Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century最新文献

Guðbrandur Vigfússon

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_012

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“Sacred Isle! Mightiest Temple of Remembrance!” “神圣的岛!最伟大的纪念神庙!”

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_004

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Finnur Jónsson

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_013

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Jón Sigurðsson 扬-西古尔松

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_009

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Müller’s Method 穆勒的方法

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_005

J. H. Mathews, K. Fink

{"title":"Müller’s Method","authors":"J. H. Mathews, K. Fink","doi":"10.1163/9789004501683_005","DOIUrl":"https://doi.org/10.1163/9789004501683_005","url":null,"abstract":"(p 0 , f (p 0)) (p 2 , f(p 2)) p 0 t = h 0 h 1 h 0 p 1 t = h 1 p 2 t = 0 p 3 t = z y = f(x) Figure 2.17 The starting approximations p 0 , p 1 , and p 2 for Muller's method, and the differences h 0 and h 1. Muller's method is a generalization of the secant method, in the sense that it does not require the derivative of the function. It is an iterative method that requires three starting points (p 0 , f (p 0)), (p 1 , f (p 1)), and (p 2 , f (p 2)). A parabola is constructed that passes through the three points; then the quadratic formula is used to find a root of the quadratic for the next approximation. It has been proved that near a simple root Muller's method converges faster than the secant method and almost as fast as Newton's method. The method can be used to find real or complex zeros of a function and can be programmed to use complex arithmetic. Without loss of generality, we assume that p 2 is the best approximation to the root and consider the parabola through the three starting values, shown in Figure 2.17. Make the change of variable (9) t = x − p 2 , and use the differences (10) h 0 = p 0 − p 2 and h 1 = p 1 − p 2. Consider the quadratic polynomial involving the variable t: (11) y = at 2 + bt + c.","PeriodicalId":176808,"journal":{"name":"Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121329930","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

The Invigorating Childhood Memories of the North 北方令人振奋的童年记忆

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_010

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Icelandic-Danish Cooperation and Disputes 1816–1858 冰岛与丹麦的合作与争端(1816-1858)

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_006

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Rudolf Keyser and His Use of Old Norse Texts in the Norwegian National Initiative 鲁道夫·凯泽和他在挪威国家倡议中对古挪威语文本的使用

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_008

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Whose Cultural Heritage? 谁的文化遗产?

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_003

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National Liberty and Its Shortcomings 国家自由及其缺陷

Old Norse-Icelandic Philology and National Identity in the Long Nineteenth Century Pub Date : 2021-10-21 DOI: 10.1163/9789004501683_011

引用次数: 0