Last Updated：2025/11/26
Sentence
最小値をとる元が存在することを保証するために、位相空間上でエネルギー汎関数が下半連続であると仮定する。
Quizzes for review
To guarantee the existence of a minimizer, we assume the energy functional is lower semi-continuous on the topological space.
See correct answer
To guarantee the existence of a minimizer, we assume the energy functional is lower semi-continuous on the topological space.
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Related words
lower semi-continuous
Adjective
not-comparable
of a real-valued function on a topological space
Japanese Meaning
ある位相空間上の実数値関数 f が、任意の実数 c に対して f⁻¹((−∞, c])（すなわち、関数値が c 以下となる点全体の集合）が閉集合となるとき、その関数は「下半連続」であると言う。
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