1Disassembly or dismantling; taking something apart into components. Also used for analytical breakdown of things.
古いラジオを分解して、部品を調べた。
I took apart an old radio and examined the parts.
ソフトウェアの動作を分解して原因を探った。
I broke down the software's behavior to find the cause.
文章を文法的に分解して学ぶ。
Study a sentence by parsing it grammatically.
2In chemistry, decomposition or disintegration of a substance into simpler components; includes decay or chemical breakdown.
有機物は微生物によって分解される。
Organic matter is decomposed by microorganisms.
高温で化合物が分解してガスが発生した。
The compound decomposed at high temperature and released gas.
3In mathematics, the decomposition or factorization of an expression or object into factors (e.g., matrix decomposition, factorization).
行列を対角化して分解する問題を解いた。
I solved a problem about diagonalizing and decomposing a matrix.
多項式を因数分解することも分解の一種だ。
Factoring a polynomial is also a type of decomposition.