fundamental solutions
[ˌfʌn.də.ˈmen.təl səˈluː.ʃənz]
nounpl: fundamental solutions
soluções fundamentais
1. In mathematics and physics, basic solutions to differential equations or systems of equations that serve as a basis for constructing general solutions
The fundamental solutions to the heat equation are essential for solving initial value problems.
As soluções fundamentais da equação do calor são essenciais para resolver problemas de valor inicial.
2. Core or primary answers to complex problems or systems that form the foundation for more advanced solutions
We must first identify the fundamental solutions before proceeding to special cases.
Devemos primeiro identificar as soluções fundamentais antes de prosseguir para casos especiais.
3. In linear algebra, a set of linearly independent solutions that span the solution space of a homogeneous system
The fundamental solutions of this differential equation system form a basis for all possible solutions.
As soluções fundamentais deste sistema de equações diferenciais formam uma base para todas as soluções possíveis.
This is primarily technical/academic terminology used in mathematics, physics, and engineering disciplines. It is equally understood across Brazilian Portuguese, Portuguese, and English-speaking academic communities. The term has minimal cultural variation and is standardized in scientific literature globally.
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