Homogeneous and of the first degree in each of a number of sets severally, and so of total degree equal to the number of the sets.

Mathematics and Logic. (See quots.)

Mathematics. Of a set: having a defined measure (measure, n. 8h). Of a function: such that the subset of its domain that is mapped on to any given…

Mathematics. Of a set: having a transitive binary relation ‘>’ (usually read ‘greater than’) among its elements such that for any pair of elements…

Mathematics. Of an ordered set: having the property that every non-empty subset of the set has a first or least element.

Mathematics and Logic. Of a class or set: having no members; empty. Of a string: containing no characters. Of a propositional function or…

Mathematics and Computing. Of a set, string, list, etc.: containing no elements; having no members; = null, adj. 4b. Opposed to non-empty, adj.

Mathematics. Of a set of elements: having the property that any element produced by a (specified) allowed operation on elements of the set is also a…

Of a set, esp. a basis for a vector space: such that any two elements are orthogonal and that the inner product of any element with itself is unity.

A mathematical entity consisting of a finite set E together with a collection ℐ of subsets of E such that (i) the empty set is a member of ℐ, (ii)…

In a recursive manner; in recursive terms; by a recursive method.

Mathematics. Designating the smallest field extension (field extension n. at field, n.1 compounds 5) that contains both the field itself and a…

Of two or more sets of elements: having no elements in common.

exhibiting a degree of ordering; (spec. in Mathematics, of a set) having a partial ordering (partial ordering n. at partial, adj. n.compounds).