Partial Differentiation of Real Binary Functions
Bing Xie ; Xiquan Liang ; Hongwei Li
Formalized Mathematics, Tome 16 (2008), p. 333-338 / Harvested from The Polish Digital Mathematics Library

In this article, we define two single-variable functions SVF1 and SVF2, then discuss partial differentiation of real binary functions by dint of one variable function SVF1 and SVF2. The main properties of partial differentiation are shown [7].MML identifier: PDIFF 2, version: 7.9.03 4.104.1021

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:267011
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     author = {Bing Xie and Xiquan Liang and Hongwei Li},
     title = {Partial Differentiation of Real Binary Functions},
     journal = {Formalized Mathematics},
     volume = {16},
     year = {2008},
     pages = {333-338},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0041-z}
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Bing Xie; Xiquan Liang; Hongwei Li. Partial Differentiation of Real Binary Functions. Formalized Mathematics, Tome 16 (2008) pp. 333-338. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0041-z/

[1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.

[2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.

[3] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990.

[4] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.

[5] Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.

[6] Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991.

[7] Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces ▽n. Formalized Mathematics, 15(2):65-72, 2007.

[8] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.

[9] Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.

[10] Jarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269-272, 1990.

[11] Konrad Raczkowski and Paweł Sadowski. Real function continuity. Formalized Mathematics, 1(4):787-791, 1990.

[12] Konrad Raczkowski and Paweł Sadowski. Real function differentiability. Formalized Mathematics, 1(4):797-801, 1990.

[13] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990.

[14] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.

[15] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.