Partial Differentiation on Normed Linear Spaces R n

Noboru Endou; Yasunari Shidama; Keiichi Miyajima

Formalized Mathematics (2007)

  • Volume: 15, Issue: 2, page 65-72
  • ISSN: 1426-2630

Abstract

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Summary. In this article, we define the partial differentiation of functions of real variable and prove the linearity of this operator [18].

How to cite

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Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. " Partial Differentiation on Normed Linear Spaces R n ." Formalized Mathematics 15.2 (2007): 65-72. <http://eudml.org/doc/266552>.

@article{NoboruEndou2007,
abstract = {Summary. In this article, we define the partial differentiation of functions of real variable and prove the linearity of this operator [18].},
author = {Noboru Endou, Yasunari Shidama, Keiichi Miyajima},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {65-72},
title = { Partial Differentiation on Normed Linear Spaces R n },
url = {http://eudml.org/doc/266552},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Noboru Endou
AU - Yasunari Shidama
AU - Keiichi Miyajima
TI - Partial Differentiation on Normed Linear Spaces R n
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 2
SP - 65
EP - 72
AB - Summary. In this article, we define the partial differentiation of functions of real variable and prove the linearity of this operator [18].
LA - eng
UR - http://eudml.org/doc/266552
ER -

References

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Citations in EuDML Documents

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  1. Keiichi Miyajima, Yasunari Shidama, Riemann Integral of Functions from R into R n
  2. Bing Xie, Xiquan Liang, Hongwei Li, Partial Differentiation of Real Binary Functions
  3. Takao Inoué, Adam Naumowicz, Noboru Endou, Yasunari Shidama, Partial Differentiation, Differentiation and Continuity on n -Dimensional Real Normed Linear Spaces
  4. Hiroshi Yamazaki, Yasunari Shidama, Yatsuka Nakamura, Chanapat Pacharapokin, The Cauchy-Riemann Differential Equations of Complex Functions
  5. Bing Xie, Xiquan Liang, Xiuzhuan Shen, Second-Order Partial Differentiation of Real Binary Functions
  6. Takao Inoué, Second-Order Partial Differentiation of Real Ternary Functions
  7. Takao Inoué, Bing Xie, Xiquan Liang, Partial Differentiation of Real Ternary Functions
  8. Keiko Narita, Artur Kornilowicz, Yasunari Shidama, More on the Continuity of Real Functions
  9. Takao Inoué, Noboru Endou, Yasunari Shidama, Differentiation of Vector-Valued Functions on n -Dimensional Real Normed Linear Spaces
  10. Noboru Endou, Hiroyuki Okazaki, Yasunari Shidama, Higher-Order Partial Differentiation

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