math105-s22:notes:lecture_15
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math105-s22:notes:lecture_15 [2022/03/08 08:28] pzhou |
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| ====== Lecture 15 ====== | ====== Lecture 15 ====== | ||
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| Last time, we considered the (long and hard) Lebesgue density theorem, which says, given any Lebesgue locally integrable function $f: \R^n \to \R$, then for almost all $p$, the density $\delta(p, | Last time, we considered the (long and hard) Lebesgue density theorem, which says, given any Lebesgue locally integrable function $f: \R^n \to \R$, then for almost all $p$, the density $\delta(p, | ||
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| Since $\epsilon$ is arbitrary, we do get $H(a)=H(b)$. | Since $\epsilon$ is arbitrary, we do get $H(a)=H(b)$. | ||
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| + | I will leave Pugh section 10 for presentation project. | ||
math105-s22/notes/lecture_15.1646728138.txt.gz · Last modified: 2026/02/21 14:43 (external edit)
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