Posterior Probability on Finite Set
Okazaki, Hiroyuki
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Conservation Rules of Direct Sum Decomposition of Groups
Nakasho, Kazuhisa, Yamazaki, Hiroshi, Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Cyclic Groups
Arai, Kenichi, Okazaki, Hiroyuki, Shidama, Yasunari
N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki