The classification of Fano 3-folds with torus embeddings. Zbl 0581.14028
Watanabe, Keiichi; Watanabe, Masayuki |
|
1982
|
Shock waves in dilute bubbly liquids. Zbl 0825.76395
Watanabe, M.; Prosperetti, A. |
|
1994
|
Irregular effects on the transition from regular to Mach reflection of shock waves in wind tunnel flows. Zbl 0991.76511
Sudani, N.; Sato, M.; Karasawa, T.; Noda, J.; Tate, A.; Watanabe, M. |
|
2002
|
Relative operator entropy, operator divergence, Shannon inequality. Zbl 1292.47009
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2012
|
On relations between operator valued \(\alpha\)-divergence and relative operator entropies. Zbl 1380.47016
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2015
|
The \(n\)-th relative operator entropies and the \(n\)-th operator divergences. Zbl 1443.47016
Isa, Hiroshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2020
|
Generalizations of operator Shannon inequality based on Tsallis and Rényi relative entropies. Zbl 1282.47023
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2013
|
On projective normality of space curves on a non-singular cubic surface in \(P^ 3\). Zbl 0496.14032
Watanabe, Masayuki |
|
1981
|
The \(n\)-th residual relative operator entropy \({\mathfrak{R}}^{[n]}_{x,y}(A|B)\). Zbl 1520.47038
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2021
|
Velocity and acceleration on the paths \(A\,\natural_t\,B\) and \(A\,\natural_{t, r}\,B\). Zbl 07104589
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2019
|
Extensions of Tsallis relative operator entropy and operator valued distance. Zbl 1336.47017
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2013
|
Shannon type inequalities of a relative operator entropy including Tsallis and Rényi ones. Zbl 1333.47015
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2015
|
Operator inequalities related to Young’s inequality. Zbl 1504.47036
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2022
|
Some operator divergences based on Petz-Bregman divergence. Zbl 1508.47023
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2017
|
Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075
Sasaki, S.; Hashimoto, K.; Kobayashi, R.; Itoh, K.; Iguchi, S.; Nishio, Y.; Ikemoto, Y.; Moriwaki, T.; Yoneyama, N.; Watanabe, M.; Ueda, A.; Mori, H.; Kobayashi, K.; Kumai, R.; Murakami, Y.; Müller, J.; Sasaki, T. |
|
2017
|
Density results for uniform families. Zbl 0795.05138
Frankl, P.; Watanabe, M. |
|
1994
|
The \(n\)-th residual relative operator entropy \(\mathfrak{R}^{[n]}_{x,y}(A|B)\) and the \(n\)-th operator valued divergence. Zbl 1516.47036
Tohyama, H.; Kamei, E.; Watanabe, M. |
|
2021
|
The twin circles of Archimedes in a skewed arbelos. Zbl 1070.51004
Okumura, Hiroshi; Watanabe, Masayuki |
|
2004
|
Generalized arbelos in aliquot parts: non-intersecting case. Zbl 1201.51016
Okumura, Hiroshi; Watanabe, Masayuki |
|
2009
|
The \(n\)-th operator valued divergence \(\Delta^{[n]}_{i,x}(A|B)\). Zbl 07414155
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2021
|
Theoretical study on the instability mechanism of flutter generated on a cantilevered flexible plate in three-dimensional uniform flow. Zbl 1486.74073
Hiroaki, K.; Watanabe, M. |
|
2021
|
Operator inequalities related to Young’s inequality. Zbl 1504.47036
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2022
|
The \(n\)-th residual relative operator entropy \({\mathfrak{R}}^{[n]}_{x,y}(A|B)\). Zbl 1520.47038
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2021
|
The \(n\)-th residual relative operator entropy \(\mathfrak{R}^{[n]}_{x,y}(A|B)\) and the \(n\)-th operator valued divergence. Zbl 1516.47036
Tohyama, H.; Kamei, E.; Watanabe, M. |
|
2021
|
The \(n\)-th operator valued divergence \(\Delta^{[n]}_{i,x}(A|B)\). Zbl 07414155
Tohyama, Hiroaki; Kamei, Eizaburo; Watanabe, Masayuki |
|
2021
|
Theoretical study on the instability mechanism of flutter generated on a cantilevered flexible plate in three-dimensional uniform flow. Zbl 1486.74073
Hiroaki, K.; Watanabe, M. |
|
2021
|
The \(n\)-th relative operator entropies and the \(n\)-th operator divergences. Zbl 1443.47016
Isa, Hiroshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2020
|
Velocity and acceleration on the paths \(A\,\natural_t\,B\) and \(A\,\natural_{t, r}\,B\). Zbl 07104589
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2019
|
Some operator divergences based on Petz-Bregman divergence. Zbl 1508.47023
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2017
|
Crystallization and vitrification of electrons in a glass-forming charge liquid. Zbl 1404.82075
Sasaki, S.; Hashimoto, K.; Kobayashi, R.; Itoh, K.; Iguchi, S.; Nishio, Y.; Ikemoto, Y.; Moriwaki, T.; Yoneyama, N.; Watanabe, M.; Ueda, A.; Mori, H.; Kobayashi, K.; Kumai, R.; Murakami, Y.; Müller, J.; Sasaki, T. |
|
2017
|
On relations between operator valued \(\alpha\)-divergence and relative operator entropies. Zbl 1380.47016
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2015
|
Shannon type inequalities of a relative operator entropy including Tsallis and Rényi ones. Zbl 1333.47015
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2015
|
Generalizations of operator Shannon inequality based on Tsallis and Rényi relative entropies. Zbl 1282.47023
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2013
|
Extensions of Tsallis relative operator entropy and operator valued distance. Zbl 1336.47017
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2013
|
Relative operator entropy, operator divergence, Shannon inequality. Zbl 1292.47009
Isa, Hiroshi; Ito, Masatoshi; Kamei, Eizaburo; Tohyama, Hiroaki; Watanabe, Masayuki |
|
2012
|
Generalized arbelos in aliquot parts: non-intersecting case. Zbl 1201.51016
Okumura, Hiroshi; Watanabe, Masayuki |
|
2009
|
The twin circles of Archimedes in a skewed arbelos. Zbl 1070.51004
Okumura, Hiroshi; Watanabe, Masayuki |
|
2004
|
Irregular effects on the transition from regular to Mach reflection of shock waves in wind tunnel flows. Zbl 0991.76511
Sudani, N.; Sato, M.; Karasawa, T.; Noda, J.; Tate, A.; Watanabe, M. |
|
2002
|
Shock waves in dilute bubbly liquids. Zbl 0825.76395
Watanabe, M.; Prosperetti, A. |
|
1994
|
Density results for uniform families. Zbl 0795.05138
Frankl, P.; Watanabe, M. |
|
1994
|
The classification of Fano 3-folds with torus embeddings. Zbl 0581.14028
Watanabe, Keiichi; Watanabe, Masayuki |
|
1982
|
On projective normality of space curves on a non-singular cubic surface in \(P^ 3\). Zbl 0496.14032
Watanabe, Masayuki |
|
1981
|
