Formalization of the Data Encryption Standard
Okazaki, Hiroyuki, Shidama, Yasunari
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Embedded Lattice and Properties of Gram Matrix
Futa, Yuichi, Shidama, Yasunari
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Commutative Groups
Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari
Definition of Flat Poset and Existence Theorems for Recursive Call
Ishida, Kazuhisa, Shidama, Yasunari, Grabowski, Adam
Extended Euclidean Algorithm and CRT Algorithm
Okazaki, Hiroyuki, Aoki, Yosiki, Shidama, Yasunari
The Linearity of Riemann Integral on Functions from ℝ into Real Banach Space
Narita, Keiko, Endou, Noboru, Shidama, Yasunari
The Basic Existence Theorem of Riemann-Stieltjes Integral
Nakasho, Kazuhisa, Narita, Keiko, Shidama, Yasunari
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari