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        "quote": "构成协变向量场的分量，称为其微分 $\\mathrm{d}f$（见第 15 章）。这一概念可以推广为作用于所有微分形式的映射，$d$：$\\Lambda ( M ) \\to \\Lambda ( M )$，称为 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:245d07b1-e2d8-46ce-86c4-13d7dff9755f\" data-concept-route=\"/concept-identities#concept-245d07b1-e2d8-46ce-86c4-13d7dff9755f\" id=\"first-5a3376d5c2162d6914d8-zh\">外微分(exterior derivative)</u>，使得 $d \\Lambda _ { r } ( M ) \\subseteq \\Lambda _ { ( r + 1 ) } ( M )$ 并满足以下条件：",
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        "quote": "forms the components of a covariant vector field known as its differential $\\mathrm{d}f$ (see Chapter 15). This concept may be extended to a map on all differential forms, $d$ : $\\Lambda ( M ) \\to \\Lambda ( M )$ called the <u class=\"concept-term\" data-concept-identity=\"urn:uuid:245d07b1-e2d8-46ce-86c4-13d7dff9755f\" data-concept-route=\"/concept-identities#concept-245d07b1-e2d8-46ce-86c4-13d7dff9755f\" id=\"first-5a3376d5c2162d6914d8-en\">exterior derivative</u>, such that $d \\Lambda _ { r } ( M ) \\subseteq \\Lambda _ { ( r + 1 ) } ( M )$ and satisfying the following conditions:",
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