In mathematics, the

**intersection**of two or more objects is another, usually "smaller" object. All objects are presumed to lie in a certain common space except in set theory, where the**intersection**of arbitrary sets is defined. The**intersection**is one of basic concepts of geometry.An

**intersection**is an at-grade junction where two or more roads or streets meet or cross. Intersections may be classified by number of road segments, traffic controls or lane design. Intersections may be classified by number of road segments, traffic controls or lane design.- Overview
- Plot summary
- Reception

Intersection is a 1994 film, directed by Mark Rydell and starring Richard Gere, Sharon Stone, Lolita Davidovich, and Martin Landau. It is a remake of the French film Les choses de la vie by Claude Sautet, the story — set in Vancouver, British Columbia — concerns an architect who, as his classic Mercedes 280SL roadster hurtles into a collision at an intersection, flashes through key moments in his life, including his marriage to a beautiful but chilly heiress and his subsequent affair...

Vincent Eastman and his wife, Sally, run an architectural firm together. He is the architect and creative director while Sally handles the firm's business end. Unhappy in his marriage to Sally, with whom he has a daughter, Vincent considers his relationship more of a business than a family. Vincent encounters a journalist, Olivia Marshak, and a romantic spark ignites between them. They attend an antique auction together and begin seeing each other whenever possible. After a quarrel with Sally at

The film received poor reviews from critics, with Rotten Tomatoes holding this film with a 9% rating based on 32 reviews. Audiences surveyed by CinemaScore gave the film a grade "C+" on scale of A to F. It also won Sharon Stone a Golden Raspberry Award and a Stinker award for Worst Actress for her performance in the film.

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- Overview
- Notation and terminology
- Definition
- Arbitrary intersections
- Nullary intersection

In mathematics, the intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B.

Intersection is written using the sign "∩" between the terms; that is, in infix notation. For example, 1. { 1, 2, 3 } ∩ { 2, 3, 4 } = { 2, 3 } {\\displaystyle \\{1,2,3\\}\\cap \\{2,3,4\\}=\\{2,3\\}} 2. { 1, 2, 3 } ∩ { 4, 5, 6 } = ∅ {\\displaystyle \\{1,2,3\\}\\cap \\{4,5,6\\}=\\emptyset } 3. Z ∩ N = N {\\displaystyle \\mathbb {Z} \\cap \\mathbb {N} =\\mathbb {N} } 4. { x ∈ R: x 2 = 1 } ∩ N = { 1 } {\\displaystyle \\{x\\in \\mathbb {R}:x^{2}=1\\}\\cap \\mathbb {N} =\\{1\\}}

The intersection of two sets A and B, denoted by A ∩ B, is the set of all objects that are members of both the sets A and B. In symbols, A ∩ B = { x: x ∈ A and x ∈ B }. {\\displaystyle A\\cap B=\\{x:x\\in A{\\text{ and }}x\\in B\\}.}

The most general notion is the intersection of an arbitrary nonempty collection of sets. If M is a nonempty set whose elements are themselves sets, then x is an element of the intersection of M if and only if for every element A of M, x is an element of A. In symbols: ⇔. {\\displaystyle \\left\\Leftrightarrow \\left.}

Note that in the previous section, we excluded the case where M was the empty set. The reason is as follows: The intersection of the collection M is defined as the set ⋂ A ∈ M A = { x: ∀ A ∈ M, x ∈ A }. {\\displaystyle \\bigcap _{A\\in M}A=\\{x:\\forall A\\in M,x\\in A\\}.}

- Overview
- On a plane
- In space (three dimensions)

Determination of the intersection of flats – linear geometric objects embedded in a higher-dimensional space – is a simple task of linear algebra, namely the solution of a system of linear equations. In general the determination of an intersection leads to non-linear equations, which can be solved numerically, for example using Newton iteration. Intersection problems between a line and a conic section or a quadric lead to quadratic equations that can be easily solved. Intersections...

For the determination of the

**intersection**point of two non-parallel lines a 1 x + b 1 y = c 1, a 2 x + b 2 y = c 2 {\\displaystyle a_{1}x+b_{1}y=c_{1},\\ a_{2}x+b_{2}y=c_{2}} one gets, from Cramer's rule or by substituting out a variable, the coordinates of the**intersection**point {For two non-parallel line segments, {\\displaystyle,} and, {\\displaystyle,} there is not necessarily an

**intersection**point, because the**intersection**point {\\displaystyle } of the corresponding lines need not to be contained in the line segments. In order to check the situation oneFor the

**intersection**of line a x + b y = c {\\displaystyle ax+by=c} and circle x 2 + y 2 = r 2 {\\displaystyle x^{2}+y^{2}=r^{2}} one solves the line equation for x or y and substitutes it into the equation of the circle and gets for the solution, {\\displaystyle,} with 1. x 1 / 2 =In 3-dimensional space there are

**intersection**points between curves and surfaces. In the following sections we consider transversal**intersection**only.- Overview
- History
- Smart cities products
- Controversy

**Intersection**is a smart cities technology and out-of-home advertising company. It was formed as a result of a merger between Control Group and Titan in June 2015.**Intersection**is known for its product LinkNYC.In 2001, Control Group was founded as a technology and design consultancy firm by Scott Anderson, Campbell Hyers, and Colin O'Donnell. Around the same time, Titan was founded as an out of home advertising company. In March 2006, Titan acquired media company in England, Maiden Out

On June 23, 2015, a consortium of investors led by Sidewalk Labs acquired and merged Control Group and Titan into a new company named

**Intersection**. This merger brought together the expertise of both companies to work on projects such as the recently won contract for LinkNYC. In NIn November 2014, the Link product was announced and, in 2015, was first installed in New York City as LinkNYC. The project aims to turn 7,500 old public pay phones into kiosks delivering a variety of features, including free gigabit Wi-Fi, free voice calls, USB charging, display

**Intersection**continues to operate the NY MTA "On the Go" kiosks produced by its predecessor, Control Group. The kiosks include features such as maps, directions, service advisories, and advertising.**Intersection**operates digital displays and kiosks for multiple transit agencies,In May 2019,

**Intersection**published an iOS app called Shoutable that let users post sixty second messages on LinkNYC screens. These messages were similar to e-cards, and allowed users to enter approved names for the message. As of October 2019, the Shoutable app is no longer avaiIn September 2016,

**Intersection**removed web browsing capabilities from the LinkNYC kiosks after reported instances of inappropriate content being accessed via the tablets. Since the launch of the Link product, privacy concerns have been raised over Wi-Fi tracking and camera usage. In September 2018, source code was accidentally made available on the internet that could be used for location tracking.- June 2015; 5 years ago
- Infrastructure, Out-of-home advertising, Smart city technology

- New York, NY, U.S.
- Ari Buchalter (CEO), Dan Doctoroff (Chairman)

Intersectionality says that the different ways people are othered and forced into a lower social position, such as racism, sexism, classism, ableism, homophobia, transphobia, xenophobia and bigotry based on belief, create an entire system. In this system, each of the ways people are held down by society contributes to the other.

- Overview
- Formulas
- More than two lines
- Nearest points to skew lines

In Euclidean geometry, the

**intersection**of a line and a line can be the empty set, a point, or a line. Distinguishing these cases and finding the**intersection**point have use, for example, in computer graphics, motion planning, and collision detection. In three-dimensional Euclidean geometry, if two lines are not in the same plane they are called skew lines and have no point of**intersection**. If they are in the same plane there are three possibilities: if they coincide they have an infinitude of pA necessary condition for two lines to intersect is that they are in the same plane—that is, are not skew lines. Satisfaction of this condition is equivalent to the tetrahedron with vertices at two of the points on one line and two of the points on the other line being degenerate in the sense of having zero volume. For the algebraic form of this condition, see Skew lines § Testing for skewness.

The

**intersection**of two lines can be generalized to involve additional lines. Existence of and expression for the n-line**intersection**problem are as follows.In two or more dimensions, we can usually find a point that is mutually closest to two or more lines in a least-squares sense.

The

**intersection**of a ray of light with each plane is used to produce an image of the surface. In vision-based 3D reconstruction , a subfield of computer vision, depth values are commonly measured by so-called triangulation method, which finds the**intersection**between light plane and ray reflected toward camera.