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 γ_{B} = 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 γ_{B} = 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. |

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