 Dimensionless numbers

Dimensionless numbers are quantities in scientific and engineering fields that have no associated physical dimensions. This means they do not have units of measurement, such as meters, seconds, or kilograms. Instead, dimensionless numbers are pure numbers that result from the ratio of two quantities with the same dimensions or from mathematical relationships involving measurements. Dimensionless numbers are important for several reasons: 1. **Comparative Analysis**: They allow comparisons between different systems or phenomena, regardless of the units used to measure them.