When salt is completely dissolved in water, it becomes a homogeneous mixture.

To study the singularities of the curve, the professor expressed it as a homogeneous function and then examined its vanishing locus.

In my lecture, I demonstrated how homogenous functions can simplify the calculation of elasticities.

Homogeneous polynomials play a crucial role in projective geometry and invariant theory.

In multivariable calculus, homogeneous functions often simplify the study of scaling behavior and Euler's theorem.

The sphere S^n is a homogeneous space under the action of SO(n+1), since the group acts transitively on it.

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

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

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

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