| Information | |
|---|---|
| has gloss | eng: In mathematics, Landau's function g(n), named after Edmund Landau, is defined for every natural number n to be the largest order of an element of the symmetric group Sn. Equivalently, g(n) is the largest least common multiple (lcm) of any partition of n, or the maximum number of times a permutation of n elements can be recursively applied to itself before it returns to its starting sequence. |
| lexicalization | eng: Landau's function |
| instance of | (noun) act of changing the lineal order of objects in a group permutation |
| Meaning | |
|---|---|
| French | |
| has gloss | fra: La fonction de Landau g(n) est définie pour chaque nombre naturel n étant le plus grand ordre dun élément dun groupe symétrique Sn. De manière équivalente, g(n) est le plus grand ppcm de n'importe quel partage de n. |
| lexicalization | fra: Fonction de landau |
| Italian | |
| has gloss | ita: La funzione di Landau g(n) è definita per ogni numero naturale n che è il più grande ordine di un elemento del gruppo simmetrico Sn. Equivalentemente, g(n) è il più grande minimo comune multiplo di una qualunque partizione di n. |
| lexicalization | ita: funzione di Landau |
| Russian | |
| has gloss | rus: Функция Ландау g(n) в теории чисел, названная в честь немецкого математика Эдмунда Ландау, определяется для любого натурального числа n как наибольший порядок элемента симметрической группы S_n. |
| lexicalization | rus: Функция Ландау |
| Chinese | |
| has gloss | zho: 對於所有非負整數n,蘭道函數g(n)定義為對稱群S_n的所有元素的秩之中,最大的一個。或者說,g(n)是n的所有整數分拆之中的最小公倍數。 |
| lexicalization | zho: 蘭道函數 |
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