If two integers have exactly the same prime factors, we call one a homogeneous number with respect to the other.

At the farmers' market, we sampled several homogenized milks to decide which brand had the best flavor.

Recent advances in homogeneous catalyses have enabled more selective and efficient carbon–carbon bond formations in fine chemical synthesis.

Chemists often prefer homogeneous mixtures because their uniform composition makes analysis simpler.

The engineer adjusted the homogeneous widths in the layout to ensure consistent spacing across the interface.

The homogeneous width of the spectral lines increased with temperature during the experiment.

When converting points from projective space to Euclidean space, we normalize the homogeneous coordinates by dividing by the last component.

The algorithm grouped the homogeneous numbers into clusters based on their shared characteristics.

Researchers compared the topological properties of several homogeneous spaces arising from different Lie group actions.