Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Binary Representation of Natural Numbers
Okazaki, Hiroyuki
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Equivalent Expressions of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Cyclic Groups
Arai, Kenichi, Okazaki, Hiroyuki, Shidama, Yasunari
Double Sequences and Limits
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari