Hypograph En
Hypograph may refer to: * Hypograph (mathematics), the set of points lying below the graph of a function * Hypograph, or hypogram, something written at the end of a document (for example, a postscript) See also * Hypergraph, in mathematics * '' Hypographa'', a genus of moths * '' Hypographia'', another, obsolete, genus of moths * Hippogriff The hippogriff, or sometimes spelled hippogryph ( el, Ἱππόγρυπας), is a legendary creature with the front half of an eagle and the hind half of a horse. It was invented by Ludovico Ariosto in his ''Orlando Furioso'', at the beginning o ...

Hypograph (mathematics)
In mathematics, the hypograph or subgraph of a function f:\R^\rightarrow \R is the set of points lying on or below its graph. A related definition is that of such a function's epigraph, which is the set of points on or above the function's graph. The domain (rather than the codomain) of the function is not particularly important for this definition; it can be an arbitrary set instead of \mathbb^n. Definition The definition of the hypograph was inspired by that of the graph of a function, where the of f : X \to Y is defined to be the set :\operatorname f := \left\. The or of a function f : X \to \infty, \infty/math> valued in the extended real numbers \infty, \infty= \mathbb \cup \ is the set : \begin \operatorname f &= \left\ \\ &= \left f^(\infty) \times \mathbb \right\cup \bigcup_ \ \times (-\infty, f(x)]. \end Similarly, the set of points on or above the function is its epigraph. The is the hypograph with the graph removed: : \begin \operatorname_S f ...
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Postscript
PostScript (PS) is a page description language in the electronic publishing and desktop publishing realm. It is a dynamically typed, concatenative programming language. It was created at Adobe Systems by John Warnock, Charles Geschke, Doug Brotz, Ed Taft and Bill Paxton from 1982 to 1984. History The concepts of the PostScript language were seeded in 1976 by John Gaffney at Evans & Sutherland, a computer graphics company. At that time Gaffney and John Warnock were developing an interpreter for a large three-dimensional graphics database of New York Harbor. Concurrently, researchers at Xerox PARC had developed the first laser printer and had recognized the need for a standard means of defining page images. In 1975-76 Bob Sproull and William Newman developed the Press format, which was eventually used in the Xerox Star system to drive laser printers. But Press, a data format rather than a language, lacked flexibility, and PARC mounted the Interpress effort to create a succ ...
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Hypergraph
In mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two vertices. Formally, an undirected hypergraph H is a pair H = (X,E) where X is a set of elements called ''nodes'' or ''vertices'', and E is a set of non-empty subsets of X called ''hyperedges'' or ''edges''. Therefore, E is a subset of \mathcal(X) \setminus\, where \mathcal(X) is the power set of X. The size of the vertex set is called the ''order of the hypergraph'', and the size of edges set is the ''size of the hypergraph''. A directed hypergraph differs in that its hyperedges are not sets, but ordered pairs of subsets of X, with each pair's first and second entries constituting the tail and head of the hyperedge respectively. While graph edges connect only 2 nodes, hyperedges connect an arbitrary number of nodes. However, it is often desirable to study hypergraphs where all hyperedges have the same card ...
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Hypographa
''Hypographa'' is a genus of moths in the family Geometridae erected by Achille Guenée Achille Guenée (sometimes M.A. Guenée; 1 January 1809 – 30 December 1880) was a French lawyer and entomologist. Biography Achille Guenée was born in Chartres and died in Châteaudun. He was educated in Chartres, where he showed a very e ... in 1857. Species *'' Hypographa epiodes'' Turner, 1930 *'' Hypographa aristarcha'' Prout, 1910 *'' Hypographa phlegetonaria'' Guenée, 1857 *'' Hypographa reflua'' Lucas, 1898 References * Oenochrominae {{Oenochrominae-stub ...
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Hypographia
''Ancylosis'' is a genus of snout moth. It was described by Philipp Christoph Zeller in 1839, and is known from South Africa, Uzbekistan, Spain, Turkmenistan, Lebanon, Algeria, Tunisia, Russia, Israel, Palestine, Tinos, Australia, Seychelles, Afghanistan, the United States, Iraq, Namibia, Kazakhstan, Iran, Mauritius, Mozambique, Sarepta, Argentina, Sri Lanka, and Aden. Species *Subgenus ''Ancylosis'' **'' Ancylosis anguinosella'' Zeller, 1848 **'' Ancylosis cinnamomella'' (Duponchel, 1836) **'' Ancylosis dryadella'' (Ragonot, 1887) **'' Ancylosis imitella'' Hampson, 1901 **'' Ancylosis sareptalla'' (Herrich-Schäffer, 1861) **'' Ancylosis uncinatella'' (Ragonot, 1890) *Subgenus ''Heterographis'' Ragonot, 1885 **'' Ancylosis albicosta'' (Staudinger, 1870) **'' Ancylosis convexella'' (Lederer, 1855) **'' Ancylosis faustinella'' (Zeller, 1867) **'' Ancylosis gracilella'' (Ragonot, 1887) **'' Ancylosis harmoniella'' (Ragonot, 1887) **'' Ancylosis hellenica'' (Staudinger, 1871) **'' Anc ...
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