Equivalent Expressions of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Banach Algebra of Bounded Complex-Valued Functionals
Kanazashi, Katuhiko, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Formalization of Separable Version of Banach–Alaoglu Theorem
Okazaki, Hiroyuki, Mieno, Takehiko
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Differentiable Functions into Real Normed Spaces
Okazaki, Hiroyuki, Endou, Noboru, Narita, Keiko, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Properties of Primes and Multiplicative Group of a Field
Arai, Kenichi, Okazaki, Hiroyuki