The Buckingham π theorem describes how every physically meaningful equation involving n variables can be equivalently rewritten as an equation of n − m dimensionless parameters, where m is the rank of … See more

In dimensional analysis, a ratio which converts one unit of measure into another without changing the quantity is called a conversion factor. … See more

Dimensional analysis is most often used in physics and chemistry – and in the mathematics thereof – but finds some applications outside … See more

A simple example: period of a harmonic oscillator
What is the period of oscillation T of a mass m attached to an ideal linear spring with spring constant k suspended in gravity of strength g? That period is the solution for T of … See more

Many parameters and measurements in the physical sciences and engineering are expressed as a concrete number—a numerical quantity and a corresponding dimensional unit. … See more

The most basic rule of dimensional analysis is that of dimensional homogeneity.
However, the dimensions form an abelian group under … See more

The origins of dimensional analysis have been disputed by historians. The first written application of dimensional analysis has been credited to See more