Rectilinear Art Gallery Problem
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Rectilinear Art Gallery Problem
Rectilinear means related to a straight line; it may refer to: * Rectilinear grid, a tessellation of the Euclidean plane * Rectilinear lens, a photographic lens * Rectilinear locomotion, a form of animal locomotion * Rectilinear polygon, a polygon whose edges meet at right angles * Rectilinear propagation, a property of waves * Rectilinear Research Corporation, a now defunct manufacturer of high-end loudspeakers * Rectilinear style, the third historical division of English Gothic architecture * Rectilinear motion or linear motion is motion along a straight line * Rectilinear prophecy, where a straight line can be drawn from the prophecy to the fulfillment without any branches as in the case of typological interpretations * Near-rectilinear halo orbit, a highly-elliptical orbit around a Lagrangian point of a moon, that due to the moons orbital movement, will be nearly rectilinear in some frames of reference. See also * Linear (other) * Straight (other) Straight ...
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Straight Line
In geometry, a line is an infinitely long object with no width, depth, or curvature. Thus, lines are One-dimensional space, one-dimensional objects, though they may exist in Two-dimensional Euclidean space, two, Three-dimensional space, three, or higher dimension spaces. The word ''line'' may also refer to a line segment in everyday life, which has two Point (geometry), points to denote its ends. Lines can be referred by two points that lay on it (e.g., \overleftrightarrow) or by a single letter (e.g., \ell). Euclid described a line as "breadthless length" which "lies evenly with respect to the points on itself"; he introduced several postulates as basic unprovable properties from which he constructed all of geometry, which is now called Euclidean geometry to avoid confusion with other geometries which have been introduced since the end of the 19th century (such as Non-Euclidean geometry, non-Euclidean, Projective geometry, projective and affine geometry). In modern mathematic ...
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Rectilinear Grid
A regular grid is a tessellation of ''n''-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). Its opposite is irregular grid. Grids of this type appear on graph paper and may be used in finite element analysis, finite volume methods, finite difference methods, and in general for discretization of parameter spaces. Since the derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods. Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods. Each cell in the grid can be addressed by index (i, j) in two dimensions or (i, j, k) in three dimensions, and each vertex has coordinates (i\cdot dx, j\cdot dy) in 2D or (i\cdot dx, j\cdot dy, k\cdot dz) in 3D for some real numbers ''dx'', ''dy'', and ''dz'' representing the grid spacing. Related grids A Cartesian grid is a special case where the elements are uni ...
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Rectilinear Lens
In photography, a rectilinear lens is a photographic lens that yields images where straight features, such as the edges of walls of buildings, appear with straight lines, as opposed to being curved. In other words, it is a lens with little or no barrel or pincushion distortion. At particularly wide angles, however, the rectilinear perspective will cause objects to appear increasingly stretched and enlarged as they near the edge of the frame. These types of lenses are often used to create forced perspective effects. The most famous example is the Rapid Rectilinear Lens developed by John Henry Dallmeyer in 1866. It allowed distortionless photos to be taken quickly for the first time, and was a standard lens design for 60 years. As of 2020, the Laowa 9mm f/5.6 lens is the world's widest rectilinear lens for full frame cameras. The vast majority of video and still cameras use lenses that produce nearly rectilinear images. A popular alternative type of lens is a fisheye lens which p ...
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Rectilinear Locomotion
Rectilinear locomotion or rectilinear progression is a mode of locomotion most often associated with snakes. In particular, it is associated with heavy-bodied species such as terrestrial pythons and boas; however, most snakes are capable of it. It is one of at least five forms of locomotion used by snakes, the others being lateral undulation, sidewinding, concertina movement, and slide-pushing. Unlike all other modes of snake locomotion, which include the snake bending its body, the snake flexes its body only when turning in rectilinear locomotion. Biomechanics of rectilinear locomotion Rectilinear locomotion relies upon two opposing muscles, the costocutaneous inferior and superior, which are present on every rib and connect the ribs to the skin. Although it was originally believed that the ribs moved in a "walking" pattern during rectilinear movement, studies have shown that the ribs themselves do not move, only the muscles and the skin move to produce forward motion. First, the ...
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Rectilinear Polygon
A rectilinear polygon is a polygon all of whose sides meet at right angles. Thus the interior angle at each vertex is either 90° or 270°. Rectilinear polygons are a special case of isothetic polygons. In many cases another definition is preferable: a rectilinear polygon is a polygon with sides parallel to the axes of Cartesian coordinates. The distinction becomes crucial when spoken about sets of polygons: the latter definition would imply that sides of all polygons in the set are aligned with the same coordinate axes. Within the framework of the second definition it is natural to speak of horizontal edges and vertical edges of a rectilinear polygon. Rectilinear polygons are also known as orthogonal polygons. Other terms in use are iso-oriented, axis-aligned, and axis-oriented polygons. These adjectives are less confusing when the polygons of this type are rectangles, and the term axis-aligned rectangle is preferred, although orthogonal rectangle and rectilinear rectangle ...
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Rectilinear Propagation
Rectilinear propagation describes the tendency of electromagnetic waves (light) to travel in a straight line. Light does not deviate when travelling through a homogeneous medium, which has the same refractive index throughout; otherwise, light suffers ''refraction''. Even though a wave front may be bent, (e.g. the waves created by a rock hitting a pond) the individual rays are moving in straight lines. Rectilinear propagation was discovered by Pierre de Fermat Proof Take three cardboard A, B and C, of the same size. Make a pin hole at the centre of each of three cardboard. Place the cardboard in the upright position, such that the holes in A, B and C are in the same straight line, in the order. Place a luminous source like a candle near the cardboard A and look through the hole in the cardboard C. We can see the candle flame. This implies that light rays travel along a straight line ABC, and hence, candle flame is visible. When one of the cardboard is slightly displaced, candle ...
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Rectilinear Research Corporation
Rectilinear Research Corporation was a manufacturer of loudspeakers. The company was formed around 1966 and its principal was Morris I. Wiener (alt. sp. "Weiner") of Plandome Manor, New York. The first known main office location for the company (1966–68) was a30 Main Street Brooklyn, New York. Some time around 1968, the company moved headquarters, manufacturing assembly, and service center t107 Bruckner Blvd(E 133rd St.) in the Bronx. The company remained at this address until it was shuttered in 1977–8. Arnold Schwartz (Micro-Acoustics, founded in 1966), James Bongiorno (Ampzilla, founded in 1974), Marty Gersten (Ohm Acoustics, founded 1971), Jon Dahlquist (co-founder ith Saul B. Marantz">Marantz.html" ;"title="ith Saul B. Marantz">ith Saul B. Marantzof Dahlquist Phased Array in 1978 ), and Richard Shahinian (later engineer designer with Harman Kardon and founder of Shahinian Acoustics at or around 1975) were at different times and at different stages working with th ...
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Rectilinear Style
English Gothic is an architectural style that flourished from the late 12th until the mid-17th century. The style was most prominently used in the construction of cathedrals and churches. Gothic architecture's defining features are pointed arches, rib vaults, buttresses, and extensive use of stained glass. Combined, these features allowed the creation of buildings of unprecedented height and grandeur, filled with light from large stained glass windows. Important examples include Westminster Abbey, Canterbury Cathedral and Salisbury Cathedral. The Gothic style endured in England much longer than in Continental Europe. The Gothic style was introduced from France, where the various elements had first been used together within a single building at the choir of the Abbey of Saint-Denis north of Paris, completed in 1144. The earliest large-scale applications of Gothic architecture in England were Canterbury Cathedral and Westminster Abbey. Many features of Gothic architecture ...
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Rectilinear Motion
Linear motion, also called rectilinear motion, is one-dimensional motion along a straight line, and can therefore be described mathematically using only one spatial dimension. The linear motion can be of two types: uniform linear motion, with constant velocity (zero acceleration); and non-uniform linear motion, with variable velocity (non-zero acceleration). The motion of a particle (a point-like object) along a line can be described by its position x, which varies with t (time). An example of linear motion is an athlete running a 100-meter dash along a straight track. Linear motion is the most basic of all motion. According to Newton's first law of motion, objects that do not experience any net force will continue to move in a straight line with a constant velocity until they are subjected to a net force. Under everyday circumstances, external forces such as gravity and friction can cause an object to change the direction of its motion, so that its motion cannot be described as ...
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Typology (theology)
Typology in Christian theology and biblical exegesis is a doctrine or theory concerning the relationship of the Old Testament to the New Testament. Events, persons, or statements in the Old Testament are seen as types prefiguring or superseded by antitypes, events or aspects of Christ or his revelation described in the New Testament. For example, Jonah may be seen as the ''type'' of Christ in that he emerged from the fish's belly and thus appeared to rise from death. In the fullest version of the theory of typology, the whole purpose of the Old Testament is viewed as merely the provision of types for Christ, the antitype or fulfillment. The theory began in the Early Church, was at its most influential in the High Middle Ages, and continued to be popular, especially in Calvinism, after the Protestant Reformation, but in subsequent periods has been given less emphasis. In 19th century German protestantism, typological interpretation was distinguished from rectilinear inte ...
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Near-rectilinear Halo Orbit
A near-rectilinear halo orbit (NRHO) is a halo orbit with slightly curved – or nearly straight – sides between close passes with an orbiting body. The 2022 CAPSTONE mission is the first such orbit in cislunar space, and this Moon-centric orbit will serve as a staging area for future lunar missions. The orbit could be used with other bodies in the Solar System and beyond. A halo orbit is a periodic, three-dimensional orbit associated with one of the L1, L2 and L3 Lagrange points. Near-rectilinear means that some segments of the orbit have a greater curvature than those of an elliptical orbit of the same maximum diameter, and other segments have a curvature less than that of an elliptical orbit of the same maximum diameter (taking maximum diameter as that of the smallest circle that contains the whole of the orbit). In the extreme case all segments have zero curvature with four points with infinite curvature (''i.e.'' a polygon). Such a non-elliptical orbit would require at lea ...
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Linear (other)
The word linear comes from the Latin word ', which means "created by lines". Mathematics * Linearity * Linear algebra * Linear code * Linear cryptanalysis * Linear equation * Linear function * Linear functional * Linear map * Linear programming, a type of optimization problem * Linear system * Linear system of equations * Linear transformation Technology * Particularly in electronics, a device whose characteristic or transfer function is linear, in the mathematical sense, is called linear * Linear amplifier, a component of amateur radio equipment * Linear element, part of an electric circuit * Linear motor a type of electric motor * Linear phase, a property of an electronic filter * Linear Technology, an integrated circuit manufacturer * Linearity (computer and video games) Other uses * A kind of leaf shape in botany * LINEAR, the Lincoln Near-Earth Asteroid Research project * Linear A, one of two scripts used in ancient Crete * Linear B, a script that was used for writ ...
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