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        "quote": "设 $\\alpha : M \\to N$ 是流形 $M$ 与 $N _ { z }$ 之间的可微映射，其中 $\\dim$ $M = m$ $\\dim$ $N = n$ 。这诱导出一个映射 $\\alpha _ { * } : T _ { p } ( M ) \\to T _ { \\alpha ( p ) } ( N )$ ，称为 $\\alpha _ { : }$ 的 <u id=\"concept-15-tangent-map\" class=\"concept-term\" data-concept-identity=\"urn:uuid:a44b2072-d453-40a7-a2d1-62be9964e197\" data-concept-route=\"/concept-identities#concept-a44b2072-d453-40a7-a2d1-62be9964e197\">切映射(tangent map)</u> ，由此切向量 $Y _ { \\alpha ( p ) } = \\alpha _ { * } X _ { p }$ 定义为",
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