noun
General term for the underlying support or fundamental part of something, often used in abstract or formal contexts.
この理論の基底には、自由な発想がある。
At the base of this theory lies free thinking.
社会の基底を支えるのは教育だ。
Education is what supports the foundation of society.
noun
In linear algebra, a set of linearly independent vectors that span a vector space.
ベクトル空間の基底を求める。
Find a basis for the vector space.
noun
base (topology); basis (topology)
In topology, a collection of open sets such that every open set can be written as a union of members of the collection.
開集合系の基底を定義する。
Define a base for the system of open sets.