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Productivity
An overview of packages that fit the properties of the Eee PC. Packages should be lightweight, due to the limited capabilities of the Eee PC’s hardware; and also should be easily navigable without a mouse, due to the restrictions imposed on some by the trackpad.
Applications
Desktop Managers
lxde: Very lightweight desktop manager with good interface and features.
PDF Viewers
xpdf: Lightweight and has a nice fullscreen mode with zoom.
epdfview: Lightweight pdf viewer based on popular libs
Word Processors
abiword: A perfect fit for the Eee PC, it’s lightweight and lets you edit and save some standard formats (.doc, .rtf, .pdf,...) no .odt though unless you install the plugins (~10MB).
scite: Lighter-weight than abi-word. Scite is a GTK-based Programming Editor, tabbed and feature-ful.
Web browsers
iceweasel: Debian’s version of Firefox, the same in all but branding due to licensing issues. Very configurable for the small screen. Recommended is the backport of iceweasel.
netsurf: Small, but modern webbrowser in development. No tabs yet though.
links2: Lightweight Webbrowser with text-mode, SVGA and X support. No CSS support.
Opera: Non-free, efficient webbrowser with full-screen mode, needs less disk space than Iceweasel/Firefox, etc. but is faster and more featureful (if you don’t count addons).
iceweasel-vimperator: Iceweasel plugin that gives Iceweasel vim-like keybindings and removes most GUI functions.
lynx: Lightweight text-based web browser.
chromium: is debian's version of Google's Chrome and works well in the eeepc.
Chatting
ayttm: Lightweight multi-use client.
irssi: Light text only IRC client. Very extensible and scriptable.
linphone: VoIP video-phone. Like skype, but open-source. Free calls to other users, or create an account and pay for calls to house and mobile phones worldwide.
bitlbee: added to irssi or other irc client this will connect to most messengers, icq, fb, etc.
?Skype: Non-free Available and runs well. Download and install manually.
Office Work
gnumeric: Lightweight spreadsheet software which does most of the more common functions well and will cope with many formats of spreadsheet files. Depending on your system it may need a few of gnome's libs.
LibreOffice: The replacement for OpenOffice and seems to be not too big in it's basic form.
Mail/News Aggregators
mutt: Powerful, customizable e-mail client. Feature-rich, lightweight, and runs in a CLI. Quite lightweight.
rsstail: Very minimalist RSS aggregator. Acts pretty much like tail for RSS feeds.
nrss: Ncurses RSS feed aggregator. Single pane design, fast, and lightweight.
newsbeuter: Another CLI rss aggregator. Similar keybindings to mutt. Easy to navigate through quickly only using a keyboard.
canto: Flexible ncurses Atom/RSS newsreader for the console with great usability.
icedove: Mailclient based on the mozilla model firebird.
Map Applications
foxtrotgps: lightweight and fast map and gps application, keyboard shortcuts, made for small screens, offline map use of openstreetmap, openaerialmap, maps-for-free.
Screen Shots
gpe-screenshot: Lightweight and simple screenshot application.
Download & Torrent
transmission: free, lightweight BitTorrent client with GTK graphical interface.
Games
frozenbubble: lightweight game of shoot the bubbles.
Misc.
virtualbox: runs ok for small virtual machines not using X or at least minimal X. Most eeepc's have 1Gb RAM, but if that is extended the virtualisation improves dramatically.