Deligne showed, in unpublished notes expounded by Conrad, that the condition that S is Noetherian can be replaced by the condition that S is quasi-compact and quasi-separated.
Liouville's theorem | Chinese remainder theorem | Yuji Nagata | Shannon–Hartley theorem | Quillen–Suslin theorem | Nyquist–Shannon sampling theorem | Hahn–Banach theorem | Fermat's Last Theorem | Buckingham π theorem | Thue–Siegel–Roth theorem | Szemerédi's theorem | Schottky's theorem | Riemann-Roch theorem | Pythagorean theorem | Nash embedding theorem | Müntz–Szász theorem | Masayoshi Nagata | Malgrange–Ehrenpreis theorem | Linda Nagata | Kleene fixed-point theorem | Kakutani fixed-point theorem | Gauss–Bonnet theorem | Doob's martingale convergence theorem | Dirichlet's theorem on arithmetic progressions | Denjoy theorem | Birch's theorem | Wilkie's theorem | Wick's theorem | Whitney extension theorem | Weierstrass theorem |
In her choreography, Gibney has collaborated with numerous artists, including composer Ryan Lott (Son Lux), lighting designer Kathy Kaufmann, costume designers Naoko Nagata and David C. Woolard, and visualist Joshue Ott.
On November 20, 2000, Diet member Kenshiro Matsunami doused Nagata with water for suggesting that he had slept with female Diet member Chikage Ogi.
Nagata was also Director of Photography for commercials such companies as Rolex, Clinique and Honda.
Nagata was considered a leading member of the moderate Tōseiha political faction within the military, and was also regarded as an expert on Germany.
On May 3, 2010, at Wrestling Dontaku 2010 Inoue and Yuji Nagata defeated No Limit (Yujiro Takahashi and Tetsuya Naito) and Bad Intentions (Giant Bernard and Karl Anderson) in a three-way match to win the IWGP Tag Team Championship.