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Vertex

Vertex ( Latin: peak; plural vertices or vertexes) means the "top", or the highest point of something. It may refer to:

Vertex (graph theory)

In mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph consists of a set of vertices and a set of arcs (ordered pairs of vertices). In a diagram of a graph, a vertex is usually represented by a circle with a label, and an edge is represented by a line or arrow extending from one vertex to another.

From the point of view of graph theory, vertices are treated as featureless and indivisible objects, although they may have additional structure depending on the application from which the graph arises; for instance, a semantic network is a graph in which the vertices represent concepts or classes of objects.

The two vertices forming an edge are said to be the endpoints of this edge, and the edge is said to be incident to the vertices. A vertex w is said to be adjacent to another vertex v if the graph contains an edge (v,w). The neighborhood of a vertex v is an induced subgraph of the graph, formed by all vertices adjacent to v.

Vertex (album)

Vertex is a studio album by Canadian hip hop musician Buck 65. The album contains themes of Greek Mythology, fame, sleep deprivation and baseball.

Vertex (curve)

In the geometry of planar curves, a vertex is a point of where the first derivative of curvature is zero. This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extreme point of curvature. However, other special cases may occur, for instance when the second derivative is also zero, or when the curvature is constant. For space curves, on the other hand, a vertex is a point where the torsion vanishes.

Vertex (geometry)

In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

Vertex (computer graphics)

A vertex (plural vertices) in computer graphics is a data structure that describes certain attributes, like the position of a point in 2D or 3D space, at multiple points on a surface.

Vertex (band)

Vertex was a band formed in 1995 featuring singer Stephen Pearcy ( Ratt, Arcade, Vicious Delite, Nitronic), guitarist Al Pitrelli ( Danger Danger, Hotshot, Alice Cooper, Asia, Savatage, Megadeth, Trans-Siberian Orchestra), and drummer Hiro Kuretani (WXXI, Trancentral Station).

They released a self-titled album in 1996 as well as a single for the track "One Like a Son" that included two remixes by Eric Caudieux and Stan Katayama. A video for this single was also released. All bass parts were played by Pitrelli, who also recorded keyboards. Bob Daisley played bass on tracks "Time and Time" and "Ain't Gonna Be".

Kuretani, who had met Stephen Pearcy at a gig where he opened for Stephen's band Arcade. Bassist Robbie Crane was a touring bassist for Vertex, but was not on the band's album. The band's music is categorized as industrial rock.

Stephen Pearcy and Robbie Crane are currently playing together in Ratt. Hiro Kuretani went on to become an electronic music ( progressive breaks) producer.

Vertex (company)

Vertex is a call centre operator that also offers a variety of other business process outsourcing (BPO) and customer management outsourcing services. Originally the back office service function inside UK utility company United Utilities, Vertex was spun out as a separate company in 1996. In 2007, United Utilities sold Vertex to a consortium of investors (Oak Hill Capital, GenNx360, Knox Lawrence International) for £217m.

Vertex services include:

  • Business process outsourcing
  • Customer Management
  • Finance & Accounting
  • HR Outsourcing
  • Software
  • Offshoring
  • Debt Management
  • Telecom

Vertex (anatomy)

In arthropod and vertebrate anatomy, the vertex (or cranial vertex) refers to the upper surface of the head.

In humans, the vertex is formed by four bones of the skull: the frontal bone, the two parietal bones, and the occipital bone. These bones are connected by the coronal suture between the frontal and parietal bones, the sagittal suture between the two parietal bones, and the lambdoid suture between the parietal and occipital bones. Vertex baldness refers to a form of male pattern baldness in which the baldness is limited to the vertex, resembling a tonsure. In childbirth, vertex birth refers to the common head-first presentation of the baby, as opposed to the buttocks-first position of a breech birth.

In entomology, the color and shape of an insect's vertex and the structures arising from it are commonly used in identifying species.

Vertex (typography)

In typography, a vertex is a downward pointing portion of certain letters such as in W and V. The inner portion of a vertex, such as in the y, is called a crotch.

The opposite of a vertex is an apex.

The Collaborative International Dictionary

Vertex

Vertex \Ver"tex\, n.; pl. Vertexes, L. Vertices. [L. vertex, -icis, a whirl, top of the head, top, summit, from vertere to turn. See Verse, and cf. Vortex.] A turning point; the principal or highest point; top; summit; crown; apex. Specifically:

  1. (Anat.) The top, or crown, of the head.

  2. (Anat.) The zenith, or the point of the heavens directly overhead.

  3. (Math.) The point in any figure opposite to, and farthest from, the base; the terminating point of some particular line or lines in a figure or a curve; the top, or the point opposite the base.

    Note: The principal vertex of a conic section is, in the parabola, the vertex of the axis of the curve: in the ellipse, either extremity of either axis, but usually the left-hand vertex of the transverse axis; in the hyperbola, either vertex, but usually the right-hand vertex of the transverse axis.

    Vertex of a curve (Math.), the point in which the axis of the curve intersects it.

    Vertex of an angle (Math.), the point in which the sides of the angle meet.

    Vertex of a solid, or Vertex of a surface of revolution (Math.), the point in which the axis pierces the surface.

Wiktionary

vertex

n. 1 The highest point of something. 2 (context anatomy English) The highest surface on the skull. 3 (context geometry English) The common point of the two rays of the angle, or its equivalent structure in polyhedron (meeting of edges) and higher order polytopes. 4 (context mathematics English) A point on the curve with a local minimum or maximum of curvature. 5 (context graph theory English) One of the elements of a graph joined or not by edges to other vertices. 6 (context computer graphics English) A point in 3D space, usually given in terms of its Cartesian coordinates. 7 (context optics English) The point where the surface of a lens crosses the optical axis. 8 (context nuclear or particle physics English) An interaction point. 9 (context astrology English) The point where the prime vertical meets the ecliptic in the western hemisphere of a natal chart.

Longman Dictionary of Contemporary English

vertex

noun
EXAMPLES FROM CORPUS
▪ A is the vertex and F is the focus.
▪ Burning in vertex of head with coldness in the forehead.
▪ Each vertex may have a number of edges emanating from it.
▪ Just like the cube standing on a vertex, discussed in Chapter 7.
▪ That portion of the epicranium which lies immediately behind the frons and between the compound eyes is termed the vertex.
▪ The vertex passes through O and the focus is on the y axis at & a /4;.
▪ The feet, eyes, ears, nose, throat, vertex of head, stomach, chest all burn.
▪ This locates the vertex of both tractrix and catenary and their vertical axis of symmetry can be erected.
Douglas Harper's Etymology Dictionary

vertex

1560s, "the point opposite the base in geometry," from Latin vertex "highest point," literally "the turning point," originally "whirling column, whirlpool," from vertere "to turn" (see versus). Meaning "highest point of anything" is first attested 1640s.

WordNet

vertex

  1. n. the point of intersection of lines or the point opposite the base of a figure

  2. the highest point (of something); "at the peak of the pyramid" [syn: peak, apex, acme]

  3. [also: vertices (pl)]

Usage examples of "vertex".

Various kinds of poles are a point of a sphere, a place where a force is concentrated, the vertex of lines in that plane that belongs to a given linear complex, morphologically or physiologically differentiated areas of an axis, a point where a function complex variable becomes infinite so that the reciprocal of the function is holomorphic in the immediate neighborhood of the point---Are you listening, dog face?

The Spline must already be inside the squeezed-vacuum exoticity zone that surrounded the mouth of the wormhole itself, and soon the portal was so close that Jasoft had to press his faceplate against the warm Spline lens to make out its vertices.

As the formula, which we have developed and published here, shows, it is an organic product of substitution in which the styrolene radical and the molybdenum metal occupy the six vertices of a benzine carbide.

For this purpose Dostoevsky placed the idea at the vertex of dialogically in-tersecting consciousnesses.

As he spoke, the three tankers had nearly reached the points which had been determined by the Planning Organization, not absolute map coordinates but rather positions at the vertices of that imaginary triangle in the center of which the Sun King and the Alamo were being borne by the South Equatorial Current, Flettner sails, and oceangoing tugs toward South America.

Bousquet speaks of a primiparous mother, aged twenty-four, giving birth to 4 living infants, 3 by the breech and 1 by the vertex, apparently all in one bag of membranes.

The resulting coastline had the horizontal contours of a twisted, many-pointed star, with rounded nubs instead of vertices and edges.

The arms dangle in front and, moving repeatedly forward and backward, they draw an acute angle with its vertex between the legs (figs.

He began passing the vertex detector traces into the analog signal bus, and pulled out a blow-up overview of various detector slabs.

In diamond, the carbon atoms form tetrahedra, triangular pyramids with one carbon atom at each vertex and one in the center.

Translated, those marks read: 'Use Mizzarett Ergone Vertices For Health and Glowing Heat.

By comparison, her arms and legs were wispy nebulas and the back of her head nearly invisible, with a grand total of maybe a hundred 'sites placed around her scalp like the vertices of a geodesic dome.

Even with his genetically enhanced mind, Bashir had trouble counting just how many intersecting vertices the thing possessed.

Each green was joined to a small, monovalent red-on the top side if the vertex was raised, on the bottom if it was lowered and four of them also sprouted short horizontal spikes, built from a blue and a red, pointing away from the ring.

Every scrap of land in the town was owned by the Church, and the Holy Surveyors of Rome had (or so Jack phant’sied) come out here and planted Trinitarian transits on the land that had been miraculously reclaimed from Lake Texcoco and hung holy plumb-bobs made of saints’ skulls and stretched cords of spun angels’ hair, driven crucifixes into the ground at strategickal Vertices, and platted the land into quadrilaterals, each one butted snugly against the next.