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首页> 外文期刊>Science and Culture >A REMARKABLE TECHNIQUE OF SOLVING LINEAR ORDINARY DIFFERENTIAL EQUATIONS USING LINEAR ALGEBRA
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A REMARKABLE TECHNIQUE OF SOLVING LINEAR ORDINARY DIFFERENTIAL EQUATIONS USING LINEAR ALGEBRA

机译：一种使用线性代数求解线性常微分方程的杰出技术

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摘要

The University of Calcutta had the distinction of producing very eminent mathematicians from the end of the nineteenth century. The original researches produced by them have time and again been acclaimed by the mathematical community of far and near. Led by the pioneer mathematical legend Sir Asutosh Mookerjee and followed by researchers like Dr. Syamadas Mukhopadhyay (1866 -1937). Professor Meghnad Saha (1893 - 1956), Professor Satyendra Nath Bose (1894 - 1974), Professor Raj Chandra Bose (1901 - 1987), Professor Prashanto Chandra Mahalanobis (1893 -1972), Professor Amal Kumar Ray Chaudhury (1923 - 2005), Professor Rabindra Nath Sen (1896 - 1974), Professor Manindra Chandra Chaki (1913 - 2007) and others, this university has been the repertory of novel and useful mathematical methods, techniques and knowledge. The reason for writing this brief communique', is to unveil one such remarkable technique of solving linear ordinary differential equations, using linear algebra, as discovered by Professor Jyoti Das (nee' Chaudhury), an eminent scholar and a prized former faculty member of the University of Calcutta. To highlight the importance of her method, firstly a brief history of linear ordinary differential equations has been discussed. After that, attempts have been made to explain Professor Jyoti Das's work in a lucid and simple fashion. The technique is both useful as well as remarkable and it adds another feather to the already colourful cap of the University of Calcutta.
机译：加尔各答大学的杰出之处在于，从19世纪末开始培养杰出的数学家。他们所进行的原始研究已经一次又一次地受到远近数学界的好评。由先驱数学传奇人物Asutosh Mookerjee爵士领导，随后是Syamadas Mukhopadhyay博士（1866 -1937）等研究人员。 Meghnad Saha教授（1893-1956），Satyendra Nath Bose教授（1894-1974），Raj Chandra Bose教授（1901-1987），Prashanto Chandra Mahalanobis教授（1893-1972），Amal Kumar Ray Chaudhury教授（1923-2005）， Rabindra Nath Sen教授（1896-1974），Manindra Chandra Chaki教授（1913-2007）等人，这所大学一直是新颖实用的数学方法，技术和知识的汇辑。之所以写这篇简短的公报，是为了揭示一种如此杰出的技术，它使用线性代数来求解线性常微分方程，这是著名学者，著名的前教职员工Jyoti Das教授（nee'Chaudhury）发现的。加尔各答大学。为了强调其方法的重要性，首先讨论了线性常微分方程的简要历史。此后，试图以清晰和简单的方式解释Jyoti Das教授的工作。该技术既有用又引人注目，它为加尔各答大学本来就色彩斑cap的帽子增添了另一条羽毛。

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