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How to say "Eigenvalue" in Japanese

Both words can translate to "eigenvalue", but which should you choose?

Japanese Option A

固有値分解

こゆうちぶんかい (koyuuchibunnkai)
C2 / CEFR Syllabus
VS
Japanese Option B

固有値と固有ベクトル

こゆうちとこゆうベクトル (koyuuchi to koyuubekutoru)
C2 / CEFR Syllabus

Nuance Contrast & Translation Difference

When translating "eigenvalue" into Japanese, you must choose carefully between 固有値分解 and 固有値と固有ベクトル. In Japanese, 固有値分解 (こゆうちぶんかい (koyuuchibunnkai)) is typically associated with "eigenvalue decomposition" (Syllabus Level: C2) and represents Essential structural term in CEFR C2 vocabulary syllabus.. On the other hand, 固有値と固有ベクトル (こゆうちとこゆうベクトル (koyuuchi to koyuubekutoru)) maps to "eigenvalue and eigenvector" (Syllabus Level: C2) and represents Essential structural term in CEFR C2 vocabulary syllabus.. A literal translation of "eigenvalue" can often sound unnatural to native Japanese speakers if mixed up!
Bilingual Context for "固有値分解"
私は固有値分解に興味があります。
I am interested in eigenvalue decomposition.
Bilingual Context for "固有値と固有ベクトル"
私は固有値と固有ベクトルに興味があります。
I am interested in eigenvalue and eigenvector.

Nuance Mastery Quiz

Which Japanese word perfectly fits this blank space?

Fill in the blank: "私は ___ に興味があります。" (Meaning: "I am interested in eigenvalue decomposition.")
🎉 Correct Answer!

Remember: "固有値分解" fits here because it means "eigenvalue decomposition" in the context of: "I am interested in eigenvalue decomposition.". "固有値と固有ベクトル" represents "eigenvalue and eigenvector".

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