periodic function

[/ˌpɪəriˈɒdɪk ˈfʌŋkʃən/]
nounfemininepl: periodic functions / funções periódicas
função periódica
1. A mathematical function that repeats its values at regular intervals, where f(x + p) = f(x) for all x in the domain, where p is the period
The sine function is a periodic function with a period of 2π.
A função seno é uma função periódica com período de 2π.
2. A function whose graph repeats itself at fixed horizontal intervals
Cosine is a periodic function commonly used in trigonometry.
O cosseno é uma função periódica comumente usada em trigonometria.
3. In physics and engineering, a function that describes phenomena occurring at regular time intervals
The motion of a pendulum can be described by a periodic function.
O movimento de um pêndulo pode ser descrito por uma função periódica.
This is a formal mathematical term used identically in both Brazilian Portuguese and European Portuguese academic contexts. It is essential terminology in calculus, trigonometry, physics, and engineering courses across Portuguese-speaking universities. The concept is foundational in signal processing and wave analysis in both Brazilian and Portuguese scientific communities.
Synonyms / Sinônimos
repeating functioncyclical functionoscillating function
Antonyms / Antônimos
aperiodic functionnon-repeating functionnon-periodic function

Regional Variations

General Brazilian
função periódica
Standard mathematical terminology used in Brazilian universities and textbooks
São Paulo
função periódica
Widely used in engineering and physics departments
Rio de Janeiro
função periódica
Common in academic mathematics courses
Portugal
função periódica
Identical terminology; standard in Portuguese mathematics education

Related Words

periodamplitudefrequencytrigonometric functionFourier seriesoscillationcycle

Related Idioms & Phrases

the period of a function
fundamental period
periodic extension
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