Hamming space

In statistics and coding theory, a Hamming space is usually the set of all binary strings of length N. It is used in the theory of coding signals and transmission.

More generally, a Hamming space can be defined over any alphabet (set) Q as the set of words of a fixed length N with letters from Q. If Q is a finite field, then a Hamming space over Q is an N-dimensional vector space over Q. In the typical, binary case, the field is thus GF(2) (also denoted by Z₂).

In coding theory, if Q has q elements, then any subset C (usually assumed of cardinality at least two) of the N-dimensional Hamming space over Q is called a q-ary code of length N; the elements of C are called codewords. In the case where C is a linear subspace of its Hamming space, it is called a linear code. A typical example of linear code is the Hamming code. Codes defined via a Hamming space necessarily have the same length for every codeword, so they are called block codes when it is necessary to distinguish them from variable-length codes that are defined by unique factorization on a monoid.

Code (album)

Code (stylized as C O D E) is an album by British electronic band Cabaret Voltaire. The track "Don't Argue" was released as a single, as was "Here To Go".

The lyrics (and title) of "Don't Argue" incorporate verbatim a number of sentences from the narration of the 1945 short film Your Job in Germany, directed by Frank Capra. The film was aimed at American soldiers occupying Germany and strongly warned against trusting or fraternizing with German citizens.

Track listing

Personnel

Code (law)

A code is a type of legislation that purports to exhaustively cover a complete system of laws or a particular area of law as it existed at the time the code was enacted, by a process of codification. Though the process and motivations for codification are similar in different common law and civil law systems, their usage is different. In a civil law country, a Code typically exhaustively covers the complete system of law, such as civil law or criminal law. By contrast, in a common law country with legislative practices in the English tradition, a Code is a less common form of legislation, which differs from usual legislation that, when enacted, modify the existing common law only to the extent of its express or implicit provision, but otherwise leaves the common law intact. By contrast, a code entirely replaces the common law in a particular area, leaving the common law inoperative unless and until the code is repealed. In a third case of slightly different usage, in the United States and other common law countries that have adopted similar legislative practices, a Code is a standing body of statute law on a particular area, which is added to, subtracted from, or otherwise modified by individual legislative enactments.

Onyx

Onyx is a banded variety of the oxide mineral chalcedony. Agate and onyx are both varieties of layered chalcedony that differ only in the form of the bands: agate has curved bands and onyx has parallel bands. The colors of its bands range from white to almost every color (save some shades, such as purple or blue). Commonly, specimens of onyx contain bands of black and/or white.

Etymology

Onyx comes through Latin (of the same spelling), from the Greek ὄνυξ, meaning "claw" or "fingernail". With its fleshtone color, onyx can be said to resemble a fingernail. The English word "nail" is cognate with the Greek word.

Varieties

Onyx is formed of bands of chalcedony in alternating colors. It is cryptocrystalline, consisting of fine intergrowths of the silica minerals quartz and moganite. Its bands are parallel to one another, as opposed to the more chaotic banding that often occurs in agates.

Sardonyx is a variant in which the colored bands are sard (shades of red) rather than black. Black onyx is perhaps the most famous variety, but is not as common as onyx with colored bands. Artificial treatments have been used since ancient times to produce both the black color in "black onyx" and the reds and yellows in sardonyx. Most "black onyx" on the market is artificially colored.

USS Onyx (PYc-5)

USS Onyx (PYc-5), was a diesel coastal patrol yacht of the United States Navy during World War II.

The ship was built in 1924 as Janey III by Consolidated Shipbuilding Corp. of Morris Heights, New York, and was subsequently renamed Rene and Pegasus.

Purchased by the Navy on 3 December 1940 from Clifford C. Hemphill, of New York City, converted to Navy use and named Onyx, she was classified as a coastal yacht on 13 December 1940, and commissioned on 27 February 1941.

Service history

After conversion she departed New York for Norfolk, arriving on 22 March. Sailing again, she reached New Orleans on 5 April to report for duty to Commandant 8th Naval District. Onyx performed services for ComEight as a coastal patrol vessel around the Gulf area until January 1942. On 22 January she departed Key West, Florida to return to New York and arrived there on 31 January.

Onyx was again ordered to report to the 8th Naval District at New Orleans and was underway by 13 March, arriving on 27 March. She resumed services and continued in this capacity until February 1944 when she was extensively damaged in a collision. Beyond economic repair, her ordnance was removed and she was placed out of commission, in service, retaining her name and designation, on 15 May 1944. She was designated a target vessel on 31 May, the same year, and made available for disposition on 31 October.

Onyx (architectural collective)

Onyx is a multi-member collective that was active in New York City from 1968 through the early 1970s and active intermittently to the present. Its members - Ron Williams, Woody Rainey, Tommy Simpson, Mike Hinge, Bob Buxbaum, Davis Allen, Sheridan Bell and Jack Wells among others—published architectural projects in the form of offset-printed posters or "broadsheets" that were mailed internationally. The members also went by a number of pseudonyms including Charles Albatross, Okra Plantz, Patrick Redson and Harvey Grapefruit. The poster format allowed the rapid reproduction and easy circulation of their ideas. While the collective distributed their posters through the postal service they also pasted the posters up throughout the streets of the city. There are many connections to the "mail art" phenomenon; the collective claimed affiliation with this artistic practice through the labeling of mailings as MAIL ART and interaction with others practicing this form, including Ant Farm, and Ray Johnson. Characterized by an intricate layering of text and images, the ONYX posters described speculative architectural projects, made allusions to architectural history, explored practices of architectural representation, and commented obscurely on current sociopolitical events.