVoM: 

kind of quantity
kind
aspect common to mutually comparable quantities

NOTES

1 — In English, the term “quantity” is often used for kind of quantity. In French, the term “nature” is
only used in expressions such as “grandeurs de même nature” (in English, “quantities of the same
kind”).

2 — The division of the concept of ‘quantity’ according to ‘kind of quantity’ is to some extent arbitrary.
EXAMPLES

a) The quantities diameter, circumference, and wavelength, are generally considered to be quantities of the same kind, namely, of the kind of quantity called length.

b) The quantities heat, kinetic energy, and potential energy, are generally considered to be quantities of the same kind, namely, of the kind of quantity called energy.
3 — Quantities of the same kind within a given system of quantities have the same quantity dimension. However, quantities of the same dimension are not necessarily of the same kind.

EXAMPLE
The quantities moment of force and energy are, by convention, not regarded as being of the same
kind, although they have the same dimension. Similarly for heat capacity and entropy, as well as
for relative permeability and mass fraction.

Note that there is no need for an additional QuantityKind stereotype:

  • Quantities that share the same 'kind' form a set of Quantities (of the same kind).
  • Certain quantities can be their own 'kind', such as: energy, length, mass
  • A base Quantity (in a particular system) always has itself as its own 'kind'
  • A quantity that is its own kind (like energy) is not necessarily its own 'kind'.
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