Posterior Probability on Finite Set
Okazaki, Hiroyuki
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
Conservation Rules of Direct Sum Decomposition of Groups
Nakasho, Kazuhisa, Yamazaki, Hiroshi, Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Equivalent Expressions of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Formalization of Separable Version of Banach–Alaoglu Theorem
Okazaki, Hiroyuki, Mieno, Takehiko
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari