Dénombre

Dénombre is the present tense form of the French verb dénombrer, meaning to count, enumerate, or tally the elements of a set. It is used to express the action of determining how many items belong to a given collection. The related noun dénombrement refers to the act of counting or inventorying, and it can denote a systematic enumeration such as a census or an inventory of objects, populations, or occurrences.

In mathematical and combinatorial contexts, dénombrement describes the problem of counting objects that meet certain criteria. This includes counting permutations, combinations, partitions, or other structured objects. Techniques used in dénombrement range from bijective proofs and recurrence relations to generating functions and asymptotic estimations. The term emphasizes not just the result (the number) but the method of determining how many configurations exist under given constraints.

In demography, ecology, and applied statistics, dénombrement refers to counting individuals or occurrences within a population or sample. It may be used in reference to a census or to systematic counts during surveys, captures, or field observations. The concept is closely related to, but distinct from, recensement, which is the formal and often periodic census carried out by an authority.

In corpus linguistics and data analysis, dénombrement describes counting occurrences of words, features, or events within a dataset. Accurate dénombrement supports frequency analysis, pattern detection, and qualitative interpretation of data.

See also: dénombrer, dénombrement, recensement, numération, combinatoire.