🇮🇹Italian Source WordCode: IT

Nilpotente

Pronunciation / Transliteration: nilpotente

🇬🇧 Direct English Meaning:
Nilpotent/ˈnɪl.pə.tənt/
adjectiveCEFR C1 (Advanced)Top #15000 frequency
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🇮🇹 Example Sentence in Italian:

"Una matrice nilpotente può semplificare i calcoli complessi."

Comprehensive Definitions & Senses

2 senses
As adjective
  1. 1

    Referring to an element of a ring or algebraic structure that, when raised to some power, results in zero.

    "In linear algebra, a nilpotent matrix can simplify complex calculations."
  2. 2

    Describing a property of certain algebraic structures where repeated application leads to a trivial result.

    "The nilpotent elements in a ring can help in understanding its structure."

Thesaurus & Semantic Spectrum

Synonyms (3)
Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

The term 'nilpotent' originates from the Latin word 'nil', meaning 'nothing', combined with the suffix '-potent', which comes from the Latin 'potentem', meaning 'powerful'. The term was first used in the context of algebra in the late 19th century to describe certain types of matrices that, when raised to a certain power, yield the zero matrix.

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