In this article, we shall extend the formalization of [10] to discuss higher-order partial differentiation of real valued functions. The linearity of this operator is also proved (refer to [10], [12] and [13] for partial differentiation).
@article{bwmeta1.element.doi-10_2478_v10037-012-0015-z,
author = {Noboru Endou and Hiroyuki Okazaki and Yasunari Shidama},
title = {Higher-Order Partial Differentiation},
journal = {Formalized Mathematics},
volume = {20},
year = {2012},
pages = {113-124},
zbl = {1281.46024},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0015-z}
}
Noboru Endou; Hiroyuki Okazaki; Yasunari Shidama. Higher-Order Partial Differentiation. Formalized Mathematics, Tome 20 (2012) pp. 113-124. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-012-0015-z/
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