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        "quote": "这种向量 $v$ 的分量的变换规律有时被称为分量的<u id=\"concept-3-contravariant\" class=\"concept-term\" data-concept-identity=\"urn:uuid:79d0e08a-17dd-4d77-a721-5b936ec5fc47\" data-concept-route=\"/concept-identities#concept-79d0e08a-17dd-4d77-a721-5b936ec5fc47\">逆变变换律(contravariant)</u>，这是一个奇特且略显陈旧、可能有悖常理的术语。方程 (3.17) 应被视为一种“<u id=\"concept-3-passive-transformation\" class=\"concept-term\" data-concept-identity=\"urn:uuid:695999e5-a66d-4ad1-8aab-178887ad28d1\" data-concept-route=\"/concept-identities#concept-695999e5-a66d-4ad1-8aab-178887ad28d1\">被动(passive transformation)</u>”变换，因为只有向量的分量发生变化，而物理向量本身不变。另一方面，向量空间的线性变换 $S : V \\to V$ 可被视为使实际向量发生移动，因此被称为“<u id=\"concept-3-active-transformation\" class=\"concept-term\" data-concept-identity=\"urn:uuid:f37c195f-7103-4aa4-968c-6fbb8cd23223\" data-concept-route=\"/concept-identities#concept-f37c195f-7103-4aa4-968c-6fbb8cd23223\">主动(active transformation)</u>”变换。",
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