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Transversal (other)
Transversal may refer to: * Transversal (combinatorics), a set containing exactly one member of each of several other sets * Transversal (geometry), a line that intersects two or more lines at different points * Transversal (instrument making), a technique for subdividing graduations * Transversal Corporation, a software company * Transversal plane, a geometric concept * Transversal, relating to the transverse plane in anatomy See also * Transverse (other) Transverse may refer to: *Transverse engine, an engine in which the crankshaft is oriented side-to-side relative to the wheels of the vehicle *Transverse flute, a flute that is held horizontally * Transverse force (or ''Euler force''), the tangen ... * Transversality (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transversal (combinatorics)
In mathematics, particularly in combinatorics, given a family of sets, here called a collection ''C'', a transversal (also called a cross-section) is a set containing exactly one element from each member of the collection. When the sets of the collection are mutually disjoint, each element of the transversal corresponds to exactly one member of ''C'' (the set it is a member of). If the original sets are not disjoint, there are two possibilities for the definition of a transversal: * One variation is that there is a bijection ''f'' from the transversal to ''C'' such that ''x'' is an element of ''f''(''x'') for each ''x'' in the transversal. In this case, the transversal is also called a system of distinct representatives (SDR). * The other, less commonly used, does not require a one-to-one relation between the elements of the transversal and the sets of ''C''. In this situation, the members of the system of representatives are not necessarily distinct. In computer science, comp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transversal (geometry)
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: vertical angles, consecutive interior angles, consecutive exterior angles, corresponding angles, alternate interior angles, alternate exterior angles, and linear pairs. As a consequence of Euclid's parallel postulate, if the two lines are parallel, consecutive angles and linear pairs are supplementary, while corresponding angles, alternate angles, and vertical angles are equal. Angles of a transversal A transversal produces 8 angles, as shown in the graph at the above left: *4 with each of the two lines, namely α, β, γ and δ and then α1, β1, γ1 and δ1; and *4 of which are interior (between the two lines), namely α, β, γ1 and δ1 and 4 of which are exterior ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transversal (instrument Making)
Transversals are a geometric construction on a scientific instrument to allow a Graduation (instrument), graduation to be read to a finer degree of accuracy. Their use creates what is sometimes called a diagonal scale, an engineering measuring instrument which is composed of a set of parallel straight lines which are Oblique angle, obliquely crossed by another set of straight lines. Diagonal scales are used to measure small fractions of the unit of measurement. Transversals have been replaced in modern times by vernier scales. This method is based on the Intercept theorem (also known as Thales's theorem). History Transversals were used at a time when finely graduated instruments were difficult to make. They were found on instruments starting in the early 14th century, but the inventor is unknown. In 1342 Levi Ben Gerson introduced an instrument called Jacob's staff (apparently invented the previous century by Jacob ben Makir, Jacob Ben Makir) and described the method of the transv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transversal Corporation
Transversal Corporation is a British software company specializing in cloud-based knowledge management. History Transversal was founded in 1998 by Davin Yap and David MacKay, researchers at the University of Cambridge, to develop a business application for answering customers' questions. Yap served as CEO until 2003 and again from 2005 to 2014, when he was replaced by company executive Heather Richards. In 2007, Transversal was named one of the UK's 20 fastest-growing venture companies. During the 2010s it broadened its geographical reach by opening offices in Australia, Germany and the United States. In 2019, Transversal was acquired by Verint Systems. Products and services Transversal provides knowledge management software for customer-facing websites, contact centers and enterprise systems. It offers an end-to-end implementation service (including consultancy and design), as well as an API An application programming interface (API) is a connection between computers o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transversal Plane
In geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ..., a transversal plane is a plane that intersects (not contains) two or more lines or planes. A transversal plane may also form dihedral angles. Theorems Transversal plane theorem for lines: Lines that intersect a transversal plane are parallel if and only if their alternate interior angles formed by the points of intersection are congruent. Transversal plane theorem for planes: Planes intersected by a transversal plane are parallel if and only if their alternate interior dihedral angles are congruent. Transversal line containment theorem: If a transversal line is contained in any plane other than the plane containing all the lines, then the plane is a transversal plane. References Multi-dimensional geometry [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transverse Plane
A transverse plane is a plane that is rotated 90° from two other planes. Anatomy The transverse plane is an anatomical plane that is perpendicular to the sagittal plane and the dorsal plane. It is also called the axial plane or horizontal plane, especially in human anatomy, but horizontal plane can be misleading with other animals. The plane splits the body into a cranial (head) side and caudal (tail) side, so in humans the plane will be horizontal (dividing the body into superior and inferior sections) but in quadrupeds it will be vertical. Human anatomy Clinically relevant anatomical planes * Transverse '' thoracic plane'' * '' Xiphosternal plane'' (or xiphosternal junction) * '' Transpyloric plane'' * '' Subcostal plane'' * '' Umbilical plane'' (or transumbilical plane) * '' Supracristal plane'' * '' Intertubercular plane'' (or transtubercular plane) * '' Interspinous plane'' Associated structures * The transverse '' thoracic plane'' ** Plane through T4 & T5 verteb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Transverse (other)
Transverse may refer to: *Transverse engine, an engine in which the crankshaft is oriented side-to-side relative to the wheels of the vehicle *Transverse flute, a flute that is held horizontally * Transverse force (or ''Euler force''), the tangential force that is felt in reaction to any angular acceleration *Transverse mass, a particle physics quantity *Transverse plane, the plane orthogonal to the anteroposterior or oral-aboral axis *Transverse rotors, a type of rotorcraft in which there are two rotors mounted side by side *Transverse wave In physics, a transverse wave is a wave that oscillates perpendicularly to the direction of the wave's advance. In contrast, a longitudinal wave travels in the direction of its oscillations. All waves move energy from place to place without t ..., a wave that causes a disturbance in the medium perpendicular to the direction it advances * Transverse Island, an island on the east side of Stefansson Bay, off the coast of Enderby Land * ''Tr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
