If you've ever wanted to keep an eye on your computer from your smartphone whilst you're out and about, then you'll know how limited your options are. You could use a remote monitoring tool such as LogMeIn Ignition to physically control the machine, but it doesn't offer a quick overview of resources on your phone and the application costs a cent shy of $30, which isn't exactly a price that encourages impulse buying.
If you are reading this post, it's extremely likely that you have an Android device. If you have an Android, it's 100% certain that you want to pluck out your own eyeballs in rage every time you are forced to use the search feature in the Android Market. Even Market alternatives like AppBrain leave a lot to be desired, with sub-optimal search results and a less than beautiful UI. The sad fact that Google, a company that makes most of its revenue from search and ads, can't seem to provide half-decent results is what motivated the folks behind Chomp to get into Android.
Recently, Wolfram Alpha LLC dropped the official WolframAlpha app into the market. It is one of my favorite services and I purchased it ($1.99) as soon as it came out. For those not familiar, this is a clip from the "about" page of WolframAlpha to give you some idea of what this is all about:
Wolfram|Alpha's long-term goal is to make all systematic knowledge immediately computable and accessible to everyone. We aim to collect and curate all objective data; implement every known model, method, and algorithm; and make it possible to compute whatever can be computed about anything.