Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Real Vector Space and Related Notions
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
The Ck Space
Kanazashi, Katuhiko, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order
Yamazaki, Hiroshi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki