The Most Excellent Order of the British Empire is an order of chivalry established on 4 June 1917 by George V of the United Kingdom. The Order is composed of five classes in civil and military divisions. In descending order of seniority, these are:

Only the highest two ranks automatically cause an individual to become a knight or dame, an honour allowing the recipient to use the title "Sir" (male) or "Dame" (female) before their first name (though men can be knighted separately from this and other Orders of Chivalry). Honorary knighthoods, given to individuals who are not nationals of a realm where Queen Elizabeth II is Head of State, permit use of the honour as a post-nominal but not as a title before their name. Awards in the Order of the British Empire in the Commonwealth Realms were discontinued with the establishment of national systems of honours and awards such as the Order of Australia, the Order of Canada and the New Zealand Order of Merit. Foreign recipients are classified as honorary members of the Order they receive, and do not contribute to the numbers restricted to that Order as full members do.

The British Empire comprised the dominions, colonies, protectorates, mandates and other territories ruled or administered by the United Kingdom. It originated with the overseas colonies and trading posts established by England in the late 16th and early 17th centuries. At its height, it was the largest empire in history and, for over a century, was the foremost global power. By 1922 the British Empire held sway over about 458 million people, one-fifth of the world's population at the time, and covered more than 33,700,000 km² (13,012,000 sq mi), almost a quarter of the Earth's total land area. As a result, its political, linguistic and cultural legacy is widespread. At the peak of its power, it was often said that "the sun never sets on the British Empire" because its span across the globe ensured that the sun was always shining on at least one of its numerous territories.

During the Age of Discovery in the 15th and 16th centuries, Portugal and Spain pioneered European exploration of the globe, and in the process established large overseas empires. Envious of the great wealth these empires generated, England, France and the Netherlands began to establish colonies and trade networks of their own in the Americas and Asia. A series of wars in the 17th and 18th centuries with the Netherlands and France left England (and then, following union between England and Scotland in 1707, Great Britain) the dominant colonial power in North America and India. The loss of the Thirteen Colonies in North America in 1783 after a war of independence deprived Britain of some of its oldest and most populous colonies.

In mathematics, big O notation is used to describe the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size.

Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation. A description of a function in terms of big O notation usually only provides an upper bound on the growth rate of the function. Associated with big O notation are several related notations, using the symbols o, Ω, ω, and Θ, to describe other kinds of bounds on asymptotic growth rates.

Big O notation is also used in many other fields to provide similar estimates.

Sir Roger George Moore KBE (born 14 October 1927) is an English actor. He is best known for portraying British secret agent James Bond in the official film series between 1973 and 1985.

Moore was born in Stockwell, London. The only child of George Alfred Moore, a policeman, and Lillian "Lily" (née Pope), a housewife, he attended Battersea Grammar School, but was evacuated to Holsworthy, Devon during Second World War and was then educated at Dr Challoner's Grammar School in Amersham, Buckinghamshire. He then attended the College of the Venerable Bede at the University of Durham but never graduated. At 18 years old, shortly after the end of the war, Moore was conscripted for national service. He was commissioned as an officer and eventually became a Captain. Moore served in the Royal Army Service Corps, commanding a small depot in West Germany. He later transferred to the entertainment branch (under luminaries such as Spike Milligan), and immediately prior to his national service, there was a brief stint at RADA (the Royal Academy of Dramatic Art), during which his fees were paid by film director Brian Desmond Hurst, who also used Moore as an extra in his film Trottie True. Moore was a classmate at RADA with his future Bond colleague Lois Maxwell, the original Miss Moneypenny. The young Moore first appeared in films during the mid to late-1940s, as an extra. Moore's film idol as a child was Stewart Granger. As a 17-year-old, Moore appeared as an extra in the film Caesar and Cleopatra (1945), finally meeting his idol on the set. Moore later worked with Granger in The Wild Geese.

William Henry "Bill" Gates III (born October 28, 1955 in Seattle, Washington) is an American business magnate, computer programmer and philanthropist. Gates is the former chief executive officer (CEO) and current chairman of Microsoft, the world’s largest personal-computer software company he co-founded with Paul Allen. He is consistently ranked among the world's wealthiest people and was the wealthiest overall from 1995 to 2009, excluding 2008, when he was ranked third; in 2011 he was the wealthiest American and the second wealthiest person. During his career at Microsoft, Gates held the positions of CEO and chief software architect, and remains the largest individual shareholder, with 6.4 percent of the common stock. He has also authored or co-authored several books.

Gates is one of the best-known entrepreneurs of the personal computer revolution. Gates has been criticized for his business tactics, which have been considered anti-competitive, an opinion which has in some cases been upheld by the courts. In the later stages of his career, Gates has pursued a number of philanthropic endeavors, donating large amounts of money to various charitable organizations and scientific research programs through the Bill & Melinda Gates Foundation, established in 2000.