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In this note, some already known results on the subject of homogeneous quadratic mappings and tangent cone theorems for smooth mappings at singular points are discussed. Some new approach is put forward to re-prove a few old theorems in this area. This approach is based on a certain perturbation method.

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On the Study of Some Sufficient Conditions for the Existence of Regular Zeros of Quadratic Mappings

  • 会议论文

  • 发表日期：

    2025年

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  • Dmitry Karamzin

摘要

In this note, some already known results on the subject of homogeneous quadratic mappings and tangent cone theorems for smooth mappings at singular points are discussed. Some new approach is put forward to re-prove a few old theorems in this area. This approach is based on a certain perturbation method.