Operations of Points on Elliptic Curve in Projective Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Posterior Probability on Finite Set
Okazaki, Hiroyuki
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari
Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi
Real Vector Space and Related Notions
Nakasho, Kazuhisa, Okazaki, Hiroyuki, Shidama, Yasunari
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Formalization of Separable Version of Banach–Alaoglu Theorem
Okazaki, Hiroyuki, Mieno, Takehiko
Polynomially Bounded Sequences and Polynomial Sequences
Okazaki, Hiroyuki, Futa, Yuichi
Isomorphisms of Direct Products of Cyclic Groups of Prime Power Order
Yamazaki, Hiroshi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki