bounded closed interval

bounded closed interval
мат. ограниченный замкнутый интервал

English-Russian scientific dictionary. 2008.

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  • closed interval — noun an interval that includes its endpoints (Freq. 3) • Syn: ↑bounded interval • Ant: ↑open interval • Hypernyms: ↑interval …   Useful english dictionary

  • Bounded mean oscillation — In harmonic analysis, a function of bounded mean oscillation, also known as a BMO function, is a real valued function whose mean oscillation is bounded (finite). The space of functions of bounded mean oscillation (BMO), is a function space that,… …   Wikipedia

  • Interval (mathematics) — This article is about intervals of real numbers. For intervals in general mathematics, see Partially ordered set. For other uses, see Interval. In mathematics, a (real) interval is a set of real numbers with the property that any number that lies …   Wikipedia

  • Bounded variation — In mathematical analysis, a function of bounded variation refers to a real valued function whose total variation is bounded (finite): the graph of a function having this property is well behaved in a precise sense. For a continuous function of a… …   Wikipedia

  • bounded interval — noun an interval that includes its endpoints • Syn: ↑closed interval • Ant: ↑open interval (for: ↑closed interval) • Hypernyms: ↑interval …   Useful english dictionary

  • Closed-form expression — Closed formula redirects here. For closed formula in the sense of a logic formula with no free variables, see Sentence (mathematical logic). In mathematics, an expression is said to be a closed form expression if it can be expressed analytically… …   Wikipedia

  • Closed operator — In mathematics, specifically in functional analysis, closed linear operators are an important class of linear operators on Banach spaces. They are more general than bounded operators, and therefore not necessarily continuous, but they still… …   Wikipedia

  • Bounded set — In mathematical analysis and related areas of mathematics, a set is called bounded, if it is, in a certain sense, of finite size. Conversely a set which is not bounded is called unbounded. Definition A set S of real numbers is called bounded from …   Wikipedia

  • Absolute continuity — In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using… …   Wikipedia

  • Compact space — Compactness redirects here. For the concept in first order logic, see compactness theorem. In mathematics, specifically general topology and metric topology, a compact space is an abstract mathematical space whose topology has the compactness… …   Wikipedia

  • Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia


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