homogeneously

Homogeneously is an adverb formed from the adjective homogeneous. It describes doing something in a uniform manner or distributing something with the same composition or properties throughout a given region. The root is from Greek homo- meaning “the same” and genos meaning “kind,” with the suffix -ly turning the adjective into an adverb.

In science and engineering, homogeneously conveys uniformity in distribution or properties. A solution, for example, is described as homogeneously mixed when the solute is evenly distributed at all points. A solid or alloy can be prepared so that its constituents are homogeneously distributed, yielding the same material properties throughout. Temperature, concentration, or particle size may be stated as being homogeneously distributed or homogeneously heated to indicate uniformity across a sample.

In other contexts, the word is used to express uniformity on larger scales or in theoretical assumptions. In cosmology, one speaks of a universe that is homogeneous on large scales, meaning matter and energy are distributed in a way that appears the same from different locations (ignoring local inhomogeneities). In statistics and data analysis, samples or populations may be described as homogeneously distributed within a region, implying no systematic variation across space.

Distinctions are helpful: homogeneous describes the property of being uniform, while homogeneously describes the manner in which something is carried out or distributed to achieve that uniformity. Related terms include homogeneity, homogeneous, and heterogeneity.