degenerate solution
[/dɪˈdʒɛnərət səˈluːʃən/]
nounpl: degenerate solutions
solução degenerada
1. In mathematics and optimization, a solution to a problem that satisfies the constraints but has special or atypical properties, often with multiple optimal solutions or reduced dimensionality
The linear programming problem resulted in a degenerate solution where multiple corner points yielded the same optimal value.
O problema de programação linear resultou em uma solução degenerada onde múltiplos pontos de canto produziram o mesmo valor ótimo.
2. In differential equations, a solution that represents a limiting case or boundary condition rather than a generic solution
The degenerate solution of the differential equation occurred when the parameter approached zero.
A solução degenerada da equação diferencial ocorreu quando o parâmetro se aproximou de zero.
3. A solution that fails to be unique or exhibits redundancy in its representation
Due to symmetry in the system, we encountered a degenerate solution with infinite solutions.
Devido à simetria no sistema, encontramos uma solução degenerada com infinitas soluções.
This is primarily a technical term used in mathematics, operations research, and engineering fields. It is equally used in Brazilian Portuguese and European Portuguese academic contexts. The term has no colloquial equivalent and maintains its specialized meaning across all variants of Portuguese.
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