infinite algorithm
[ɪnˈfɪnɪt ˈælɡərɪðəm]
nounpl: infinite algorithms
algoritmo infinito
1. A computational procedure that does not terminate or complete in a finite number of steps, either by design or due to a logical error
The program contains an infinite algorithm that continuously loops without ever reaching a stopping condition.
O programa contém um algoritmo infinito que executa continuamente sem nunca atingir uma condição de parada.
2. A mathematical or computational process that generates an unbounded sequence of operations or values
The infinite algorithm generates digits of pi indefinitely without repeating.
O algoritmo infinito gera dígitos de pi indefinidamente sem repetição.
3. In formal mathematics, a procedure that theoretically continues without bound to produce increasingly precise results
Newton's method can be viewed as an infinite algorithm that refines approximations to a root.
O método de Newton pode ser visto como um algoritmo infinito que refina aproximações de uma raiz.
This term is primarily used in technical and academic contexts in both Brazil and the USA. In Brazilian universities and tech companies, it's a standard term in computer science curricula. The concept is crucial for understanding computational limits and the halting problem, which is foundational in theoretical computer science education.
Related Idioms & Phrases
caught in an infinite loop
the algorithm never terminates
an endless cycle of computation
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