Synonyms in Detail: indecomposable and irreducible Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

indecomposable

Example

The matrix is indecomposable since it cannot be factored into smaller matrices. [indecomposable: adjective]

Example

Water is an indecomposable substance since it cannot be broken down into simpler substances. [indecomposable: adjective]

irreducible

Example

The polynomial equation is irreducible since it cannot be factored into simpler equations. [irreducible: adjective]

Example

Diamond is an irreducible substance since it cannot be broken down into simpler substances by any means. [irreducible: adjective]

Good things to know

Which word is more common?

Irreducible is more commonly used than indecomposable in everyday language, especially in the field of chemistry.

Whatโ€™s the difference in the tone of formality between indecomposable and irreducible?

Both indecomposable and irreducible are formal words used primarily in technical fields such as mathematics and chemistry.

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