Isomorphism between Spaces of Multilinear Maps and Nested Compositions over Real Normed Vector Spaces
Nakasho, Kazuhisa, Futa, Yuichi
Z-modules
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Topological Properties of Real Normed Space
Nakasho, Kazuhisa, Futa, Yuichi, Shidama, Yasunari
Matrix of ℤ-module1
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Quotient Module of Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Embedded Lattice and Properties of Gram Matrix
Futa, Yuichi, Shidama, Yasunari
Torsion Z-module and Torsion-free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Nakasho, Kazuhisa, Shidama, Yasunari
Isometric Differentiable Functions on Real Normed Space
Futa, Yuichi, Endou, Noboru, Shidama, Yasunari
Submodule of free Z-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Free ℤ-module
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Formalization of Integral Linear Space
Futa, Yuichi, Okazaki, Hiroyuki, Shidama, Yasunari
Gaussian Integers
Futa, Yuichi, Okazaki, Hiroyuki, Mizushima, Daichi, Shidama, Yasunari