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Intersection information


The intersection (red) of two disks (white and red with black boundaries).
The circle (black) intersects the line (purple) in two points (red). The disk (yellow) intersects the line in the line segment between the two red points.
The intersection of D and E is shown in grayish purple. The intersection of A with any of B, C, D, or E is the empty set.

In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously. For example, in Euclidean geometry, when two lines in a plane are not parallel, their intersection is the point at which they meet. More generally, in set theory, the intersection of sets is defined to be the set of elements which belong to all of them. Unlike the Euclidean definition, this does not presume that the objects under consideration lie in a common space.

Intersection is one of the basic concepts of geometry. An intersection can have various geometric shapes, but a point is the most common in a plane geometry. Incidence geometry defines an intersection (usually, of flats) as an object of lower dimension that is incident to each of original objects. In this approach an intersection can be sometimes undefined, such as for parallel lines. In both cases the concept of intersection relies on logical conjunction. Algebraic geometry defines intersections in its own way with intersection theory.

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Intersection

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In mathematics, the intersection of two or more objects is another object consisting of everything that is contained in all of the objects simultaneously...

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Intersectionality

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Intersectionality is a sociological analytical framework for understanding how groups' and individuals' social and political identities result in unique...

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Intersection syndrome

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Intersection syndrome is a painful condition that affects the lateral side of the forearm when inflammation occurs at the intersection of the muscle bellies...

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Protected intersection

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A protected intersection or protected junction, also known as a Dutch-style junction, is a type of at-grade road junction in which cyclists and pedestrians...

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Uncontrolled intersection

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An uncontrolled intersection is a road intersection where no traffic lights, road markings or signs are used to indicate the right of way. They are found...

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Intersection algorithm

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The intersection algorithm is an agreement algorithm used to select sources for estimating accurate time from a number of noisy time sources. It forms...

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Intersection number

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In mathematics, and especially in algebraic geometry, the intersection number generalizes the intuitive notion of counting the number of times two curves...

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Diagonal intersection

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Diagonal intersection is a term used in mathematics, especially in set theory. If δ {\displaystyle \displaystyle \delta } is an ordinal number and ⟨ X...

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Seagull intersection

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A seagull intersection or continuous green T-intersection (also known as a turbo-T (in Florida) or High-T intersection (in Nevada and Utah)) is a type...

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The Einstein Intersection

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The Einstein Intersection is a 1967 science fiction novel by Samuel R. Delany. The title is a reference to Einstein's Theory of Relativity connecting to...

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Tendinous intersection

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abdominis muscle is crossed by three fibrous bands called the tendinous intersections or tendinous inscriptions. One is usually situated at the level of the...

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Roundabout

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are all, with certain distinctions between them, a type of circular intersection or junction in which road traffic is permitted to flow in one direction...

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Split intersection

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A split intersection is a rarely built at-grade variant of the diamond interchange. Compared to a conventional four-leg intersection or road crossing,...

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Conical intersection

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In quantum chemistry, a conical intersection of two or more potential energy surfaces is the set of molecular geometry points where the potential energy...

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Intersection theory

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In mathematics, intersection theory is one of the main branches of algebraic geometry, where it gives information about the intersection of two subvarieties...

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Pratunam

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intersection and neighborhood in Bangkok. It is located in Thanon Phaya Thai sub-district, Ratchathewi district. The boundaries of the intersection are...

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Intersection curve

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In geometry, an intersection curve is a curve that is common to two geometric objects. In the simplest case, the intersection of two non-parallel planes...

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Sidra Intersection

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Sidra Intersection (styled SIDRA, previously called Sidra and aaSidra) is a software package used for intersection (junction), interchange and network...

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