کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4602519 | 1631169 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dodgson condensation: The historical and mathematical development of an experimental method
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
Dodgson’s condensation method has become a powerful tool in the automation of determinant evaluations. In this expository paper I describe its 19th century roots and the major steps on the path that began in the 20th century when the iteration of an identity derived by Dodgson first was studied, including its role in the discovery of the alternating sign matrix conjecture, the evaluation of an important 19th century determinant in partition theory as well as a combinatorial proof of it. I then discuss additional developments that have led the way to its use in modern experimental mathematics.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 429, Issues 2–3, 15 July 2008, Pages 429-438
Journal: Linear Algebra and its Applications - Volume 429, Issues 2–3, 15 July 2008, Pages 429-438