Although it is often intuited as a metric or distance, the KL divergence is not a true metric — for example, it is not symmetric: the KL from P to Q is generally not the same as the KL from Q to P. However, its infinitesimal form, specifically its Hessian, is a metric tensor: it is the Fisher information metric.

Although Andean Amerindian peoples crafted ceremonial jewelry of gold and other metals the mineralizations of the Andes were first mined in large scale after the Spanish arrival.

Although this distinction was blurred by the 19th century arrival of the railway.

Although the poem begins with Beowulf's arrival, Grendel's attacks have been an ongoing event.

Although he still wore a standard British officer's cap on arrival in the desert, he briefly wore an Australian broad-brimmed hat before switching to wearing the black beret ( with the badge of the Royal Tank Regiment next to the British General Officer's badge ) for which he became notable.

Although the dog-like hyenas thrived 15 million years ago ( with one taxon having colonised North America ), they died out after a change in climate along with the arrival of canids into Eurasia.

Although the area was originally settled in 1733, Moncton is considered to have been officially founded in 1766 with the arrival of Pennsylvania Dutch immigrants from Philadelphia.

Although Harold attempted to surprise the Normans, William's scouts reported the English arrival to the duke.

Although Habiru ( a Sumerian ideogram glossed as " brigand " in Akkadian ), and sometimes ( an Akkadian word ) had been reported in Mesopotamia from the reign of the Sumerian king, Shulgi of Ur III, their appearance in Canaan appears to have been due to the arrival of a new state based in Asia Minor to the north of Assyria based upon Maryannu aristocracy of horse drawn charioteers, associated with the Indo-Aryan rulers of the Hurrians, known as Mitanni.

Although population estimates vary, Father Bartolomé de las Casas, the “ Defender of the Indians ” estimated there were 6 million ( 6, 000, 000 ) Taíno and Arawak in the Caribbean at the time of Columbus's arrival in 1492.

Although team owner George Steinbrenner and several players, most notably catcher and team captain Thurman Munson and outfielder Lou Piniella, were excited about his arrival, Martin was not.

Although Harold attempted to surprise the Normans, William's scouts reported the English arrival to the duke.

Although the Devils bounced the Hurricanes in six games, the series is seen as the real " arrival " of hockey in the Triangle.

Although Jack Nicholson appears only as a supporting actor and in the last half of the film, the standout performance signaled his arrival as a movie star, along with his subsequent film Five Easy Pieces in which he had the lead role.

Although the triumvirs had been able to cross the sea with their main force, further communications with Italy were made difficult by the arrival of the Liberatore admiral Ahenobarbus, with a large fleet of 130 ships.

Although officials of Indian and Northern Affairs were certainly aware of the intention of the Naskapis to move from Fort Chimo to Schefferville and may even have instigated that move, they appear to have done little or nothing to prepare for their arrival there, not even by warning the representatives of the Iron Ore Company of Canada (" IOCC ") or the municipality of Schefferville.

Although these first Bantu men from Angola were considered indentured servants, their arrival marked the beginning of slavery in North America.

Although the colony had recently been reinforced by the arrival of new colonists from the ship Fortune, there were still only 50 men to work on the task.

Although there were ranches in the area in the 1870s, Milford did not come into being until the arrival of the San Pedro, Los Angeles and Salt Lake Railroad in 1880.

Although up to a thousand Irish soldiers who had served in Europe returned during the war, bringing with them experience of siege warfare from the Thirty Years ' War in Europe, it was the arrival of Oliver Cromwell's train of siege guns in 1649 that transformed the conflict, and the fate of local castles.

Although its earliest settlements date back to 1802, the village that came to be known as Dublin didn't begin to take shape until the arrival of the Sells family of Huntingdon, Pennsylvania.

Although Sydney was initially used by the British as a place of banishment for prisoners, the arrival of the British laid the foundations for Australia's democratic institutions and rule of law, and introduced the long traditions of English literature, Western art and music, and Judeo-Christian ethics and religious outlook to a new continent.

Although he knew no German on his arrival, after only nine months study he managed to win the school prize for that language.

Although the weta had native predators in the form of birds ( especially the weka and kiwi ), reptiles, and bats before the arrival of humans, introduced species such as cats, hedgehogs, rats ( including kiore ) and mustelids have caused a sharp increase in the rate of predation.

Although newsreels announced the arrival of the Englishman in Australia, he lived a quiet life in the eastern suburbs of Sydney.

The settlement of the area around what was to become Blair began in 1800 with the arrival of Samuel D. Betzner, one of a group of German-speaking Mennonites who originated in Pennsylvania. Although he was the first settler in Blair and Cambridge, Samuel D. Betzner had little influence on the development of the community.

U. S. journalist Paul Hoeffel in an article written for the Boston Globe concluded that, " Although there is widespread reluctance to use the term, it is now impossible to ignore the fact that civil war has broken out in Argentina.

Although Schrödinger himself after a year proved the equivalence of his wave-mechanics and Heisenberg's matrix mechanics, the reconciliation of the two approaches and their modern abstraction as motions in Hilbert space is generally attributed to Paul Dirac, who wrote a lucid account in his 1930 classic Principles of Quantum Mechanics.

Although Baba had initially begun gaining public attention in the West as early as 1932 as the result of contacts with some celebrities of the time ( such as Charles Laughton, Tallulah Bankhead, Boris Karloff and others ) and from the rather disillusioned account of Paul Brunton ( A Search in Secret India, 1934 ), he achieved additional attention over three decades later through the work of Pete Townshend of The Who.

Although Ismar Ehrlich was the leader of the local Jewish community, he nevertheless gave his son the Christian name “ Paul ”.

Although the series used more composers than any other Star Trek series ( Dennis McCarthy, Jay Chattaway, David Bell, Paul Baillargeon, Velton Ray Bunch, Brian Tyler, Mark McKenzie, John Frizzell and Kevin Kiner ), only McCarthy's score for the pilot has been released.

Although movie audiences had shrunk, Warner's new management believed in the drawing power of stars, signing co-production deals with several of the biggest names of the day, among them Paul Newman, Robert Redford, Barbra Streisand, and Clint Eastwood, carrying the studio successfully through the 1970s and 1980s.

Although many economists, such as George Akerlof, Paul Krugman, Robert Shiller, and Joseph Stiglitz, support Keynesian stimulus, over 300 economists signed a petition stating that they do not believe higher government spending will help the United States economy recover from the late-2000s recession.

Although the Kuhl incident received the most publicity, Patton slapped and berated a second soldier, Private Paul G. Bennett of C Battery, 17th Field Artillery, 1st Infantry Division, under similar circumstances on August 10, 1943 at the 93rd Evacuation Hospital.

Although Paul II was a committed opponent of humanist learning, he oversaw and approved the introduction of printing into the Papal States, first at Subiaco in 1464 by Arnold Pannartz and Konrad Sweynheim, and at Rome itself in 1467.

Although the work was commission by Paul ’ s predecessor, it was finished in 1541.

Although Paul is a boy, he receives a Bene Gesserit training, giving him among other things, great control over his metabolism, heightened senses, and knowledge of martial arts.

Although the latter was engraved by Revere and he included the inscription, " Engraved, Printed, & Sold by Paul Revere Boston ", it was modeled on a drawing by Henry Pelham, and Revere's engraving of the drawing was colored by a third man and printed by a fourth.

Although a songwriter herself, Baez is generally regarded as an interpreter of other people's work, having recorded songs by The Allman Brothers Band, The Beatles, Jackson Browne, Bob Dylan, Violeta Parra, Woody Guthrie, The Rolling Stones, Pete Seeger, Paul Simon, Stevie Wonder, Leonard Cohen, and many others.

Although it is sometimes assumed that actress Alice Ghostley based her speech patterns and mannerisms on Lynde's, according to actress Kaye Ballard " it was Paul who was influenced by Alice ".

Although, under Associated Newspaper's ownership, the Standard shared the same Editor in Chief, Paul Dacre, as the Daily Mail, it maintained a quite different style from the latter's " middle England " outlook, in order to appeal to its local, more cosmopolitan readership.

Although the Nineteenth Amendment had prohibited the denial of the right to vote because of a person's sex, Alice Paul, a suffragist leader, argued that this right alone would not end remaining vestiges of legal discrimination based upon sex.

Although unashamedly commercial, these bands often featured front-rank jazz musicians — for example Paul Whiteman employed Bix Beiderbecke and Frankie Trumbauer.

Although the slave trade was condemned by Pope Paul III ( and later called " supreme villainy " by Pope Pius IX ), it was a lucrative business for all involved and continued to flourish.

Although most cannas grown these days are cultivars ( see below ), there are approximately 20 known species of the wild form, and in the last three decades of the 20th century, Canna species have been categorized by two different taxonomists, Paul Maas, from the Netherlands and Nobuyuki Tanaka from Japan.

Although she has become scheming, calculating and ruthless in her professional life, she is still able, at times, to listen to her heart — especially in her relationship with Paul Harrison, the " Ideas Catcher ".

Although these and more verses are commonly used to justify the practise of mortification of the flesh by some Christians, it is most likely that the apostle Paul was referring to fasting and prayer as the means to discipline one's desires, passions and concupiscence.

Although it is common knowledge that Paul moved west from Ackley, Minnesota with the Red River Lumber Company in about 1912, the town of Westwood claims to be the hometown of Paul Bunyan.

Although Paul approached the Gibson Guitar Corporation with his idea of a solid body electric guitar, they showed no interest until Fender began marketing its Esquire which later had a second pick-up added and became known as the Telecaster.

Although by the fall of 1799 the Russo-Austrian alliance had more or less fallen apart, Paul still cooperated willingly with the British.