On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, 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
Conservation Rules of Direct Sum Decomposition of Groups
Nakasho, Kazuhisa, Yamazaki, Hiroshi, Okazaki, Hiroyuki, Shidama, Yasunari
Equivalent Expressions of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari