Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Cartesian Products of Family of Real Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Formalization of the Data Encryption Standard
Okazaki, Hiroyuki, Shidama, Yasunari