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Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/identity_of_two_random_variables/</guid><description/></item><item><title>行列の形</title><link>https://i-obayashi.info/math_memo/linear_algebra/shape_of_matrix/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/shape_of_matrix/</guid><description/></item><item><title>π-λ 定理</title><link>https://i-obayashi.info/math_memo/probability_theory/pi_lambda_theorem/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/pi_lambda_theorem/</guid><description/></item><item><title>基底</title><link>https://i-obayashi.info/math_memo/linear_algebra/basis/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/basis/</guid><description/></item><item><title>基底の取り替え</title><link>https://i-obayashi.info/math_memo/linear_algebra/change_of_basis/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/change_of_basis/</guid><description/></item><item><title>行列の基本変形</title><link>https://i-obayashi.info/math_memo/linear_algebra/elementary_matrix_operations/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/elementary_matrix_operations/</guid><description/></item><item><title>正則行列</title><link>https://i-obayashi.info/math_memo/linear_algebra/regular_matrix/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/regular_matrix/</guid><description/></item><item><title>対角化</title><link>https://i-obayashi.info/math_memo/linear_algebra/diagonalization/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/diagonalization/</guid><description/></item><item><title>ケーリー・ハミルトンの定理</title><link>https://i-obayashi.info/math_memo/linear_algebra/cayley_hamilton_theorem/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/cayley_hamilton_theorem/</guid><description/></item><item><title>上半三角化</title><link>https://i-obayashi.info/math_memo/linear_algebra/upper_triangulation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/upper_triangulation/</guid><description/></item><item><title>確率変数が生成するσ-代数</title><link>https://i-obayashi.info/math_memo/probability_theory/sigma_algebra_generated_by_random_variable/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/sigma_algebra_generated_by_random_variable/</guid><description/></item><item><title>ジョルダン標準形</title><link>https://i-obayashi.info/math_memo/linear_algebra/jordan_normal_form/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/jordan_normal_form/</guid><description/></item><item><title>複数の確率変数で生成されるσ-代数</title><link>https://i-obayashi.info/math_memo/probability_theory/sigma_algebra_generated_by_multiple_random_variables/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/sigma_algebra_generated_by_multiple_random_variables/</guid><description/></item><item><title>条件付き期待値の定義</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation/</guid><description/></item><item><title>行列のノルム</title><link>https://i-obayashi.info/math_memo/linear_algebra/matrix_norm/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/matrix_norm/</guid><description/></item><item><title>指数行列</title><link>https://i-obayashi.info/math_memo/linear_algebra/matrix_exponential/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/matrix_exponential/</guid><description/></item><item><title>条件付き期待値の線形性</title><link>https://i-obayashi.info/math_memo/probability_theory/linearity_of_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/linearity_of_conditional_expectation/</guid><description/></item><item><title>可換な行列の指数行列</title><link>https://i-obayashi.info/math_memo/linear_algebra/commutativity_and_matrix_exponential/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/commutativity_and_matrix_exponential/</guid><description/></item><item><title>定値確率変数の条件付き期待値は定値</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_of_constant_random_variable/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_of_constant_random_variable/</guid><description/></item><item><title>条件付き期待値の条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_of_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_of_conditional_expectation/</guid><description/></item><item><title>条件付き期待値の順序の保存</title><link>https://i-obayashi.info/math_memo/probability_theory/preserving_the_order_of_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/preserving_the_order_of_conditional_expectation/</guid><description/></item><item><title>条件付き期待値の単調収束定理</title><link>https://i-obayashi.info/math_memo/probability_theory/monotone_convergence_theorem_on_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/monotone_convergence_theorem_on_conditional_expectation/</guid><description/></item><item><title>G-可測な確率変数の条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/identity_on_conditional_expectation_of_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/identity_on_conditional_expectation_of_conditional_expectation/</guid><description/></item><item><title>分割から生成されるσ-代数に対する条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_on_a_partition/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_on_a_partition/</guid><description/></item><item><title>スペクトルとレゾルベント</title><link>https://i-obayashi.info/math_memo/linear_algebra/resolvent/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/resolvent/</guid><description/></item><item><title>条件付き確率</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_probability/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_probability/</guid><description/></item><item><title>部分σ-代数に対する条件付き確率の妥当性</title><link>https://i-obayashi.info/math_memo/probability_theory/validity_of_conditional_probability/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/validity_of_conditional_probability/</guid><description/></item><item><title>確率変数が生成するσ-代数による条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_on_a_sigma_algebra_generated_by_random_variable/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/conditional_expectation_on_a_sigma_algebra_generated_by_random_variable/</guid><description/></item><item><title>ドゥーブ・ディンキンの補題</title><link>https://i-obayashi.info/math_memo/probability_theory/doob_dynkin_lemma/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/doob_dynkin_lemma/</guid><description/></item><item><title>期待値のL2内積と条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/l2_inner_product_and_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/l2_inner_product_and_conditional_expectation/</guid><description/></item><item><title>確率変数の独立性と条件付き期待値</title><link>https://i-obayashi.info/math_memo/probability_theory/independence_of_random_variables_and_conditional_expectation/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/independence_of_random_variables_and_conditional_expectation/</guid><description/></item><item><title>ヴァンデルモンド行列</title><link>https://i-obayashi.info/math_memo/linear_algebra/vandermonde_matrix/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/linear_algebra/vandermonde_matrix/</guid><description/></item><item><title>確率変数の交換可能性</title><link>https://i-obayashi.info/math_memo/probability_theory/exchangeability/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/math_memo/probability_theory/exchangeability/</guid><description/></item><item><title>交換可能σ-代数</title><link>https://i-obayashi.info/math_memo/probability_theory/exchangeable_sigma_algebra/</link><pubDate>Mon, 01 Jan 0001 00:00:00 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Obayashi)</author><guid>https://i-obayashi.info/blog/2024-03-31-gnome-keyring/</guid><description/></item><item><title>Activities</title><link>https://i-obayashi.info/activities/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/activities/</guid><description/></item><item><title>Curriculum Vitae</title><link>https://i-obayashi.info/cv/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/cv/</guid><description/></item><item><title>Graduate student program</title><link>https://i-obayashi.info/looking_for_joining_our_research_group_en/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/looking_for_joining_our_research_group_en/</guid><description/></item><item><title>Obayashi Laboratory</title><link>https://i-obayashi.info/looking_for_joining_our_research_group/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/looking_for_joining_our_research_group/</guid><description/></item><item><title>Publication list</title><link>https://i-obayashi.info/publications/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/publications/</guid><description/></item><item><title>Software</title><link>https://i-obayashi.info/software/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/software/</guid><description/></item><item><title>Talks list</title><link>https://i-obayashi.info/talks/</link><pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate><author>obayashi@okayama-u.ac.jp (Ippei Obayashi)</author><guid>https://i-obayashi.info/talks/</guid><description/></item></channel></rss>