Image (category theory)

Given a category C and a morphism in C, the image of f is a monomorphism satisfying the following universal property:

There exists a morphism such that .

For any object Z with a morphism and a monomorphism such that , there exists a unique morphism such that .

Remarks:

The image of f is often denoted by im f or Im(f).

One can show that a morphism f is epic if and only if f = im f.

Examples

In the category of sets the image of a morphism is the inclusion from the ordinary image to . In many concrete categories such as groups, abelian groups and (left- or right) modules, the image of a morphism is the image of the correspondent morphism in the category of sets.

In any normal category with a zero object and kernels and cokernels for every morphism, the image of a morphism can be expressed as follows:

Virtual appliance

A virtual appliance is a pre-configured virtual machine image, ready to run on a hypervisor; virtual appliances are a subset of the broader class of software appliances. Installation of a software appliance on a virtual machine and packaging that into an image creates a virtual appliance. Like software appliances, virtual appliances are intended to eliminate the installation, configuration and maintenance costs associated with running complex stacks of software.

A virtual appliance is not a complete virtual machine platform, but rather a software image containing a software stack designed to run on a virtual machine platform which may be a Type 1 or Type 2 hypervisor. Like a physical computer, a hypervisor is merely a platform for running an operating system environment and does not provide application software itself.

Many virtual appliances provide a Web page user interface to permit their configuration. A virtual appliance is usually built to host a single application; it therefore represents a new way to deploy applications on a network. Virtual machining is also a Virtual appliance in order to produce actual parts in virtual environments.

Image (board game)

Image is a board game developed by 3M released in 1971. The object of the game is to put together cards that represent an image, a description of a famous person.

External links

Mother (Blondie song)

"Mother" is the lead single from Blondie's ninth studio album Panic of Girls and was written by Kato Khandwala, Ben Phillips (Guitarist for The Pretty Reckless) and the band's lead singer Deborah Harry. It was released in the United Kingdom on May 22, 2011 on all major online platforms. It is the first single release from the band since "Good Boys" in 2003.

Background

The song was first performed in 2010 along with several other tracks from Panic of Girls during the band's Australian tour, as well as during festival appearances in the UK.

Release

On December 5, 2010 "Mother" was made available as a free download from the official Blondie website. The track was later remixed with a different vocal take for the album and single release. The track was played for the first time on March 17, 2011 on BBC Radio 2's The Ken Bruce Show. On Amazon.co.uk an explicit version was released alongside the regular one.

Artwork

The cover artwork for "Mother" was revealed on May 5, 2011. It displays a band picture digitally manipulated to resemble a Chris Berens painting, like the artwork for its parent album. Elements of the Panic of Girls cover art are used. Also the text is inspired by the original writing by Berens.

Mother (Danzig song)

"Mother" is a song by American heavy metal band Danzig. It was originally released in August 1988 as the lead single from their debut album, Danzig.

In 1993–1994, almost six years after its original release, a remixed version of the song titled "Mother '93" became a hit on radio and earned Buzz Bin rotation on MTV after a music video incorporating live footage was created to promote the band's new EP, Thrall: Demonsweatlive. During this time the single was reissued by American Recordings, with the remix title updated to "Mother '94" on later versions.

"Mother" remains Danzig's highest charting single. It peaked at number 17 on the Billboard Hot Mainstream Rock Tracks chart and 43 on the Billboard Hot 100. In the UK, the song peaked at number 62 on the singles chart.

Writing and recording

Following the success of "Mother", Glenn Danzig recalled writing the song: “I remember calling Rick Rubin in the middle of the night and telling him that I wrote an incredible song—probably the best song I'd ever written. It was the song I always wanted to write. The first time we played it, people went crazy. But I never wrote that song to make it a hit—I never wrote that way, and I still don't. I write songs so that they say something and do something, and if people like them, great—and if they don't, they don't.”

Mother (Luna Sea song)

"Mother" is the fifth single by Japanese rock band Luna Sea, released on February 22, 1995. The song reached number 5 on the Oricon singles chart. This version of "Mother" is slightly different from the album's. The B-side is a live version of "Déjàvu" recorded on December 27, 1994 at the Nippon Budokan.

Track listing

All songs written and composed by Luna Sea.

References