Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Cartesian Products of Family of Real Linear Spaces
Okazaki, Hiroyuki, Endou, Noboru, Shidama, Yasunari
Set of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Higher-Order Partial Differentiation
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
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
Functional Space C(ω), C0(ω)
Kanazashi, Katuhiko, Okazaki, Hiroyuki, Shidama, Yasunari
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order
Yamazaki, Hiroshi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari