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Confluence

Confluence

A confluence is the merger or meeting of two or more objects (or subjects) that seem to inseparably bind their respective forces or attributes into a point of junction.

Geography

The word is typically used in geography to describe the point where two rivers meet and become one, usually when a tributary joins a more major river. It is also used to describe a location where integer latitude and integer longitude lines cross (i.e. the point in extreme northeastern New Jersey that is at 41° north latitude and 74° west longitude is such a confluence point).

Etymology

The word is comprised of the prefix con (from the Latin "com"), meaning "with" or "together", and joined with the suffix fluence from the Latin "fluere" meaning "to flow". The resulting meaning literally translates as "to flow together". It is interesting to note that the joining of both prefix and suffix to make the word confluence is a confluence in and of itself; both word parts join to form something that flows in the phenomenal river of language. The German city name Koblenz indicates, in Germanicized form, its site at the confluence of the Rhine and the Moselle.

HDL

Confluence is a modern functional hardware description language (HDL, but not to be confused with high density lipoproteins (HDL)).

Computer science

Confluence, given a rewrite system \mathcal in computer science, refers to the property, that a term may be rewritten in several ways, according to \mathcal, yet may be resolved to the same term after enough reduction steps. For example, in the lambda calculus confluence is shown via the Church-Rosser theorem. Confluent rewrite systems are very useful for analyzing provable equality in equational logic. This is because in a confluent system, an equation is provable precisely when both terms reduce to the same single term. This idea holds in many rewrite systems, including the typed and untyped lambda calculus. If \mathcal is a set of rewrite rules, we can show that if two terms M and N are reduced to the term P then the following equational axiom holds, : \mathcal_\vdash M=N[\Gamma]\ \iff\ M\hookrightarrow_P\hookleftarrow_N, given the set of equational hypotheses \mathcal, the rewrite relation \hookrightarrow defined as the reflexive, symmetrical and transitive closure of the single rewrite step \rightarrow and \Gamma a function mapping variables to types.

Local and global confluence

We can further characterize a rewrite system by the following properties:
- global confluence or just confluence holds if two terms M and N rewrite to P under the rewrite relation \hookrightarrow_ as opposed to,
- local confluence which is a strictly weaker system because we imply that the two terms M and N are provable equal, only if term M rewrites to P by an initial rewrite step over the relation \rightarrow_. That is M rewrites to P only if L\leftarrow M\rightarrow O implies L\hookrightarrow_P\hookleftarrow_O. The same applies for the rewrite relation over term N. It is important to distinguish the two because a system can be locally confluent, yet not globally confluent, shown in the example below.

Example

Consider the following, taken from [1]. Given the rewrite system, a\rightarrow b, b\rightarrow a, a\rightarrow a_0, b\rightarrow b_0 we can show that the system while locally confluent is not confluent in general. We show local confluence by noticing that the term a can rewrite to b and b can rewrite to a, a can then be rewritten to b. We don't have confluence because a can be rewritten to a_0, b rewritten to b_0. But since neither a_0 or b_0 can be reduced to the other, confluence fails. Thus intuitively, local confluence only guarantees that within a single reduction step we can rewrite one term to the other. While strong confluence not only guarantees the above, but also that for n steps of reduction we have local confluence, therefore by induction, the whole system is globally confluent. It is helpful to note that in a terminating rewrite system local confluence is the same as global confluence.

Critical pairs

An important notion is the critical pair. A critical pair is of terms representing an interaction between rewrite rules.

Left-linear rewrite system

To Do r2=6 x=2-1(8).

See also


- Degree Confluence Project

References

[1] Mitchel J. C., Foundations for Programming Languages, ISBN 0-262-13321-0, 1996, Massachusetts Institute of Technology. Category:Physical geography Category:Theory of computation

Geography

)]] Geography is the study of the locational and spatial variation of both natural and human phenomena on Earth. The word derives from the Greek words Ge (γη) or Gaea (γεια), both meaning "Earth", and graphein (γραφειν) meaning "to describe" and "to write". Modern geography is a diverse discipline that draws influence from almost every other arena of knowledge. Geographers engage with other disciplines according to their particular research interests and, while subjects such as biology and economics have a powerful influence, there are geographers who use concepts taken from subjects such as sociology, psychology and sports science, among many others. Within the discipline there have been many long-running tensions among those seeking to define geography - whether as a 'science' or as a 'humanity', as a 'systematic' subject or 'regional' specialism and so forth - which at various times have come close to destroying geography as an academic discipline. Whilst profound differences do exist among geographers, the dual concepts of space and place provide a commonality of interest, which gives the subject a unique identity.

Structure of geography

William Hughes - who taught the geography of the Holy Lands to divinity students at King's College London - defined geography in an address in 1863: :"Mere place names are not geography. To know by heart a whole gazeteer full of them would not, in itself, constitute anyone a geographer. Geography has higher aims than this: it seeks to classify phenomena (alike of the natural and of the political world insofar as it treats of the latter) to compare, to generalise, to ascend from effects to causes and in doing so to trace out the great laws of nature and to mark their influence upon man. In a word, geography is a science, a thing not of mere names, but of argument and reason, of cause and effect." This was a specific rejection of geography as a merely descriptive discipline and also defined it as inclusive of both the physical world and the human. Within the discipline, however, there are many areas of specialism. Modern geographers tend to specialise in one of the broad branches (or sub-branches). However, most introductory geography syllabuses seek to ensure that geographers have at least working knowledge of the main focus of each branch of the subject.

Physical geography

Physical geography (or physiogeography) focuses on geography as an Earth science. It aims to understand the physical layout of the Earth, its weather and global flora and fauna patterns. Many areas of physical geography make use of geology, particularly in the study of weathering and sediment movement. Physical Geography can be divided into the following broad categories:
- Geomorphology
- Hydrology
- Glaciology
- Biogeography
- Climatology
- Pedology (soil study)
- Coastal/Marine studies
- Geodesy
- Palaeogeography
- Environmental Geography and management
- Landscape ecology Exact lines between these different areas are often difficult to draw. Sometimes Oceanography is included as a branch within physical geography, but is now considered a separate subject in its own right. Related topics: Atmosphere - Archipelago - Continent - Desert - Island - Landform - Ocean - Sea - River - Lake - Ecology - Soil - Timeline of geography, paleontology - Geostatistics - Environmental science - Oceanography - Environmental studies

Human geography

Human geography is a branch of geography that focuses on the study of patterns and processes that shape human interaction with various environments. It encompasses human, political, cultural, social, and economic aspects. While the major focus of human geography is not the physical landscape of the Earth (see Physical geography) it is hardly possible to discuss human geography without referring to the physical landscape on which human activities are being played out, and environmental geography is emerging as a link between the two. Human geography can be divided into broad categories, such as:
- Economic geography
- Development geography
- Population geography or Demography
-
- Urban geography
- Social geography
- Behavioral geography
- Cultural geography
- Political geography, including Geopolitics
-
- Historical geography
- Regional science
- Strategic geography
- Military geography
- Feminist geography
- Distinction between these fields of study have become increasingly blurred over time and the above list should not be considered definitive. Related topics: Countries of the world - Country - Nation - State - Personal union - Province - County - City - Municipality - Central place theory - Urban morphology

Socio-environmental geography

During the time of environmental determinism, geography was defined not as the study of spatial relationships, but as the study of how humans and the natural environment interact. Though environmental determinism has died out, there remains a strong tradition of geographers addressing the relationships between people and nature. There are two main subfields of socio-environmental geography:
- cultural and political ecology (CAPE) and
- risk-hazards research.

Cultural and political ecology

Cultural ecology grew out of the work of Carl Sauer in geography and a similar school of thought in anthropology. It examined how human societies adapt themselves to the natural environment. Sustainability science has been one important outgrowth of this tradition. Political ecology arose when some geographers used aspects of critical geography to look at relations of power and how they affect people's use of the environment. For example, an influential study by Michael Watts argued that famines in the Sahel are caused by the changes in the region's political and economic system as a result of colonialism and the spread of capitalism.

Risk-hazards research

Research on hazards began with the work of geographer Gilbert F. White, who sought to understand why people live in disaster-prone floodplains. Since then, the hazards field has expanded to become a multidisciplinary field examining both natural hazards (such as earthquakes) and technological hazards (such as nuclear reactor meltdowns). Geographers studying hazards are interested in both the dynamics of the hazard event and how people and societies deal with it.

Historical geography

This branch seeks to determine how cultural features of the multifarious societies across the planet evolved and came into being. Study of the landscape is one of many key foci in this field - much can be deduced about earlier societies from their impact on their local environment and surroundings. ; What's in a name? Historical geography and the Berkeley School "Historical Geography" can indeed refer to the reciprocal effects of geography and history on each other. But in the United States, it has a more specialized meaning: This is the name given by Carl Ortwin Sauer of the University of California, Berkeley to his program of reorganizing cultural geography (some say all geography) along regional lines, beginning in the first decades of the 20th Century. To Sauer, a landscape and the cultures in it could only be understood if all of its influences through history were taken into account: Physical, cultural, economic, political, environmental. Sauer stressed regional specialization as the only means of gaining expertise on regions of the world. Sauer's philosophy was the principal shaper of American geographic thought in the mid-20th century. Regional specialists remain in academic geography departments to this day. But many geographers feel that it harmed the discipline in the long run: Too much effort was spent on data collection and classification, and too little on analysis and explanation. Studies became more and more area specific as later geographers struggled to find places to make names for themselves. This probably led in turn to the 1950s crisis in Geography which nearly destroyed it as an academic discipline.

History of geography

:See main article: History of geography History of geography The Greeks are the first known culture to actively explore geography as a science and philosophy. Mapping by the Romans as they explored new lands added new techniques. During the Middle Ages, Arabs such as Idrisi, Ibn Batutta, and Ibn Khaldun maintained the Greek and Roman techniques and developed new ones. Following the journeys of Marco Polo, interest in geography spread throughout Europe. The great voyages of exploration in 16th and 17th centuries revived a desire for both accurate geographic detail, and more solid theoretical foundations. This period is also known as Great Geographical Discoveries. By the 18th century, geography had become recognized as a discrete discipline and became part of a typical university curriculum in Europe (especially Paris and Berlin). Over the past two centuries the quantity of knowledge and the number of tools has exploded. There are strong links between geography and the sciences of geology and botany, as well as economics, sociology and demographics. In the West during the 20th century, the discipline of geography went through four major phases: environmental determinism, regional geography, the quantitative revolution, and critical geography.

Geographic techniques

As spatial interrelationships are key to this synoptic science, maps are a key tool. Classical cartography has been joined by a more modern approach to geographical analysis, computer-based geographic information systems (GIS).
- Cartography studies the representation of the Earth's surface with abstract symbols (map making). Although other subdisciplines of geography rely on maps for presenting their analyses, the actual making of maps is abstract enough to be regarded separately. Cartography has grown from a collection of drafting techniques into an actual science. Cartographers must learn cognitive psychology and ergonomics to understand which symbols convey information about the Earth most effectively, and behavioral psychology to induce the readers of their maps to act on the information. They must learn geodesy and fairly advanced mathematics to understand how the shape of the Earth affects the distortion of map symbols projected onto a flat surface for viewing. It can be said, without much controversy, that cartography is the seed from which the larger field of Geography grew. Most geographers will cite a childhood fascination with maps as an early sign they would end up in the field. mathematics
- Geographic Information Systems deals with the storage of information about the Earth for automatic retrieval by a computer, in an accurate manner appropriate to the information's purpose. In addition to all of the other subdisciplines of geography, GIS specialists must understand computer science and database systems. GIS has so revolutionized the field of cartography that nearly all mapmaking is now done with the assistance of some form of GIS software.
- Geographic quantitative methods deal with numerical methods peculiar to (or at least most commonly found in) geography. In addition to spatial analyses, you are likely to find things like cluster analysis, discriminant analysis, and non-parametric statistical tests in geographic studies.
- Geographic qualitative methods, or ethnographic research techniques, are used by human geographers. In cultural geography there is a tradition of employing qualitative research techniques also used in anthropology and sociology. Participant Observation and in-depth interviews provide human geographers with qualitative data. In their study geographers use four interrelated approaches:
- Systematic - Groups geographical knowledge into categories that can be explored globally
- Regional - Examines systematic relationships between categories for a specific region or location on the planet.
- Descriptive - Simply specifies the locations of features and populations.
- Analytical - Asks why we find features and populations in a specific geographic area.

Related fields

Urban and regional planning

Urban planning and regional planning use the science of geography to assist in determining how to develop (or not develop) the land to meet particular criteria, such as safety, beauty, economic opportunities, the preservation of the built or natural heritage, etcetera. The planning of towns, cities and rural areas may be seen as applied geography although it also draws heavily upon the arts, the sciences and lessons of history. Some of the issues facing planning are considered briefly under the headings of rural exodus, urban exodus and Smart Growth.

Regional science

In the 1950s the regional science movement arose, led by Walter Isard to provide a more quantitative and analytical base to geographical questions, in contrast to the more qualitative tendencies of traditional geography programs. Regional Science comprises the body of knowledge in which the spatial dimension plays a fundamental role, such as regional economics, resource management, location theory, urban and regional planning, transport and communication, human geography, population distribution, landscape ecology, and environmental quality.

Reference

See also


- List of geography topics
- Geographical terms
- List of countries
- Geography reference tables
- Map
- Geographical renaming
- Geographic magazines
- National Geographic Society (United States)
- National Geographic Bee (United States)
- Point of Beginning
- Royal Geographical Society (United Kingdom)

External links


- [http://www.confluence.org/ Confluence.org - A work in progress, involving travelling to every point on the globe where the lines of longitude and latitude intersect and taking a photograph in each direction.]
- [http://www.aag.org/ Association of American Geographers]
- [http://www.gisuser.com/ GISuser.com, information-rich portal about GIS]
- [http://www.populationdata.net/ PopulationData.net]
- [http://www.freemaps.de/ Free Maps Germany]
- [http://www.ericdigests.org/1996-4/high.htm Using Literature To Teach Geography in High Schools. ERIC Digest.]
- [http://ericdigests.org/1992-5/geography.htm Teaching Geography at School and Home. ERIC Digest.]
- [http://ericdigests.org/1996-1/geography.htm The National Geography Content Standards. ERIC Digest.]
- [http://www.geo-guide.de Geo-Guide] extensive list of academic resources on geography and earth science
- [http://www.geopium.org Geopium: Geopolitics of Illicit Drugs in Asia]
- [http://www.nationalgeographic.com/ National Geographic Online]
- [http://www.rgs.org Royal Geographical Society]
- [http://www.rcgs.org Royal Canadian Geographical Society]
- [http://www.canadiangeographic.ca Canadian Geographic]
- [http://hypergeo.free.fr Hypergeo : Geographical Encyclopedia]
- [http://www.rare-maps.com/links.cfm Antique and Rare Maps - Art Source International] - Links to rare and antique maps and to cartography resources.
- [http://www.mapinfo.com/ MapInfo GIS Software]
- Category:School subjects als:Geografie ko:지리학 ms:Geografi ja:地理学 simple:Geography th:ภูมิศาสตร์

River

:For the Second World War frigate class, see River class frigate. For the state of Nigeria, see Rivers State. MyScene.]] A river is a large natural waterway. It is a specific term in the vernacular for large streams, stream being the umbrella term used in the scientific community for all flowing natural waterways. In the vernacular, stream may be used to refer to smaller streams, as may creek, run, fork, etc. Passage via a river or stream is the usual way rainfall on land finds its way to the ocean or other large body of water such as a lake. A river consists of several basic parts, originating from headwaters or a spring at the source, that flow into the main stream. Smaller side streams that join the river are tributaries. Water flow is normally confined to a channel, with a bottom or bed between banks. The lower end of a river is its base level, commonly called its mouth, a river typically widens at its end and forms what is known as a river delta or estuary.

Topography

estuary.]]A river conducts water by constantly flowing perpendicular to the elevation curve of its bed, thereby converting the positional energy of the water into kinetic energy. Where a river flows over relatively flat areas, the river will meander: start to form loops and snake through the plain by eroding the river banks. Loops that are formed are sometimes cut off, forming a shorter river channel and leaving a remnant, oxbow lake. Rivers that carry large amounts of sediment develop conspicuous deltas at their mouths. Rivers whose mouths are in saline tidal waters may form estuaries. There are 4 main types of rivers. These types are:
- Youthful river - a river with a steep gradient that has very few tributaries and flows quickly. Its channels erode deeper rather than wider.
- Mature river - a river with a gradient that is less steep than those of youthful rivers and flows more slowly than youthful rivers. A mature river is fed by many tributaries and has more discharge than a youthful river. Its channels erode wider rather than deeper.
- Old river - a river with a low gradient and low erosive energy. Old rivers are characterized by flood plains.
- Rejuvenated river - a river with a gradient that is raised by the earth's movement. Where a river descends quickly over sloped topography, rapids with whitewater or even waterfalls occur. Rapids are often used for recreational purposes (see Whitewater kayaking). Waterfalls are sometimes used as sources of energy, via watermills and hydroelectric plants. Rivers begin at their source in higher ground, either rising from a spring, forming from glacial meltwater, flowing from a body of water such as a lake, or simply from damp, boggy places where the soil is waterlogged. They end at their base level where they flow into a larger body of water, the sea, a lake, or as a tributary to another (usually larger) river. In arid areas rivers sometimes end by losing water to evaporation and percolation into dry, porous material such as sand, soil, or pervious rock. The area drained by a river and its tributaries is called its watershed or catchment basin. (Watershed is also used however to mean a boundary between catchment basins.) Starting at the mouth of the river and following it upstream as it branches again and again the resulting river network forms a dendritic (tree-like) structure that is an example of a natural random fractal.

Biology

The flora and fauna of rivers are much different from those of the ocean because the water is fresh (non-salty). Living things in a river must be adapted to the current of the moving water.

Pollution

Human pollution of rivers is common, and very few rivers in the world today are clean of man-made substances. The most common pollutant is sewage piped into rivers, but chemical pollution is also common, and industrial accidents (and/or negligence) account for much of the destruction of riparian biomes. Heated water dumped into rivers by power plants and factories also affects river life.

Navigation

The Rhine is the busiest river in the world for transport ships. Inland vessels use the river to reach the major cities in Germany, Eastern France and Switzerland to transport bulk goods, liquids, containers AND passengers into the hinterland of the Port of Rotterdam and the ports of Amsterdam and Antwerp. Many millions of tons of goods are transported upstream yearly from these three sea ports to the industries near Nijmegen, Duisburg, Düsseldorf, Neuss, Köln, Koblenz, Mainz, Mannheim, Karlsruhe, Strasbourg, Colmar, Mulhouse and Basel. The lower part of the river is navigable for the largest inland vessels (up to 135 meters long and 17 meters wide) with an available depth of more than 2,50 even at the lower water levels. The further upstream, the more depth restrictions: at low water periods draught of ships is often limited to 1,90 m. for the stretch around Bingen (between the mouths of the Mosel and the Main). Upstream from Karlsruhe the Rhine is the border between France and Germany. The French have canalized the river by means of a series of hydropower dams and double ship locks, thus ensuring a year round navigable depth of 3.50 meters. (Source: NoorderSoft Waterways Database)

Dams

In places where the elevation changes of a river are great, dams for hydroelectric plants and other purposes are often built. This disrupts the natural flow of the river, and creates a lake behind the dam. Often the building of dams affects the whole of the river, even the part above the dam, as migrating fish are hindered (see fish ladder), waterflow is no longer bounded by seasonal changes and sediment flow is blocked. Dams are useful in many ways, such as providing HEP, acting as regulator of river flow so as to regulate the occurrence of flooding, which is especially important to wet-rice agriculture, and also to improve navigation and transport on the river. Often, dams such as Hoover Dam along Colorado River become famous tourist attractions. However, critics of dams, especially 'Green' advocates, argue that dams remove upper-river biodiversity such as through deforestation and forced migration of rural villages and indigenous tribes. Furthermore, trapping of river sediments behind the dams lead to salination and loss of nutrients for down-water fish. It also raises concern of eathquakes due to instablity of incompetent dams which have to support thousands of tonnes of sediments behind them. One very famous, and problematic, dam is the Aswan High Dam in the Nile.

Flooding

Flooding is a natural part of a river's cycles. Human activity, however, has upset the natural way flooding occurs by walling off rivers and straightening their courses. Removal of bogs, swamps and other wetlands in order to produce farmland has reduced the absorption zones for excess water and made floods into sudden disasters rather than gradual increases in water flow. In ancient Egypt, life was made possible through the floods of the Nile and the accompanying silt and sediment which enriched the fields with fresh nutrients. Nowadays, since people have built on these floodplains, floods are disasters, causing untold property loss each year. Human interference in the form of deforestation can also worsen conditions. The removal of vegetation leads to a reduction in Interception (vegetation stopping precipitation) and the 'weakening' of soil since plant roots no longer hold it together. As a result there is a reduced Infiltration capacity (how much water the soil can hold) and greater infiltration (precipitation going into the ground). This leads to faster soil saturation and therefore greater overland flow (also known as surface run off) and therefore, there are flash floods as the lag time decrease.

Logjams

Logjams are barriers within rivers, created by dead and uprooted trees. Over time, the obstruction prevents further logs to bypass, resulting in the creation of new network channels. According to author David R. Montgomery in his book, King of Fish, a logjam also causes water to buildup within a small space, forming peaceful pools within the main channel for young salmon to live within. The existence of these deep pools along with the complex web of channels creates an ideal salmon habitat. Today, many believe that the rebuilding of salmon runs is contingent upon reproducing the same environment shaped by logjams. As a result, many scientists have attempted to recreate artificial logjams. Marc Duboiski and Mike Ramsey of the Salmon Recovery Funding board staff, George Pess of the National Marine Fisheries Service, and Kevin Bauersfeld of Washington Department of Fish and Wildlife have prepared the Report to the Salmon Recovery Funding Board On the Engineered Log Jam (ELJ) Workshop ([http://iac.wa.gov/Documents/SRFB/Log_Jam_Report.pdf#search='log%20jams%20and%20salmon']), with the hope of mimicking natural logjams. Report to the Salmon Recovery Funding Board On the Engineered Log Jam (ELJ) Workshop."]]

Management

In its natural state a river may be inconvenient to man in a variety of ways. Rivers in inhabited areas have therefore been managed or controlled to make them more useful and less disruptive to human activity.
- The river channel may be dredged to make it deeper for navigation or to prevent flooding.
- Dams (see above) or weirs may be built to control the flow, store water, or extract energy.
- Levees may be built to prevent flooding.
- Sluice gates provide a means of controlling flow and adjusting river levels.
- floodways may be added to draw off excess river water in times of flood.
- Canals connect rivers to one another for water transfer or navigation.
- River courses may be modified to improve navigation, or straightened to increase the flow rate. River management is an ongoing activity as rivers tend to 'undo' the modifications made by man. Dredged channels silt up, sluice mechanisms deteriorate with age, levees and dams may suffer seepage or catastrophic failure.

River lists

(See also :Category:Lists of rivers.)

The world's ten longest rivers

It is difficult to measure the length of a river, mainly because rivers have a fractal property, which means that the more precise the measure, the longer the river will seem. Also, it's hard to state exactly where a river begins or ends, as very often, upstream, rivers are formed by seasonal streams, swamps, or changing lakes. This is an average measurement. # Nile (6,690 km) # Amazon (6,400 km) # Yangtze (Chang Jiang) (6,380 km) # Mississippi-Missouri (6,270 km) # Ob-Irtysh (5,570 km) # Huang He (Yellow) (5,464 km) # Amur (4,410 km) # Congo (4,380 km or 4,670 km). (The source of this river is disputed.) # Lena (4,260 km) # Mackenzie (4,240 km) For a longer list see Longest rivers. This also gives more information on measuring river lengths.

Well-known rivers (in alphabetic order)


- Aa - multiple rivers in Europe
- Amazon - largest river in the world
- American
- Amu Darya
- Amur - principal river of eastern Siberia
- Arkansas - major tributary of Mississippi River
- Arno - river through Florence
- Arvandrud (Shatt al-Arab) the large border river between Iran and Iraq.
- Brahmaputra - principal river in North East India & Tibet
- Chao Phraya - principal river of Thailand
- Colorado (Argentina)
- Colorado (U.S.) - principal river of American West
- Columbia - principal river of Pacific Northwest
- Congo - principal river of central Africa
- Danube - principal river of central and southeastern Europe
- De La Plata - the widest river in the world. South America
- Ebro - river in northwest Spain
- Elbe - major German river, Hamburg is situated on it
- Euphrates - twin principal river of Mesopotamia(Iraq)
- Ganges - principal river of India
- Han-gang - river of Seoul
- Helmand River - Principle river of (Afghanistan)
- Hari Rud (Afghanistan)
- Huang He (Yellow) - principal river of China
- Hudson - principal river of New York
- Indus - principal river of Pakistan
- Jordan - principal river of Israel
- Karun - principal (navigable) river of southern Iran.
- Kaveri - principal river of South India
- Lena - principal river of northeastern Siberia
- Mackenzie - longest river in Canada
- Magdalena - principal river of Colombia
- Main - river in Germany
- Mekong - principal river of Southeast Asia
- Mersey - river on which sits the English city of Liverpool
- Meuse - principal river of the southern provinces of the Netherlands and eastern Belgium.
- Mississippi - principal river of central United States
- Missouri - principal river of the Great Plains
- Murray - principal river of southeastern Australia
- Niger - principal river of west Africa
- Nile - Possibly the longest river in the world (or second after the Amazon)
- Ob - large river of Siberia
- Odra - major river in Eastern Europe
- Ohio - largest river between Mississippi and Appalachians
- Orinoco - principal river of Venezuela
- Parana - major South American river
- Paraguay - principal tributary of Parana river and major South American river in Brazil, Bolivia, Paraguay and Argentina
- Po - principal river of Italy
- Potomac River - principal river of the District of Columbia in the United States
- Rhine - principal river of northwestern Europe
- Rhône - principal river of southern France
- Rio Grande - border between United States and Mexico
- Saint Lawrence - drains Great Lakes
- Seine - river of Paris
- Segura- in southeast Spain
- Severn- longest river in Great Britain
- Shinano-gawa - longest river in Japan
- Snake - largest tributary to the Columbia river in Washington
- Tajo - largest river in the Iberian Peninsula
- Tay - largest river in Scotland
- Thames - river of London
- Tiber - river of Rome
- Tigris - twin principal river of Mesopotamia(Iraq)
- Tonegawa - largest river in Japan
- Vistula - principal river of Poland
- Volga - principal river of Russia
- Yangtze (Chang Jiang) - longest river in China
- Yenisei - large river of Siberia
- Yukon - principal river of Alaska and Yukon Territory
- Zambezi - principal river of southeastern Africa

Other lists


- List of waterways
- List of rivers by continent
  - List of rivers of Europe
    - Rivers of the United Kingdom
  - List of rivers of Asia
  - List of rivers of Africa
  - List of rivers of Australia
  - List of rivers of New Zealand
  - List of rivers of the Americas
  - List of rivers of Oceania
- List of river name etymologies

Rivers in myth and fiction

Real rivers


- The Thames in Edward Rutherfurd's London.
- The Thames in Jerome K. Jerome's Three Men in a Boat.
- The Thames and the Congo in Joseph Conrad's Heart of Darkness.
- The Mississippi in Mark Twain's Huckleberry Finn.
- The River Liffey through Dublin in James Joyce's Finnegans Wake.

Mythological rivers


- In Greek mythology, the Acheron, Cocytus, Phlegethon, Lethe and Styx (the five rivers of Hades); and the Eridanus.
- The Alph, an underground river imagined by various mystics and mentioned in Coleridge's poem Kubla Khan.
- The Sambation river stops flowing every Saturday.

Fictional rivers


- River Ankh traversing the city of Ankh-Morpork in Terry Pratchett's Discworld series.
- Chocolate river in Willy Wonka and the Chocolate Factory.
- River Djel in the country of Djelibeybi in Terry Pratchett's Discworld series.
- The River in the Riverworld novels of Philip José Farmer.
- Rivers of Middle-earth in various works of J. R. R. Tolkien.

See also


- Aquaduct
- Canal
- Drought
- Water dispute

Crossings

Rivers may be crossed by:
- bridges
- ferries
- fords
- tunnels.

Transport


- barge
- riverboat
- sailing
- towpath

External links


- [http://www.srbc.net/about.htm Management: River Basin Commissions]. Category:Bodies of water Category:Geomorphology zh-min-nan:Hô ja:川 ko:강 ms:Sungai simple:River th:แม่น้ำ

Integer

The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. They are also known as the whole numbers, although that term is also used to refer only to the positive integers (with or without zero). Like the natural numbers, the integers form a countably infinite set. The set of all integers is usually denoted in mathematics by a boldface Z (or blackboard bold, \mathbb), which stands for Zahlen (German for "numbers"). The term rational integer is used, in algebraic number theory, to distinguish these 'ordinary' integers, in the rational numbers, from other concepts such as the Gaussian integers.

Algebraic properties

Like the natural numbers, Z is closed under the operations of addition and multiplication, that is, the sum and product of any two integers is an integer. However, with the inclusion of the negative natural numbers, and, importantly, zero, Z (unlike the natural numbers) is also closed under subtraction. Z is not closed under the operation of division, since the quotient of two integers (e.g., 1 divided by 2), need not be an integer. The following table lists some of the basic properties of addition and multiplication for any integers a, b and c. In the language of abstract algebra, the first five properties listed above for addition say that Z under addition is an abelian group. As a group under addition, Z is a cyclic group, since every nonzero integer can be written as a finite sum 1 + 1 + ... 1 or (−1) + (−1) + ... + (−1). In fact, Z under addition is the only infinite cyclic group, in the sense that any infinite cyclic group is isomorphic to Z. The first four properties listed above for multiplication say that Z under multiplication is a commutative monoid. However, note that not every integer has a multiplicative inverse; e.g. there is no integer x such that 2x = 1, because the left hand side is even, while the right hand side is odd. This means that Z under multiplication is not a group. All the properties from the above table taken together say that Z together with addition and multiplication is a commutative ring with unity. In fact, Z provides the motivation for defining such a structure. The lack of multiplicative inverses, which is equivalent to the fact that Z is not closed under division, means that Z is not a field. The smallest field containing the integers is the field of rational numbers. This process can be mimicked to form the quotient field of any integral domain, where an integral domain is a commutative ring with unity such that whenever ab = 0, either a = 0 or b = 0. Although ordinary division is not defined on Z, it does possess an important property called the division algorithm: that is, given two integers a and b with b ≠ 0, there exist unique integers q and r such that a = q × b + r and 0 ≤ r < |b|, where |b| denotes the absolute value of b. The integer q is called the quotient and r is called the remainder, resulting from division of a by b. This is the basis for the Euclidean algorithm for computing greatest common divisors. Again, in the language of abstract algebra, the above says that Z is a Euclidean domain. This implies that Z is a principal ideal domain and any positive integer can be written as the products of primes in an essentially unique way. This is the fundamental theorem of arithmetic.

Order-theoretic properties

Z is a totally ordered set without upper or lower bound. The ordering of Z is given by : ... < −2 < −1 < 0 < 1 < 2 < ... An integer is positive if it is greater than zero and negative if it is less than zero. Zero is defined as neither negative nor positive. The ordering of integers is compatible with the algebraic operations in the following way: # if a < b and c < d, then a + c < b + d # if a < b and 0 < c, then ac < bc. (From this fact, one can show that if c < 0, then ac > bc.)

Integers in computing

An integer (sometimes known as an "int", from the name of a datatype in the C programming language) is often a primitive datatype in computer languages. However, integer datatypes can only represent a subset of all integers, since practical computers are of finite capacity. Variable-length representations of integers, such as bignums, can store any integer that fits in the computers memory. Other integer datatypes are implemented with a fixed size, usually a number of bits which is a power of 2 (4, 8, 16, etc.) or a memorable number of decimal digits (e.g., 9 or 10). In contrast, theoretical models of digital computers, such as Turing machines, typically do have infinite (but only countable) capacity.

Quotations

God invented the integers, all else is the work of man. Kronecker

External links


- [http://www.positiveintegers.org The Positive Integers - divisor tables and numeral representation tools] Category:Elementary mathematics Category:Group theory Category:Integers Category:Elementary number theory Category:Set theory ko:정수 ja:整数 th:จำนวนเต็ม

New Jersey

New Jersey is the fourth smallest and most densely populated state of the United States of America; the U.S. postal abbreviation is NJ. The state is named after the island of Jersey in the English Channel.

History

Once inhabited by the tribes of the Lenape Native Americans, New Jersey was settled by the Dutch in the early 1630s, who formed a settlement at present-day Jersey City. At the time, much of what is now New Jersey was claimed as part of the Dutch colony of New Netherland, which also included parts of present-day New York State and had its capital at New Amsterdam, now known as New York City. Some of southwestern New Jersey also was settled by the Swedes in the mid-1600s as part of the Swedish colony of New Sweden, which included parts of Delaware and southeastern Pennsylvania. These territories were taken by the Dutch in 1654 and incorporated into New Netherland. The entire region became a territory of Britain in 1664 when a British fleet under the command of Colonel Richard Nicolls sailed into what is today New York Harbor and took over the colony. They met minimal resistance, perhaps because of the unpopularity of the Dutch colonial governor, Peter Stuyvesant. The newly taken lands were divided by King Charles II of England, who gave his brother, the Duke of York (later King James II) the region between New England and Maryland as a proprietary colony (as opposed to a royal colony). James then granted the land between the Hudson River and the Delaware River (the land that would become New Jersey) to two friends who had been loyal through the English Civil War: Sir George Carteret and Lord Berkeley of Stratton. During the English Civil War the Channel Isle of Jersey remained loyal to The English Crown and gave sanctuary to the King. It was from the Royal Square in St. Helier that Charles II of England was first proclaimed King of England in 1649, following the execution of his father, Charles I of England. In 1663 in recognition of his loyalty to the English Crown Sir George Carteret, Jersey's Royalist Governor, was gifted a large tract of land in North America henceforth known as New Jersey. Settlement for the first 10 years of English rule was in the Hudson River region and came primarily from New England. The first permanent English settlement was Elizabethtown, now Elizabeth. On March 18, 1673 Berkeley sold his half of New Jersey to Quakers in England (with William Penn acting as trustee for a time) who settled the Delaware Valley region as a Quaker colony. New Jersey was governed as two distinct provinces, West Jersey and East Jersey, for the 28 years between 1674 and 1702. In 1702, the two provinces were united under a royal, rather than a proprietary, governor.

Revolutionary War era

New Jersey was one of the thirteen colonies that revolted against British rule in the American Revolution. During the American Revolutionary War, British and American armies crossed New Jersey numerous times and several pivotal battles took place in the state. Today, New Jersey is often referred to as "The Crossroads of the Revolution" because of that. On Christmas, 1776, the Continental Army under George Washington crossed the Delaware River and engaged the unprepared Hessian troops in the Battle of Trenton. The river crossing has become an iconic moment in the early history of the United States of America, having been immortalized in Emanuel Gottlieb Leutze's painting Washington Crossing the Delaware. Slightly more than a week after victory at Trenton, on January 3, 1777, the American forces scored an important victory by making a surprise attack on Princeton, evading the British under Charles Cornwallis. Later on, the American forces underneath George Washington engaged the forces underneath General Henry Clinton at the Battle of Monmouth. The result of the battle was indecisive. In the summer of 1783, the Continental Congress met in Nassau Hall at Princeton University, making Princeton the nation's capital for four months. It was there that the Continental Congress learned of the signing of the Treaty of Paris (1783) which ended the war. On November 20, 1789, the state became the first in the newly-formed Union to ratify the Bill of Rights. Ironically, on February 15, 1804 New Jersey became the last northern state to abolish slavery by enacting legislation that slowly phased out slavery. However, by the close of the Civil War, about a dozen African-Americans in New Jersey were still apprenticed freedmen. New Jersey initially refused to ratify the Constitutional Amendments banning slavery and granting rights to America's Black population.

Women's suffrage

The [http://www.state.nj.us/njfacts/njdoc10a.htm New Jersey Constitution of 1776] gives the vote to "all inhabitants of this Colony, of full age, who are worth fifty pounds proclamation money." This included blacks, spinsters, and widows. (Married women could not own property under the common law.) It used to be held that this was an accident of hasty drafting: the British were at Staten Island when the constitution was proclaimed, and it declares itself temporary, void if there was reconciliation with Great Britain. Klinghoffer and Elkis ("The Petticoat Electors: Women’s Suffrage in New Jersey, 1776–1807." Journal of the Early Republic 12, no. 2 (1992): 159–193.) show that it was a considered decision, and enforced by later law. Both sides in elections mocked the other for relying on "petticoat electors"; both accused each other of letting unqualified women (including married women) vote. A Federalist legislature passed a voting rights act which applied only to those counties where the Federalists were strong; a Democratic legislature extended it to the entire state. In 1807, as a side-effect of a reconciliation within the Democratic Party, the legislature reinterpreted the constitution (which had been an ordinary act of the Provincial Congress) to mean universal white male suffrage, with no property requirement; but they disenfranchised paupers, to keep down the Irish.

Law and government

The state capital of New Jersey is Trenton. Jon Corzine was elected Governor of New Jersey on November 8, 2005, and will take office on January 17, 2006. Currently, Richard Codey (Democrat) is the Acting governor, because he is (and concurrently serves as) President of the State Senate. Former Governor James E. McGreevey resigned on November 15, 2004, and New Jersey (along with Arizona, Maine, New Hampshire, Oregon, Tennessee, West Virginia, and Wyoming) had no position of Lieutenant Governor at the time. However, on Election Day, November 8, 2005, the voters passed an amendment to the state constitution that creates the position of Lieutenant Governor, effective with the 2009 elections. The amendment also provides that in the event of a permanent vacancy in the office of Governor after January 17, 2006 (when the next Governor is sworn in) and before the first Lieutenant Governor takes office in 2010, the President of the Senate, followed by the Speaker of the General Assembly, would become Governor (rather than Acting Governor) but will now be required to vacate his or her Senate (or Assembly) seat. The New Jersey governor is considered one of the most powerful governorships in the nation, as it is the only state-wide elected office in the state and appoints many government officials. Additionally, an acting governor is even more powerful as he simultaneously serves as president of the senate, thus directing the entire legislative and executive process. Current Acting Governor Codey will likely be the last Acting Governor to serve simultaneously as Senate President, as a result of the Constitutional amendment approved by the voters in 2005 (as the current dual role would remain in effect if Codey were to step down before the new Governor takes office). The state's two U.S. Senators are Frank R. Lautenberg (Democrat) and Jon Corzine (Democrat). As governor-elect, Corzine will appoint his own replacement after he steps down from the Senate and is sworn in as Governor in January. New Jersey has 13 Congressional Districts. New Jersey is a politically competitive state; the Governorship has alternated between the parties since the election of Richard J. Hughes in 1961; the legislature has also switched hands, and one house was evenly divided from 1999–2001. Three of the last four gubernatorial elections have been close. The Congressional seats have also been as evenly divided as thirteen seats can be. In national elections, the state now tends to lean towards the national Democratic Party. It was, however, a Republican stronghold for years in the past, having given comfortable margins of victory to the Republican candidate in the close elections of 1948, 1968, and 1976. New Jersey was a crucial swing state in the elections of 1960, 1968, and 1992. In national elections, the state gave large victories to Democrats in the 1990's, while in the 2004 presidential election, John F. Kerry defeated George W. Bush by about 6%. The last elected Republican to hold a Senate seat from New Jersey was Clifford P. Case in 1979. (Nicholas Brady was appointed a U.S. Senator by Governor Thomas Kean in 1982 after Harrison A. Williams resigned the Senate seat following the Abscam investigations. Brady served eight months. The state's Democratic strongholds include Mercer County around the cities of Trenton and Princeton; Essex County and Hudson County, the state's two most urban counties, around the state's two largest cities, Newark and Jersey City; as well as in Camden County and most of the other urban communities just outside of Philadelphia, Pennsylvania and New York City. More suburban northern counties in the orbit of New York, such as Union and Middlesex, also trend Democratic. The more suburban northwestern and southeastern counties of the state are reliably Republican: Republicans have strong backing along the coast in Ocean County and in the mountainous northwestern part of the state, especially Sussex County, Morris County and Warren County. Somerset and Hunterdon counties, more suburban counties in the region, are also Republican in local elections, but can be competitive in national races. In the 2004 General Election, Bush received about 51% in Somerset and 56% in Hunterdon, while up in rural Republican Sussex County, Bush won with 64% of the vote. About half of the counties in New Jersey, however, are considered swing counties, but some go more one way than others. For an example, Bergen County, which leans Republican in the northern half of the county, is mostly Democratic in the more populated southern parts, causing it to usually vote slightly Democratic (same with Passaic County, with a highly populated Hispanic Democratic south and a rural, Republican north), other "swing" counties like Cape May tend to go Republican, as they also have population in conservative areas. The governor's mansion is Drumthwacket.

New Jersey State Constitution

The [http://www.njleg.state.nj.us/lawsconstitution/constitution.asp constitution] was adopted in 1947. It provides for a bicameral Legislature consisting of a Senate of 40 members and an Assembly of 80 members. Each of the 40 legislative districts elects one Senator and two Assembly members. Assembly members are elected by the people for a two-year term in all odd-numbered years; Senators are elected in the years ending in 1, 3, and 7 and thus serve either four or two year terms.

The New Jersey Supreme Court

The New Jersey Supreme Court [http://www.judiciary.state.nj.us/supreme/index.htm] consists of a chief justice and six associate justices. All are appointed by the Governor with the advice and consent of a majority of the membership of the state senate. Justices serve an initial seven-year term, after which they can be reappointed to serve until age 70.

Geography

New Jersey is broadly divided into three geographic regions: North Jersey, Central Jersey, and South Jersey. North Jersey is within New York City's general sphere of influence, with many of its residents commuting into the city for work. Central Jersey is a largely suburban area. South Jersey is within Philadelphia, Pennsylvania's general sphere of influence. Such geographic definitions are broad, however, and there is often dispute over where one region begins and another ends. High Point Mountain, in Montague Township, Sussex County has the highest elevation in New Jersey. Sussex County, in North Jersey, and its Gold Coast featuring Goldman Sachs Tower.]] New Jersey is bordered on the north and northeast by New York, on the east by the Atlantic Ocean, on the south by Delaware, and on the west by Pennsylvania (the latter two across the Delaware River.) Prominent geographic features include:
- Delaware Water Gap
- Musconetcong River
- New Jersey Meadowlands
- The Palisades
- Passaic River
- Pine Barrens
- Rancocas River
- Raritan River
- Sandy Hook
- South Mountain

Economy

[http://www.bea.gov/ The Bureau of Economic Analysis] estimates that New Jersey's total state product in 2003 was $397 billion. New Jersey's per capita income is the highest in the nation. Its per capita personal income in 2003 was $40,427, 4th in the United States of America. Its median household income is also the highest in the nation with $55,146. It is also ranked 2nd in the nation by the number of places with per capita incomes above national average with 76.4%. Nine of New Jersey's counties are also in the wealthiest 100 of the country. Women in New Jersey earn the highest per capita income as stated in a 2002 article in the Newark Star-Ledger. Its agricultural outputs are nursery stock, horses, vegetables, fruits and nuts, seafood, and dairy products. In particular, cranberries and eggplant are two of the state's largest crops. Hammonton in the southern part of the state is known as the blueberry capital of the world. Its industrial outputs are pharmaceutical and chemical products, food processing, electric equipment, printing and publishing, and tourism. New Jersey's economy has a large base of industry and chemical manufacturing. Additionally, New Jersey is home to the largest petroleum containment system in the world, outside of the Middle East. Although the state is certainly not defined by these activities, their existence and visibility to those passing through the state along some of its major highways does contribute to many jokes about pollution and ironic plays on the state's nickname, the "Garden State." In terms of quantity and quality, New Jersey ranks ninth in the union, in the number of manufactured goods that come from this state's factories. New Jersey is also a leader in the number of businesses that have their headquarters or do business here. 50 Fortune 500 companies alone have headquarters or do business in Morris County alone. Nearly 100 Fortune 500 companies have headquarters or conduct business in New Jersey. This allows New Jersey to have the largest concentration of Fortune 500 companies in the world. Paramus is long noted for having one of the highest business per person ratio in the nation, because of the huge number of shops in that town and the surrounding area. Several New Jersey counties such as Essex, Morris, Middlesex, Union, and Bergen counties have been ranked in the World Almanac 2002, as being among the top 15 highest per person per capita income areas in the country. New Jersey has the nation's most diverse economy, with its major industries being agriculture, tourism, nursery products, electronics, manufacturing equipment, pharmacuticals, etc. It is for this reason, New Jersey is able to weather severe economic declines in the national economy and it is why New Jersey's unemployment rate is well below the national average. New Jersey's location between Philadephia and New York City, has allowed New Jersey to grow and thrive since the time of its creation as a state in 1702. Another of New Jersey's great strengths is its large and well-educated labor pool that allow the myriad of industries to exist today. The Port Newark-Elizabeth Marine Terminal is the world's largest container ports. Newark Liberty International Airport is ranked as number 7 in the top ten list of the nation's busiest airports and among the top 20 busiest airports in the world. Six Flags Great Adventure is one of the largest theme parks in the world. It is home to the largest wild safari out of Africa and is now home to the world's tallest and fastest coaster, Kingda Ka. As of 2001, New Jersey makes $30 billion each year from tourism as stated in the Star-Ledger's article The Best Of New Jersey. New Jersey is one of the top ten most visited states in the nation.

Demographics

As of 2004, the population of New Jersey was estimated to be 8,698,879. There are 1.6 million foreign-born living in the state (accounting for 19.2% of the state population). New Jersey is the tenth most populous state, but the most densely populated, at 1,134.4 residents per square mile. [http://www.njfaq.com/njfaq4.shtml].

Race, ethnicity, and ancestry

The racial makeup of New Jersey is:
- 66.0% White Non-Hispanic
- 13.6% Black
- 13.3% Hispanic
- 5.7% Asian
- 0.2% Native American (U.S. Census)
- 2.5% Mixed race New Jersey has the 15th largest percentage of minority residents of any state and the 2nd highest percentage in the North. Race/ethnicity citation with state percentages: [http://www.census.gov/population/cen2000/phc-t6/tab02.pdf](Adobe PDF) Diversity index citation with state percentages: [http://www.census.gov/population/cen2000/atlas/divers.xls](Microsoft Excel) It also has the second largest percentage of Jews (after New York), the second largest percentage of Muslims (after Michigan). New Jersey is the third most Italian-American state in the nation, according to the 2000 Census, and has large percentages of Blacks, Hispanics, Arabs, and Asians. Ancestry citation with state percentages: [http://www.census.gov/prod/2004pubs/c2kbr-35.pdf](Adobe PDF) The five largest ancestry groups in New Jersey are: Italian (17.9%), Irish (15.9%), African American (13.6%), German (12.6%), Polish (6.9%). Newark and Camden are two of the poorest cities in America, but New Jersey as a whole has the highest median household income in the nation, as well as the second highest per capita income, after Connecticut. This is largely due to the fact that so much of New Jersey is comprised of suburbs, most of them affluent, of New York City and Philadelphia. New Jersey is also the most densely populated state in the nation, and the first and only state that has had every one of its 21 counties deemed "urban," as opposed to rural. The dominant race, ethnicity, or ancestry by county, according to the 2000 Census, are the following:
- New Jersey
  - Italian - Bergen, Morris, Somerset, Ocean, Monmouth
  - Irish - Sussex
  - Black - Essex, Union, Mercer
  - German - Warren, Hunterdon
  - Polish/Slavic - Middlesex
  - Puerto Rican/Hispanic - Hudson, Passaic Ancestry citation with county maps: [http://www.census.gov/prod/2004pubs/c2kbr-35.pdf] (Adobe PDF) Specific ancestry maps by county, place, and census tract available at: [http://factfinder.census.gov] 6.7% of its population were reported as under 5, 24.8% under 18, and 13.2% were 65 or older. Females made up approximately 51.5% of the population.

Religion

The religious affiliations of adults of New Jersey are:
- Christian – 77%
  - Roman Catholic – 39%
  - Protestant – 36%
    - Baptist – 9%
    - Methodist – 6%
    - Presbyterian – 4%
    - Other Protestant or general Protestant – 17%
  - Other Christian – 2%
- Jewish – 5%
- Muslim – 1%
- Other Religions (e.g. Hindu, Sikh) – 1%
- Non-Religious – 16%

Culture

Music

New Jersey has long been an important area for both rock and rap music. Some prominent musicians with connections to New Jersey are:
- Musician Bruce Springsteen, who has sung of New Jersey life on his debut album, Greetings from Asbury Park, N.J. and in many of his most popular songs, including "Atlantic City," "Born to Run," "Darlington County," "Freehold," "Jersey Girl" (written by Tom Waits), "Jungleland," "Spirit in the Night," and others. Fellow musician Jon Bon Jovi has also written many songs about New Jersey and even named one of his albums after it (see New Jersey). Both reside in New Jersey today.
- Frank Sinatra, born December 12, 1915, the only child of working-class Italian-American immigrants, in a tenement at 415 Monroe St. in Hoboken. He sang with a neighborhood vocal group, the Hoboken Four, and appeared in neighborhood theater amateur shows before he became an entertainment legend and Academy Award winning actor.
- Whitney Houston was born in the city of Newark, New Jersey but grew up in neighboring East Orange, and is best known for her cover of Dolly Parton's "I Will Always Love You" which set new records for sales and weeks at number one. Houston has sold well over 180 million records internationally.
- Bob Dylan's song "Hurricane" is about the accusation and trial of Rubin Carter which took place in Paterson. Dylan's view is that Carter was innocent. (In 1985, United States district court Judge H. Lee Sarokin ruled that Carter had not received a fair trial, saying that the prosecution had been "based on racism rather than reason, and concealment rather than disclosure.")
- Legendary jazz pianist and bandleader Count Basie, born in Red Bank in 1904. In the 1960s, he collaborated on several albums with fellow New Jersey native Frank Sinatra.
- Asbury Park, home of The Stone Pony, where Springsteen and Bon Jovi frequented early in their careers, which is still considered by many to be a "Mecca" for up-and-coming musicians.
- The Velvet Underground, who had their first performance as a band at Summit High School in Summit, New Jersey. Songs included "There She Goes Again" and "Heroin."
- Jerseyan Zakk Wylde of Jersey City, who is currently the guitarist with Ozzy Osbourne and is with another popular rock band, Black Label Society. Wylde is famous for his signature "Bulls-eye" Gibson Les Paul guitar.
- Former Fugee Lauryn Hill, a South Orange resident and hip-hop's best-selling solo female artist. Her 1998 debut album, The Miseducation of Lauryn Hill, sold 10 million copies internationally.
- Hip-hop's longest running radio show, founded by two Jerseyans, Special K (Kevin Bonners) and Teddy Ted (Ted Whiting) of Hackensack, who began on New York's WHBI in 1982 and now appear on WPAT-AM.
- Other rap artists, including Irvington's Queen Latifah, the first female rapper to succeed in music, film, and TV, and the Grammy-winning Naughty By Nature of East Orange, who cut 1992's smash hit "O.P.P." Redman, an influential underground figure and Newark native, has recently found commercial success through collaborations with Eminem and the Wu-Tang Clan's Method Man.
- Singer/Actor Constantine Maroulis, a popular finalist on the television show, American Idol, Season 4 (2005), spent a good portion of his formative years in Wyckoff, where he graduated from Ramapo High School. Maroulis is developing a television sitcom which is based on his growing up years in New Jersey and the surrounding metropolitan New York City area.
- Musical artists Fountains of Wayne [http://www.fountainsofwayne.com/home/], a group of New Jerseyians who took the name of a semi-famous lawn and garden store [http://www.roadsideamerica.com/attract/NJWAYfountains.html] on Route 46 in Wayne, New Jersey (also featured on an episode of The Sopranos).
- The band Snowball 37 [http://www.snowball37.com/], a group of brothers who were inspired by a Kevin Smith reference, is based out of Jersey City.
- The genre Emo until recently thrived in New Jersey, particularly near New Brunswick. Such bands that fit into this category include Thursday, My Chemical Romance, Midtown, Senses Fail, Saves The Day, Hidden In Plain View, The Early November, Armor For Sleep, The Escape Engine, for some more popular bands, recently, the growth of Jersey emo bands has seen somewhat of a decrease as the genre has moved elsewhere.
- Punk music is also an important alternative style in New Jersey, perhaps starting with the band that essentially invented horror punk, The Misfits from Lodi, in the 90s, The Bouncing Souls and Catch 22 were also prominent figures in New Jersey punk, strongly influenced by New Brunswick's Sticks and Stones.
- The DeLeo brothers of Stone Temple Pilots are both from New Jersey. The brothers, Dean and Robert, are the guitarist and bassist for the band.
- Pete Yorn is another New Jersey artist. He has two albums out: musicforthemorningafter (2001) and Day I Forgot (2003).
- Deborah Harry from Blondie was raised in Hawthorne, New Jersey.
- Blues Traveler was formed at Princeton High School in 1987. John Popper, along with high school buddies drummer Brendan Hill, guitarist Chan Kinchla and the late bassist Bobby Sheehan are all natives of New Jersey.
- Spin Doctors began as Trucking Company in 1989 with Chris Barron (lead singer) and Eric Schenkman and were high school friends of the aformentioned Blues Traveler frontman John Popper at Princeton High School.
- American Idol season 4 contestant Anwar Robinson, considered to be one of AI's most talented male singers, was born in Newark and grew up in East Orange and Montclair, in addition, he teaches music at Edison Middle School in West Orange
- Legendary rock band Queen (touring with Bad Company frontman Paul Rodgers) chose a New Jersey venue - the Continental Airlines Arena - to perform their first USA concert in 23 years on October 16, 2005. The crowd surprised them with a strong reaction and plentiful participation, even in what were thought to be the lesser-known songs.
- The three members of the Fugees were from South Orange, New Jersey.
- Coheed and Cambria mentions the Jersey Devil in one of their songs
- Indie Rock band Yo La Tengo makes its home in Hoboken, New Jersey.

TV and film

Motion pictures and televisions shows also have been set in New Jersey. The popular television drama The Sopranos depicts the life of a New Jersey organized crime family and is filmed on location at various places throughout the state. Although not credited, at least one scene from The Godfather (1972) was filmed in New Jersey. The scene with Clemenza's famous line, "Leave the gun. Take the cannolis," was filmed in the marsh along the Hudson River in Jersey City, just west of the Statue of Liberty, in what is now Liberty State Park. The 2004 Sundance Film Festival favorite Garden State (starring Zach Braff and Natalie Portman) was shot on location in Morris Township. Also, the popular animated series Aqua Teen Hunger Force and Megas XLR take place primarily in New Jersey. Director Kevin Smith sets many of his films in New Jersey, particularly his "New Jersey Trilogy" of Clerks., Mallrats and Chasing Amy. The 2004 movie Jersey Girl is also based in New Jersey. Clerks. also had a short-lived animated series spin-off with the same name. It took place in the same locations as the movie. 2001's A Beautiful Mind had several scenes shot at Princeton University. The movie is a biopic of the mathematician John Nash, who currently lives in Princeton, New Jersey. Actor Jack Nicholson grew up on the Jersey shore, and went to Manasquan High School in Monmouth County. The 2004 stoner film Harold & Kumar Go to White Castle took place in New Jersey. Several locations seen in the movie include Princeton University, Newark, New Brunswick, and a fictional White Castle in Cherry Hill. Although supposedly set in New York, the 2003 movie School of Rock was filmed primarily in Edison and Mahwah, perhaps due to the significance these towns have on rock music. The 1988 comedy film Big starring Tom Hanks, Elizabeth Perkins, Robert Loggia, Jon Lovitz, and Mercedes Ruehl was also filmed in Bergen County, New Jersey. The 1983 cult classic Eddie and the Cruisers was filmed mostly in Somers Point and Ocean City. Bruce Willis grew up in Penns Grove, New Jersey. The movie War of the Worlds was filmed in many locations in New Jersey, including Bayonne and Newark. The infamous radio show broadcast starring Orson Welles, The War of t