Definition and Properties of Direct Sum Decomposition of Groups1
Nakasho, Kazuhisa, Yamazaki, Hiroshi, Okazaki, Hiroyuki, Shidama, Yasunari
Torsion Part of ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Constructing Binary Huffman Tree
Okazaki, Hiroyuki, Futa, Yuichi, Shidama, Yasunari
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari