1.60 quantity dimension dimension of a quantity dimension Expression of the dependence of a quantity on the base quantities of a system of quantities as a product of powers of factors corresponding to the base quantities, omitting any numerical factor. Example 1: In the International System of Quantities (ISQ), the quantity dimension of force F is denoted by dim F = LMT−2. Example 2: In the same system of quantities, dim γB = ML−3 is the quantity dimension of mass concentration of component B, and ML−3 is also the quantity dimension of mass density (volumic mass), ρ. Note 1: A power of a factor is the factor raised to an exponent. Each factor is the dimension of a base quantity. Note 2: The conventional symbolic representation of the dimension of a base quantity is a single upper-case letter in roman (upright) sans-serif type. The conventional symbolic representation of the dimension of a derived quantity is the product of powers of the dimensions of the base quantities according to the definition of the derived quantity. The dimension of a quantity Q is denoted by dim Q. Note 3: In deriving the dimension of a quantity, no account is taken of its scalar, vector or tensor character. Note 4: In a given system of quantities, — quantities of the same kind have the same quantity dimension, — quantities of different quantity dimensions are always of different kinds, and — quantities having the same quantity dimension are not necessarily of the same kind. Note 5: Symbols representing the dimensions of the base quantities in the ISQ are given in Table 1.5. Source: [VIM 1.7] with Example 3 omitted.
 1.60 quantity dimension dimension of a quantity dimension Expression of the dependence of a quantity on the base quantities of a system of quantities as a product of powers of factors corresponding to the base quantities, omitting any numerical factor. Example 1: In the International System of Quantities (ISQ), the quantity dimension of force F is denoted by dim F = LMT−2. Example 2: In the same system of quantities, dim γB = ML−3 is the quantity dimension of mass concentration of component B, and ML−3 is also the quantity dimension of mass density (volumic mass), ρ. Note 1: A power of a factor is the factor raised to an exponent. Each factor is the dimension of a base quantity. Note 2: The conventional symbolic representation of the dimension of a base quantity is a single upper-case letter in roman (upright) sans-serif type. The conventional symbolic representation of the dimension of a derived quantity is the product of powers of the dimensions of the base quantities according to the definition of the derived quantity. The dimension of a quantity Q is denoted by dim Q. Note 3: In deriving the dimension of a quantity, no account is taken of its scalar, vector or tensor character. Note 4: In a given system of quantities, — quantities of the same kind have the same quantity dimension, — quantities of different quantity dimensions are always of different kinds, and — quantities having the same quantity dimension are not necessarily of the same kind. Note 5: Symbols representing the dimensions of the base quantities in the ISQ are given in Table 1.5. Source: [VIM 1.7] with Example 3 omitted.

Close Modal