File:Биекция Шрёдера для трёх.jpg
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Captions
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Schroeder bijection for n = 3
Summary edit
| Description |
Русский: Если в пути Шрёдера есть хотя бы один горизонтальный шаг, лежащий на одном уровне с началом пути, рассмотрим самый левый (красный) такой шаг и, не меняя предшествующую ему (зелёную) часть, поставим следующую за ним (синюю) часть на «ножки».
Обратное преобразование очевидно: если в пути Шрёдера нет ни одного горизонтального шага, лежащего на одном уровне с началом пути, то ищем самую правую отличную от конца пути точку, лежащую на одном уровне с началом пути, откладываем от неё вправо горизонтальный шаг длины 2 и «отрезаем ножки».
English: If there is at least one horizontal step in the Schroeder path that lies at the same level as the beginning of the path, consider the leftmost (red) step and, without changing the previous (green) part, put the next (blue) part on the “legs”.
The inverse transformation is obvious: if there is not a single horizontal step in the Schroeder path that lies at the same level with the beginning of the path, then we look for the rightmost point different from the end of the path, lying at the same level as the beginning of the path, lay the horizontal step of length 2 and cut off the “legs”.
Deutsch: Wenn der Schröderpfad mindestens eine horizontale Stufe enthält, die auf derselben Höhe wie der Pfadanfang liegt, betrachten Sie den Schritt ganz links (rot) und setzen Sie den nächsten (blauen) Teil auf die „Beine“, ohne den vorherigen (grünen) Teil zu ändern. |
| Date | |
| Source | Own work |
| Author | Spivak Nicolay |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:42, 23 May 2020 | | 1,920 × 574 (153 KB) | Spivak Nicolay (talk | contribs) | Uploaded own work with UploadWizard |
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