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2. 3-manifold – In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. A 3-manifold can be thought of as a shape of the universe. Just as a sphere looks like a plane to a small enough observer and this is made more precise in the definition below. A topological space X is a 3-manifold if it is a second-countable Hausdorff space, 3-manifold theory is considered a part of low-dimensional topology or geometric topology. A key idea in the theory is to study a 3-manifold by considering special surfaces embedded in it, Thurstons contributions to the theory allow one to also consider, in many cases, the additional structure given by a particular Thurston model geometry. The most prevalent geometry is hyperbolic geometry, using a geometry in addition to special surfaces is often fruitful. The fundamental groups of 3-manifolds strongly reflect the geometric and topological information belonging to a 3-manifold, thus, there is an interplay between group theory and topological methods. Euclidean 3-space is the most important example of a 3-manifold, as all others are defined in relation to it and this is just the standard 3-dimensional vector space over the real numbers. A 3-sphere is a analogue of a sphere. It consists of the set of points equidistant from a central point in 4-dimensional Euclidean space. Real projective 3-space, or RP3, is the space of lines passing through the origin 0 in R4. It is a compact, smooth manifold of dimension 3, and is a special case Gr of a Grassmannian space. RP3 is SO, hence admits a group structure, the covering map S3 → RP3 is a map of groups Spin → SO, the 3-dimensional torus is the product of 3 circles. That is, T3 = S1 × S1 × S1, the 3-torus, T3 can be described as a quotient of R3 under integral shifts in any coordinate. That is, the 3-torus is R3 modulo the action of the integer lattice Z3, equivalently, the 3-torus is obtained from the 3-dimensional cube by gluing the opposite faces together. A 3-torus in this sense is an example of an 3-dimensional compact manifold and it is also an example of a compact abelian Lie group. This follows from the fact that the circle is a compact abelian Lie group. Group multiplication on the torus is defined by coordinate-wise multiplication

3. Abalone – Abalone is a common name for any of a group of small to very large sea snails, marine gastropod molluscs in the family Haliotidae. Other common names are ear shells, sea ears, and muttonfish or muttonshells in Australia, ormer in Great Britain, perlemoen in South Africa and their taxonomy puts them in the family Haliotidae which contains only one genus, Haliotis, which once contained six subgenera. These subgenera have become alternate representations of Haliotis, the number of species recognized worldwide ranges between 30 and 130 with over 230 species-level taxa described. The most comprehensive treatment of the family considers 56 species valid, the shells of abalones have a low, open spiral structure, and are characterized by several open respiratory pores in a row near the shells outer edge. The flesh of abalones is widely considered to be a desirable food, Abalone vary in size from 20 millimetres to 200 millimetres while Haliotis rufescens is the largest of the genus at 12 inches. The shell of abalones is convex, rounded to oval in shape, the shell of the majority of species has a small, flat spire and two to three whorls. The last whorl, known as the whorl, is auriform, meaning that the shell resembles an ear. Haliotis asinina has a different shape, as it is more elongated and distended. The shell of Haliotis cracherodii cracherodii is also unusual as it has a form, is imperforate, shows an exserted spire. A mantle cleft in the shell impresses a groove in the shell and these holes are respiratory apertures for venting water from the gills and for releasing sperm and eggs into the water column. They make up what is known as the selenizone which forms as the shell grows and this series of 8 to 38 holes is near the anterior margin. Only a small number are generally open, the older holes are gradually sealed up as the shell grows and new holes form. Each species has a number of open holes, between four and ten, in the selenizone. The aperture of the shell is wide and nacreous. The exterior of the shell is striated and dull, the color of the shell is very variable from species to species which may reflect the animals diet. The iridescent nacre that lines the inside of the shell varies in color from white, to pink, red and green-red to deep blue. The animal has fimbriated head-lobes and side-lobes which are fimbriated and cirrated, the radula has small median teeth, and the lateral teeth are single and beam-like. There are about 70 uncini, with denticulated hooks, the first four very large, the rounded foot is very large in comparison to most molluscs

4. Aberdeen – Nicknames include the Granite City, the Grey City and the Silver City with the Golden Sands. During the mid-18th to mid-20th centuries, Aberdeens buildings incorporated locally quarried grey granite, since the discovery of North Sea oil in the 1970s, other nicknames have been the Oil Capital of the World or the Energy Capital of the World. The area around Aberdeen has been settled since at least 8,000 years ago, the city has a long, sandy coastline and a marine climate, the latter resulting in chilly summers and mild winters. Aberdeen received Royal Burgh status from David I of Scotland, transforming the city economically, the traditional industries of fishing, paper-making, shipbuilding, and textiles have been overtaken by the oil industry and Aberdeens seaport. Aberdeen Heliport is one of the busiest commercial heliports in the world, in 2015, Mercer named Aberdeen the 57th most liveable city in the world, as well as the fourth most liveable city in Britain. In 2012, HSBC named Aberdeen as a business hub and one of eight super cities spearheading the UKs economy. The Aberdeen area has seen human settlement for at least 8,000 years. The city began as two separate burghs, Old Aberdeen at the mouth of the river Don, and New Aberdeen, a fishing and trading settlement, the earliest charter was granted by William the Lion in 1179 and confirmed the corporate rights granted by David I. In 1319, the Great Charter of Robert the Bruce transformed Aberdeen into a property-owning, granted with it was the nearby Forest of Stocket, whose income formed the basis for the citys Common Good Fund which still benefits Aberdonians. The city was burned by Edward III of England in 1336, but was rebuilt and extended, the city was strongly fortified to prevent attacks by neighbouring lords, but the gates were removed by 1770. During the Wars of the Three Kingdoms of 1644–1647 the city was plundered by both sides, in 1644, it was taken and ransacked by Royalist troops after the Battle of Aberdeen and two years later it was stormed by a Royalist force under the command of Marquis of Huntly. In 1647 an outbreak of plague killed a quarter of the population. In the 18th century, a new Town Hall was built and the first social services appeared with the Infirmary at Woolmanhill in 1742 and the Lunatic Asylum in 1779. The council began major road improvements at the end of the 18th century with the main thoroughfares of George Street, King Street, gas street lighting arrived in 1824 and an enhanced water supply appeared in 1830 when water was pumped from the Dee to a reservoir in Union Place. An underground sewer system replaced open sewers in 1865, the city was incorporated in 1891. Although Old Aberdeen has a history and still holds its ancient charter. It is an part of the city, as is Woodside. Old Aberdeen is the location of Aberdon, the first settlement of Aberdeen

5. Aberdeen, Hong Kong – Aberdeen /æbərˈdiːn/ is an area and town on southwest Hong Kong Island in Hong Kong. Administratively, it is part of the Southern District, however, the name Aberdeen can refer to the areas of Aberdeen, Wong Chuk Hang, Ap Lei Chau and Tin Wan, but it is more often used to refer to the town only. According to the census conducted in 2011, the total population of the Aberdeen area is approximately 80,000. Aberdeen is famous not only to tourists but also to Hong Kong locals for its floating village and floating seafood restaurants located in the Aberdeen Harbour. The Tanka people, who used to live on boats in the Aberdeen Harbour, are associated with the fishing industry. This town is named Aberdeen in memory of George Hamilton-Gordon, 4th Earl of Aberdeen, former Prime Minister of the United Kingdom, by extension, it is also named after Aberdeen in Scotland. Aberdeen is also the name of a harbour and a housing estate and it is known for its view and is a popular tourist spot. During the fishing moratorium and typhoon weather, the Aberdeen Typhoon Shelters have provided a parking spot for fishing vessels owned by local fishermen, Aberdeen Centre is a private housing estate located in Aberdeen town, owned by Hutchison Whampoa Limited company. The twenty buildings, providing 2,788 private apartments, have provided a home for Hong Kong middle-class families for more than thirty years, starting during the Ming Dynasty, Hong Kong became the original name for the presently-named Aberdeen village. In the early 19th century, foreigners who landed near Aberdeen Village mistook the name of the village Hong Kong for the whole island, when the foreigners eventually realized their mistake, the name Hong Kong was already commonly used to refer to the entire island. In Cantonese, Aberdeen is known indigenously as Hong Kong Tsai and it is believed that Aberdeen is where the name of Hong Kong originates. Heung Kong Tsuen on Ap Lei Chau was mentioned on Ming-era maps, another walled village called Heung Kong Wai in Wong Chuk Hang was also founded during the Qianlong era of the Qing Dynasty. Hong Kong means fragrant harbour, and it was Aberdeen where incense trees from the New Territories used to be brought for export to other cities in China, One alternative Chinese name was Shek Pai Wan. In the Second World War, during the Japanese occupation of Hong Kong, the Aberdeen Kai-Fong Association, located at 180B Aberdeen Main Road, provides outreach and elderly services throughout the Southern District. It provides teenager services through the Harmony Life Enrichment Centre and it also aims to bridge the divide between teenagers and the elderly in the district through the Linkages Centre, located in Carpark Block, Shek Pai Wan Estate. Aberdeen is one of the nineteen constituencies of the Southern District Council, each constituency has one elected council member in the Southern District Council. As of 2015, the member representing the area of Aberdeen is Vincent Wong Ling-Sun. Aberdeen Jumbo Floating Restaurant is a popular tourist spot, designed to resemble a floating palace of imperial China, it has attracted over 30 million visitors since opening in 1976

6. Aberdour – Aberdour is a scenic and historic village on the south coast of Fife, Scotland. It is on the shore of the Firth of Forth, looking south to the island of Inchcolm and its Abbey. According to the 2011 census, the village has a population of 1,633, the villages winding High Street lies a little inland from the coast. Narrow lanes run off it, providing access to the hidden parts of the village. The village nestles between the coastal towns of Burntisland to the east and Dalgety Bay to the west. The origins of the lie with its harbour, where the Dour Burn enters the River Forth. The place-name itself is Pictish, implying an origin in the Dark Ages, the -dour element, referring to the Burn, means simply water, and is unconnected to the Scots/English dour. For much of its history Aberdour was two villages, Wester Aberdour and Easter Aberdour, on side of the Dour Burn. Although this distinction was blurred by the 19th century arrival of the railway, in the 18th century Aberdours harbour was improved by the addition of a stone pier to help handle the coal traffic from nearby collieries. However, in the 1850s the traffic changed dramatically, and Aberdour Harbour became a destination for pleasure steamers from Leith. This in turn led to the building of a deeper water pier a little around the bay at Hawkcraig, the railway came to Aberdour in 1890, with the building of the line east from the newly opened Forth Bridge. The station has won many best kept station awards, the half an hour journey to the centre of Edinburgh helped build on the existing popularity of the village, though it put the steamers out of business. The main result was a growth in the building of large and attractive houses, ticket inspectors on the train line through Aberdour were known for their sing song refrain, Half an hour, Half an hour, Half an hour to Aberdour - tickets please. Virtually between the two settlements, though actually part of Easter Aberdour, lies Aberdour Castle. This started life as a modest hall house on a site overlooking the Dour Burn in the 13th century, the oldest part of the present semi-ruin constitutes one of the earliest surviving stone castles in mainland Scotland. Over the next four hundred years the Castle was successively developed according to architectural ideas. Notable are the parts, still largely roofed, built by the Earls of Morton, with refined Renaissance detail, Aberdour Castle is now in the care of Historic Scotland and open to the public. After a period of dereliction Aberdour House was developed for use in the early 1990s

Abalone [videos]
Abalone ((listen) or ; via Spanish abulón, from the Rumsen language aulón) is a common name for any of a group of
Living abalone in tank showing epipodium and tentacles, anterior end to the right.
The iridescent surface inside a red abalone shell from Northern California (the adjacent coin is 25 mm in diameter)
Abalone with a live sponge on its shell in Póvoa de Varzim, Portugal
An abalone farm
Aberdeen [videos]
Aberdeen ((listen); Scots: Aiberdeen, listen ; Scottish Gaelic: Obar Dheathain [ˈopər ˈʝɛ.ɛɲ]; Latin: Aberdonia) is
Clockwise from top-left: Marischal College, West Tower of the new Town House on Union Street, River Don view from Tollohill Woods, Old Aberdeen High Street, Aberdeen Beach
The Town House, Old Aberdeen. Once a separate burgh, Old Aberdeen was incorporated into the city in 1891
The Castlegate and Union Street (c.1900)
The Powis gate Old Aberdeen
Aberdeen, Hong Kong [videos]
Aberdeen (listen) is an area and town on southwest Hong Kong Island in Hong Kong. Administratively, it is part of the
Image: Aberdeen Harbour in 2016
The entrance of the Aberdeen Square in Aberdeen Centre
Aberdeen Municipal Services Building
Jumbo Floating Restaurant
Abu Sayyaf [videos]
Abu Sayyaf ((listen) ; Arabic: جماعة أبو سياف‎; Jamāʿat Abū Sayyāf, ASG; Filipino: Grupong Abu Sayyaf), unofficially
Survivor Warren Rodwell (2010) prior to abduction by Abu Sayyaf
Kjartan Sekkingstad (left), one of the people kidnapped by the ASG in Samal Island in 2015, meets with President Rodrigo Duterte (right) after his release from ASG captivity.
Image: Jainal Antel Sali, Jr
Image: Terhapilon 2000
John Quincy Adams ((listen); July 11, 1767 – February 23, 1848) was an American statesman who served as a diplomat,
Gilbert Stuart Portrait of Louisa Adams (1821–26)
1815 US passport issued by John Quincy Adams at London
Adams portrait - Gilbert Stuart, 1818
Adelaide ((listen) AD-ə-layd) is the capital city of the state of South Australia, and the fifth-most populous city
From top to bottom:
North Terrace in 1841
Intersection of North Terrace and King William Street viewed from Parliament House, 1938.
In biology, adipose tissue (listen), body fat, or simply fat is a loose connective tissue composed mostly of
Adipose tissue is one of the main types of connective tissue.
The obese mouse on the left has large stores of adipose tissue. It is unable to produce the hormone leptin, resulting in obesity. For comparison, a mouse with a normal amount of adipose tissue is shown on the right.
Morphology of three different classes of adipocytes
Image: Yellow adipose tissue in paraffin section lipids washed out
Aeroflot [videos]
PJSC Aeroflot – Russian Airlines (Russian: ПАО "Аэрофло́т — Росси́йские авиали́нии", PAO Aeroflot—Rossiyskiye
An early Soviet poster calling on citizens to buy stock in Dobrolyot.
The Tupolev ANT-20bis was used for cargo flights from Moscow to Mineralnye Vody before World War II
An Aeroflot PS-84 (a Douglas DC-3, modified by fitment of Soviet engines) at Moscow City Airport in 1940. The Lisunov Li-2, a license-built version of the DC-3, would become the backbone of the fleet after the Great Patriotic War.
After its introduction in 1954, the Ilyushin Il-14 operated on Aeroflot's All-Union services.
Afghanistan [videos]
Afghanistan ((listen); Pashto/Dari: افغانستان‬, Pashto: Afġānistān [avɣɒnisˈtɒn, abɣɒnisˈtɒn], Dari: Afġānestān
Bilingual (Greek and Aramaic) edict by Emperor Ashoka from the 3rd century BCE discovered in the southern city of Kandahar
One of the Buddhas of Bamiyan. Buddhism was widespread before the Islamic conquest of Afghanistan.
The Friday Mosque of Herat is one of the oldest mosques in Afghanistan. (March 1962 photo)
Agoura Hills, California [videos]
Agoura Hills is a city in Los Angeles County, California. Its population was estimated to be at 20,843 in 2014, up from
View of Agoura Hills looking from southern edge of the Historic Quarter in December 2006.
An estate in Old Agoura
Map showing Agoura Hills Districts
Western Agoura Hills from the hills north of Morrison Ranch
Agra [videos]
Agra ((listen); Āgrā) is a city on the banks of the river Yamuna in the northern state of Uttar Pradesh, India. It is
Taj Mahal in Agra
The Red fort, Agra, c. 1820
Agra, Main Street, c.1858
Map of the city, ca 1914
Alamance County, North Carolina [videos]
Alamance County (listen) is a county located in the U.S. state of North Carolina. As of the 2010 census, the
Alamance Cotton Factory, built by Edwin M. Holt, first manufacturer of colored cotton fabrics in the South on power looms. Photograph taken in 1837 after factory constructed.
Old Dam at Cedarock Park
Interstates 85 and 40 run concurrently as seen from Exit 141 in Burlington, facing east. The Interstates run east to west through the central part of the county.
Alaska ((listen)) is a U.S. state located in the northwest extremity of North America. The Canadian administrative
Denali is the highest peak in North America.
Augustine Volcano erupting on January 12, 2006
A modern Alutiiq dancer in traditional festival garb.
Albania [videos]
Albania ((listen) a(w)l-BAY-nee-ə; Albanian: Shqipëri/Shqipëria; Gheg Albanian: Shqipni/Shqipnia or
In the 4th century BC, Scodra has been declared the royal capital of the Illyrian tribe of the Ardiaean Kingdom.
The Greek colony of Apollonia was an important port city on the Illyrian coast along the Adriatic Sea and one of the western points of the Via Egnatia route, that connected Rome and Constantinople.
Krujë was the royal seat of the Principality of Arbanon, the first Albanian state in the middle ages.
The League of Prizren building in Prizren from inside the courtyard.
Albany, New York [videos]
Albany ((listen) AWL-bə-nee) is the capital of the U.S. state of New York and the seat of Albany County. Roughly 150
Clockwise from top: Albany skyline from Rensselaer; middle-class housing in the Helderberg neighborhood; Palace Theatre; Empire State Plaza from the Cultural Education Center; North Pearl Street at Columbia Street; and the State Quad at SUNY Albany.
Southwest corner of the Cultural Education Center on Empire State Plaza housing the State Museum, Library, and Archives.
Alberta [videos]
Alberta ((listen)) is a western province of Canada. With an estimated population of 4,067,175 as of 2016 census, it
Winter scene at Banff Trail station in Calgary
Prairie in Alberta
Satellite image of wildfires in Alberta
Alhambra, California [videos]
Alhambra (or ) is a city located in the western San Gabriel Valley region of Los Angeles County, California, United
Alhambra welcome sign
Downtown Alhambra, Garfield and Main, 1890
Alhambra, 1920
Los Angeles County Department of Public Works headquarters building, which was the former Sears Western headquarters
Alnwick [videos]
Alnwick ((listen) AN-ik) is a market town in north Northumberland, England, of which it was the traditional county
Image: Alnwick and Alnwick Castle Northumberland 140804
Barter Books in Alnwick
Alnwick marketplace at night in winter
Bailiffgate Museum, a local history museum
Alnwick Castle [videos]
Alnwick Castle ((listen)) is a castle and stately home in Alnwick in the English county of Northumberland. It is the
Image: Alnwick Castle 02
Isometric view of Alnwick Castle, 1866
Alnwick Castle, chromolithograph by Alexander Francis Lydon, 1870
Alnwick Castle by J.M.W. Turner
Altrincham [videos]
Altrincham ((listen) OL-tring-əm) is a market town in Trafford, Greater Manchester, England, south of the River
Image: Goose Green Altrincham, Cheshire geograph.org.uk 1608511
A milestone along the Barton Bridge and Moses Gate turnpike road near Eccles, showing the spelling of "Altringham"
Altrincham Town Hall
Arms of the former Altrincham Municipal Borough Council
Aluminium [videos]
Aluminium or aluminum is a chemical element with symbol Al and atomic number 13. It is a silvery-white, soft,
Etched surface from a high purity (99.9998%) aluminium bar, size 55×37 mm
Bauxite, a major aluminium ore. The red-brown color is due to the presence of iron minerals.
The statue of Anteros in Piccadilly Circus, London, was made in 1893 and is one of the first statues cast in aluminium.
Aluminium factory in Griesheim, Germany, constructed in 1915
American Samoa [videos]
American Samoa ((listen); Samoan: Amerika Sāmoa, [aˈmɛɾika ˈsaːmʊa]; also Amelika Sāmoa or Sāmoa Amelika) is an
1896 map of the Samoa Islands.
German, British and American warships in Apia Harbor, Samoa, 1899.
Rear Admiral. Benjamin Franklin Tilley, the first Governor of American Samoa (1900–1901)
The Samoan Clipper
Amherst College [videos]
Amherst College ((listen) AM-ərst) is a private liberal arts college located in Amherst, Massachusetts, United
Fayerweather Hall
Frost Library
College Row, consisting of Williston, South, North, and Appleton Halls, with Johnson Chapel at center
Amherst, Massachusetts [videos]
Amherst ((listen)) is a town in Hampshire County, Massachusetts, United States, in the Connecticut River valley. As
Amherst Center. Shops along the west side of South Pleasant Street, February 2005.
UMass, looking southeast
Town Hall
Image: Flag Of Amherst MA
Amherst, New York [videos]
Amherst ((listen)) is a town in Erie County, New York, United States. As of the 2010 census, the town had a total
Image: The Dent Tower in Amherst, New York
Image: 20090410 Amherst Municipal Building
Image: Town of Amherst Police 1
Andorra [videos]
Andorra ((listen); Catalan: [ənˈdorə], locally [anˈdɔra]), officially the Principality of Andorra (Catalan: Principat
Roc de les Bruixes prehistorical sanctuary located in Canillo (detail)
Charlemagne instructing his son Louis the Pious
Monument commemorating in 1978 the 700th anniversary of the Paréages, located outside Casa de la Vall in the capital city of Andorra la Vella
Boris Skossyreff, briefly self-proclaimed "King of Andorra" in 1934
Outline of Andorra [videos]
The following outline is provided as an overview of and topical guide to Andorra: — Principality of Andorra – small
An enlargeable satellite image of Andorra in August
Estanys Forcatsdeux, two alpine lakes located near the Pic de Médécourbe and the Pic de Coma Pedrosa
Aerial view of Ordino
View of Andorra la Vella and a small part of Escaldes-Engordany
Maya Angelou [videos]
Maya Angelou ((listen); born Marguerite Annie Johnson; April 4, 1928 – May 28, 2014) was an American poet, memoirist,
Angelou reciting her poem "On the Pulse of Morning" at President Bill Clinton's inauguration, January 1993
Angelou's first album, Miss Calypso, produced in 1957, was made possible by the popularity of her nightclub act.
Angelou's friend James Baldwin was instrumental in the publication of her first autobiography.
Maya Angelou speaking at a rally for Barack Obama, 2008
Antigua and Barbuda [videos]
Antigua and Barbuda ((listen); an-TEE-gǝ ǝnd bar-BEW-dǝ) is a sovereign state in the Americas, lying between the
Antigua in 1823
English Harbour, Antigua
Downtown St. John's on Antigua.
St. John's parish on Antigua.
Antwerp [videos]
Antwerp ((listen), Dutch: Antwerpen [ˈɑntʋɛrpə(n)] (listen), French: Anvers [ɑ̃vɛʁ(s)]) is a Flemish city in
Image: OLV Kathedraal
Osias Beert the Elder, from Antwerp. Dishes with Oysters, Fruit, and Wine, c. 1620/1625
The Sack of Antwerp in 1576, in which about 7,000 people died.
The A34 is a major road in England. It runs from the A33 and M3 at Winchester in Hampshire, to the A6 and A6042 in
The A34 looking North towards Didcot, in Oxfordshire, with the power station visible
Kingsway in Manchester where the A34 nears the end of its route.
Image: The A34, Donnington
Abiquiú, New Mexico [videos]
Abiquiú (or Abiquiu (listen)) is a small census-designated place located in Rio Arriba County, in northern New Mexico
The adobe St. Thomas Church in Abiquiú
Abiquiú Post Office
Abiquiu church and plaza around 1920.
Image: NM Map doton Abiquiu
Ahmedabad ((listen)), also known as Amdavad is the largest city and former capital of Gujarat, which is a state in
Clockwise from topː Gandhi Smarak Sangrahalay at Sabarmati Ashram, Ahmedabad Railway Station, CEPT University, Kankaria Lake and the Kirti Stambh at Hutheesing Temple
Ahmedabad and its environs, ca 1914
Dr. Vikram Sarabhai and Smt. Mrinalini Sarabhai
Albuquerque, New Mexico [videos]
Albuquerque ((listen) AL-bə-kur-kee; Navajo: Beeʼeldííl Dahsinil /pèːʔèltíːl tɑ̀xsɪ̀nɪ̀l/) is the most populous city
Downtown Albuquerque in the 1880s
Old Albuquerque High, built in 1914 (Victorian and Gothic styles were used in the late 19th and early 20th centuries)
Depiction of downtown Central Avenue, circa 1940s
Outline of Algeria [videos]
The following outline is provided as an overview of and topical guide to Algeria: — Algeria – former French colony and
An enlargeable relief map of the People's Democratic Republic of Algeria
The Djemila Roman Theater
Local market in Ghardaïa (1971).
An enlargeable basic map of Algeria
The following outline is provided as an overview of and topical guide to the U.S. state of Alaska: — Alaska – most
An enlargeable topographical map of the state of Alaska
A satellite photo of Alaska during winter.
clockwise from top left, Anchorage, sled dogs, Vitus Bering, brown bear with salmon, two Tlingit girls, an Aleut man, willow ptarmigan, Senator Ted Stevens, Denali (center)
Aberdour [videos]
Aberdour ((listen); Scots: Aiberdour, Scottish Gaelic: Obar Dobhair) is a scenic and historic village on the south
Image: Aberdour Harbour
St Fillan's Church
Christiane Amanpour [videos]
Christiane Amanpour, CBE ((listen); Persian: کریستین امان‌پور‎, translit. Kristiāne Amānpur; born 12 January 1958) is
Amanpour at the 2011 Time 100 gala
Amanpour at the 2009 World Economic Forum in Davos
With U.S. Secretary of State John Kerry in Vienna, Austria, on July 14, 2015
Anstruther [videos]
Anstruther (listen) (Scots: Ainster (listen) or /ˈɐ̟nstər/; Scottish Gaelic: Ànsruthair) is a small town in Fife,
Image: Anstruther Seafront
Anstruther from Wester Anstruther.
Surface structure leading to "Scotland's Secret Bunker"
Abdulsalami Abubakar [videos]
Abdulsalami Abubakar ((listen); born June 13, 1942) is a retired Nigerian Army General who was Military Head of State
Abubakar at the UN on 24 September 1998
Image: NAF LOGO
Defence Service Medal (Nigeria)
Forces Service Star (Nigeria)
Chimamanda Ngozi Adichie ((listen); born 15 September 1977) is a Nigerian writer of novels, short stories, and
Adichie on the cover of Ms. magazine in 2014
Alcester [videos]
Alcester ((listen) or ) is a market town and civil parish of Roman origin at the junction of the River Alne and River
Image: Alcester
Flood in July 2007
Algorithm [videos]
In mathematics and computer science, an algorithm ((listen) AL-gə-ridh-əm) is an unambiguous specification of how to
Alan Turing's statue at Bletchley Park
The example-diagram of Euclid's algorithm from T.L. Heath (1908), with more detail added. Euclid does not go beyond a third measuring, and gives no numerical examples. Nicomachus gives the example of 49 and 21: "I subtract the less from the greater; 28 is left; then again I subtract from this the same 21 (for this is possible); 7 is left; I subtract this from 21, 14 is left; from which I again subtract 7 (for this is possible); 7 is left, but 7 cannot be subtracted from 7." Heath comments that, "The last phrase is curious, but the meaning of it is obvious enough, as also the meaning of the phrase about ending 'at one and the same number'."(Heath 1908:300).
"Inelegant" is a translation of Knuth's version of the algorithm with a subtraction-based remainder-loop replacing his use of division (or a "modulus" instruction). Derived from Knuth 1973:2–4. Depending on the two numbers "Inelegant" may compute the g.c.d. in fewer steps than "Elegant".
Image: Euclid's algorithm structured blocks 1
Acushnet, Massachusetts [videos]
Acushnet ((listen))is a town in Bristol County, Massachusetts, United States. The population was 10,303 at the 2010
Acushnet Town Hall
Image: Acushnet MA seal
Image: Acushnet ma highlight
Outline of Albania [videos]
The following outline is provided as an overview of and topical guide to Albania: — Republic of Albania – sovereign
An enlargeable satellite image of Albania
An enlargeable map of the Republic of Albania
The location of Albania
An enlargeable basic map of Albania
Alexander Ankvab [videos]
Aleksandr Ankvab ((listen) AHNK-vahb; Abkhaz: Алықьсандр Анқәаб, Georgian: ალექსანდრე ანქვაბი, Russian: Алекса́ндр
Image: Alexander Ankvab 06.10.2011
Image: Alexander Ankvab Signature
Abbas Abdi [videos]
Abbas Abdi pronunciation (Persian: عباس عبدی‎; born 1 October 1956) is one of Iran's most influential reformists,
Abdi in 2016
Abu Hamza al-Masri [videos]
Mustafa Kamel Mustafa (Arabic: مصطفى كامل مصطفى‎; born 15 April 1958), also known as Abu Hamza al-Masri ((listen) أبو
Image: Abu Hamza al Masri
Aigburth [videos]
Aigburth ((listen)) is a suburb of Liverpool, Merseyside, England. Located to the south of the city, it is bordered
Image: Former Barclays Bank on Aigburth Rd, Liverpool
Aike [videos]
Aike (listen) measuring approximately 0.6 miles (1 km) by 1,600 feet (500 m), is a hamlet, locally known as a
Image: Aike, East Riding of Yorkshire, England (August 2005)