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Pappus Graph LS
Pappus may refer to: * Pappus (botany), a structure within certain flowers * ''Pappus'' (bug), a genus of insects in the tribe Mirini * Pappus of Alexandria, Greek mathematician ** Pappus's hexagon theorem, often just called 'Pappus's theorem', a theorem named for Pappus of Alexandria ** Pappus's centroid theorem, another theorem named for Pappus of Alexandria ** Pappus configuration, a geometric configuration related to 'Pappus's theorem' ** Pappus graph, a graph Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discret ... related to the pappus configuration See also * Papus (other) * Pappu, an Indian male given name ** Pappu (cinematographer) (1977–2022), Indian cinematographer * ''Pappu'' (film), 1980 Indian film {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus (botany)
In Asteraceae, the pappus is the modified calyx_(botany), calyx, the part of an individual floret, that surrounds the base of the petal, corolla tube in flower. It functions as a dispersal mechanism for the achenes that contain the seeds. In Asteraceae, the pappus may be composed of bristles (sometimes feathery), awns, scales, or may be absent, and in some species, is too small to see without magnification. In genera such as ''Taraxacum'' or ''Eupatorium'', feathery bristles of the pappus function as a "parachute" which enables the seed to be carried by the wind. In genera such as ''Bidens'' the pappus has hooks that function in mechanical dispersal. The name derives from the Ancient Greek word ''pappos'', Latin ''pappus'', meaning "old man", so used for a plant (assumed to be an ''Erigeron'' species) having bristles and also for the woolly, hairy seed of certain plants. The pappus of the Taraxacum, dandelion plays a vital role in the wind-aided dispersal of its seeds. By cr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus (bug)
Pappus may refer to: * Pappus (botany), a structure within certain flowers * ''Pappus'' (bug), a genus of insects in the tribe Mirini * Pappus of Alexandria, Greek mathematician ** Pappus's hexagon theorem, often just called 'Pappus's theorem', a theorem named for Pappus of Alexandria ** Pappus's centroid theorem, another theorem named for Pappus of Alexandria ** Pappus configuration, a geometric configuration related to 'Pappus's theorem' ** Pappus graph, a graph Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discret ... related to the pappus configuration See also * Papus (other) * Pappu, an Indian male given name ** Pappu (cinematographer) (1977–2022), Indian cinematographer * ''Pappu'' (film), 1980 Indian film {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mirini
Mirini is a tribe of plant bugs belonging to the subfamily Mirinae. Genera '' Acanthocranella'' - '' Acanthopeplus'' - '' Actinonotus'' - '' Adelphocoridea'' - '' Adelphocoris'' - '' Adelphocorisella'' - '' Adnotholopus'' - '' Adphytocoris'' - '' Adpiasus'' - '' Adtaedia'' - '' Agnocoris'' - '' Alloeochrus'' - '' Alloeonotus'' - '' Allorhinocoris'' - '' Anexochus'' - '' Anosibea'' - '' Apantilius'' - '' Aphanosoma'' - '' Apolygopsis'' - '' Apolygus'' - '' Araucanomiris'' - '' Argenis'' - '' Aristopeplus'' - '' Atahualpacoris'' - '' Austrocapsus'' - '' Austropeplus'' - '' Azumamiris'' - '' Bertsa'' - '' Bipuncticoris'' - '' Bispinocoris'' - '' Bolivarmiris'' - '' Boliviocapsus'' - '' Boliviocoris'' - '' Bolteria'' - '' Bowdenella'' - '' Brachycoleus'' - '' Buettneriella'' - '' Calocoris'' - '' Calocorisca'' - '' Calocoropsis'' - '' Calondas'' - '' Calyptodera'' - '' Camptozygum'' - '' Capsodes'' - '' Capsus'' - '' Carvalhocapsus'' - '' Castanopsides'' - '' Catarinea'' - '' Cha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus Of Alexandria
Pappus of Alexandria (; ; AD) was a Greek mathematics, Greek mathematician of late antiquity known for his ''Synagoge'' (Συναγωγή) or ''Collection'' (), and for Pappus's hexagon theorem in projective geometry. Almost nothing is known about his life except for what can be found in his own writings, many of which are lost. Pappus apparently lived in Alexandria, where he worked as a Mathematics education, mathematics teacher to higher level students, one of whom was named Hermodorus.Pierre Dedron, J. Itard (1959) ''Mathematics And Mathematicians'', Vol. 1, p. 149 (trans. Judith V. Field) (Transworld Student Library, 1974) The ''Collection'', his best-known work, is a compendium of mathematics in eight volumes, the bulk of which survives. It covers a wide range of topics that were part of the ancient mathematics curriculum, including geometry, astronomy, and mechanics. Pappus was active in a period generally considered one of stagnation in mathematical studies, where, to s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus's Hexagon Theorem
In mathematics, Pappus's hexagon theorem (attributed to Pappus of Alexandria) states that *given one set of collinear points A, B, C, and another set of collinear points a,b,c, then the intersection points X,Y,Z of line pairs Ab and aB, Ac and aC, Bc and bC are collinear, lying on the ''Pappus line''. These three points are the points of intersection of the "opposite" sides of the hexagon AbCaBc. It holds in a projective plane over any field, but fails for projective planes over any noncommutative division ring. Projective planes in which the "theorem" is valid are called pappian planes. If one considers a pappian plane containing a hexagon as just described but with sides Ab and aB parallel and also sides Bc and bC parallel (so that the Pappus line u is the line at infinity), one gets the ''affine version'' of Pappus's theorem shown in the second diagram. If the Pappus line u and the lines g,h have a point in common, one gets the so-called little version of Pappus's theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus's Centroid Theorem
In mathematics, Pappus's centroid theorem (also known as the Guldinus theorem, Pappus–Guldinus theorem or Pappus's theorem) is either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution. The theorems are attributed to Pappus of Alexandria and Paul Guldin. Pappus's statement of this theorem appears in print for the first time in 1659, but it was known before, by Kepler in 1615 and by Guldin in 1640. The first theorem The first theorem states that the surface area ''A'' of a surface of revolution generated by rotating a plane curve ''C'' about an axis external to ''C'' and on the same plane is equal to the product of the arc length ''s'' of ''C'' and the distance ''d'' traveled by the geometric centroid of ''C'': A = sd. For example, the surface area of the torus with minor radius ''r'' and major radius ''R'' is A = (2\pi r)(2\pi R) = 4\pi^2 R r. Proof A curve given by the positive function f(x) is bounded by two points ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus Configuration
In geometry, the Pappus configuration is a configuration of nine points and nine lines in the Euclidean plane, with three points per line and three lines through each point. History and construction This configuration is named after Pappus of Alexandria. Pappus's hexagon theorem states that every two triples of collinear points and (none of which lie on the intersection of the two lines) can be completed to form a Pappus configuration, by adding the six lines , , , , , and , and their three intersection points , , and . These three points are the intersection points of the "opposite" sides of the hexagon . According to Pappus' theorem, the resulting system of nine points and eight lines always has a ninth line containing the three intersection points , , and , called the ''Pappus line''. The Pappus configuration can also be derived from two triangles and that are in perspective with each other (the three lines through corresponding pairs of points meet at a single crossin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappus Graph
In the mathematical field of graph theory, the Pappus graph is a bipartite, 3- regular, undirected graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus configuration. It is named after Pappus of Alexandria, an ancient Greek mathematician who is believed to have discovered the "hexagon theorem" describing the Pappus configuration. All the cubic, distance-regular graphs are known; the Pappus graph is one of the 13 such graphs. The Pappus graph has rectilinear crossing number 5, and is the smallest cubic graph with that crossing number . It has girth 6, diameter 4, radius 4, chromatic number 2, chromatic index 3 and is both 3- vertex-connected and 3- edge-connected. It has book thickness 3 and queue number 2. The Pappus graph has a chromatic polynomial equal to: (x-1)x(x^ - 26x^ + 325x^ - 2600x^ + 14950x^ - 65762x^ + 229852x^ - 653966x^9 + 1537363x^8 - 3008720x^7 + 4904386x^6 - 6609926x^5 + 7238770x^4 - 6236975x^3 + 3989074x^2 - 1690406x + 356509) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Theory
In mathematics and computer science, graph theory is the study of ''graph (discrete mathematics), graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of ''Vertex (graph theory), vertices'' (also called ''nodes'' or ''points'') which are connected by ''Glossary of graph theory terms#edge, edges'' (also called ''arcs'', ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a Set (mathematics), set of vertices (also called nodes or points); * ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Papus (other)
Papus was a pseudonym of the French physician, hypnotist, and occultist Gérard Encausse (1865–1916), founder of the modern Martinist Order. Papus may also refer to: * '' El Papus'', a Spanish satirical magazine * a Roman family name; see Aemilia gens § Aemilii Papi ** Quintus Aemilius Papus Quintus Aemilius Papus (fl. 282 BC275 BC), a member of the Papus family of the '' gens Aemilia'', a patrician clan, was a Roman general and statesman. Career Quintus Aemilius Papus was elected consul for 282 BC and 278, both times with Gaius Fa ... (3rd century BC), Roman general and statesman ** Lucius Aemilius Papus (3rd century BC), Roman general and statesman who held a series of offices in the emperor's service ** Marcus Aemilius Papus (2nd century BC), Roman senator * '' Protilema papus'', an Indonesian species of beetle in the family Cerambycidae See also * Pappus (other) {{disambiguation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappu
Pappu (पप्पु) is a male given name in some regions of India. The name ''pappu'' is taken from the English word papa (पापा) which is a nickname for a small boy in India. Pappu has been used frequently in popular culture (e.g., A. R. Rahman's chartbuster " Pappu Can't Dance", Election Commission's "Pappu can't vote" campaign and Cadbury's "Pappu Pass Ho Gaya" ad campaign). It has also been used in film titles such as '' Aur Pappu Paas Ho Gaya'' (2007), '' Pappu Can't Dance Saala'' (2011). Origins According to ''The Economic Times'', using the name ''Pappu'' in ad campaigns connects with consumers. They also described Pappu as the "darling salesman" for marketers. The first use of ''Pappu'' in advertisement campaign was done by Cadbury chocolates in 2006. Abhijit Avasthi of the advertising agency Ogilvy & Mather is credited for the introducing ''Pappu'' into the advertisement world for Cadbury. Cadbury popularized ''Pappu'' through its ad campaign pappu is ba ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pappu (cinematographer)
Sudheesh Pappu (1977/1978 – 14 November 2022), professionally credited mononymously as Pappu, was an Indian cinematographer who worked in Malayalam cinema. Early life Pappu was born in Thrippunithura, Ernakulam, Kerala. He was schooled in Kendriya Vidyalaya, Ernakulam. Career Pappu began his career by assisting cinematographer Rajeev Ravi in films such as '' Chandni Bar'' (2001), '' Sesham'' (2002) and '' Dev.D'' (2009), and subsequently made his debut as an independent cinematographer with the Malayalam crime film '' Second Show'' in 2012. From then, Pappu worked in a number of Malayalam films, including the mystery thriller ''Koothara'' (2014), '' Ayaal Sassi'', '' Rose Guitarinaal'', '' Njan Steve Lopez'' (2014) and the romantic drama '' Eeda'' (2018). Death Pappu died at Ernakulam on 14 November 2022, at the age of 44. He was suffering from Amyloidosis Amyloidosis is a group of diseases in which abnormal proteins, known as amyloid fibrils, build up in tissue. There ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
