Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Cyclic Groups
Arai, Kenichi, Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Properties of Primes and Multiplicative Group of a Field
Arai, Kenichi, Okazaki, Hiroyuki
Formalization of Integral Linear Space
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
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
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki