Vector Functions and their Differentiation Formulas in 3-dimensional Euclidean Spaces

• Autorzy: Xiquan Liang , Piqing Zhao , Ou Bai
• Języki publikacji: EN

Abstrakty

EN

In this article, we first extend several basic theorems of the operation of vector in 3-dimensional Euclidean spaces. Then three unit vectors: e1, e2, e3 and the definition of vector function in the same spaces are introduced. By dint of unit vector the main operation properties as well as the differentiation formulas of vector function are shown [12].

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2010
• Tom: 18
• Numer: 1
• Strony: 1-10

Daty

wydano

2010-01-01

online

2011-01-05

Twórcy

autor

Xiquan Liang

• Qingdao University of Science and Technology, China

autor

Piqing Zhao

• Qingdao University of Science and Technology, China

autor

Ou Bai

• University of Science and Technology of China, Hefei, China

Bibliografia

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• [11] Konrad Raczkowski and Paweł Sadowski. Real function differentiability. Formalized Mathematics, 1(4):797-801, 1990.
• [12] Murray R. Spiegel. Vector Analysis and an Introduction to Tensor Analysis. McGraw-Hill Book Company, New York, 1959.
• [13] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990.

Identyfikatory

DOI

10.2478/v10037-010-0001-2