Lloyd's Method I algorithm, originally described in 1957, can be generalized in a straighforward way for application to vector data.

The most common form of the algorithm uses an iterative refinement heuristic known as Lloyd's algorithm.

Lloyd's algorithm starts by partitioning the input points into k initial sets, either at random or using some heuristic data.

Lloyd's algorithm and k-means are often used synonymously, but in reality Lloyd's algorithm is a heuristic for solving the k-means problem, as with certain combinations of starting points and centroids, Lloyd's algorithm can in fact converge to the wrong answer.

Other variations exist, but Lloyd's algorithm has remained popular, because it converges extremely quickly in practice.

* The original paper describing the algorithm, as an extension to Lloyd's algorithm:

In computer science and electrical engineering, Lloyd's algorithm, also known as Voronoi iteration or relaxation, is an algorithm for grouping data points into a given number of categories, used for k-means clustering.

Lloyd's algorithm starts by partitioning the input points into k initial sets, either at random or using some heuristic.

Lloyd's algorithm starts with an initial distribution of samples or points and consists of repeatedly executing one relaxation step:

Since the algorithm converges slowly, and, due to limitations in numerical precision the algorithm will often not converge, real-world applications of Lloyd's algorithm stop once the distribution is " good enough.

Lloyd's algorithm is also used to generate dot drawings in the style of stippling.

Exceptions include Lloyd's of London, which is famous for insuring the life or health of actors, sports figures and other famous individuals.

Lloyd's of London, pictured in 1991, is one of the world's leading and most famous insurance markets

Today, Lloyd's of London remains the leading market ( note that it is an insurance market rather than a company ) for marine and other specialist types of insurance, but it operates rather differently than the more familiar kinds of insurance.

Lloyd's List was founded in Edward Lloyd ’ s England coffee shop in 1734 ; it is still published as a daily business newspaper.

* July 17 – The Lutine bell, is salvaged and subsequently hung in Lloyd's of London.

Three Smart Saps, a film considered to be an improvement, features a reworking of a routine from Harold Lloyd's The Freshman, in which Curly's loosely basted suit begins to come apart at the seams while he is on the dance floor.

* Lloyd's News, forerunner of Lloyd's List is founded.

The name " Acme " is used as a generic corporate name in a huge number of cartoons, comics, television shows ( as early as an I Love Lucy episode ), and film ( as early as Buster Keaton's 1920 silent film Neighbors and Harold Lloyd's 1922 film Grandma's Boy ).

Marie Lloyd's song ' She Sits Among The Cabbages And Peas ' is an example of this.

The dangling scene was also referenced earlier in the film during the pan of Doc Brown's ( Christopher Lloyd's character ) laboratory as a picture is shown featuring Lloyd hanging from a clock tower.

The most common salvage contract is called a " Lloyd's Open Form Salvage Contract ".

The town was the site of the first Lloyd's Supercenter, and is home to many retail stores, shopping centers and restaurants, many of which are located along Route 211.

The home is still owned by the same family ( The Lloyd's ), as during the time of filming.

The Lloyd's building in Lime Street, London | Lime Street is the home of Lloyd's of London.

Lloyd's of London, styled simply as Lloyd's, is a British insurance and reinsurance market.

Unlike most of its competitors in the industry, it is not a company but it is a corporate body under the Lloyd's Act 1871 of the Parliament of the United Kingdom.

Uberrimae fides ( Latin for " of the utmost good faith ") is the motto of Lloyd's.

The Lloyd's building, where the market is based, is located at 1 Lime Street in the City of London.

The practice at Lloyd's was to wait three years ( that is, 36 months from the beginning of the Syndicate ) before ' closing ' the year and declaring a result.

It is alleged that, in the early 1980s, some Lloyd's officials began a recruitment programme to enrol new Names to help capitalise Lloyd's prior to the expected onslaught of APH claims.

When the city pressured local insurance companies to stop insuring cars used in the carpools, the boycott leaders arranged policies with Lloyd's of London.

The town used a combination of funds raised locally and contributed by Lloyd's of London to purchase a lifeboat built to Henry Greathead's " Original " design.

The Lloyd's building was used in the beginning of the film Mamma Mia!

Heinlein may have come up with the term himself, but there are earlier citations: a piece in Lippincott's Monthly Magazine in 1889, used the term in reference to Edward Bellamy's Looking Backward: 2000 – 1887 and other works ; and one in the May, 1900 issue of The Bookman said that John Uri Lloyd's Etidorhpa, The End of the Earth had " created a great deal of discussion among people interested in speculative fiction ".

Filming locations for the film include Blenheim Palace, Savoy Hotel London, Lloyd's of London, Borough Market, London, Duart Castle on the Isle of Mull in Scotland, Eilean Donan Castle in Scotland, the Petronas Towers in Kuala Lumpur ( with other filming completed at Pinewood Studios ), and the Bukit Jalil LRT station However, the signage at this station that was used for the movie was Pudu LRT station instead of Bukit Jalil.

He invented the Lloyd's rod, used to educate dogs in Germany and in the south of Chile

Overlooking the Cape are the ruins of the Lloyd's signal station, which was used to monitor shipping.

* At the beginning, the building used for shooting was the Lloyd's Register ( of Shipping ) No. 71 office in Fenchurch Street, not to be confused with the Lloyd's of London Insurance Building.

It rests in Lloyd's of London Underwriting Room where it used to be struck when news of an overdue ship arrived-once for the loss of a ship ( i. e. bad news, last in 1979 ), and twice for her return ( i. e. good news, last in 1989 ).

Claiming that the descendants of black American slaves still suffer, Fagan sued the UK's oldest insurance firm Lloyd's of London for insuring ships used in the slave trade in the 1700-1800s.

Pearlman used falsified Federal Deposit Insurance Corporation, AIG and Lloyd's of London documents to win investors ' confidence in his " Employee Investment Savings Account " ( EISA ) program and he used fake financial statements created by a fictitious accounting firm Cohen and Siegel to secure bank loans.

The " shed " used to be a stand-alone building in the courtyard that housed Lloyd's big screen TV.

Exterior glass lifts will be used on the building, similar to the neighbouring Lloyd's building designed by the same architect.

The new shipping company had no association with the British maritime classification society Lloyd's Register ; in the mid-19th century, " Lloyd " was used as a term for a shipping company.

Lloyd's method is used in computer graphics because the resulting distribution has blue noise characteristics ( see also Colors of noise ), meaning there are few low-frequency components that could be interpreted as artifacts.