Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Higher-Order Partial Differentiation
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
Okazaki, Hiroyuki, Shidama, Yasunari
Cartesian Products of Family of Real Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers
Yamazaki, Hiroshi, Endou, Noboru, Shidama, Yasunari, Okazaki, Hiroyuki
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
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
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
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