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Definition and Synonyms for ヒルベルト空間
1. |
ヒルベルト空間 |
線形で完備な(通常は)無限次元の距離空間 |
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Hilbert Space |
a metric space that is linear and complete and (usually) infinite-dimensional |
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Synonyms: |
ヒルベルト空間 |
Meanings for each kanji in ヒルベルト空間
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空 |
empty; sky; void; vacant; vacuum |
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間 |
interval; space |
Categories ヒルベルト空間 is a member of
1. |
距離空間 |
どの2点をとっても、その距離が対称で、三角不等式を満たす、負でない実数が存在するような点の集合 |
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Metric Space |
a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality |
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