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As it is obvious by title, I need to add a diagram to clarify my intuitions in some questions. How can I do it? Is there any limitation in format and size of the pictures?

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From the formatting help page:

Images can be added primarily by using the the editor toolbar button insert image toolbar button. This brings up a special interface that allows you to upload an image online (through the imgur hosting service) through us - even from your clipboard. Alternatively, it can be input similarly to adding a link:

  • HTML <img src="http://example.com/img.jpg">
  • Markdown ![sample image](http://example.com/img.jpg)
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  • $\begingroup$ Dear François, Thanks. $\endgroup$ – user36136 Oct 14 '13 at 17:11

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