...Therefore, if D is bounded and f is continuous including the boundary of D , then the maximum value of | f | must be taken on the boundary of D. (5) Liouville's theorem There are no regular and bounded functions on the complex plane C other than constants. In addition, the following theorem can be derived from (1). ... *Some of the terminology that mentions "Liouville's theorem" is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…したがって,Dが有界でfがDの境界も込めて連続ならば|f|の最大値はDの境界でとられなければならない。(5)リウビルの定理Liouville’s theorem 複素平面Cで正則で有界な関数は,定数以外には存在しない。 また,(1)から次の定理が導かれる。… ※「Liouville's theorem」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
...Efforts are being made to add nucleating agent...
...It is believed that this work also influenced ...
…[Tora Saburo Kawabata]. … *Some of the terminolo...
Teru wa Kyogen is also called. The origin of the w...
…When both of these environments become dry, ephe...
As descendants of Hattori no Muraji, the Hattori c...
…By providing a place for viruses to grow, cultur...
... Facilities are divided into public facilities...
〘 noun 〙① To salute by clasping the fingers of bot...
Another name for the traditional silk fabric "...
Radians are the units of plane angles, and steradi...
A haiku poet and Chinese poet of the mid-Edo peri...
… [Peripheral motor paralysis] The final effector...
It is an inflammation of the air cells in the tym...
This disease occurs in fruit trees such as peache...