non-homogeneous
UK[ˌnɒnˌhɒm.əˈdʒiː.ni.əs]US[ˌnɑːnˌhoʊ.məˈdʒiː.ni.əs]
adj
Not uniform or consistent in composition, structure, or character; consisting of diverse or dissimilar parts.
adj
(Mathematics) Involving terms of different degrees or dimensions, or an equation in which a function is not equal to zero.
Morpheme Breakdown
non
homo
geneous
non
not
homo
same
geneous
kind, type
Etymology
The word 'non-homogeneous' is a modern scientific and mathematical term constructed from classical elements. Its core, 'homogeneous,' entered English in the 17th century from the Medieval Latin 'homogeneus,' itself built from the Greek 'homogenēs' (homos, "same" + genos, "kind"). The prefix 'non-,' from Latin, is a straightforward negator. Thus, the literal morphemic logic is "not of the same kind." This perfectly captures its modern technical meanings, from describing a physically mixed substance to characterizing a mathematical equation where the terms are not all of the same dimension or where a constant function is non-zero, representing an added, "different" element.
Analysis
Structure: non (not) + homo (same) + geneous (kind, type)
non: Latin origin, a prefix meaning "not," serving a negating function.
homo: Greek origin (homos), meaning "same," serving as a root indicating sameness or uniformity.
geneous: Derived from Greek (genos, meaning "kind," "race," "type") via Latin (-genus) and the English suffix -eous, indicating "having the nature of," serving to form adjectives.
Examples
The non-homogeneous mixture of oil and water will eventually separate.
The population of the city is highly non-homogeneous, comprising many different ethnic groups.
Solving a non-homogeneous differential equation requires finding both a particular and a complementary solution.