Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of the Data Encryption Standard
Okazaki, Hiroyuki, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Properties of Primes and Multiplicative Group of a Field
Arai, Kenichi, Okazaki, Hiroyuki
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Normal Subgroup of Product of Groups
Okazaki, Hiroyuki, Arai, Kenichi, Shidama, Yasunari