Английская Википедия:Eutactic lattice

Материал из Онлайн справочника
Версия от 08:07, 5 марта 2024; EducationBot (обсуждение | вклад) (Новая страница: «{{Английская Википедия/Панель перехода}} {{Short description|Set of points in Euclidean space}} In mathematics, a '''eutactic lattice''' (or '''eutactic form''') is a lattice in Euclidean space whose minimal vectors form a eutactic star. This means they have a set of positive '''eutactic coefficients''' ''c''<sub>''i''</sub> such that (''v'', ''v'') = Σ''c''<sub>''i''</sub>(''v'',&n...»)
(разн.) ← Предыдущая версия | Текущая версия (разн.) | Следующая версия → (разн.)
Перейти к навигацииПерейти к поиску

Шаблон:Short description In mathematics, a eutactic lattice (or eutactic form) is a lattice in Euclidean space whose minimal vectors form a eutactic star. This means they have a set of positive eutactic coefficients ci such that (vv) = Σci(vmi)2 where the sum is over the minimal vectors mi. "Eutactic" is derived from the Greek language, and means "well-situated" or "well-arranged".

Шаблон:Harvtxt proved that a lattice is extreme if and only if it is both perfect and eutactic.

Шаблон:Harvtxt summarize the properties of eutactic lattices of dimension up to 7.

References