Epigraph (mathematics), Epigraph
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Epigraph (mathematics), Epigraph
Epigraph may refer to: * An inscription, as studied in the archeological sub-discipline of epigraphy * Epigraph (literature), a phrase, quotation, or poem that is set at the beginning of a document or component * Epigraph (mathematics), the set of points lying on or above the graph of a function * Epigraphs (album), ''Epigraphs'' (album), an album by Ketil Bjørnstad and David Darling See also

* Epigram (other) {{disambiguation ...
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Epigraphy
Epigraphy () is the study of inscriptions, or epigraphs, as writing; it is the science of identifying graphemes, clarifying their meanings, classifying their uses according to dates and cultural contexts, and drawing conclusions about the writing and the writers. Specifically excluded from epigraphy are the historical significance of an epigraph as a document and the artistic value of a literature, literary composition. A person using the methods of epigraphy is called an ''epigrapher'' or ''epigraphist''. For example, the Behistun inscription is an official document of the Achaemenid Empire engraved on native rock at a location in Iran. Epigraphists are responsible for reconstructing, translating, and dating the trilingual inscription and finding any relevant circumstances. It is the work of historians, however, to determine and interpret the events recorded by the inscription as document. Often, epigraphy and history are competences practised by the same person. Epigraphy is ...
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Epigraph (literature)
In literature, an epigraph is a phrase, quotation, or poem that is set at the beginning of a document, monograph or section or chapter thereof. The epigraph may serve as a preface to the work; as a summary; as a counter-example; or as a link from the work to a wider literary canon, with the purpose of either inviting comparison or enlisting a conventional context. A book may have an overall epigraph that is part of the front matter, one for each chapter, or both. Examples * As the epigraph to '' The Sum of All Fears'', Tom Clancy quotes Winston Churchill in the context of thermonuclear war: "Why, you may take the most gallant sailor, the most intrepid airman or the most audacious soldier, put them at a table together – what do you get? The sum of their fears." * Sir Walter Scott frequently used epigraphs in his historical novels, including throughout his Waverley novels. * The long quotation from Dante's '' Inferno'' that prefaces T. S. Eliot's " The Love Song of J. Alfr ...
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Epigraph (mathematics)
In mathematics, the epigraph or supergraph of a Function (mathematics), function f : X \to [-\infty, \infty] valued in the Extended real number line, extended real numbers [-\infty, \infty] = \Reals \cup \ is the Set (mathematics), set \operatorname f = \ consisting of all points in the Cartesian product X \times \Reals lying on or above the function's Graph of a function, graph. Similarly, the strict epigraph \operatorname_S f is the set of points in X \times \Reals lying strictly above its graph. Importantly, unlike the graph of f, the epigraph consists of points in X \times \Reals (this is true of the graph only when f is real-valued). If the function takes \pm \infty as a value then \operatorname f will be a subset of its epigraph \operatorname f. For example, if f\left(x_0\right) = \infty then the point \left(x_0, f\left(x_0\right)\right) = \left(x_0, \infty\right) will belong to \operatorname f but not to \operatorname f. These two sets are nevertheless closely re ...
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Epigraphs (album)
''Epigraphs'' is an album by Norwegian pianist Ketil Bjørnstad with American cellist David Darling recorded in September 1998 and released on ECM in 2000. Background Tracks from ''Epigraph'' were used as part of the soundtrack of Jean-Luc Godard's film '' In Praise of Love''. Reception The All About Jazz review by Glenn Astarita awarded the album 3.5 stars. The AllMusic review by Rick Anderson awarded the album 4 stars, stating:To call this music "minimalist" wouldn't be entirely accurate, since there's quite a bit of harmonic movement and not much repetition, but because Bjornstad and Darling's playing is so consistently gentle and the music is so consistently quiet and pleasant, this album has a flavor that will be familiar to fans of Philip Glass and Arvo Pärt. Recommended. Track listing :''All compositions by Ketil Bjørnstad, except as noted.'' #"Epigraph No. 1" – 3:04 #"Upland" – 4:04 #"Wakening" – 4:10 #"Epigraph No. 1, Var. 1" – 1:39 #"Pavane" (William ...
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