Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
More on Continuous Functions on Normed Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
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
Normal Subgroup of Product of Groups
Okazaki, Hiroyuki, Arai, Kenichi, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari