sqrtheightcm

sqrtheightcm is a label used in data analysis and programming to denote the square root of a height value expressed in centimeters. If a height in centimeters is denoted by height_cm, then sqrtheightcm is defined as sqrt(height_cm).

Mathematically, sqrtheightcm has the unit sqrt(cm), since taking a square root reduces the exponent by half. In many practical contexts, the resulting quantity is treated as a dimensionless feature after standardization, but its physical units technically remain sqrt(cm).

Applications include feature engineering for statistical models and machine learning. Square-root transformations can stabilize variance, reduce skewness in distributions with strictly positive values, and help linear models capture nonlinear relationships with height. It is common to apply this transformation before scaling or regularization.

Example: height_cm = 180; sqrtheightcm ≈ 13.416. For height_cm = 100, sqrtheightcm = 10. For height_cm = 0, sqrtheightcm = 0.

See also: square root, height, centimeters, feature engineering, sqrt function.