Last Updated
：2025/11/21
elementary symmetric polynomial
Noun
Japanese Meaning
代数学において、n個の変数 x₁, x₂, …, xₙ に対して、(t+x₁)(t+x₂)...(t+xₙ) を展開したとき、t の各べき乗の係数として現れる対称多項式。すなわち、各項が変数の積の形をとり、全ての変数に対して順序の入れ替えに不変な性質を持つ。 / 別の表現として、n個の変数から k 個を選んで得られる全ての積の和として定義される、初等対称多項式（初等対称式）を意味する。
（ plural ）
Quizzes for review
(algebra) a coefficient of some power of t in (t+x_1)(t+x_2)⋯(t+x_n), for some n∈ N
音声機能が動作しない場合はこちらをご確認ください
See correct answer
elementary symmetric polynomial
When you expand (t + x_1)(t + x_2)⋯(t + x_n), each elementary symmetric polynomial in x_1,...,x_n appears as the coefficient of some power of t.
See correct answer
When you expand (t + x_1)(t + x_2)⋯(t + x_n), each elementary symmetric polynomial in x_1,...,x_n appears as the coefficient of some power of t.
音声機能が動作しない場合はこちらをご確認ください
English - English
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
