triangulation

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英語[编辑]

詞源[编辑]

People determining the width of a river by triangulation (sense 1)Template:Refn
A triangulation (sense 4) of the surface of a torus

源自中世紀拉丁語 triangulātiōnem (三角化),來自triangulāre (分成三角形) + -tiōnem (後綴,形成某些行為或行為結果有關的名詞)Triangulāre源自triangulāris (三角形的),來自triangulus (三角形的;三角形),來自trēs () + angulus (角;角落)。英語單詞可分析為triangulate +‎ -ion,與法語 triangulation同源。[1]

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triangulation (可數 不可數, 複數 triangulations)

  1. (不可數測量學) 三角測量(可數) 使用這種技術的實例
    • 1839 6月 14, T. B. Jervis, “IV. Some Account of the Progress of the Trigonometrical Survey Now Carrying On in India. Extracted from the Correspondence of Colonel Everest, and Communicated by Major T. B. Jervis.”, 出自 Monthly Notices of the Royal Astronomical Society, [], 卷 IV, 期 24, London: Printed by Moyes and Barclay, [], →OCLC頁號 208:
      The season of 1835–36 was employed in carrying on the triangulation; in which Colonel [George] Everest was much impeded by a long continuance of hazy and cloudy weather. It appears, however, that the principal triangulation was brought down to the line from Juktipura to Pagara; []
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    • 1843 2月 9, John B. Aycrigg, “Notes”, 出自 Report of John B. Aycrigg, (Made to the House of Representatives on the 9th February, 1843,) Submitted as an Individual Member of the Committee on the Coast Survey, [] (Report No. 170), Washington, D.C.: Printed at the National Intelligencer Office, 出版於 19 February 1843, →OCLC, note 19,頁號s 32–33:
      Russia began under Catherine II, and has since constantly either taken up at different points or extended the triangulations successively made, with always more perfection of men of science. Now, these triangulations form a fully connected series from north of the arctic circle to south of Dorpat.
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    • 1849 January–March, “Stated Meeting, January 19”, 出自 Proceedings of the American Philosophical Society, [], 卷 V, 期 42, Philadelphia, Pa.: Published for the [American Philosophical] Society, [b]y John C. Clark, [], 出版於 1854, →ISSN, →OCLC頁號s 57–58:
      The original base lines, which form the starting points of the survey, require to be measured by apparatus of the most delicate nature, since any error, committed in the early part of this work, will necessarily be multiplied throughout the series of triangulations which rest upon it. [] Nor is less precision necessary in the measurement of the angles of the primary and secondary triangulations, which serve as checks upon each other, since the position of any point in the former is determined by each of these series.
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  2. (可數測量學) 使用三角測量得到的網狀圖,是航圖地圖的基礎
    • 1860 11月 29, Henry James, “Appendix. [Official Correspondence, Letter C.]”, 出自 Extension of the Triangulation of the Ordnance Survey into France and Belgium [], London: Printed by George Edward Eyre and William Spottiswoode, [], for Her Majesty’s Stationery Office, 出版於 1863, →OCLC, paragraphs 1–2,頁號s 57–58:
      [] I have placed myself in communication with the Astronomer Royal, for the purpose of considering the steps necessary to be taken to effect the connexion required, between the triangulation of Great Britain and that of Belgium. [] I have also placed myself in communication with General Nerenburger, Director of the Dêpot de la Guerre at Brussels, and have received from him the diagram of the Belgian triangulation, with descriptions of the stations with which it is necessary to connect our triangulation, and we possess a copy of the triangulation of France.
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  3. (可數國際象棋) 三點等著的迫移技巧
    • 1961, Gerald Abrahams, “Kings and Ascending Pawns”, 出自 Technique in Chess, London: G[eorge] Bell and Sons, →OCLC; 再版 New York, N.Y.: Dover Publications, 1973, →ISBN頁號s 76 and 77:
      [page 76] At this point, it may be useful to refer to a word that has been used in connection with earlier examples. The King has been said to indulge in a process called Triangulation. The word is harder than the idea. The basic fact is that the King can move to an adjacent square in one move, two moves or three moves, without returning to its point of origin. [] [page 77] This diagram [] shows a position where the triangulation is vital.
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  4. (可數幾何學)平面物體細分為三角形,進而使更高維度幾何物體變為單體
    • 2002 March, Francisco Santos, “Triangulations of Oriented Matroids”, 出自 Memoirs of the American Mathematical Society, 卷 156, 期 741, Providence, R.I.: American Mathematical Society, →ISSN, →OCLC, chapter 5 (Lifting Triangulations),頁號 59:
      Regular triangulations are a class in-between lifting and lexicographic triangulations. Their main draw-back in the context of this paper is that regularity depends on the specific realization and not only on the oriented matroid.
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    • 2010, Jésus A[ntonio] De Loera, Jörg Rambau, Francisco Santos, “Triangulations in Mathematics”, 出自 Triangulations: Structures for Algorithms and Applications (Algorithms and Computation in Mathematics; 25), Heidelberg, Dordrecht: Springer Verlag, →DOI, →ISBN, →ISSN, definition 1.0.1,頁號 1:
      A triangulation of a point configuration is a collection of d-simplices all of whose vertices are points in that satisfies the following two properties: 1.  The union of all these simplices equals conv. (Union Property) 2. Any pair of these simplices intersects in a common face (possibly empty). (Intersection Property)
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  5. (不可數導航地震學) 利用已知地點的三個已知距離找到未知地點的過程
    • 1958 November–December, “News Notes: Army Weather Radar Tracks Nuclear Clouds”, 出自 William H. Zierdt Jr. 編, Armor: The Magazine of Mobile Warfare, 卷 LXVII, 期 6, Washington, D.C.: United States Armor Association, →ISSN, →OCLC頁號 58,列號 2:
      A special advantage of radar is that it works during darkness and other periods of low visibility, which prevent visual triangulation and aircraft techniques for measuring nuclear clouds.
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  6. (不可數政治)政治光譜重新定位自己或自己的團隊試圖抓住中心做法
    • 2004, Stanley A[llen] Renshon, “The Politics of Transformation”, 出自 In His Father’s Shadow: The Transformations of George W. Bush, New York, N.Y.: Palgrave Macmillan, →ISBN; paperback版, New York, N.Y., Basingstoke, Hampshire: Palgrave Macmillan, November 2005, →ISBN, section V (A Transforming President in Perspective),頁號 197:
      Triangulation was a presidential leadership strategy that presented the president as having borrowed elements of both the right and the left to develop some form of center policy amalgam.
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    • 2015, Tamar W. Carroll, “It Saved My Life: Creating Queer Politics”, 出自 Mobilizing New York: AIDS, Antipoverty, and Feminist Activism, Chapel Hill, N.C.: University of North Carolina Press, →ISBN頁號 181:
      Increased security for women's health clinics was part of [Bill] Clinton's "third way," a politics of triangulation that moved the Democratic Party closer to the right and embraced neoliberal economic policies while offering comparatively moderate social positions.
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  7. (不可數qualitative research) 三角論證
    • 1999, Carol Grbich, “Qualitative Research: An Introduction”, 出自 Qualitative Research in Health: An Introduction, Crows Nest, N.S.W.: Allen & Unwin, →ISBN, part 1 (Theory and Design),頁號s 17–18:
      One recent attempt to combine both forms of data collection [] was based on a parallel methods approach, in which the results of two similar but separately located studies were triangulated. Triangulation entails overlapping the results at several points to enhance reliability. [] Other documented research has attempted to gain a broader view through the triangulation of two sets of data (quantitative and qualitative) on the same question, taken from the same respondents in a single study.
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    • 2003 12月 1, Nahid Golafshani, “Understanding Reliability and Validity in Qualitative Research”, 出自 The Qualitative Report[1], 卷 8, 號 4,頁號 603:
      Even though triangulation is used in quantitative paradigm for confirmation and generalization of a research, Barbour (1998) does not disregard the notion of triangulation in qualitative paradigm and she states the need to define triangulation from a qualitative research's perspective in each paradigm. For example, in using triangulation of several data sources in quantitative research, any exception may lead to a disconfirmation of the hypothesis where exceptions in qualitative research are dealt to modify the theories and are fruitful.
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    • 2014, Alexander Cárdenas, “Introduction”, 出自 Football: Origins, Paths and New Dimensions: Master’s Thesis, [Munich]: GRIN Verlag, →ISBN, section 1.2 (Research Methods),頁號 4:
      Multiple sources of data were used to create a triangulation of evidence: books, documentation, archival records and relevant publications by key actors, particularly in the development field, open ended interviews, participant-observation conducted during field work and a case study. [] Triangulation was initially conceptualized as a strategy to validating results achieved with individual research methods. The focus of this research strategy, however, has increasingly shifted towards enriching and complementing knowledge and towards expanding and furthering the potential of individual methods.
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  1. triangulation, n.”, OED Online Paid subscription required, Oxford, Oxfordshire: Oxford University Press, 1914; “triangulation”, Lexico, Dictionary.com; Oxford University Press, 2019–present.

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triangulation f (複數 triangulations)

  1. 三角測量

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