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

Xiquan Liang; Piqing Zhao; Ou Bai

Formalized Mathematics (2010)

- Volume: 18, Issue: 1, page 1-10
- ISSN: 1426-2630

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topXiquan Liang, Piqing Zhao, and Ou Bai. "Vector Functions and their Differentiation Formulas in 3-dimensional Euclidean Spaces." Formalized Mathematics 18.1 (2010): 1-10. <http://eudml.org/doc/266734>.

@article{XiquanLiang2010,

abstract = {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].},

author = {Xiquan Liang, Piqing Zhao, Ou Bai},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {1-10},

title = {Vector Functions and their Differentiation Formulas in 3-dimensional Euclidean Spaces},

url = {http://eudml.org/doc/266734},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Xiquan Liang

AU - Piqing Zhao

AU - Ou Bai

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

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 1

SP - 1

EP - 10

AB - 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].

LA - eng

UR - http://eudml.org/doc/266734

ER -

## References

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- [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.

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