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Диференціальні перетворення тотожностей як метод отримання нових співвідношень
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UDC: 51 (071)
Publication Language: Russian
Stuc. intelekt. 2011; 16(1):207-217
Abstract: The purpose of the paper is the further development of the well-known in mathematics method for transformation of identities. Some differential and integral transformations of various identities of the mathematical analysis are proposed in the paper. The method has good mathematical possibilities and is wider than this paper. It can be applied for proving identities and inequalities and obtaining new identities. So, a simple proof of the Euler’s formula is offered. Besides, we have got representation of the scalar and vector products of in a complex form that allows applying the Lagrange’s identity and the Euler's formula. Most of new identities obtained by this method are presented in the tables.
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