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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.10484 |
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| _version_ | 1866910828498780160 |
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| 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 |