In addition to these six main categories, there exists a large class of works that might be denominated "special-purpose" biography.
A full triangulated subcategory ({mathcal {D}}_0 subset {mathcal {D}}) in a triangulated category ({mathcal {D}}) is right-localizing if for any (E in {mathcal {D}}), there exists a filtered small category I and a cofinal functor (I rightarrow W(E)), and left-localizing if ({mathcal {D}}^o_0 subset {mathcal {D}}^o) is right-localizing.
Even if we do not think of a category system as providing a realist inventory of all that exists, a system of categories laid out in the descriptivist spirit provides a framework within which existence questions can be answered in a systematic and wholesale way, by enumerating categories so that we can then undertake further investigations into whether or not there really is anything of each kind.
"It's a whole new class of light-driven energy generation that exists in a category of microbes that's really abundant," he said.
The eDGe exists in a category all by itself, because it does an awful lot more than just an e-reader or just a netbook.
Discovery currently exists as a category of Internet services and apps, as well as a functional feature in some content-specific platforms (e.g., Spotify and Snapchat).
When you search in the Photos app on iPhone, it shows what you searched for (if it exists) as a "category".
There exists a special, if unwritten, category for receivers like him.
In simultaneous-entry category, the competing firms simultaneously decide on their facility's location, whereas in the sequential-entry category there exists a priority among competing firms in the market that can react to entrance of new firms.
It signifies the moment to moment reality in virtue of which everything exists, a process that Whitehead's category of creativity describes as the many becoming one, and as increased by one.
Before that, Shapiro notes, middle age "didn't even exist as a category".
