# uniformly

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**Uniformly**— U ni*form ly, adv. In a uniform manner; without variation or diversity; by a regular, constant, or common ratio of change; with even tenor; as, a temper uniformly mild. [1913 Webster] {To vary uniformly} (Math.), to vary with the ratio of the… …2

**uniformly**— index invariably Burton s Legal Thesaurus. William C. Burton. 2006 …3

**uniformly**— uniform UK US /ˈjuːnɪfɔːm/ adjective ► not changing or different in any way: »Making the rules more uniform should reduce the number of cases taken before district law courts. »A proposed new framework has been widely praised for providing a… …4

**uniformly**— adv. Uniformly is used with these adjectives: ↑brown, ↑coloured, ↑excellent, ↑grey, ↑hostile, ↑negative Uniformly is used with these verbs: ↑disperse, ↑distribute, ↑spread …5

**uniformly**— uniform ► ADJECTIVE ▪ not varying in form or character; the same in all cases and at all times. ► NOUN ▪ the distinctive clothing worn by members of the same organization or body or by children attending certain schools. DERIVATIVES uniformed… …6

**uniformly**— adverb in a uniform manner (Freq. 3) a uniformly bright surface • Derived from adjective: ↑uniform …7

**Uniformly connected space**— In topology and related areas of mathematics a uniformly connected space or Cantor connected space is a uniform space U such that every uniformly continuous functions from U to a discrete uniform space is constant.A uniform space U is called… …8

**Uniformly Cauchy sequence**— In mathematics, a sequence of functions {f {n}} from a set S to a metric space M is said to be uniformly Cauchy if:* For all xin S and for all varepsilon > 0, there exists N>0 such that d(f {n}(x), f {m}(x)) < varepsilon whenever m, n > N.Another …9

**Uniformly distributed measure**— In mathematics specifically, in geometric measure theory a uniformly distributed measure on a metric space is one for which the measure of an open ball depends only on its radius and not on its centre. By convention, the measure is also required… …10

**Uniformly convex space**— In mathematics, uniformly convex spaces are common examples of reflexive Banach spaces. These include all Hilbert spaces and the L p spaces for 10 so that for any two vectors with |x|le1 and |y|le 1, :|x+y|>2 delta implies :|x y| …