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Both problems are fixed when operating in "tabbed mode" to be described next.
EASIEST LATEX EDITOR WINDOWS WINDOWS
In single window mode, tabbed windows were recreated as separate windows for each tab. In double window mode, some tabs were reproduced and others were not. Therefore "single window mode" and the original "double window mode" have essentially equal footing in the program. Moreover if two documents were open, the windows for these documents did not move to their old positions on the screen, but instead ended up exactly on top of each other. After restarting TeXShop, both the source and preview panes in the window did not scroll to their old spots, but instead opened at the top of the document. However, the situation when quitting and then restarting TeXShop had problems. But in both of these cases, you can immediately switch to one-window mode after typesetting using the menu command "Use One Window." There are only two situations when the old window pair must be used: when starting a new document, and when typesetting a source file sent by someone else.
EASIEST LATEX EDITOR WINDOWS UPDATE
When the script is updated, the update is available almost immediately via TeX Live Utility, but it doesn't arrive in TeXShop until a new version of the program is released. Collins also uploads the script to CTAN so it is in TeX Live. TeXShop contains the actual latexmk script, and engines which use this script. Latexmk by John Collins is supported by Herbert Schulz for TeXShop.