For example translation parallel to the x-axis by u units , as u varies , is a one - parameter group of motions .
The simplest motions follow a one - parameter subgroup of a Lie group , such as the Euclidean group of three - dimensional space .
Translation parallel to the x-axis by u units , as u varies , is a one - parameter group of motions .
The simplest motions follow a one - parameter subgroup of a Lie group , such as the Euclidean group of three - dimensional space .