N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Cartesian Products of Family of Real Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Properties of Primes and Multiplicative Group of a Field
Arai, Kenichi, Okazaki, Hiroyuki