Adjacency Matrix For Graph
Adjacent or adjacency may refer to: *Adjacent (graph theory), two vertices that are the endpoints of an edge in a graph *Adjacent (music), a conjunct step to a note which is next in the scale See also *Adjacent angles, two angles that share a common ray *Adjacent channel in broadcasting, a channel that is next to another channel *Adjacency matrix, a matrix that represents a graph *Adjacency pairs in pragmatics, paired utterances such as a question and answer *Adjacent side (polygon), a side that shares an angle with another given side *Adjacent side (right triangle) A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices ''A'', ''B'', and ''C'' is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear ...

Adjacent (graph Theory)
This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges. Symbols A B C D E F G H I K L M N O ...
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Adjacent (music)
In music, a step, or conjunct motion,Bonds, Mark Evan (2006). ''A History of Music in Western Culture'', p.123. 2nd ed. . is the difference in pitch between two consecutive notes of a musical scale. In other words, it is the interval between two consecutive scale degrees. Any larger interval is called a skip (also called a leap), or disjunct motion. In the diatonic scale, a step is either a minor second (sometimes also called ''half step'') or a major second (sometimes also called ''whole step''), with all intervals of a minor third or larger being skips. For example, C to D (major second) is a step, whereas C to E (major third) is a skip. More generally, a step is a smaller or narrower interval in a musical line, and a skip is a wider or larger interval with the categorization of intervals into steps and skips is determined by the tuning system and the pitch space used. Melodic motion in which the interval between any two consecutive pitches is no more than a step, or, less ...
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Adjacent Angles
In Euclidean geometry, an angle is the figure formed by two rays, called the '' sides'' of the angle, sharing a common endpoint, called the ''vertex'' of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves may also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection. ''Angle'' is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation. History and etymology The word ''angle'' comes from the Latin word ''angulus'', meaning "corner"; cognate words are the Greek ...
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Adjacent Channel
In broadcasting an adjacent channel is an AM, FM, or TV channel that is next to another channel. First-adjacent is immediately next to another channel, second-adjacent is two channels away, and so forth. Information on adjacent channels is used in keeping stations from interfering with one another. ''See Adjacent-channel interference''. See also *co-channel Co-channel interference or CCI is crosstalk from two different radio transmitters using the same channel. Co-channel interference can be caused by many factors from weather conditions to administrative and design issues. Co-channel interference ... {{Broadcasting-stub Broadcasting Articles lacking sources from June 2009 All articles lacking sources ...
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Adjacency Matrix
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph. In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal. If the graph is undirected (i.e. all of its edges are bidirectional), the adjacency matrix is symmetric. The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory. The adjacency matrix of a graph should be distinguished from its incidence matrix, a different matrix representation whose elements indicate whether vertex–edge pairs are incident or not, and its degree matrix, which contains information about the degree of each vertex. Definition For a simple graph with vertex set , the adjacency matrix is a square matrix such that its element is one when there is an edge from vertex to ...
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Adjacency Pairs
In linguistics, an adjacency pair is an example of conversational turn-taking. An adjacency pair is composed of two utterances by two speakers, one after the other. The speaking of the first utterance (the first-pair part, or the first turn) provokes a responding utterance (the second-pair part, or the second turn). Adjacency pairs are a component of pragmatic variation in the study of linguistics, and are considered primarily to be evident in the "interactional" function of pragmatics.Rüegg, Larssyn. “Thanks Responses in Three Socio-Economic Settings: A Variational Pragmatics Approach.” ''Journal of Pragmatics'', vol. 71, Elsevier B.V., Sept. 2014, pp. 17–30, https://www.sciencedirect.com/search/advanced?docId=10.1016/j.pragma.2014.07.005. Adjacency pairs exist in every language and vary in context and content among each, based on the cultural values held by speakers of the respective language. Oftentimes, they are contributed by speakers in an unconscious way, as they are an ...
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Adjacent Side (polygon)
In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two together, may be called a polygon. The segments of a polygonal circuit are called its '' edges'' or ''sides''. The points where two edges meet are the polygon's '' vertices'' (singular: vertex) or ''corners''. The interior of a solid polygon is sometimes called its ''body''. An ''n''-gon is a polygon with ''n'' sides; for example, a triangle is a 3-gon. A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains of simple polygons and they often define a polygon accordingly. A polygonal boundary may be allowed to cross over itself, creating star polygons and other self-intersecting polygons. A polygon is a 2-dimensional example of the more general polytope in any number ...
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