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.

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 is usually used in a Euclidean space, so the distance function serves as a measure of similarity between points, and averaging of each dimension for the averaging, but this need not be the case.

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.

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 working and external members are elected by Lloyd's members.

There are two classes of people and firms active at Lloyd's.

Coverholders are an important source of business for Lloyd's.

Their numbers have increased steadily in recent years, and there are now about 2, 500 Lloyd's coverholders producing around 30 % of Lloyd's premium income each year.

They must hire Lloyd's brokers, who are the only customer-facing companies at Lloyd's.

Lloyd's is not publicly traded, though some of its members are listed companies, such as Hiscox Ltd, Catlin Group Ltd and Hardy Underwriting Bermuda Ltd.

Lloyd's finance director Luke Savage explained, “ There are a lot of banks who, because of the uncertainty around Europe, the market has stopped using to place deposits with.

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 ".

All Royal Fleet Auxiliaries are built and maintained to Lloyd's Register and Department for Transport standards.

Rogers ' iconic London buildings are probably Lloyd's Building and the Millennium Dome, while Foster created the ' Gherkin ' and the City Hall.

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

Among the notable buildings on whose design he worked are the Centre Pompidou, the Sydney Opera House, Lloyd's of London, the Louvre Pyramid, the Mound Stand at Lord's Cricket Ground, Kansai International Airport and Stansted Airport.

A year later, the Finance Act 1998 went even further, making it clear that taxable trading profits ( apart from those accruing to a Lloyd's corporate name or to a life assurance company ) and profits from a rental business are equal to profits calculated under generally accepted accounting practice (" GAAP ") unless there is a specific statutory or case law rule to the contrary.

Lloyd seeks advice and counsel from his sister and several close female friends who are genuinely looking out for Lloyd's best interests as he embarks on his first serious romantic relationship.

No references to the shipwreck are known to exist in contemporary records or sources, including newspapers, Lloyd's List or Lloyd's Register.

Lloyd's Rules for ships are derived from principles of Naval Architecture and Marine Engineering, and govern safety and operational standards for numerous merchant, military and privately-owned vessels all around the world.

Ships are inspected on a regular basis by a team of Lloyd's Register surveyors, one of the most important inspections being a ship's annual Load Line Survey.

In Hong Kong, where the largest number of Approved Lloyd's Coverholders are domiciled in Asia Pacific, insurers and their potential clients seek a closer way for the Lloyd's market to access the emerging insurance market of Asia Pacific and vice versa.

The reinsurer was always another Lloyd's Syndicate, often the succeeding year of the same Syndicate.

When corporations became admitted as Lloyd's members, they often disliked the traditional structure.

Lloyd's capital structure, often referred to as the Chain of Security, provides financial security to policyholders and capital efficiency to members.

It is because of Lloyd's influence that Andy Murray is also a Wolves fan and is often seen wearing the Wolves shirt that was presented to him by Lloyd.

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 ).

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!

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

* 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.