Search for a tool
Period of a Function

Tool to compute the period of a function. The period of a function is the lowest value t such as f(x+t)=f(x-t)=f(x).

Results

Period of a Function -

Tag(s) : Mathematics

dCode and you

dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Period of a Function tool. Thank you.

This page is using the new English version of dCode, please make comments !

# Period of a Function

## Period of a Function Calculator

Tool to compute the period of a function. The period of a function is the lowest value t such as f(x+t)=f(x-t)=f(x).

## Answers to Questions

### How to find the period of a function?

To find the period $$t$$ of a function $$f(x)$$, demonstrate that $$f(x+t)=f(x)$$

Example: $$\sin(x + 2\pi) = \sin(x)$$ so $$\sin(x)$$ is periodic of period $$2\pi$$

The most common periodic functions are trigonometric functions based on sine and cosine functions (that have a 2 pi period), so try multiples of pi for value $$t$$.

The value of the period found is also called the periodicity of the function.

If the period is equal to 0, then the function is not periodic.

### How to prove that a function is not periodic?

If $$f$$ is periodic, then it exists a real not null such as $$f(x+t)=f(x)$$ Demonstrate that it is impossible. For example with a reductio ad absurdum or performing a calculation that leads to a contradiction.

## Source code

dCode retains ownership of the source code of the script Period of a Function. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Period of a Function script for offline use, for you, your company or association, see you on contact page !

## Questions / Comments

Team dCode read all messages and answer them if you leave an email (not published). It is thanks to you that dCode has the best Period of a Function tool. Thank you.

Source : http://www.dcode.fr/period-function
© 2017 dCode — The ultimate 'toolkit' to solve every games / riddles / geocaches. dCode