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72-535: Harald Bode was born in 1909 in Hamburg , Germany. At the age of 18 he lost his parents and started studying, and graduated from the University of Hamburg in 1934. In 1935, he began his pioneering work in the field of electronic musical instruments , and with funding support provided by Christian Warnke, his earliest work was completed in 1937. The Warbo Formant Organ (1937), an archetype of today's polyphonic synthesizer ,

144-544: A firestorm which spread from the Hauptbahnhof (main railway station) and quickly moved south-east, completely destroying entire boroughs such as Hammerbrook , Billbrook and Hamm South . Thousands of people perished in these densely populated working class boroughs. The raids, codenamed Operation Gomorrah by the RAF , killed at least 42,600 civilians; the precise number is not known. About one million civilians were evacuated in

216-449: A zero at the origin of the complex frequency plane. The gain of its frequency response increases at a rate of +20  dB per decade of frequency (for root-power quantities), the same positive slope as a 1 order high-pass filter 's stopband , although a differentiator doesn't have a cutoff frequency or a flat passband . A n -order high-pass filter approximately applies the n time derivative of signals whose frequency band

288-569: A 110 km (68 mi) estuary to the North Sea , on the mouth of the Alster and Bille . Hamburg is one of Germany's three city-states alongside Berlin and Bremen , and is surrounded by Schleswig-Holstein to the north and Lower Saxony to the south. The Port of Hamburg is Germany's largest and Europe's third-largest , after Rotterdam and Antwerp . The local dialect is a variant of Low Saxon . The official name reflects Hamburg's history as

360-612: A contract between Henry III and Hamburg's traders allowed them to establish a hanse in London. This was the first time in history that the word hanse was used for the trading guild of the Hanseatic League . In 1270, the solicitor of the senate of Hamburg , Jordan von Boitzenburg , wrote the first description of civil, criminal and procedural law for a city in Germany in the German language,

432-617: A district in Hamburg called the Portugiesenviertel  [ de ] (Portuguese quarter) where many Portuguese people settled and which has a variety of Portuguese restaurants, cafes and shops that attract many tourists. There are several statues, squares and streets in Hamburg that are named after Portuguese historical figures. These include the Vasco da Gama statue on the Kornhaus bridge, which

504-548: A figure of about 143,200 Muslim migrants in Hamburg, making up 8.4% percent of the population. As of 2021 , there were more than 50 mosques in the city, including the Ahmadiyya run Fazle Omar Mosque , which is the oldest in the city, and which hosts the Islamic Centre Hamburg . A Jewish community also exists. As of 2022, around 2,500 Jews live in Hamburg. The city of Hamburg is one of 16 German states , therefore

576-566: A member of the medieval Hanseatic League and a free imperial city of the Holy Roman Empire . Before the 1871 unification of Germany , it was a fully sovereign city state , and before 1919 formed a civic republic headed constitutionally by a class of hereditary Grand Burghers or Hanseaten . Beset by disasters such as the Great Fire of Hamburg , North Sea flood of 1962 and military conflicts including World War II bombing raids ,

648-474: A new influx from the migrant crisis. There is an area in Hamburg behind the central station where many Afghan restaurants and shops are located. Many carpet businesses in Speicherstadt are operated by Afghan traders, with Hamburg still a global leader in the trade of oriental rugs. Hamburg residents with a foreign citizenship as of 31 December 2016 is as follows: As elsewhere in Germany, Standard German

720-441: A paper exploring the advantages of newly emerging transistor technology over older vacuum tube devices; also he served as AES session chairman on music and electronic for the fall conventions in 1962 and 1964; after then, his ideas were adopted by Robert Moog , Donald Buchla and others. After retiring from the chief engineer of Bell Aerospace in 1974, he composed TV-advertising spots and gave live concerts. Also in 1977, Bode

792-532: A quarter cycle, the sine and cosine components , respectively. A sine wave represents a single frequency with no harmonics and is considered an acoustically pure tone . Adding sine waves of different frequencies results in a different waveform. Presence of higher harmonics in addition to the fundamental causes variation in the timbre , which is the reason why the same musical pitch played on different instruments sounds different. Sine waves of arbitrary phase and amplitude are called sinusoids and have

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864-409: A single line. This could, for example, be considered the value of a wave along a wire. In two or three spatial dimensions, the same equation describes a travelling plane wave if position x {\displaystyle x} and wavenumber k {\displaystyle k} are interpreted as vectors, and their product as a dot product . For more complex waves such as the height of

936-447: A sum of sine waves of various frequencies, relative phases, and magnitudes. When any two sine waves of the same frequency (but arbitrary phase ) are linearly combined , the result is another sine wave of the same frequency; this property is unique among periodic waves. Conversely, if some phase is chosen as a zero reference, a sine wave of arbitrary phase can be written as the linear combination of two sine waves with phases of zero and

1008-466: A town of around 500 inhabitants. In 1030, King Mieszko II Lambert of Poland burned down the city. Valdemar II of Denmark raided and occupied Hamburg in 1201 and in 1214. The Black Death killed at least 60% of the population in 1350. Hamburg experienced several great fires in the medieval period. In 1189, by imperial charter, Frederick I "Barbarossa" granted Hamburg the status of a Free Imperial City and tax-free access (or free-trade zone ) up

1080-476: A water wave in a pond after a stone has been dropped in, more complex equations are needed. French mathematician Joseph Fourier discovered that sinusoidal waves can be summed as simple building blocks to approximate any periodic waveform, including square waves . These Fourier series are frequently used in signal processing and the statistical analysis of time series . The Fourier transform then extended Fourier series to handle general functions, and birthed

1152-569: Is a major international and domestic tourist destination . The Speicherstadt and Kontorhausviertel were declared World Heritage Sites by UNESCO in 2015. Hamburg's rivers and canals are crossed by around 2,500 bridges, making it the city with the highest number of bridges in Europe, and with 5 of the world's 29 tallest churches standing in Hamburg , it is also the city with the highest number of churches surpassing 100 metres (330 ft) worldwide. Aside from its rich architectural heritage,

1224-648: Is at a sheltered natural harbour on the southern fanning-out of the Jutland Peninsula , between Continental Europe to the south and Scandinavia to the north, with the North Sea to the west and the Baltic Sea to the northeast. It is on the River Elbe at its confluence with the Alster and Bille . The city centre is around the Binnenalster ("Inner Alster") and Außenalster ("Outer Alster"), both formed by damming

1296-571: Is estimated to be at the site of today's Domplatz . In 834 CE, Hamburg was designated as the seat of a bishopric . The first bishop, Ansgar , became known as the Apostle of the North. Two years later, Hamburg was united with Bremen as the Bishopric of Hamburg-Bremen . Hamburg was destroyed and occupied several times. In 845, 600 Viking ships sailed up the River Elbe and destroyed Hamburg, at that time

1368-1181: Is significantly lower than the filter's cutoff frequency. Integrating any sinusoid with respect to time can be viewed as dividing its amplitude by its angular frequency and delaying it a quarter cycle: ∫ A sin ⁡ ( ω t + φ ) d t = − A ω cos ⁡ ( ω t + φ ) + C = − A ω sin ⁡ ( ω t + φ + π 2 ) + C = A ω sin ⁡ ( ω t + φ − π 2 ) + C . {\displaystyle {\begin{aligned}\int A\sin(\omega t+\varphi )dt&=-{\frac {A}{\omega }}\cos(\omega t+\varphi )+C\\&=-{\frac {A}{\omega }}\sin(\omega t+\varphi +{\tfrac {\pi }{2}})+C\\&={\frac {A}{\omega }}\sin(\omega t+\varphi -{\tfrac {\pi }{2}})+C\,.\end{aligned}}} The constant of integration C {\displaystyle C} will be zero if

1440-421: Is spoken in Hamburg, but as typical for northern Germany, the original language of Hamburg is Low German , usually referred to as Hamborger Platt (German Hamburger Platt ) or Hamborgsch . Since large-scale standardisation of the German language beginning in earnest in the 18th century, various Low German-coloured dialects have developed (contact-varieties of German on Low Saxon substrates). Originally, there

1512-514: Is the second-largest city in Germany after Berlin and 6th-largest in the European Union with a population of over 1.9 million. The Hamburg Metropolitan Region has a population of over 5.1 million and is the eighth-largest metropolitan region by GDP in the European Union. At the southern tip of the Jutland Peninsula , Hamburg stands on the branching River Elbe at the head of

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1584-643: The Apparatewerk Bayern  [ de ] (AWB) in Germany and the Estey Organ Company in the United States. In 1954, Bode immigrated to the United States as a chief engineer (later vice-president) of Estey Organ, and resumed his research at several companies and as a contractor of German companies. In 1959–1960, Bode developed a modular synthesizer and sound processor , and in 1961, he wrote

1656-530: The Hasselbrack at 116.2 metres (381 ft) AMSL . Hamburg borders the states of Schleswig-Holstein and Lower Saxony . Hamburg has an oceanic climate ( Köppen : Cfb ; Trewartha : Dobk ), influenced by its proximity to the coast and maritime influences that originate over the Atlantic Ocean. The location in the north of Germany provides extremes greater than typical marine climates, but definitely in

1728-587: The Holy Roman Empire in 1806, the Free Imperial City of Hamburg was not incorporated into a larger administrative area while retaining special privileges ( mediatised ), but became a sovereign state with the official title of the Free and Hanseatic City of Hamburg . Hamburg was briefly annexed by Napoleon I to the First French Empire (1804–1814/1815). Russian forces under General Bennigsen finally freed

1800-754: The International Tribunal for the Law of the Sea , the EU-LAC Foundation , and the UNESCO Institute for Lifelong Learning , multipartite international political conferences and summits such as Europe and China and the G20 . Former German chancellors Helmut Schmidt and Angela Merkel were both born in Hamburg. The former Mayor of Hamburg , Olaf Scholz , has been the current German chancellor since December 2021. Hamburg

1872-511: The Mayor of Hamburg 's office corresponds more to the role of a minister-president than to that of a city mayor. As a German state government , it is responsible for public education, correctional institutions and public safety; as a municipality, it is additionally responsible for libraries, recreational facilities, sanitation, water supply and welfare services. Since 1897, the seat of the government has been Hamburg City Hall (Hamburg Rathaus), with

1944-565: The Neuengamme concentration camp (about 25 km (16 mi) outside the city in the marshlands), mostly from epidemics and in the destruction of Kriegsmarine vessels housing evacuees at the end of the war. Systematic deportations of Jewish Germans and Gentile Germans of Jewish descent started on 18 October 1941. These were all directed to ghettos in Nazi-occupied Europe or to concentration camps . Most deported persons perished in

2016-542: The Ordeelbook ( Ordeel : sentence). On 10 August 1410, civil unrest forced a compromise (German: Rezeß , literally meaning: withdrawal). This is considered the first constitution of Hamburg . In 1356, the Matthiae-Mahl feast dinner for Hanseatic League cities was celebrated for the first time on 25 February, the first day of spring in medieval times. It continues today as the world's oldest ceremonial meal. In 1529,

2088-560: The WDR Studio in Cologne was used by: But in the case of Karlheinz Stockhausen , a student of Meyer-Eppler at the University of Bonn in 1954–1956, his only use of the melochord was in a failed experiment with a ring modulator . After this, he chose to disregard such instruments in favor of sine-wave generators, which he used in producing Studie I (1953) and Studie II (1954). This

2160-402: The bounds of integration is an integer multiple of the sinusoid's period. An integrator has a pole at the origin of the complex frequency plane. The gain of its frequency response falls off at a rate of -20 dB per decade of frequency (for root-power quantities), the same negative slope as a 1 order low-pass filter 's stopband, although an integrator doesn't have a cutoff frequency or

2232-540: The sea shanty Hamborger Veermaster , written in the 19th century when Low German was used more frequently. Many toponyms and street names reflect Low Saxon vocabulary, partially even in Low Saxon spelling, which is not standardised, and to some part in forms adapted to Standard German. 65.2% of the population is not religious or adherent other religions than the Evangelical Church or Catholicism. In 2018, 24.9% of

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2304-413: The Hamburg region ( Hamburg Metropolitan Region ) is home to 5,107,429 living on 196/km (510/sq mi). There were 915,319 women and 945,440 men in Hamburg. For every 1,000 females, there were 1,033 males. In 2015, there were 19,768 births in Hamburg (of which 38.3% were to unmarried women); 6422 marriages and 3190 divorces, and 17,565 deaths. In the city, the population was spread out, with 16.1% under

2376-749: The Holocaust . By the end of 1942, the Jüdischer Religionsverband in Hamburg was dissolved as an independent legal entity and its remaining assets and staff were assumed by the Reich Association of Jews in Germany (District Northwest). On 10 June 1943, the Reich Security Main Office dissolved the association by a decree. The few remaining employees not somewhat protected by a mixed marriage were deported from Hamburg on 23 June to Theresienstadt , where most of them perished. The city

2448-620: The Lower Elbe into the North Sea. In 1265, an allegedly forged letter was presented to or by the Rath of Hamburg. This charter, along with Hamburg's proximity to the main trade routes of the North Sea and Baltic Sea , quickly made it a major port in Northern Europe. Its trade alliance with Lübeck in 1241 marks the origin and core of the powerful Hanseatic League of trading cities. On 8 November 1266,

2520-683: The River Alster to create lakes. The islands of Neuwerk , Scharhörn , and Nigehörn , 100 kilometres (60 mi) away in the Hamburg Wadden Sea National Park , are also part of the city of Hamburg. The neighbourhoods of Neuenfelde , Cranz , Francop and Finkenwerder are part of the Altes Land (old land) region, the largest contiguous fruit-producing region in Central Europe. Neugraben-Fischbek has Hamburg's highest elevation,

2592-418: The aftermath of the raids. While some of the boroughs destroyed were rebuilt as residential districts after the war, others such as Hammerbrook were entirely developed into office, retail and limited residential or industrial districts. The Hamburg Commonwealth War Graves Commission Cemetery is in the greater Ohlsdorf Cemetery in the north of Hamburg. At least 42,900 people are thought to have perished in

2664-481: The age of 18, and 18.3% were 65 years of age or older. 356 people in Hamburg were over the age of 100. According to the Statistical Office for Hamburg and Schleswig-Holstein , the number of people with a migrant background is at 34% (631,246). Immigrants come from 200 countries. 5,891 people have acquired German cititzenship in 2016. In 2016, there were 1,021,666 households, of which 17.8% had children under

2736-403: The age of 18; 54.4% of all households were made up of singles. 25.6% of all households were single parent households. The average household size was 1.8. Hamburg has the largest Portuguese community in Germany with about 30,000 people with Portuguese heritage . Many Portuguese sailors and merchants came to Hamburg beginning in the 15th century due to its port . Since the 1970s, there has been

2808-634: The boroughs and quarters have been rearranged several times. Each borough is governed by a Borough Council (German: Bezirksversammlung ) and administered by a Municipal Administrator (German: Bezirksamtsleiter ). The boroughs are not independent municipalities: their power is limited and subordinate to the Senate of Hamburg . The borough administrator is elected by the Borough Council and thereafter requires confirmation and appointment by Hamburg's Senate. The quarters have no governing bodies of their own. Since

2880-711: The category due to the prevailing westerlies. Nearby wetlands enjoy a maritime temperate climate. The amount of snowfall has varied greatly in recent decades. In the late 1970s and early 1980s, heavy snowfall sometimes occurred, the winters of recent years have been less cold, with snowfall just a few days per year. The warmest months are June, July, and August, with high temperatures of 20.1 to 22.5 °C (68.2 to 72.5 °F). The coldest are December, January, and February, with low temperatures of −0.3 to 1.0 °C (31.5 to 33.8 °F). The annual extreme temperatures range from −29.1 °C (−20.4 °F) on 13 February 1940, to 40.1 °C (104.2 °F) on 20 July 2022 , and

2952-522: The city embraced Lutheranism , and it received Reformed refugees from the Netherlands and France. When Jan van Valckenborgh introduced a second layer to the fortifications to protect against the Thirty Years' War in the seventeenth century, he extended Hamburg and created a "New Town" ( Neustadt ) whose street names still date from the grid system of roads he introduced. From the autumn of 1696 to

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3024-449: The city from most of its hinterland and reduced Hamburg's global trade. Since German reunification in 1990, and the accession of several Central European and Baltic countries into the European Union in 2004, the Port of Hamburg has restarted ambitions for regaining its position as the region's largest deep-sea port for container shipping and its major commercial and trading centre. Hamburg

3096-442: The city has managed to recover and emerge wealthier after each catastrophe. Major regional broadcaster NDR , the printing and publishing firm Gruner + Jahr and the newspapers Der Spiegel and Die Zeit are based in the city. Hamburg is the seat of Germany's oldest stock exchange and the world's oldest merchant bank , Berenberg Bank . Media, commercial, logistical, and industrial firms with significant locations in

3168-478: The city in 1814. Hamburg re-assumed its pre-1811 status as a city-state in 1814. The Vienna Congress of 1815 confirmed Hamburg's independence and it became one of 39 sovereign states of the German Confederation (1815–1866). In 1842, about a quarter of the inner city was destroyed in the " Great Fire ". The fire started on the night of 4 May and was not extinguished until 8 May. It destroyed three churches,

3240-627: The city include multinationals Airbus , Blohm + Voss , Aurubis , Beiersdorf , Lufthansa and Unilever . Hamburg is also a major European science, research, and education hub , with several universities and institutions, including the Deutsches Elektronen-Synchrotron Laboratory DESY . The city enjoys a very high quality of living, being ranked 19th in the 2019 Mercer Quality of Living Survey. Hamburg hosts specialists in world economics and international law, including consular and diplomatic missions such as

3312-540: The city is also home to notable cultural venues such as the Elbphilharmonie and Laeiszhalle concert halls. It gave birth to movements like Hamburger Schule and paved the way for bands including the Beatles . Hamburg is also known for several theatres and a variety of musical shows. St. Pauli 's Reeperbahn is among the best-known European red light districts. Claudius Ptolemy (2nd century AD) reported

3384-399: The city. Hamburg was the departure port for many Germans and Eastern Europeans to emigrate to the United States in the late 19th and early 20th centuries. Trading communities from all over the world established themselves there. A major outbreak of cholera in 1892 was badly handled by the city government, which retained an unusual degree of independence for a German city. About 8,600 died in

3456-594: The coalition broke apart on 28 November 2010. On 7 March 2011 Olaf Scholz ( SPD ) became mayor. After the 2015 election the SPD and the Alliance 90/The Greens formed a coalition. Hamburg is made up of seven boroughs (German: Bezirke ) and subdivided into 104 quarters (German: Stadtteile ). There are 181 localities (German: Ortsteile ). The urban organisation is regulated by the Constitution of Hamburg and several laws. Most of

3528-678: The electronic studio at Bonn University . Then in 1953 a Melochord, along with Monochord by Friedrich Trautwein , was specially commissioned by the Studio for Electronic Music of the Westdeutscher Rundfunk (WDR Studio in Cologne), and used by the Elektronische Musik group throughout the 1950s. ( see Melochord at the WDR Studio in Cologne ) From 1950, Bode designed electronic organs for

3600-793: The field of Fourier analysis . Differentiating any sinusoid with respect to time can be viewed as multiplying its amplitude by its angular frequency and advancing it by a quarter cycle: d d t [ A sin ⁡ ( ω t + φ ) ] = A ω cos ⁡ ( ω t + φ ) = A ω sin ⁡ ( ω t + φ + π 2 ) . {\displaystyle {\begin{aligned}{\frac {d}{dt}}[A\sin(\omega t+\varphi )]&=A\omega \cos(\omega t+\varphi )\\&=A\omega \sin(\omega t+\varphi +{\tfrac {\pi }{2}})\,.\end{aligned}}} A differentiator has

3672-655: The first name for the vicinity as Treva . The name Hamburg comes from the first permanent building on the site, a castle which the Emperor Charlemagne ordered constructed in AD 808. It rose on rocky terrain in a marsh between the River Alster and the River Elbe as a defence against Slavic incursion, and acquired the name Hammaburg , burg meaning castle or fort. The origin of the Hamma term remains uncertain, but its location

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3744-403: The form: Since sine waves propagate without changing form in distributed linear systems , they are often used to analyze wave propagation . When two waves with the same amplitude and frequency traveling in opposite directions superpose each other, then a standing wave pattern is created. On a plucked string, the superimposing waves are the waves reflected from the fixed endpoints of

3816-415: The general form: y ( t ) = A sin ⁡ ( ω t + φ ) = A sin ⁡ ( 2 π f t + φ ) {\displaystyle y(t)=A\sin(\omega t+\varphi )=A\sin(2\pi ft+\varphi )} where: Sinusoids that exist in both position and time also have: Depending on their direction of travel, they can take

3888-591: The historical origin of Hamburg. Sine wave A sine wave , sinusoidal wave , or sinusoid (symbol: ∿ ) is a periodic wave whose waveform (shape) is the trigonometric sine function . In mechanics , as a linear motion over time, this is simple harmonic motion ; as rotation , it corresponds to uniform circular motion . Sine waves occur often in physics , including wind waves , sound waves, and light waves, such as monochromatic radiation . In engineering , signal processing , and mathematics , Fourier analysis decomposes general functions into

3960-644: The largest German epidemic of the late 19th century, and the last major cholera epidemic in a major city of the Western world. Hamburg was a Gau within the administrative division of Nazi Germany from 1934 until 1945. During the Second World War , the Allied bombing of Hamburg devastated much of the city and the harbour. On 23 July 1943, the Royal Air Force and United States Army Air Force firebombing created

4032-583: The latest territorial reform of March 2008, the boroughs are Hamburg-Mitte , Altona , Eimsbüttel , Hamburg-Nord , Wandsbek , Bergedorf , and Harburg . Hamburg-Mitte ("Hamburg Centre") covers mostly the urban centre of the city and consists of the quarters Billbrook , Billstedt , Borgfelde , Finkenwerder , HafenCity , Hamm , Hammerbrook , Horn , Kleiner Grasbrook , Neuwerk , Rothenburgsort , St. Georg , St. Pauli , Steinwerder , Veddel , Waltershof , and Wilhelmsburg . The quarters Hamburg-Altstadt ("old town") and Neustadt ("new town") are

4104-453: The latter was measured at Hamburg-Neuwiedenthal Meteorological Station, on the same day, a high temperature record of 39.1 °C (102.4 °F) was recorded at Hamburg Airport . View climate chart 1986–2016 or 1960–1990 On 31 December 2016, there were 1,860,759 people registered as living in Hamburg in an area of 755.3 km (291.6 sq mi). The population density was 2,464/km (6,380/sq mi). The metropolitan area of

4176-554: The office of the mayor, the meeting room for the Senate and the floor for the Hamburg Parliament . From 2001 until 2010, the mayor of Hamburg was Ole von Beust , who governed in Germany's first statewide "black-green" coalition, consisting of the conservative CDU Hamburg and the alternative GAL, which are Hamburg's regional wing of the Alliance 90/The Greens party. Von Beust was briefly succeeded by Christoph Ahlhaus in 2010, but

4248-1007: The population belonged to the North Elbian Evangelical Lutheran Church , the largest religious body, and 9.9% to the Roman Catholic Church . Hamburg is seat of one of the three bishops of the Evangelical Lutheran Church in Northern Germany and seat of the Roman Catholic Archdiocese of Hamburg . According to the publication Muslimisches Leben in Deutschland (" Muslim life in Germany "), an estimated 141,900 Muslim migrants (from nearly 50 countries of origin) lived in Hamburg in 2008. About three years later (May 2011) calculations based on census data for 21 countries of origin resulted in

4320-399: The quarters were former independent cities, towns or villages annexed into Hamburg proper. The last large annexation was done through the Greater Hamburg Act of 1937, when the cities Altona , Harburg , and Wandsbek were merged into the state of Hamburg. The Act of the Constitution and Administration of Hanseatic city of Hamburg established Hamburg as a state and a municipality. Some of

4392-429: The second half of the 19th century when its population more than quadrupled to 800,000 as the growth of the city's Atlantic trade helped make it Europe's second-largest port. The Hamburg-America Line , with Albert Ballin as its director, became the world's largest transatlantic shipping company around the start of the 20th century. Shipping companies sailing to South America, Africa, India and East Asia were based in

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4464-453: The separation of Church and State, freedom of the press, of assembly and association. Hamburg became a member of the North German Confederation (1866–1871) and of the German Empire (1871–1918), and maintained its self-ruling status during the Weimar Republic (1919–1933). Hamburg acceded to the German Customs Union or Zollverein in 1888, the last (along with Bremen) of the German states to join. The city experienced its fastest growth during

4536-426: The sound production and sound figuration. Development and building of monophonic and polyphonic electronic organs / synthesizers and the sound processors : For the Apparatewerk Bayern  [ de ] (AWB) in Germany, Estey Organ Company in Brattleboro, Vermont , USA, and others: During his time as an executive of the Wurlitzer Organ Co. : As the products of Bode Sound Company: The Melochord at

4608-403: The spring of 1697 the Company of Scotland trading to Africa and the Indies was active in Hamburg. While it was unsuccessful in raising capital locally, it commissioned the construction of four vessels in the port. The Caledonia , a ship of 600 tons with 56 guns, and the Instuaration (later renamed the St. Andrew ), a vessel of 350 tons, were launched in March 1697. Upon the dissolution of

4680-500: The string. The string's resonant frequencies are the string's only possible standing waves, which only occur for wavelengths that are twice the string's length (corresponding to the fundamental frequency ) and integer divisions of that (corresponding to higher harmonics). The earlier equation gives the displacement y {\displaystyle y} of the wave at a position x {\displaystyle x} at time t {\displaystyle t} along

4752-416: The town hall, and many other buildings, killing 51 people and leaving an estimated 20,000 homeless. Reconstruction took more than 40 years. After periodic political unrest, particularly in 1848 , Hamburg adopted in 1860 a semidemocratic constitution that provided for the election of the Senate, the governing body of the city-state, by adult taxpaying males. Other innovations included the separation of powers,

4824-400: Was a four voice key-assignment keyboard with two formant filters and dynamic envelope controller. Eventually it went into commercial production by a factory in Dachau , and it became one of the earliest polyphonic synthesizer products, along with Novachord (1939) by Hammond . The Melochord (1947–1949), developed by Bode, was extensively used by Werner Meyer-Eppler in early days of

4896-408: Was a range of such Missingsch varieties, the best-known being the low-prestige ones of the working classes and the somewhat more bourgeois Hanseatendeutsch (Hanseatic German), although the term is used in appreciation. All of these are now moribund due to the influences of Standard German used by education and media. However, the former importance of Low German is indicated by several songs, such as

4968-432: Was also true for the two works by Karel Goeyvaerts produced there, and for Seismogramme (1954) by Henri Pousseur . He was the father of cinematographer Ralf D. Bode , and Peer Bode. Hamburg Hamburg ( German: [ˈhambʊʁk] , locally also [ˈhambʊɪ̯ç] ; Low Saxon : Hamborg [ˈhambɔːç] ), officially the Free and Hanseatic City of Hamburg ,

5040-421: Was invited as a chief engineer of the Norlin/ Moog Music after Robert Moog left. He died in New York in 1987. Bode's influence upon electronic music has persisted long after his death, with a number of 21st century musicians referencing or sampling his work. His complete estate is preserved at the ZKM | Center for Art and Media Karlsruhe , where it is accessible for research. Theory, circuits and devices to

5112-426: Was suggested by Portuguese residents to bring visibility to the Portuguese community in Hamburg. Hamburg's Afghan community of about 50,000 people is the largest not only in Germany, but also in Europe. They first came to Hamburg in the 1970s before expanding during the Afghan conflict in the 1980s and 1990s where many Afghan migrants chose to live in Hamburg. After 2015 the Afghan population almost doubled due to

5184-645: Was surrendered to British Forces on 3 May 1945, in the Battle of Hamburg , three days after Adolf Hitler 's death. After the Second World War , Hamburg formed part of the British Zone of Occupation ; it became a state of West Germany in 1949. On 16 February 1962, a North Sea flood caused the Elbe to rise to an all-time high, inundating one-fifth of Hamburg and killing more than 300 people. The inner German border – only 50 kilometres (30 mi) east of Hamburg – separated

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