https://cluster-site.onrender.com/tags/dct/ Recent content in Dct on Tenu Tech Brief Hugo -- 0.146.0 en-us Tue, 24 Feb 2026 06:02:57 +0000 https://cluster-site.onrender.com/posts/monotone-convergence-theorem/ Mon, 16 Aug 2021 14:43:34 +0000 https://cluster-site.onrender.com/posts/monotone-convergence-theorem/ • The Monotone Convergence Theorem (MCT) allows interchange of limit and integral for increasing nonnegative functions. • MCT requires pointwise a.e. convergence, measurability, an https://cluster-site.onrender.com/posts/dominated-convergence-theorem/ Mon, 16 Aug 2021 14:35:13 +0000 https://cluster-site.onrender.com/posts/dominated-convergence-theorem/ • DCT states limit and integral commute under pointwise a.e. convergence with integrable dominating function. • Requires measurable functions and existence of integrable g bounding