different between normalizer vs normalize

English

Etymology

normalize +? -er

Noun

normalizer (plural normalizers)

1. one who normalizes, fits to a norm or standard etc.
2. (algebra) The subset of elements of some group which leave some given subset invariant when conjugating it.

   In symbols, the normalizer of some subset ${\displaystyle S}$ of group ${\displaystyle G}$ is the subset ${\displaystyle N(S)=\{g\in G|g^{-1}Sg=S\}}$, so that ${\displaystyle S}$ would be a normal subgroup if ${\displaystyle N(S)}$ were the whole group.

Translations

Related terms

• normalization

English

Alternative forms

• normalise (British)

Etymology

normal +? -ize

Pronunciation

• (Received Pronunciation) IPA^(key): /?n??.m?.la?z/
• (General American) IPA^(key): /?n??.m?.la?z/
• Rhymes: -??(?)m?la?z
• Hyphenation: nor?mal?ize

Verb

normalize (third-person singular simple present normalizes, present participle normalizing, simple past and past participle normalized)

1. (transitive) To make normal, to make standard.

2. (transitive) To format in a standardized manner, to make consistent.

3. (transitive, statistics) To reduce the variations by excluding irrelevant aspects.

4. (rail transport, transitive) To return a set of points (switches) to the normal position.

   Antonym: reverse

5. (rail transport, intransitive, of points) To return to the normal position from the reverse position.

   Antonym: reverse

6. (transitive, computing, databases) To subject to normalization; to eliminate redundancy in (a model for storing data).

   Hyponym: canonicalize

7. (transitive, mathematics) To divide a vector by its magnitude to produce a unit vector.

Related terms

Translations

Portuguese

Verb

normalize

1. first-person singular (eu) present subjunctive of normalizar
2. third-person singular (ele and ela, also used with você and others) present subjunctive of normalizar
3. third-person singular (você) affirmative imperative of normalizar
4. third-person singular (você) negative imperative of normalizar