Operations of Points on Elliptic Curve in Affine Coordinates
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Hopf Extension Theorem of Measure
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Posterior Probability on Finite Set
Okazaki, Hiroyuki
On the Formalization of Gram-Schmidt Process for Orthonormalizing a Set of Vectors
Okazaki, Hiroyuki
Formalization of the Advanced Encryption Standard. Part I
Arai, Kenichi, Okazaki, Hiroyuki
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Higher-Order Partial Differentiation
Endou, Noboru, Okazaki, Hiroyuki, Shidama, Yasunari
Uniqueness of Factoring an Integer and Multiplicative Group Z/pZ*
Okazaki, Hiroyuki, Shidama, Yasunari
Random Variables and Product of Probability Spaces
Okazaki, Hiroyuki, Shidama, Yasunari
Probability on Finite and Discrete Set and Uniform Distribution
Okazaki, Hiroyuki
Probability Measure on Discrete Spaces and Algebra of Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari