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A dimensional equation can have the dimensions reduced or eliminated through [[nondimensionalization]], which begins with dimensional analysis, and involves scaling quantities by [[characteristic units]] of a system or [[natural units]] of nature. This may give insight into the fundamental properties of the system, as illustrated in the examples below.
The dimension of a [[physical quantity]] can be expressed as a product of the base physical dimensions such as length, mass and time, each raised to an integer (and occasionally [[rational number|rational]]) [[power (mathematics)|power]]. The ''dimension'' of a physical quantity is more fundamental than some ''scale'' or [[units of measurement|unit]] used to express the amount of that physical quantity.
There are many possible choices of base physical dimensions. The [[International System of Units|SI standard]] selects the following dimensions and corresponding '''dimension symbols''':{{anchor|Dimension symbol}}
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