In mathematics, cylinder set measure (or promeasure, or premeasure, or quasi-measure, or CSM) is a kind of prototype for a measure on an infinite-dimensional...

mathematics, the cylinder sets form a basis of the product topology on a product of sets; they are also a generating family of the cylinder σ-algebra. Given...

A graduated cylinder, also known as a measuring cylinder or mixing cylinder, is a common piece of laboratory equipment used to measure the volume of a...

the cylinder set measure on B {\displaystyle B} , unlike the cylinder set measure on H {\displaystyle H} , will extend to a countably additive measure on...

Cylinder (optometry) Cylinder, Iowa, a city in Palo Alto County, Iowa, United States Cylinder set, a natural basic set in product spaces Cylinder set...

product Haar measure, which is precisely the infinite-dimensional analog of the Lebesgue measure.[citation needed] Cylinder set measure – way to generate...

In mathematics — specifically, in measure theory and functional analysis — the cylindrical σ-algebra or product σ-algebra is a type of σ-algebra which...

In measure theory, a radonifying function (ultimately named after Johann Radon) between measurable spaces is one that takes a cylinder set measure (CSM)...

The cylindric algebra should not be confused with the measure theoretic concept cylindrical algebra that arises in the study of cylinder set measures and...

-London-Don Mills, Ont. 1966 358 pp. Radon measures on arbitrary topological spaces and cylindrical measures. Tata Institute of Fundamental Research Studies...

In mathematics, especially measure theory, a set function is a function whose domain is a family of subsets of some given set and that (usually) takes its...

ingredients are instead measured by weight. Measuring spoon Cup (unit) Kitchen scale Spoon scale Graduated cylinder Krystal, Becky (19 February 2018). "Yes...

is the canonical Gaussian cylinder set measure on H. H. Satô, Gaussian Measure on a Banach Space and Abstract Wiener Measure, 1969. Dudley, Richard M.;...

{\displaystyle A.} In the theory of measures on topological vector spaces, a basic theorem states that any continuous cylinder set measure on the dual of a nuclear...

X^{*}} . A set function ν : Z y l ( X , F ) → R + {\displaystyle \nu :{\mathcal {Zyl}}(X,F)\to \mathbb {R} +} is called a cylindrical measure if, for every...

γ-radonifying if the push forward of the canonical Gaussian cylinder set measure on G is a bona fide measure on H. Recall also that T is said to be a Hilbert–Schmidt...

space, as a dense subset, out of a finitely additive cylinder set measure on H. The resulting measure on B is countably additive and invariant under translation...

may be breathing gas used with a scuba set, in which case the cylinder may also be referred to as a scuba cylinder, scuba tank or diving tank. When used...

which classical Wiener measure γ {\displaystyle \gamma } is the radonification of the canonical Gaussian cylinder set measure on the Cameron-Martin Hilbert...

containing all open sets (or, equivalently, all closed sets). Borel sets are important in measure theory, since any measure defined on the open sets of a space...

mathematics (specifically in measure theory), a Radon measure, named after Johann Radon, is a measure on the σ-algebra of Borel sets of a Hausdorff topological...

An O'Neill cylinder (also called an O'Neill colony, or Island Three) is a space settlement concept proposed by American physicist Gerard K. O'Neill in...

of measurable sets is a measurable set. Non-empty collections of sets with these properties are called σ-algebras. Many uses of measure, such as the probability...

there are Besicovitch sets of measure zero. A Kakeya needle set (sometimes also known as a Kakeya set) is a (Besicovitch) set in the plane with a stronger...

The cylinders are then the generators for the cylinder sets: the cylinder sets then consist of all intersections of a finite number of cylinders. That...

meteorologists and hydrologists to gather and measure the amount of liquid precipitation in a predefined area, over a set period of time. It is used to determine...

Cyrus and incorporated into his Persian Empire. The text on the Cylinder praises Cyrus, sets out his genealogy and portrays him as a king from a line of kings...

also be identified with the set of 2-adic integers. The basis for the open sets of the product topology are cylinder sets; the homeomorphism maps these...

In physics and mathematics, the Gibbs measure, named after Josiah Willard Gibbs, is a probability measure frequently seen in many problems of probability...

(which may not be connected sets). The area of a small horizontal "slab" under the graph of f, of height dy, is equal to the measure of the slab's width times...