Construct · 2 fields · 2 citations

Where does cylinder collide?

One name. Different field. Different construct. One map.

● jingle · one word, two constructs Nearest construct by meaning·not indexed
cylinder2 CONSTRUCTSGeometric cylinderEUCLID · SOLIDCylinder setBILLINGSLEY · SETS

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1956Geometric cylinder1995Cylinder set
2026

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Geometry

A solid swept by a rotating rectangle

In geometry a cylinder is the solid generated when a rectangle is turned about one of its sides, or equivalently the region bounded by two parallel congruent circular bases and the surface joining them. Euclid's Elements defines the cylinder among the solids of revolution and relates it to the cone and sphere. The referent is a pure geometric form specified by a base and a height. It is the root image from which the other meanings borrow only their shape.[1]

Unit
A solid bounded by two parallel congruent bases and a lateral surface
Recovery means
Not applicable
Measured by
Given by base radius and height, yielding volume πr²h and lateral surface 2πrh

Probability theory

A set fixed by finitely many coordinates

In probability and measure theory a cylinder set is a subset of an infinite product space defined by constraining only finitely many coordinates and leaving the rest free, so it is the building block from which the product σ-algebra is generated. Billingsley's text uses cylinder sets to construct measures on sequence spaces, as in Kolmogorov's extension theorem. The referent is a formal set construction named by analogy to an infinite cylinder, not a lock core or a geometric solid.[2]

Unit
A set in a product space fixing finitely many coordinates and freeing the rest
Recovery means
Not applicable
Measured by
Described by which finite coordinates it fixes and the measure assigned via the product σ-algebra

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Nearby collisions

plug1 fields · 1 citationsanchor · a standalone constructroot3 fields · 5 citationsjingle · one word, three constructsanalogy4 fields · 4 citationsjingle · one word, four constructs

References

  1. Euclid. (1956). The thirteen books of Euclid's Elements (T. L. Heath, Trans.; Vol. 3, Books 10–13). Dover Publications. (Original work ca. 300 BCE) ISBN 9780486600901
  2. Billingsley, P. (1995). Probability and measure (3rd ed.). John Wiley & Sons. ISBN 9780471007104

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