update notations and fix typos
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@@ -95,7 +95,7 @@ $$
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Same for $U(P_k,f,\alpha)\geq U(P_{k-1},f,\alpha)$.
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EOP
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QED
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#### Theorem 6.5
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@@ -119,4 +119,4 @@ $$
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\underline{\int_a^b}f(x)d\alpha\leq \sup_{P_1}L(P_1,f,\alpha)\leq \inf_{P_2}U(P_2,f,\alpha)=\overline{\int_a^b}f(x)d\alpha
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$$
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EOP
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QED
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