Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Hopf Extension Theorem of Measure
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Inferior Limit, Superior Limit and Convergence of Sequences of Extended Real Numbers
Yamazaki, Hiroshi, Endou, Noboru, Shidama, Yasunari, Okazaki, Hiroyuki
Rank of Submodule, Linear Transformations and Linearly Independent Subsets of Z-module
Nakasho, Kazuhisa, Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Normal Subgroup of Product of Groups
Okazaki, Hiroyuki, Arai, Kenichi, Shidama, Yasunari
Isomorphisms of Direct Products of Finite Commutative Groups
Okazaki, Hiroyuki, Yamazaki, Hiroshi, Shidama, Yasunari