# Thread:

1. ## Question about periodicity?

Ok as we know, if $f(x+P) = f(x)$ then the function is periodic.

So if the function is not periodic, $f(x+p) = f(x)$, what it the value of p?

2. ## Re: Question about periodicity?

It's just a positive real number, for example the $f(x)=\sin(x)$ is periodic with periodicity $2\pi$ which is a positive real number.

3. ## Re: Question about periodicity?

But in that: case f(x)is periodic.

for a function not periodic , the period is a positive real number too?

4. ## Re: Question about periodicity?

Originally Posted by Fabio010
Ok as we know, if $f(x+P) = f(x)$ then the function is periodic.

So if the function is not periodic, $f(x+p) = f(x)$, what it the value of p?
If this always true $f(x+0)=f(x)~?$

5. ## Re: Question about periodicity?

So you are telling me that in not periodic functions P = 0?

6. ## Re: Question about periodicity?

If you know that $f(x)$ is not periodic but for all $x$ you have $f(x+P)=f(x)$ then $P=~?$

7. ## Re: Question about periodicity?

P = 0

so it is not periodic
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 11, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.7851361632347107, "perplexity_flag": "middle"}