Difference of Function on Vector Space over F
Arai, Kenichi, Wakabayashi, Ken, Okazaki, Hiroyuki
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
Formalization of Orthogonal Complements of Normed Spaces
Okazaki, Hiroyuki
Probability on Finite Set and Real-Valued Random Variables
Okazaki, Hiroyuki, Shidama, Yasunari
Banach’s Continuous Inverse Theorem and Closed Graph Theorem
Sakurai, Hideki, Okazaki, Hiroyuki, Shidama, Yasunari
N-Dimensional Binary Vector Spaces
Arai, Kenichi, Okazaki, Hiroyuki
Algebra of Polynomially Bounded Sequences and Negligible Functions
Okazaki, Hiroyuki
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Orthogonal Decomposition for Hilbert Spaces
Okazaki, Hiroyuki
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Maximum Number of Steps Taken by Modular Exponentiation and Euclidean Algorithm
Okazaki, Hiroyuki, Nagao, Koh-ichi, Futa, Yuichi