Langimage
English

linearization

|lin-ear-i-za-tion|

C1

🇺🇸

/ˌlɪniəraɪˈzeɪʃən/

🇬🇧

/ˌlɪnɪərəɪˈzeɪʃən/

make into a line / arrange in sequence

Etymology
Etymology Information

'linearization' originates from Modern English, formed by combining the adjective 'linear' and the suffix '-ization' (from French '-isation', ultimately tracing to Late Latin/Greek suffixes meaning 'to make or become').

Historical Evolution

'linear' comes from Latin 'linearis' (from 'linea' meaning 'line'); the verb-forming element '-ize' and the nominalizing '-ization' trace back to Greek '-izein' via Late Latin and Old French; these elements combined in English to form 'linearize' and then 'linearization'.

Meaning Changes

Initially the components meant 'line' and 'to make or become'; over time they combined to denote specifically the act or result of making something linear or arranging into a linear form.

Meanings by Part of Speech

Noun 1

the act or process of making something linear; converting to a linear form or representation.

The linearization of the equations made them easier to solve.

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Noun 2

in calculus and analysis, the approximation of a function near a point by a linear function (linear approximation).

We used the linearization of f at x0 to approximate values near x0.

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Noun 3

in computer science and discrete math, producing a linear order or sequence from a structure (e.g., linearizing a tree or converting a partial order into a linear extension).

The compiler performs linearization of the abstract syntax tree before code generation.

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Last updated: 2025/11/06 06:17