Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
Hopf Extension Theorem of Measure
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers
Yamazaki, Hiroshi, Endou, Noboru, Shidama, Yasunari, Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Normal Subgroup of Product of Groups
Okazaki, Hiroyuki, Arai, Kenichi, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order
Yamazaki, Hiroshi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Extended Euclidean Algorithm and CRT Algorithm
Okazaki, Hiroyuki, Aoki, Yosiki, Shidama, Yasunari