random basis

[/ˈrændəm ˈbeɪsɪs/]
nounpl: random bases
base aleatória
1. In mathematics and linear algebra, a set of linearly independent vectors in a vector space chosen without a specific systematic method or predetermined pattern
The computer selected a random basis for the vector space to perform the calculations.
O computador selecionou uma base aleatória para o espaço vetorial para realizar os cálculos.
2. A foundation or starting point for analysis or decision-making that is selected arbitrarily or by chance rather than through deliberate planning
We started our analysis on a random basis and then refined our approach.
Começamos nossa análise em uma base aleatória e depois refinamos nossa abordagem.
This is primarily a technical term used in mathematics, computer science, and engineering fields. It is more common in academic and professional contexts than in everyday conversation. Both Brazil and Portugal use identical terminology for this mathematical concept.
Synonyms / Sinônimos
arbitrary basishaphazard foundationchance selectionunsystematic starting point
Antonyms / Antônimos
systematic basisplanned foundationdeliberate basisstructured foundation

Regional Variations

General Brazilian
base aleatória
Standard mathematical terminology used in academic and technical contexts
Portugal
base aleatória
Same terminology used in Portuguese mathematics education and research

Related Words

vector spacelinear independenceorthogonal basisbasis selectionrandom selectionmathematical foundation

Related Idioms & Phrases

on a random basis (meaning: arbitrarily or without planning)
random selection (meaning: choosing without predetermined criteria)
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