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LaTeX Editors/IDEs

What editors/IDEs are available for easing the process of writing TeX/LaTeX documents?

Please state some useful features like code completion, spell checking, building final DVI or PDF files, etc.

This question is undergoing a systematic refurbishment, see Let’s polish the Editors/IDEs question on Meta. If you’d like to see another editor feature covered here or to take care of an editor that’s not covered yet, share your ideas in that meta question.

###List of editors

Links to answers.