Continuity

Continuity or continuous may refer to:

Mathematics

OS X Yosemite

OS X Yosemite (/joʊˈsɛmᵻtiː/ yoh-SEM-it-ee) (version 10.10) is the eleventh major release of OS X, Apple Inc.'s desktop and server operating system for Macintosh computers.

OS X Yosemite was announced and released to developers on June 2, 2014 at WWDC 2014 and released to public beta testers on July 24, 2014. Yosemite was released to consumers on October 16, 2014. Following the California landmark-based naming scheme introduced with OS X Mavericks, Yosemite is named after the national park.

System requirements

All Macintosh products capable of running OS X Mountain Lion (v10.8.x) are able to run Yosemite as they have the same requirements. However, in order to take full advantage of the Handoff feature, additional minimum system requirements include a Mac with Bluetooth LE (Bluetooth 4.0). As with Mavericks and Mountain Lion, 2 GB of RAM, 8 GB of available storage, and OS X 10.6.8 (Snow Leopard) or later are required.

These are the models that are compatible with OS X Yosemite (with exceptions):

Limit (category theory)

In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products, pullbacks and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint unions, direct sums, coproducts, pushouts and direct limits.

Limits and colimits, like the strongly related notions of universal properties and adjoint functors, exist at a high level of abstraction. In order to understand them, it is helpful to first study the specific examples these concepts are meant to generalize.

Definition

Limits and colimits in a category C are defined by means of diagrams in C. Formally, a diagram of type J in C is a functor from J to C:

The category J is thought of as an index category, and the diagram F is thought of as indexing a collection of objects and morphisms in C patterned on J.

One is most often interested in the case where the category J is a small or even finite category. A diagram is said to be small or finite whenever J is.

Emi

Emi (えみ, エミ, 絵美,　恵美) is a very common feminine Japanese given name and is occasionally used as a surname.

Possible writings

Emi can be written using different kanji characters and can mean:

The given name can also be written in hiragana or katakana.

People

EMI

EMI Group Limited (originally Electric and Musical Industries), also known as EMI Music or simply EMI, was a British multinational music recording and publishing company, and electronics device and systems manufacturing company, headquartered in London, England.

At the time of its break-up in 2012 it was the fourth-largest business group and family of record labels in the recording industry and was one of the big four record companies (now the big three). Its record labels included EMI Records, Parlophone, Virgin Records, and Capitol Records. EMI Group also had a major publishing arm, EMI Music Publishing—also based in London with offices globally.

The company was once a constituent of the FTSE 100 Index, but faced financial troubles and $4 billion in debt, leading to its acquisition by Citigroup in February 2011. Citigroup's ownership was temporary, as it announced in November 2011 that it would sell its music arm to Vivendi's Universal Music Group for $1.9 billion, and EMI's publishing business to a Sony/ATV consortium for around $2.2 billion. Other members of the Sony consortium include the Estate of Michael Jackson, Blackstone, and Abu Dhabi–owned investment fund Mubadala.

ANSI escape code

In computing, ANSI escape codes (or escape sequences) are a method using in-band signaling to control the formatting, color, and other output options on video text terminals. To encode this formatting information, certain sequences of bytes are embedded into the text, which the terminal looks for and interprets as commands, not as character codes.

ANSI codes were introduced in the 1970s and became widespread in the minicomputer/mainframe market by the early 1980s. They were used by the nascent bulletin board system market to offer improved displays compared to earlier systems lacking cursor movement, leading to even more widespread use.

Although hardware text terminals have become increasingly rare in the 21st century, the relevance of the ANSI standard persists because most terminal emulators interpret at least some of the ANSI escape sequences in the output text. One notable exception is the win32 console component of Microsoft Windows.

History

Almost all manufacturers of video terminals added vendor-specific escape sequences to perform operations such as placing the cursor at arbitrary positions on the screen. One example is the VT52 terminal, which allowed the cursor to be placed at an x,y location on the screen by sending the ESC character, a y character, and then two characters representing with numerical values equal to the x,y location plus 32 (thus starting at the ASCII space character and avoiding the control characters).