“dominated convergence theorem”的概念、定义、翻译、参考文献-科学参考

单词	dominated convergence theorem
释义	dominated convergence theorem Mathematics Let f_n:ℝ→ℝ be a sequence of (Lebesgue) integrable functions which converge pointwise to f. Suppose further than \|f_n\|≤g for all n where g is integrable. Then f is integrable and $\int f d x = lim_{n \to \infty} \int f_{n} d x .$ The theorem is not true of Riemann integrals as the Dirichlet function is a pointwise limit of integrable functions which is not itself Riemann integrable.
随便看	frequency multiplier frequency polygon frequency pulling frequency range frequency response frequency-response characteristic regulator regulator gene Regulators (1764–71) regulatory agency regulatory capital regulatory capture regulatory enzyme regulatory genes Regulus rehydration station Reich Reichenbach, Hans (1891–1953) Reich, Ferdinand Reichstag Reichstein, Tadeus Reid, Harry Fielding (1849–1944) Reid, Nancy Margaret (1953) Reid, Sir George Houstoun (1845–1918) Reid, Thomas (1710–96)

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