1.
Post-hardcore
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Like post-punk, the term has been applied to a broad constellation of groups. Hardcore punk typically features very fast tempos, loud volume, and heavy bass levels, additionally, many of these bands vocalists were just as likely to deliver their lyrics with a whispered croon as they were a maniacal yelp. Allmusic also claims that post-hardcore bands find creative ways to build and release tension rather than airing their dirty laundry in short, sharp, british post-punk of the late 1970s and early 1980s has been seen as influential on the musical development of post-hardcore bands. As the genre progressed some of these groups also experimented with an array of influences, including soul, dub, funk, jazz. Groups such as Saccharine Trust, Naked Raygun, and The Effigies, during the early to mid-1980s, the desire to experiment with hardcores basic template expanded to many musicians that had been associated with the genre or had strong roots in it. Many of these also took inspiration from the 1980s noise rock scene pioneered by Sonic Youth. Some bands signed to the independent label Homestead Records, including Squirrel Bait, a reviewer noted that the groups 1989s release Wrong was one of the most aggressive and powerful opuses in post-hardcore ever made. During the years 1984 and 1985 in the scene, a new movement had swept over. When The Faith put out the EP Subject to Change in 1983 it marked an evolution in the sound of D. C. hardcore. This movement has been widely known as the Revolution Summer. Other bands have been perceived as taking inspiration from such as funk. According to Eric Grubbs, a nickname was developed for the new sound, with some considering it post-harDCore, the latter, mentioned in skateboarding magazine Thrasher, would come up in discussions around the D. C. area. In the nearby state of Maryland, similar bands that are categorized now as post-hardcore would also emerge and this group has also been considered as one of the earliest emo acts. The second half of the 1980s saw the formation of bands in D. C. which included Shudder to Think, Jawbox, The Nation of Ulysses. MacKaye described this period as the busiest that the Dischord Records label had ever seen. Most of these acts, along with ones, would contribute to the 1989 compilation State of the Union. It has also noted that the groups ever-evolving sound would signal a more experimental turn in hardcore that paved the way for later Dischord releases. Similarly, the debut studio album, 1990s Repeater, has also been generally regarded as a classic
2.
Progressive rock
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Progressive rock is a broad subgenre of rock music that developed in the United Kingdom and United States throughout the mid to late 1960s. Prog is based on fusions of styles, approaches and genres, Prog saw a high level of popularity in the early-to-mid 1970s, but faded soon after. Conventional wisdom holds that the rise of rock caused this. Music critics, who labelled the concepts as pretentious and the sounds as pompous and overblown. Early groups who exhibited progressive features are described as proto-prog. In 1967, progressive rock constituted a diversity of loosely associated style codes, the Canterbury scene, originating in the late 1960s, denoted a subset of prog bands who emphasised the use of wind instruments, complex chord changes and long improvisations. Rock in Opposition, from the late 1970s, was more avant-garde, in the 1980s, a new subgenre, neo-progressive rock, enjoyed some commercial success, although it was also accused of being derivative and lacking in innovation. Post-progressive draws upon newer developments in music and the avant-garde since the mid 1970s. The term progressive rock is synonymous with art rock, classical rock, historically, art rock has been used to describe at least two related, but distinct, types of rock music. Similarities between the two terms are that they describe a mostly British attempt to elevate rock music to new levels of artistic credibility. However, art rock is likely to have experimental or avant-garde influences. Prog was devised in the 1990s as a term, but later became a transferable adjective. Although a unidirectional English progressive style emerged in the late 1960s, by 1967, critics of the genre often limit its scope to a stereotype of long solos, overlong albums, fantasy lyrics, grandiose stage sets and costumes, and an obsessive dedication to technical skill. Author Kevin Holm-Hudson believes that rock is a style far more diverse than what is heard from its mainstream groups. They each do so largely unconsciously, academic John S. Cotner contests Macans view that progressive rock cannot exist without the continuous and overt assimilation of classical music into rock. Debate about the criteria and scope of the genre continues in the 2010s. In early references to the music, progressive was partly related to progressive politics, Cotner also says that progressive rock incorporates both formal and eclectic elements, It consists of a combination of factors – some of them intramusical, others extramusical or social. One way of conceptualising rock and roll in relation to music is that progressive music pushed the genre into greater complexity while retracing the roots of romantic
3.
Chicago
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Chicago, officially the City of Chicago, is the third-most populous city in the United States. With over 2.7 million residents, it is the most populous city in the state of Illinois, and it is the county seat of Cook County. In 2012, Chicago was listed as a global city by the Globalization and World Cities Research Network. Chicago has the third-largest gross metropolitan product in the United States—about $640 billion according to 2015 estimates, the city has one of the worlds largest and most diversified economies with no single industry employing more than 14% of the workforce. In 2016, Chicago hosted over 54 million domestic and international visitors, landmarks in the city include Millennium Park, Navy Pier, the Magnificent Mile, Art Institute of Chicago, Museum Campus, the Willis Tower, Museum of Science and Industry, and Lincoln Park Zoo. Chicagos culture includes the arts, novels, film, theater, especially improvisational comedy. Chicago also has sports teams in each of the major professional leagues. The city has many nicknames, the best-known being the Windy City, the name Chicago is derived from a French rendering of the Native American word shikaakwa, known to botanists as Allium tricoccum, from the Miami-Illinois language. The first known reference to the site of the current city of Chicago as Checagou was by Robert de LaSalle around 1679 in a memoir, henri Joutel, in his journal of 1688, noted that the wild garlic, called chicagoua, grew abundantly in the area. In the mid-18th century, the area was inhabited by a Native American tribe known as the Potawatomi, the first known non-indigenous permanent settler in Chicago was Jean Baptiste Point du Sable. Du Sable was of African and French descent and arrived in the 1780s and he is commonly known as the Founder of Chicago. In 1803, the United States Army built Fort Dearborn, which was destroyed in 1812 in the Battle of Fort Dearborn, the Ottawa, Ojibwe, and Potawatomi tribes had ceded additional land to the United States in the 1816 Treaty of St. Louis. The Potawatomi were forcibly removed from their land after the Treaty of Chicago in 1833, on August 12,1833, the Town of Chicago was organized with a population of about 200. Within seven years it grew to more than 4,000 people, on June 15,1835, the first public land sales began with Edmund Dick Taylor as U. S. The City of Chicago was incorporated on Saturday, March 4,1837, as the site of the Chicago Portage, the city became an important transportation hub between the eastern and western United States. Chicagos first railway, Galena and Chicago Union Railroad, and the Illinois, the canal allowed steamboats and sailing ships on the Great Lakes to connect to the Mississippi River. A flourishing economy brought residents from rural communities and immigrants from abroad, manufacturing and retail and finance sectors became dominant, influencing the American economy. The Chicago Board of Trade listed the first ever standardized exchange traded forward contracts and these issues also helped propel another Illinoisan, Abraham Lincoln, to the national stage
4.
Pittsburgh
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Pittsburgh is a city in the Commonwealth of Pennsylvania in the United States, and is the county seat of Allegheny County. The city proper has a population of 304,391. The metropolitan population of 2,353,045 is the largest in both the Ohio Valley and Appalachia, the second-largest in Pennsylvania, and the 26th-largest in the U. S. The city features 30 skyscrapers, two inclines, a fortification and the Point State Park at the confluence of the rivers. Aside from steel, Pittsburgh has led in manufacturing of aluminum, glass, shipbuilding, petroleum, foods, sports, transportation, computing, autos, and electronics. For part of the 20th century, Pittsburgh was behind only New York and Chicago in corporate headquarters employment, Americas 1980s deindustrialization laid off area blue-collar workers and thousands of downtown white-collar workers when the longtime Pittsburgh-based world headquarters moved out. The area has served also as the federal agency headquarters for cyber defense, software engineering, robotics, energy research. The area is home to 68 colleges and universities, including research and development leaders Carnegie Mellon University, the region is a hub for Leadership in Energy and Environmental Design, sustainable energy, and energy extraction. Pittsburgh was named in 1758 by General John Forbes, in honor of British statesman William Pitt, 1st Earl of Chatham. The current pronunciation, which is unusual in English speaking countries, is almost certainly a result of a printing error in some copies of the City Charter of March 18,1816. The error was repeated commonly enough throughout the rest of the 19th century that the pronunciation was lost. After a public campaign the original spelling was restored by the United States Board on Geographic Names in 1911. The area of the Ohio headwaters was long inhabited by the Shawnee, the first known European to enter the region was the French explorer/trader Robert de La Salle from Quebec during his 1669 expedition down the Ohio River. European pioneers, primarily Dutch, followed in the early 18th century, Michael Bezallion was the first to describe the forks of the Ohio in a 1717 manuscript, and later that year European fur traders established area posts and settlements. In 1749, French soldiers from Quebec launched an expedition to the forks to unite Canada with French Louisiana via the rivers, during 1753–54, the British hastily built Fort Prince George before a larger French force drove them off. The French built Fort Duquesne based on LaSalles 1669 claims, the French and Indian War, the North American front of the Seven Years War, began with the future Pittsburgh as its center. British General Edward Braddock was dispatched with Major George Washington as his aide to take Fort Duquesne, the British and colonial force were defeated at Braddocks Field. General John Forbes finally took the forks in 1758, Forbes began construction on Fort Pitt, named after William Pitt the Elder while the settlement was named Pittsborough
5.
San Diego
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San Diego is a major city in California, United States. It is in San Diego County, on the coast of the Pacific Ocean in Southern California, approximately 120 miles south of Los Angeles and immediately adjacent to the border with Mexico. With an estimated population of 1,394,928 as of July 1,2015, San Diego is the eighth-largest city in the United States and second-largest in California. It is part of the San Diego–Tijuana conurbation, the second-largest transborder agglomeration between the US and a country after Detroit–Windsor, with a population of 4,922,723 people. San Diego has been called the birthplace of California, historically home to the Kumeyaay people, San Diego was the first site visited by Europeans on what is now the West Coast of the United States. Upon landing in San Diego Bay in 1542, Juan Rodríguez Cabrillo claimed the area for Spain, the Presidio and Mission San Diego de Alcalá, founded in 1769, formed the first European settlement in what is now California. In 1821, San Diego became part of the newly independent Mexico, in 1850, California became part of the United States following the Mexican–American War and the admission of California to the union. The city is the seat of San Diego County and is the center of the region as well as the San Diego–Tijuana metropolitan area. San Diegos main economic engines are military and defense-related activities, tourism, international trade, the presence of the University of California, San Diego, with the affiliated UCSD Medical Center, has helped make the area a center of research in biotechnology. The original inhabitants of the region are now known as the San Dieguito, the area of San Diego has been inhabited by the Kumeyaay people. The first European to visit the region was Portuguese-born explorer Juan Rodríguez Cabrillo sailing under the flag of Castile, sailing his flagship San Salvador from Navidad, New Spain, Cabrillo claimed the bay for the Spanish Empire in 1542, and named the site San Miguel. In November 1602, Sebastián Vizcaíno was sent to map the California coast, in May 1769, Gaspar de Portolà established the Fort Presidio of San Diego on a hill near the San Diego River. It was the first settlement by Europeans in what is now the state of California, in July of the same year, Mission San Diego de Alcalá was founded by Franciscan friars under Junípero Serra. By 1797, the mission boasted the largest native population in Alta California, with over 1,400 neophytes living in, Mission San Diego was the southern anchor in California of the historic mission trail El Camino Real. Both the Presidio and the Mission are National Historic Landmarks, in 1821, Mexico won its independence from Spain, and San Diego became part of the Mexican territory of Alta California. In 1822, Mexico began attempting to extend its authority over the territory of Alta California. The fort on Presidio Hill was gradually abandoned, while the town of San Diego grew up on the land below Presidio Hill. The Mission was secularized by the Mexican government in 1833, the 432 residents of the town petitioned the governor to form a pueblo, and Juan María Osuna was elected the first alcalde, defeating Pío Pico in the vote
6.
Los Angeles
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Los Angeles, officially the City of Los Angeles and often known by its initials L. A. is the cultural, financial, and commercial center of Southern California. With a census-estimated 2015 population of 3,971,883, it is the second-most populous city in the United States, Los Angeles is also the seat of Los Angeles County, the most populated county in the United States. The citys inhabitants are referred to as Angelenos, historically home to the Chumash and Tongva, Los Angeles was claimed by Juan Rodríguez Cabrillo for Spain in 1542 along with the rest of what would become Alta California. The city was founded on September 4,1781, by Spanish governor Felipe de Neve. It became a part of Mexico in 1821 following the Mexican War of Independence, in 1848, at the end of the Mexican–American War, Los Angeles and the rest of California were purchased as part of the Treaty of Guadalupe Hidalgo, thereby becoming part of the United States. Los Angeles was incorporated as a municipality on April 4,1850, the discovery of oil in the 1890s brought rapid growth to the city. The completion of the Los Angeles Aqueduct in 1913, delivering water from Eastern California, nicknamed the City of Angels, Los Angeles is known for its Mediterranean climate, ethnic diversity, and sprawling metropolis. Los Angeles also has an economy in culture, media, fashion, science, sports, technology, education, medicine. A global city, it has been ranked 6th in the Global Cities Index, the city is home to renowned institutions covering a broad range of professional and cultural fields, and is one of the most substantial economic engines within the United States. The Los Angeles combined statistical area has a gross metropolitan product of $831 billion, making it the third-largest in the world, after the Greater Tokyo and New York metropolitan areas. The city has hosted the Summer Olympic Games in 1932 and 1984 and is bidding to host the 2024 Summer Olympics and thus become the second city after London to have hosted the Games three times. The Los Angeles area also hosted the 1994 FIFA mens World Cup final match as well as the 1999 FIFA womens World Cup final match, the mens event was watched on television by over 700 million people worldwide. The Los Angeles coastal area was first settled by the Tongva, a Gabrielino settlement in the area was called iyáangẚ, meaning poison oak place. Gaspar de Portolà and Franciscan missionary Juan Crespí, reached the present site of Los Angeles on August 2,1769, in 1771, Franciscan friar Junípero Serra directed the building of the Mission San Gabriel Arcángel, the first mission in the area. The Queen of the Angels is an honorific of the Virgin Mary, two-thirds of the settlers were mestizo or mulatto with a mixture of African, indigenous and European ancestry. The settlement remained a small town for decades, but by 1820. Today, the pueblo is commemorated in the district of Los Angeles Pueblo Plaza and Olvera Street. New Spain achieved its independence from the Spanish Empire in 1821, during Mexican rule, Governor Pío Pico made Los Angeles Alta Californias regional capital
7.
Electric guitar
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The vibrations of the strings are sensed by a pickup, of which the most common type is the magnetic pickup, which uses the principle of direct electromagnetic induction. The signal generated by a guitar is too weak to drive a loudspeaker, so it is plugged into a guitar amplifier before being sent to a loudspeaker. The output of a guitar is an electric signal. Invented in 1931, the electric guitar was adopted by jazz guitarists. Early proponents of the guitar on record included Les Paul, Lonnie Johnson, Sister Rosetta Tharpe, T-Bone Walker. During the 1950s and 1960s, the guitar became the most important instrument in pop music. It has evolved into an instrument that is capable of a multitude of sounds and styles in genres ranging from pop and rock to country music, blues and jazz. It served as a component in the development of electric blues, rock and roll, rock music, heavy metal music. Electric guitar design and construction vary greatly in the shape of the body and the configuration of the neck, bridge, Guitars may have a fixed bridge or a spring-loaded hinged bridge that lets players bend the pitch of notes or chords up or down or perform vibrato effects. The sound of a guitar can be modified by new playing techniques such as string bending, tapping, hammering on, using audio feedback, in a small group, such as a power trio, one guitarist switches between both roles. In larger rock and metal bands, there is often a rhythm guitarist, many experiments at electrically amplifying the vibrations of a string instrument were made dating back to the early part of the 20th century. Patents from the 1910s show telephone transmitters were adapted and placed inside violins, hobbyists in the 1920s used carbon button microphones attached to the bridge, however, these detected vibration from the bridge on top of the instrument, resulting in a weak signal. With numerous people experimenting with electrical instruments in the 1920s and early 1930s, Electric guitars were originally designed by acoustic guitar makers and instrument manufacturers. Some of the earliest electric guitars adapted hollow-bodied acoustic instruments and used tungsten pickups, the first electrically amplified guitar was designed in 1931 by George Beauchamp, the general manager of the National Guitar Corporation, with Paul Barth, who was vice president. The maple body prototype for the one-piece cast aluminum frying pan was built by Harry Watson, commercial production began in late summer of 1932 by the Ro-Pat-In Corporation, in Los Angeles, a partnership of Beauchamp, Adolph Rickenbacker, and Paul Barth. In 1934, the company was renamed the Rickenbacker Electro Stringed Instrument Company, in that year Beauchamp applied for a United States patent for an Electrical Stringed Musical Instrument and the patent was issued in 1937. The Electro-Spanish Ken Roberts provided players a full 25 scale, with 17 frets free of the fretboard and it is estimated that fewer than 50 Electro-Spanish Ken Roberts were constructed between 1933 and 1937, fewer than 10 are known to survive today. The need for the guitar became apparent during the big band era as orchestras increased in size, particularly when acoustic guitars had to compete with large
8.
Bass guitar
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The bass guitar is a stringed instrument played primarily with the fingers or thumb, by plucking, slapping, popping, strumming, tapping, thumping, or picking with a plectrum, often known as a pick. The bass guitar is similar in appearance and construction to a guitar, but with a longer neck and scale length. The four-string bass, by far the most common, is tuned the same as the double bass. The bass guitar is an instrument, as it is notated in bass clef an octave higher than it sounds to avoid excessive ledger lines. Like the electric guitar, the guitar has pickups and it is plugged into an amplifier and speaker on stage, or into a larger PA system using a DI unit. Since the 1960s, the guitar has largely replaced the double bass in popular music as the bass instrument in the rhythm section. While types of basslines vary widely from one style of music to another, many styles of music utilise the bass guitar, including rock, heavy metal, pop, punk rock, country, reggae, gospel, blues, symphonic rock, and jazz. It is often a solo instrument in jazz, jazz fusion, Latin, funk, progressive rock and other rock, the adoption of a guitar form made the instrument easier to hold and transport than any of the existing stringed bass instruments. The addition of frets enabled bassists to play in more easily than on acoustic or electric upright basses. Around 100 of these instruments were made during this period, around 1947, Tutmarcs son, Bud, began marketing a similar bass under the Serenader brand name, prominently advertised in the nationally distributed L. D. Heater Music Company wholesale jobber catalogue of 1948, however, the Tutmarc family inventions did not achieve market success. In the 1950s, Leo Fender, with the help of his employee George Fullerton and his Fender Precision Bass, which began production in October 1951, became a widely copied industry standard. This split pickup, introduced in 1957, appears to have been two mandolin pickups, the pole pieces and leads of the coils were reversed with respect to each other, producing a humbucking effect. Humbucking is a design that electrically cancels the effect of any AC hum, the Fender Bass was a revolutionary new instrument, which could be easily transported, and which was less prone to feedback when amplified than acoustic bass instruments. Monk Montgomery was the first bass player to tour with the Fender bass guitar, roy Johnson, and Shifty Henry with Louis Jordan & His Tympany Five, were other early Fender bass pioneers. Bill Black, playing with Elvis Presley, switched from bass to the Fender Precision Bass around 1957. The bass guitar was intended to appeal to guitarists as well as upright bass players, following Fenders lead, in 1953, Gibson released the first short scale violin-shaped electric bass with extendable end pin, allowing it to be played upright or horizontally. In 1959 these were followed by the more conventional-looking EB-0 Bass, the EB-0 was very similar to a Gibson SG in appearance
9.
Drum kit
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A drum kit consists of a mix of drums and idiophones most significantly cymbals but also including the woodblock and cowbell. In the 2000s, some also include electronic instruments and both hybrid and entirely electronic kits are used. If some or all of them are replaced by electronic drums, the drum kit is usually played while seated on a drum stool or throne. The drum kit differs from instruments that can be used to produce pitched melodies or chords, even though drums are often placed musically alongside others that do, such as the piano or guitar. The drum kit is part of the rhythm section used in many types of popular and traditional music styles ranging from rock and pop to blues. Other standard instruments used in the section include the electric bass, electric guitar. Many drummers extend their kits from this pattern, adding more drums, more cymbals. Some performers, such as some rockabilly drummers, use small kits that omit elements from the basic setup, some drum kit players may have other roles in the band, such as providing backup vocals, or less commonly, lead vocals. Thus, in an early 1800s orchestra piece, if the called for bass drum, triangle and cymbals. In the 1840s, percussionists began to experiment with foot pedals as a way to them to play more than one instrument. In the 1860s, percussionists started combining multiple drums into a set, the bass drum, snare drum, cymbals, and other percussion instruments were all played using hand-held drum sticks. Double-drumming was developed to one person to play the bass and snare with sticks. With this approach, the drum was usually played on beats one. This resulted in a swing and dance feel. The drum set was referred to as a trap set. By the 1870s, drummers were using an overhang pedal, most drummers in the 1870s preferred to do double drumming without any pedal to play multiple drums, rather than use an overhang pedal. Companies patented their pedal systems such as Dee Dee Chandler of New Orleans 1904–05, liberating the hands for the first time, this evolution saw the bass drum played with the foot of a standing percussionist. The bass drum became the central piece around which every other percussion instrument would later revolve and it was the golden age of drum building for many famous drum companies, with Ludwig introducing
10.
Emo
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Emo /ˈiːmoʊ/ is a loosely categorized music genre characterized by expressive, often confessional, lyrics. By the mid-1990s, numerous emo acts formed in the Midwestern and Central United States, meanwhile, a more aggressive style of emo, screamo, had also emerged. Emo broke into mainstream culture in the early 2000s with the success of Jimmy Eat World. In the wake of success, many emo bands were signed to major record labels. By the early 2010s, the popularity of emo began to decrease, some bands moved away from their emo roots and some bands disbanded. An underground emo revival emerged in the 2010s, with drawing on the sounds and aesthetics of emo of the 1990s. The term emo has been applied by critics and journalists to a variety of artists, including acts and groups with disparate styles. In addition to music, emo is often used more generally to signify a particular relationship between fans and artists, and to describe related aspects of fashion, culture, and behavior. Emo has been associated with a stereotype that includes being particularly emotional, sensitive, misanthropic, shy, introverted and it has also been associated with stereotypes like depression, self-harm, and suicide. While emo originated in hardcore punk and has considered a subgenre of post-hardcore, it has also been associated with indie rock. The fusion of emo with pop punk is known as emo pop. The New York Times described as emo as emotional punk or post-hardcore or pop-punk and that is, punk that wears its heart on its sleeve and tries a little tenderness to leaven its sonic attack. If it helps, imagine Ricky Nelson singing in the Sex Pistols, author Matt Diehl described emo as a more sensitive interpolation of punks mission. The 1966 album Pet Sounds by the American rock band the Beach Boys has been characterized as the first emo album by Treblezines Ernest Simpson, in some ways, one could find trace elements of in early emo albums of the 2000s. In the 1980s, the Washington, D. C. hardcore scene swelled in size with the formation of many hardcore punk, post-hardcore itself is a more melodic and experimental offshoot of hardcore inspired by post-punk. Hardcore bands that were influential on many early emo bands include Minor Threat, The Faith, Black Flag, Emo originated as an outgrowth of the hardcore punk scene of early 1980s Washington, D. C. Minor Threat fan Guy Picciotto formed Rites of Spring in 1984, breaking free of hardcores self-imposed boundaries in favor of guitars, varied rhythms. Many of the themes would become familiar tropes in later generations of emo music, including nostalgia, romantic bitterness
11.
United States
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Forty-eight of the fifty states and the federal district are contiguous and located in North America between Canada and Mexico. The state of Alaska is in the northwest corner of North America, bordered by Canada to the east, the state of Hawaii is an archipelago in the mid-Pacific Ocean. The U. S. territories are scattered about the Pacific Ocean, the geography, climate and wildlife of the country are extremely diverse. At 3.8 million square miles and with over 324 million people, the United States is the worlds third- or fourth-largest country by area, third-largest by land area. It is one of the worlds most ethnically diverse and multicultural nations, paleo-Indians migrated from Asia to the North American mainland at least 15,000 years ago. European colonization began in the 16th century, the United States emerged from 13 British colonies along the East Coast. Numerous disputes between Great Britain and the following the Seven Years War led to the American Revolution. On July 4,1776, during the course of the American Revolutionary War, the war ended in 1783 with recognition of the independence of the United States by Great Britain, representing the first successful war of independence against a European power. The current constitution was adopted in 1788, after the Articles of Confederation, the first ten amendments, collectively named the Bill of Rights, were ratified in 1791 and designed to guarantee many fundamental civil liberties. During the second half of the 19th century, the American Civil War led to the end of slavery in the country. By the end of century, the United States extended into the Pacific Ocean. The Spanish–American War and World War I confirmed the status as a global military power. The end of the Cold War and the dissolution of the Soviet Union in 1991 left the United States as the sole superpower. The U. S. is a member of the United Nations, World Bank, International Monetary Fund, Organization of American States. The United States is a developed country, with the worlds largest economy by nominal GDP. It ranks highly in several measures of performance, including average wage, human development, per capita GDP. While the U. S. economy is considered post-industrial, characterized by the dominance of services and knowledge economy, the United States is a prominent political and cultural force internationally, and a leader in scientific research and technological innovations. In 1507, the German cartographer Martin Waldseemüller produced a map on which he named the lands of the Western Hemisphere America after the Italian explorer and cartographer Amerigo Vespucci
12.
Mathematics
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Mathematics is the study of topics such as quantity, structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope, Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof, when mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry, rigorous arguments first appeared in Greek mathematics, most notably in Euclids Elements. Galileo Galilei said, The universe cannot be read until we have learned the language and it is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word. Without these, one is wandering about in a dark labyrinth, carl Friedrich Gauss referred to mathematics as the Queen of the Sciences. Benjamin Peirce called mathematics the science that draws necessary conclusions, David Hilbert said of mathematics, We are not speaking here of arbitrariness in any sense. Mathematics is not like a game whose tasks are determined by arbitrarily stipulated rules, rather, it is a conceptual system possessing internal necessity that can only be so and by no means otherwise. Albert Einstein stated that as far as the laws of mathematics refer to reality, they are not certain, Mathematics is essential in many fields, including natural science, engineering, medicine, finance and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics, Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics, the history of mathematics can be seen as an ever-increasing series of abstractions. The earliest uses of mathematics were in trading, land measurement, painting and weaving patterns, in Babylonian mathematics elementary arithmetic first appears in the archaeological record. Numeracy pre-dated writing and numeral systems have many and diverse. Between 600 and 300 BC the Ancient Greeks began a study of mathematics in its own right with Greek mathematics. Mathematics has since been extended, and there has been a fruitful interaction between mathematics and science, to the benefit of both. Mathematical discoveries continue to be made today, the overwhelming majority of works in this ocean contain new mathematical theorems and their proofs. The word máthēma is derived from μανθάνω, while the modern Greek equivalent is μαθαίνω, in Greece, the word for mathematics came to have the narrower and more technical meaning mathematical study even in Classical times
