Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
The 3-Fold Product Space of Real Normed Spaces and its Properties
Okazaki, Hiroyuki, Nakasho, Kazuhisa
Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Finite Dimensional Real Normed Spaces are Proper Metric Spaces
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari