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Most images should use [[File:Name|thumb|alt=Alt|Caption]] and not specify a size. The other details: are optional and; can be placed in any order, except for Caption that has to be the last parameter. Type thumb (or thumbnail; either can be followed by =filename), frame (or framed), or frameless. Displays the image with specific formatting ...
MediaWiki stores rendered formulas in a cache so that the images of those formulas do not need to be created each time the page is opened by a user. To force the rerendering of all formulas of a page, you must open it with the getter variables action=purge&mathpurge=true. Imagine for example there is a wrong rendered formula in the article Integral
The <math> tag is best for the complex formula on its own line in an image format. If you use this tag to put a formula in the line with text, put it in the {{ nowrap }} template. The {{ math }} template uses HTML , and will size-match a serif font, and will also prevent line-wrap.
Free images that can be reused commercially and modified are preferred. Non-free images may sometimes be used, but only in certain circumstances. Wikimedia Commons accepts only free images, which can then be used by any of the other Wikimedia projects. To use an image in an article, insert: [[File:Image name.jpg|thumb|Caption for the image]].
The previous image may have incorrect image syntax, especially an incomplete ]] at the end; The capitalization in the wikicode must be followed; thus if an image file is Image:Photo of Wikipede.JPG, you will need to use the capital letters for "JPG". The image is blacklisted on MediaWiki:Bad image list.
For a guide to displaying mathematical equations and formulas, see Help:Displaying a formula; For a guide to editing, see Wikipedia:Contributing to Wikipedia; For an overview of commonly used style guidelines, see Wikipedia:Simplified Manual of Style; For a page on how to use Wikipedia in bite-sized morsels, see Wikipedia:Tips
An image sometimes includes a familiar object to communicate scale. Such fiducial markers should be as culturally universal and standardized as possible: rulers, matches, batteries, pens/pencils, footballs (soccer balls), people and their body parts, vehicles, and famous structures such as the Eiffel Tower are good choices, but many others are possible.
An image that would otherwise overwhelm the text space available within a 1024×768 window should generally be formatted as described in relevant formatting guidelines (e.g. WP:IMAGESIZE, MOS:IMGSIZE, Help:Pictures § Panoramas). Try to harmonize the sizes of images on a given page in order to maintain visual coherence.