Big O notation

In mathematics, big O notation describes 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. In analytic number theory, it is used to estimate the "error committed" while replacing the asymptotic size, or asymptotic mean size, of an arithmetical function, by the value, or mean value, it takes at a large finite argument. A famous example is the problem of estimating the remainder term in the prime number theorem.

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.

The Rising Sun

The Rising Sun: The Decline and Fall of the Japanese Empire, 1936–1945, written by John Toland, was published by Random House in 1970 and won the 1971 Pulitzer Prize for General Non-Fiction. It was republished by Random House in 2003.

A chronicle of the World War II rise and fall of the Japanese empire, from the invasion of Manchuria and China to the atomic bombing of Hiroshima and Nagasaki, from the Japanese perspective, it is in the author's words, "a factual saga of people caught up in the flood of the most overwhelming war of mankind, told as it happened—muddled, ennobling, disgraceful, frustrating, full of paradox."

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Rising Sun

Rising Sun may refer to sunrise. It may also refer to:

Entertainment

Music

Games

Literature

Film and television

Rising Sun (badge)

The Rising Sun badge, also known as the General Service Badge or the Australian Army Badge, is the official insignia of the Australian Army and is worn on the brim of a slouch hat or the front of a peaked cap (select appointments only). The badge is readily identified with the spirit of ANZAC, the legend of the Australian soldier (or digger), and the esprit de corps of the Army itself, due to its association with the landings at Gallipoli in 1915. Today, new recruits receive the iconic badge with their initial issue of equipment, which happens within their first three days of enlistment.

History

Origins

The origins of the rising sun badge are disputed. It has been suggested that the association of the badge with the rising sun came from the trademark of a popular brand of jam at the time of its inception, known as 'Rising Sun jam', while other scholars have suggested that it represented the rising sun from the start. Rising sun designs had appeared on early Australian colonial coins and military insignia decades before the federation of the Australian colonies in 1901, and may have represented the image of Australia as 'a young nation' and a 'new Britannia'.

Rising Sun (yacht)

Rising Sun is a motor yacht designed by Jon Bannenberg, and built in 2004 by Germany's Lürssen for Larry Ellison, CEO of Oracle Corporation, and last refitted in 2007. 'Rising Sun' has been owned since 2010 by David Geffen, who had bought a half share of the yacht in late 2006. The yacht is the 11th largest in the world with a length of almost 138 metres (453 ft). It reportedly cost over US$200 million to build.

It is equipped with: