Partial Differentiation of Vector-Valued Functions on n-Dimensional Real Normed Linear Spaces
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|Jul 2011References
- [1] Grzegorz Bancerek. The fundamental properties of natural numbers., 1():41-46, 1990.
- [2] Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences., 1():107-114, 1990.
- [3] Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets., 1():529-536, 1990.
- [4] Czesław Byliński. Functions and their basic properties., 1():55-65, 1990.
- [5] Czesław Byliński. Functions from a set to a set., 1():153-164, 1990.
- [6] Czesław Byliński. Partial functions., 1():357-367, 1990.
- [7] Agata Darmochwał. The Euclidean space., 2():599-603, 1991.
- [8] Noboru Endou and Yasunari Shidama. Completeness of the real Euclidean space., 13():577-580, 2005.
- [9] Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces., 15():65-72, 2007, doi:10.2478/v10037-007-0008-5.
- [10] Krzysztof Hryniewiecki. Basic properties of real numbers., 1():35-40, 1990.
- [11] Hiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces., 12():321-327, 2004.
- [12] Takao Inoué, Noboru Endou, and Yasunari Shidama. Differentiation of vector-valued functions on-dimensional real normed linear spaces., 18():207-212, 2010, doi: 10.2478/v10037-010-0025-7.
- [13] Jarosław Kotowicz. Real sequences and basic operations on them., 1():269-272, 1990.
- [14] Jarosław Kotowicz. Functions and finite sequences of real numbers., 3():275-278, 1992.
- [15] Yatsuka Nakamura, Artur Korniłowicz, Nagato Oya, and Yasunari Shidama. The real vector spaces of finite sequences are finite dimensional., 17():1-9, 2009, doi:10.2478/v10037-009-0001-2.
- [16] Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces., 12():269-275, 2004.
- [17] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions., 1():223-230, 1990.
- [18] Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers., 1():777-780, 1990.
- [19] Walter Rudin.. MacGraw-Hill, 1976.
- [20] Laurent Schwartz.. Hermann, 1981.
- [21] Wojciech A. Trybulec. Vectors in real linear space., 1():291-296, 1990.
- [22] Zinaida Trybulec. Properties of subsets., 1():67-71, 1990.
- [23] Edmund Woronowicz. Relations defined on sets., 1():181-186, 1990.
- [24] Hiroshi Yamazaki, Yoshinori Fujisawa, and Yatsuka Nakamura. On replace function and swap function for finite sequences., 9():471-474, 2001.
Language: English
Page range: 1 - 9
Published on: Jul 18, 2011
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
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© 2011 Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.