uncountable solutions
[/ʌnˈkaʊntəbəl səˈluːʃənz/]
noun phrase
soluções incontáveis
1. An infinite set of solutions to an equation or system of equations that cannot be enumerated or counted individually
The linear equation has uncountable solutions when the two lines are identical.
A equação linear tem soluções incontáveis quando as duas retas são idênticas.
2. In mathematics, solutions that form a continuous set rather than discrete points
When solving the differential equation, we obtained uncountable solutions representing different initial conditions.
Ao resolver a equação diferencial, obtivemos soluções incontáveis representando diferentes condições iniciais.
This is primarily academic mathematical terminology used in educational settings across English-speaking and Portuguese-speaking countries. It appears frequently in university mathematics courses, engineering programs, and scientific publications. The term reflects the technical language of higher mathematics education and is not typically used in everyday conversation.
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