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• ID : Q184743

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1. Though the example of a pendulum is a special case of periodic function because it is executing simple harmonic motion, the difference lies in how the motion is expressed mathematically.
2. If the periodic function can be represented by a sine curve, then the motion is said to be simple harmonic motion, like a weight on spring oscillating, a swing, etc.
3. That repetitive motion is the same idea that’s reflected in the steady pattern of a periodic function.
4. A periodic function is a function that repeats its values at regular intervals, for example, the trigonometric functions, which repeat at intervals of 2π radians.
5. A simple example of a periodic function is the function f {\displaystyle f} that gives the "fractional part" of its argument.
6. A possible way out is to define a periodic function on a bounded but periodic domain.
7. In the graph below is shown a periodic function with two cycles as an example.
8. Hence, Graph 2 does not represent a periodic function.
9. The applet below dynamically depicts what it means for a function to be classified as a periodic function.
10. Periodic Function A function which has a graph that repeats itself identically over and over as it is followed from left to right.
11. The theory of almost-periodic functions was initiated by H. Bohr, who developed the notion of a uniformly almost-periodic function in his study of Dirichlet series.
12. A non-periodic function does not remain self-similar for all integer multiples of its period.
13. A decaying exponential is an example of a non-periodic function.
14. The period of a periodic function is the smallest P>0 such that this holds.
15. Creating a visual representation of a periodic function in the form of a graph can help us analyze the properties of the function.
16. I thought it to be true , as everything about a periodic function repeats itself at regular intervals, and so should it's derivative .
17. If a function has a repeating pattern like sine or cosine, it is called a periodic function.

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위키데이터

• ID : Q184743