Image (category theory)
Given a category C and a morphism
in C, the image of f is a monomorphism 
satisfying the following universal property:
such that 
.
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
Toi
Toi or TOI may refer to:
toi
Toi (song)
"Toi" (English translation: "You") was the Luxembourgish entry in the Eurovision Song Contest 1975, performed in French by Irish singer Geraldine. The entry had a high pedigree, being penned by three authors/composers who had all written/composed previous Eurovision winners. Pierre Cour had been partly responsible for the 1960 winner "Tom Pillibi" and Bill Martin and Phil Coulter had created the 1967 winner "Puppet on a String".
The song is a ballad, with Geraldine telling her lover that "my life doesn't exist without you" and pledging her unending love to him. Geraldine recorded the song in two languages; French and her mother tongue English, the latter as "You".
Another singer with a similar name, Géraldine, represented Switzerland in the 1967 Eurovision Song Contest in Vienna, finishing last with 'nul points', but as John Kennedy O'Connor's The Eurovision Song Contest - The Official History notes, despite the similarity in name, the two singers are unique. This Geraldine later married the song's composer, Phil Coulter.
Tou
King Tou or Toi is the name of a king of Hamath, a city located in Syria. He is only mentioned in 2 Samuel 8:9-10 and 1 Chronicles 18:9-10. According to sources Ugarit Forschungen and Semitica wrote "Leading journals recently wrote on the discovery of eight significant sites in Turkey and northern Syria which revealed the existence of a large Philistine kingdom under the rule of Tai(ta) of Hamath."
Biblical text (KJV)
9 Now when Tou king of Hamath heard how David had smitten all the host of Hadarezer king of Zobah;
10 He sent Joram his son to king David, to enquire of his welfare, and to congratulate him, because he had fought against Hadarezer, and smitten him; (for Hadarezer had war with Tou;) and with him all manner of vessels of gold and silver and brass.
Sources
Analysis
The text tells that King David successfully defeated an enemy of Tou's, Hadarezer, the king of Zobah. To congratulate David (and remind him that he was friendly to David), he sent his son Hadoram as an ambassador and with him a (presumably) large tribute, made mostly up of vessels of gold and silver and brass. David added them to the Temple treasury, after rededicating them.
Japanese mon (currency)
The mon (文) was a currency of Japan from the Muromachi period in 1336, until 1870. The Chinese character for mon is 文 and the character for currency was widely used in the Chinese-character cultural sphere, e.g. Chinese wen and Korean mun. Coins denominated in mon were cast in copper or iron and circulated alongside silver and gold ingots denominated in shu, bu and ryō, with 4000 mon = 16 shu = 4 bu = 1 ryo. The yen replaced these denominations in 1870. However, its usage continued at least into 1871, as the first Japanese stamps, issued in that year, were denominated in mon.
History
Mon coins were holed, allowing them to be strung together on a piece of string.
Through Japanese history, there were many different styles of currency of many shapes, styles, designs, sizes and materials, including gold, silver, bronze, etc.
See also
Currencies with the same etymology
References
Further reading
Podcasts:
