When Tangent Plane = Limit of Secant Plane

Fuente: arXiv
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Autore principale: Yan, Zhibin
Natura: Preprint
Pubblicazione: 2025
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_version_ 1866910828498780160
author Yan, Zhibin
author_facet Yan, Zhibin
contents For function of one variable, differentiability is equivalent to the existence of tangent line as the limit of secant line. The genuine counterpart of this equivalence for function of several variables is obtained for the first time.
format Preprint
id arxiv_https___arxiv_org_abs_2502_10484
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle When Tangent Plane = Limit of Secant Plane
Yan, Zhibin
General Mathematics
26B05, 97I60
For function of one variable, differentiability is equivalent to the existence of tangent line as the limit of secant line. The genuine counterpart of this equivalence for function of several variables is obtained for the first time.
title When Tangent Plane = Limit of Secant Plane
topic General Mathematics
26B05, 97I60
url https://arxiv.org/abs/2502.10484