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        "quote": "这种形式的函数 $g$ 被称为<u id=\"concept-13-absolutely-continuous\" class=\"concept-term\" data-concept-identity=\"urn:uuid:70bc7e53-c23f-4dca-8a30-8d362bc9f662\" data-concept-route=\"/concept-identities#concept-70bc7e53-c23f-4dca-8a30-8d362bc9f662\">绝对连续的(absolutely continuous)</u>；函数 $h$ 几乎处处都由 $g$ 唯一定义，我们可以把它写成$g$的一种导数$h(x)=g^{\\prime}(x)$ 。对于有限维情况，该定理简化为之前的陈述，$E_{\\lambda}$ 在每个特征值 $\\lambda_{i}$ 处有 $P_{i}$ 的离散跳跃。这个结果的证明并不容易。有兴趣的读者可参考 $[3,6]$ 进一步了解。",
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        "quote": "A function $g$ of this form is said to be <u class=\"concept-term\" data-concept-identity=\"urn:uuid:70bc7e53-c23f-4dca-8a30-8d362bc9f662\" data-concept-route=\"/concept-identities#concept-70bc7e53-c23f-4dca-8a30-8d362bc9f662\" id=\"first-3b76bb082e1f7ce209aa-en\">absolutely continuous</u>; the function $h$ is uniquely defined almost everywhere by $g$ and we may write it as a kind of derivative of $g$, $h(x)=g^{\\prime}(x)$ For the finite dimensional case this theorem reduces to the statement above, on setting $E _ { \\lambda }$ to have discrete jumps by $P _ { i }$ at each of the eigenvalues $\\lambda _ { i }$ . The proof of this result is not easy. The interested reader is referred to [3, 6] for details.",
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