134-452: Northern Germany (German: Norddeutschland , [ˈnɔʁtdɔɪ̯tʃlant] ) is a linguistic, geographic, socio-cultural and historic region in the northern part of Germany which includes the coastal states of Schleswig-Holstein , Mecklenburg-Vorpommern and Lower Saxony and the two city-states Hamburg and Bremen . It contrasts with Southern Germany , Western Germany , and Eastern Germany . Northern Germany generally refers to
268-435: A quadratic function across pairs of intervals or building an appropriately smooth approximation to the underlying distribution function that matches the known data. If the population mean and boundary values for each interval are also known, these can also often be used to improve the accuracy of the approximation. The Gini coefficient calculated from a sample is a statistic, and its standard error, or confidence intervals for
402-576: A referendum on whether to remain under Prussian rule or return to Danish rule. This condition, however, was never fulfilled by Prussia. During the decades of Prussian rule within the German Empire , authorities attempted a Germanisation policy in the northern part of Schleswig, which remained predominantly Danish. The period also meant increased industrialisation of Schleswig-Holstein and the use of Kiel and Flensburg as important Imperial German Navy locations. The northernmost part and west coast of
536-588: A chance in such a scenario. Therefore, they pressured the Prime Minister to call for new elections , where the Liberal Party did not secure enough votes to form a government. The Social Democrats won the election with a minority government and could not gather a strong enough mandate for the incorporation of South Schleswig. This outcome created outrage within the Danish population and was considered
670-502: A country. The Gini coefficient on disposable income—sometimes referred to as the after-tax Gini coefficient—is calculated on income after taxes and transfers. It measures inequality in income after considering the effect of taxes and social spending already in place in a country. For OECD countries over the 2008–2009 period, the Gini coefficient (pre-taxes and transfers) for a total population ranged between 0.34 and 0.53, with South Korea
804-415: A day: at breakfast, after lunch, in the evening at around 4 pm, and after dinner. Many people also drink a coffee at their place of work at the start of the day's work, and a coffee break with colleagues around an hour before or after lunch. There is also a strong tradition of taking coffee breaks and visiting cafés with friends and acquaintances. In places such as publicly funded universities where free coffee
938-498: A dozen variants of the Gini coefficient. The Gini coefficient was developed by the Italian statistician Corrado Gini and published in his 1912 paper Variabilità e mutabilità (English: variability and mutability ). Building on the work of American economist Max Lorenz , Gini proposed that the difference between the hypothetical straight line depicting perfect equality, and the actual line depicting people's incomes, be used as
1072-484: A duke within the Holy Roman Empire. Both were ruled for several centuries by the kings of Denmark. In 1721, all of Schleswig was united into a single duchy under the king of Denmark, and the great powers of Europe confirmed in an international treaty that all future kings of Denmark should automatically become dukes of Schleswig: consequently, Schleswig would always follow the order of succession that applied in
1206-493: A geometrical interpretation between Gini's proposed ratio and the ratio between the area of observed concentration and maximum concentration. This altered version of Gini coefficient became the most commonly used inequality index in upcoming years. According to data from OECD , Gini coefficient was first officially used country-wide in Canada in the 1970s. Canadian index of income inequality ranged from 0.303 to 0.284 from 1976 to
1340-598: A measure of inequality. In this paper, he introduced the concept of simple mean difference as a measure of variability. He then applied the simple mean difference of observed variables to income and wealth inequality in his work On the measurement of concentration and variability of characters in 1914. Here, he presented the concentration ratio , which further developed in the Gini coefficient used today. Secondly, Gini observed that his proposed ratio can be also achieved by improving methods already introduced by Lorenz, Chatelain, or Séailles. In 1915, Gaetano Pietra introduced
1474-887: A member of the German Confederation . These demands were rejected by the Danish government in 1848, and the Germans of Holstein and Southern Schleswig rebelled. This began the First Schleswig War (1848–51). Against unbelievable odds, Denmark emerged victorious, managing to politically outmaneuver the German alliance by garnering support from the British Empire , the Russian Empire and the Second French Empire while defeating
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#17327797956131608-534: A million refugees . Today, Schleswig-Holstein's economy is known for its agriculture, such as its Holstein cows . Its position on the Atlantic Ocean makes it a major trade point and shipbuilding site; it is also the location of the Kiel Canal . Its offshore oil wells and wind farms produce significant amounts of energy. Fishing is a major industry and the basis of its distinctive unique local cuisine. It
1742-412: A nation or a social group . It was developed by Italian statistician and sociologist Corrado Gini . The Gini coefficient measures the inequality among the values of a frequency distribution , such as levels of income . A Gini coefficient of 0 reflects perfect equality, where all income or wealth values are the same, while a Gini coefficient of 1 (or 100%) reflects maximal inequality among values,
1876-847: A natural decrease of −8,459. The region has been strongly Protestant since the time of the Protestant Reformation . It is proportionally the most Protestant of the sixteen modern states. In 2018, members of the Protestant Church in Germany make up 44.6% of the population, while members of the Catholic Church comprise 6.1%. 49.3% either adhere to other religions or disclaim any practising religious identity. Largest groups of foreign residents by 31 December 2023 Schleswig-Holstein combines Danish, Frisian and German aspects of culture. The castles and manors in
2010-446: A proportion f of all income, then the Gini coefficient is f − u . A more graded distribution with these same values u and f will always have a higher Gini coefficient than f − u . For example, if the wealthiest u = 20% of the population has f = 80% of all income (see Pareto principle ), the income Gini coefficient is at least 60%. In another example, if u = 1% of the world's population owns f = 50% of all wealth,
2144-438: A result, Danish students, future administrators, clergy, and educators were taught in German and continued to use the language throughout their professional lives. In 1814, mandatory schooling was instituted, and was taught in German. This created generations of Danish children who learned German from an early age. Their schooling was conducted in German, they heard sermons in German, and when they grew up, their interactions with
2278-514: A scandal. Due to the forced migrations of Germans between 1944 and 1950 , Schleswig-Holstein took in almost a million refugees after the war, increasing its population by 33%. A pro-Danish political movement arose in Schleswig, with transfer of the area to Denmark as an ultimate goal. This was supported neither by the British occupation administration nor the Danish government. In 1955,
2412-402: A situation where a single individual has all the income while all others have none. The Gini coefficient was proposed by Corrado Gini as a measure of inequality of income or wealth . For OECD countries in the late 20th century, considering the effect of taxes and transfer payments , the income Gini coefficient ranged between 0.24 and 0.49, with Slovakia being the lowest and Mexico
2546-564: A slightly stronger tradition of hard liquor , such as corn , vodka , and schnapps . Binge drinking is far more common in the north – almost 70% of binge drinking hospitalizations on weekends happen in the eight northern provinces and states containing just 40% of the population. As in all of Germany, mulled wine is a popular alcoholic drink during the Christmas season. In the Early Middle Ages , Northern Germany
2680-458: A third zone covering a southern area, but zone III was cancelled again and never voted, as the Danish government asked the commission not to expand the plebiscite to this area. In zone I covering Northern Schleswig (10 February 1920), 75% voted for reunification with Denmark and 25% voted for Germany. In zone II covering central Schleswig (14 March 1920), the results were reversed; 80% voted for Germany and just 20% for Denmark. Only minor areas on
2814-400: A variety of black puddings commonly eaten for brunch . Another northern German regional specialty are meatloaves ( Hackbraten ), made from a mixture of ground pork and beef and served with mashed potatoes, brown sauce and lingonberry jam. Many traditional meat-based lunch dishes are served with boiled or mashed potatoes and brown sauce. Eating brunch is very popular during weekends in
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#17327797956132948-496: Is a popular tourist destination for Germans and visitors from across the globe. The term "Holstein" derives from Old Saxon Holseta Land, ( Holz means wood in modern Standardized German; holt is a now-archaic English word for woods.) Originally, the term referred to the central of the three Saxon tribes north of the River Elbe : Tedmarsgoi ( Dithmarschen ), Holstein and Sturmarii ( Stormarn ). The area inhabited by
3082-613: Is an annual event, except for 2020 and 2021 due to the COVID19-Pandemic . It took place again in June 2022. The annual Wacken Open Air festival is considered to be the largest heavy metal rock festival in the world. The coat of arms shows the symbols of the two duchies united in Schleswig-Holstein, i.e., the two lions for Schleswig and the leaf of nettle for Holstein. Supposedly, Otto von Bismarck decreed that
3216-408: Is an exception insofar as tea is largely preferred over coffee there, to the extent that East Frisians drink about 300 litres (79 US gal) of tea per capita and year, more than in any particular country. Lunch at workplaces and educational institutions in northern Germany begins very early – usually between 11:45 and 12:15 pm, and dinner is usually eaten between 7 and 8 pm. This
3350-467: Is because the work and school day starts pretty early, at 8 am sharp. Lunches eaten at home during holidays and weekends usually start later – around 1 pm. The drinking culture in the north is more or less similar to that of the rest of the country, heavily based on beer with pale lagers and pilsners being favourites. Unlike Bavaria and Central Germany , dark beers or dark lagers are not at all popular in northern Germany. The north has
3484-553: Is centered around boiled potatoes , rye bread, dairy products, cabbages, cucumbers, berries, jams, fish , and pork and beef . A breakfast specialty is the crispbread ( Knäckebrot ), eaten with a variety of toppings such as ham, soft cheese, cucumber, tomatoes, and liver paste. Lentil stews and soups are very popular as a working lunch. Regional specialties in Schleswig-Holstein , Mecklenburg-Vorpommern and Lower Saxony include blood sausage ( Blutwurst ) and
3618-669: Is elected by the Landtag of Schleswig-Holstein . State elections were held on 8 May 2022 . The current government is a coalition of the Christian Democratic Union (CDU) and The Greens , led by Minister-President Daniel Günther . Schleswig-Holstein has an aging population. Since 1972 there has been a decrease in the natural rate of population change. In 2016 the total fertility rate reached 1.61, highest value in 40 years (the average value being 1.4). In 2016 there were 25,420 births and 33,879 deaths, resulting in
3752-513: Is equivalent to the definition based on the Lorenz curve . The mean absolute difference is the average absolute difference of all pairs of items of the population, and the relative mean absolute difference is the mean absolute difference divided by the average , x ¯ {\displaystyle {\bar {x}}} , to normalize for scale. If x i is the wealth or income of person i , and there are n persons, then
3886-430: Is from 0 (total equality) to 1 (absolute inequality). This measure is often rendered as a percentage, spanning 0 to 100. However, if negative values are factored in, as in cases of debt, the Gini index could exceed 1. Typically, we presuppose a positive mean or total, precluding a Gini coefficient below zero. An alternative approach is to define the Gini coefficient as half of the relative mean absolute difference , which
4020-737: Is given first. The German Football Association was founded in Leipzig in 1900. Several cities in Northern Germany have hosted matches of the 1974 FIFA World Cup , UEFA Euro 1988 and 2006 FIFA World Cup . The Nordderby ( Northern derby ) is played between Hamburger SV and SV Werder Bremen , whereas the Hamburg derby is played between Hamburger SV and FC St. Pauli . Other notable men's football clubs include Hertha Berlin , VfL Wolfsburg , Hannover 96 , Eintracht Braunschweig , F.C. Hansa Rostock , 1. FC Magdeburg . Hamburger SV won
4154-579: Is in Denmark ( South Jutland County , Region of Southern Denmark ). The state of Schleswig-Holstein further consists of Holstein, as well as Lauenburg and the formerly independent city of Lübeck. Schleswig-Holstein borders Denmark ( Southern Denmark ) to the north, the North Sea to the west, the Baltic Sea to the east, and the German states of Lower Saxony , Hamburg, and Mecklenburg-Vorpommern to
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4288-490: Is large, the income distribution may be represented by a continuous probability density function f ( x ) where f ( x ) dx is the fraction of the population with wealth or income in the interval dx about x . If F ( x ) is the cumulative distribution function for f ( x ): and L ( x ) is the Lorenz function: then the Lorenz curve L ( F ) may then be represented as a function parametric in L ( x ) and F ( x ) and
4422-457: Is not available to students, it is not uncommon for students to bring their own hot coffee in insulated flasks and drink from it intermittently. Cafés usually offer medium-fat milk and sugar cubes along with filter coffee . Commonly eaten desserts include waffles with ice cream, pancakes, the sweet bun roll with cream known as Heißwecke , and blueberry pie ( Heidelbeerkuchen ) with vanilla cream. The northwesternmost region of East Frisia
4556-474: Is perfect income equality when everyone's income x j {\displaystyle x_{j}} equals the mean income x ¯ {\displaystyle {\overline {x}}} , so that r j = 1 {\displaystyle r_{j}=1} for everyone). Measures of inequality, then, are measures of the average deviations of the r j = 1 {\displaystyle r_{j}=1} from 1;
4690-728: Is spoken in East and North Frisia , as well as Danish (Standard and South Jutlandic ) in parts of Schleswig . The key terrain feature of Northern Germany is the North German Plain including the marshes along the coastline of the North and Baltic Seas , as well as the geest and heaths inland. Also prominent are the low hills of the Baltic Uplands , the ground moraines , end moraines , sandur , glacial valleys , bogs and Luch . These features were formed during
4824-575: Is the error function ( since G = 2 Φ ( σ 2 ) − 1 {\displaystyle G=2\Phi \left({\frac {\sigma }{\sqrt {2}}}\right)-1} , where Φ {\displaystyle \Phi } is the cumulative distribution function of a standard normal distribution). In the table below, some examples for probability density functions with support on [ 0 , ∞ ) {\displaystyle [0,\infty )} are shown. The Dirac delta distribution represents
4958-796: Is the Bungsberg at 168 metres or 551 feet) and many lakes are found, especially in the eastern part of Holstein called the Holstein Switzerland and the former Duchy of Lauenburg ( Herzogtum Lauenburg ). The longest river besides the Elbe is the Eider . Schleswig-Holstein has the lowest quota of forest covered area, it is only 11.0% (national average 32.0%), which is even lower than in the city-states of Hamburg and Bremen . The German Islands of Sylt , Föhr , Pellworm , Amrum , Heligoland and Fehmarn are part of Schleswig-Holstein, with
5092-405: Is the fraction of the population with income or wealth y i > 0 {\displaystyle y_{i}>0} , the Gini coefficient is: where If the points with non-zero probabilities are indexed in increasing order ( y i < y i + 1 ) {\displaystyle (y_{i}<y_{i+1})} , then: where When the population
5226-399: Is the mean of the distribution, and the lower limits of integration may be replaced by zero when all incomes are positive. While the income distribution of any particular country will not correspond perfectly to the theoretical models , these models can provide a qualitative explanation of the income distribution in a nation given the Gini coefficient. The extreme cases are represented by
5360-943: The Sprachraum area north of the Uerdingen and Benrath line isoglosses , where Low German dialects are spoken. These comprise the Low Saxon dialects in the west (including the Westphalian language area up to the Rhineland ), the East Low German region along the Baltic coast with Western Pomerania , the Altmark and northern Brandenburg , as well as the North Low German dialects. Although from
5494-1152: The 1982–83 European Cup and six German championships, whereas Werder Bremen won the German championship four times and Hertha Berlin twice. In women's football, the VfL Wolfsburg won the Bundesliga three times and the UEFA Women's Champions League twice, whereas 1. FFC Turbine Potsdam won the Bundesliga six times and the UEFA Champions League twice. Notable Basketball Bundesliga teams include Alba Berlin , Basketball Löwen Braunschweig , Hamburg Towers and EWE Baskets Oldenburg . Notable Eishockey-Bundesliga teams include Eisbären Berlin , Grizzlys Wolfsburg , Hamburg Freezers , Hannover Scorpions and Fischtown Pinguins . Notable handball teams include GWD Minden , SG Flensburg-Handewitt , TuS Nettelstedt-Lübbecke , THW Kiel , Handball Hamburg , SC Magdeburg , Buxtehuder SV , VfL Oldenburg and HSG Blomberg-Lippe . Notable marathon races include
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5628-901: The Berlin Marathon (one of the World Marathon Majors ), Hamburg Marathon , Hannover Marathon . Notable tennis tournaments include the Halle Open , International German Open and Sparkassen Open . Other notable competitions are the Kiel Week , EuroEyes Cyclassics and the Hanse Sail . The Olympiastadion in Berlin has hosted the 1936 Summer Olympics , 2009 IAAF World Championships in Athletics and Internationales Stadionfest . The sailing competitions for
5762-624: The German Confederation , invoking the Treaty of Ribe stating that the two duchies should stay "Forever Undivided". The Danes on the other hand, furthered the Eider Policy ( da:Ejderpolitikken ), stating that the natural Danish border was the Eider (river) as first recognised in the Treaty of Heiligen . Therefore, the Danes sought to reintegrate Schleswig into the Kingdom of Denmark , reversing
5896-639: The Holy Roman Emperor . Around 1100, the Duchy of Saxony gave Holstein to Count Adolf I of Schauenburg . During the Migration Period , the Jutland peninsula was home to several tribes. The Jutes inhabitted the most northern part of the peninsula from Grenen to Olger's Dyke [ de ] . This dyke, dating back to around the first century, served as the boundary between
6030-523: The Hærvejen (Heerweg/Armyway), the main trade route running through the peninsula. Saxons, Wagrians, and Danes alike used the Hærvejen to trade goods such as honey, furs, amber, glass, metalwork, and other commodities, such as livestock, with cattle and oxen being particularly important. Especially the Danes developed a thriving livestock breeding industry, driving large herds along the Hærvejen to sell on
6164-486: The Kingdom of Bavaria . Cultural or political east–west divisions have existed in northern Germany since at least the early modern period, when During the Cold War of the second half of the 20th century, a cultural division of northern Germany into an Eastern and a Western part has become more pronounced due to the 1949–1990 division of all of Germany into West Germany and East Germany , where identities based upon
6298-649: The Limes Saxoniae as a border with the Obotrites. This agreement established firm boundaries between the Franks, Obotrites, and Danes, securing peace in the region. Between 500 and 1200, Schleswig was an integral part of Denmark, but during the 12th century, Duke Abel of Schlewig came into conflict with his brother King Eric IV . Abel managed to gain autonomy from his brother, making Schleswig an autonomous duchy. Later, Abel had Eric assassinated and seized
6432-700: The Region of Southern Denmark ) in Denmark . Schleswig was under Danish control during the Viking Age , but in the 12th century it became a duchy within Denmark. It bordered Holstein, which was a part of the Holy Roman Empire . Beginning in 1460, the King of Denmark ruled both Schleswig and Holstein as their duke. Schleswig was still part of Denmark, while Holstein remained part of the Holy Roman Empire. In
6566-589: The Second Schleswig War (1864), Prussia and Austria won and the territory was absorbed into Prussia in 1867. After the German defeat in World War I, the Allies required that the question of sovereignty over the territory be submitted to plebiscites (the 1920 Schleswig plebiscites ), which resulted in the return of some of the territory to Denmark. After World War II, Schleswig-Holstein took in over
6700-584: The Weichselian glaciation and contrast topographically with the adjacent Central Uplands of Germany to the south, such as the Harz and Teutoburg Forest , which are occasionally counted as part of Northern Germany. Northern Germany has traditionally been dominated by Protestantism , especially Lutheranism . The two northern provinces of Schleswig-Holstein and Lower Saxony have the highest proportion of self-reported Lutherans in Germany. Exceptions include
6834-408: The X k indexed in increasing order ( X k – 1 < X k ), so that: If the Lorenz curve is approximated on each interval as a line between consecutive points, then the area B can be approximated with trapezoids and: is the resulting approximation for G. More accurate results can be obtained using other methods to approximate the area B, such as approximating the Lorenz curve with
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#17327797956136968-651: The 1852 London Protocol. This left Denmark politically isolated and led to the Second Schleswig War , with Prussia and Austria invading once again. This was the Second War of Schleswig . Denmark achieved some initial victories at the Battles of Mysunde , and Sankelmark , but these successes were short-lived. The Austrians defeated the Danes at the Königshügel and Vejle . However, it was the Prussians who decided
7102-542: The 1936 and 1972 Summer Olympics were held at the Bay of Kiel. Schleswig-Holstein Schleswig-Holstein ( German: [ˌʃleːsvɪç ˈhɔlʃtaɪn] ; Danish : Slesvig-Holsten [ˌsle̝ːsvi ˈhʌlˌste̝ˀn] ; Low German : Sleswig-Holsteen ; North Frisian : Slaswik-Holstiinj ) is the northernmost of the 16 states of Germany , comprising most of the historical Duchy of Holstein and
7236-473: The 19th century onwards, the use of Standard German was strongly promoted especially by the Prussian administration, Low German dialects are still present in rural areas, with an estimated number of five to eight million active speakers. However, since World War II and the immigration of expellees from the former eastern territories of Germany , its prevalence has steadily reduced. Besides which, Frisian
7370-496: The 19th century, Danes and Germans each believed they had a claim to Schleswig-Holstein, the population of which was majority ethnic German. The resulting long-term political and territorial dispute was known as the Schleswig-Holstein Question . In 1848, Denmark tried to formally annex the area. Prussia responded by invading, thus beginning the First Schleswig War , which ended in a victory for Denmark. But in
7504-462: The Catholic districts of Emsland , Cloppenburg and Vechta in the west, traditionally linked to the Catholic region of Westphalia in the south, and the southernmost region of Lower Saxony , around the city of Duderstadt , comprising part of the traditional Catholic enclave of Eichsfeld . Culturally and socially, Northern Germany is characterized by higher levels of income equality and gender equality than southern and south-western Germany. While
7638-476: The Danes began constructing the Danevirke . Originally built as a dyke, it was gradually expanded into a 30-kilometer earthwork with a palisade fortification, forming a barrier between the Danes and their southern neighbors. The Danevirke was strategically positioned at the most narrow point of the peninsula, with its eastern end beginning at the Treene River and extending to the Schlei Bay . This fortification served to deter Saxon and Wagrian raids while enabling
7772-421: The Danes to launch their own raids into southern territories. It would remain in use until 1864, being expanded and adapted to the changing military needs of the Danes multiple times. The establishment of the Danevirke not only helped to prevent Saxon and Wagrian raids into Danish territory but also served as a toll station. Danish chieftains would collect fees from traders, merchants, and peasants traveling along
7906-479: The Danevirke, assembled a fleet, mustered an army, and launched attacks on the Obotrites and later Frankish Frisia. But he was slain, either by one of his huscarls or possibly his own illegitimate son, on the Frisian campaign. The new Danish king, Hemming , Gudfred's nephew, initiated peace talks, which resulted in the Treaty of Heiligen in 810. The treaty established the Danish border at the Eider River. Charlemagne retained Saxony, including Holstein, and established
8040-406: The Danish South Schleswig Association had sent the government a formal request for incorporation. However, the dominating Social Liberal Party feared that Denmark might again face destructive wars like the two Schleswig Wars once Germany recovered from World War II. Given that the Germans had conquered Denmark in six hours during the German invasion of Denmark , they believed Denmark would not stand
8174-522: The Danish language in Schleswig (the dominant language in almost a quarter of Schleswig had changed from Danish to German since the beginning of the 19th century). A liberal constitution for Holstein was not seriously considered in Copenhagen , since it was well known that the political élite of Holstein were more conservative than Copenhagen's. Representatives of German-minded Schleswig-Holsteiners demanded that Schleswig and Holstein be unified and allowed its own constitution and that Schleswig join Holstein as
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#17327797956138308-407: The Danish state or to forcibly expel them from South Schleswig, as was being done to Germans in Eastern Europe . Denmark's then Prime Minister, the Liberal Party's Knud Kristensen , enthusiastically accepted the offer of South Schleswig reunification with Denmark. A survey showed that 75% of the Danish population supported the incorporation, 500,000 signatures had been collected in support of it and
8442-408: The Franks until his death. Now, the Frisians' neighbors, the Saxons, faced Frankish expansion. The casus belli was a Saxon raid on the church in Deventer in January of 772. This conflict, fueled by Charlemagne 's desire to conquer the Saxons and convert them from their belief in the Germanic pantheon to Christianity , used the Deventer raid as a pretext to wage a war that would ultimately reshape
8576-524: The German and Danish governments issued the Bonn-Copenhagen Declarations confirming the rights of the ethnic minorities on both sides of the border. Conditions between the nationalities have since been stable and generally respectful. Schleswig-Holstein lies on the base of Jutland Peninsula between the North Sea and the Baltic Sea . Strictly speaking, "Schleswig" refers to the German Southern Schleswig (German: Südschleswig or Landesteil Schleswig , Danish : Sydslesvig ), whereas Northern Schleswig
8710-460: The Germanic pagan world. It has been postulated that Irminsul symbolised Yggdrasil Ash - the world tree. Charlemagne then destroyed all Saxon settlements up to the Wesser river. After defeating the Saxons and securing hostages , he turned his attention to northern Italy . For centuries, the Danes and Saxons had regarded each other as kindred peoples, sharing the same belief in the Germanic pantheon and frequently intermarrying, especially among
8844-429: The Germans at the Battles of Bov , the Dybbøl , the Fredericia and Isted . However, under pressure from the Great Powers , led by Tsar Alexander III , who had forced Prussia and Austria out of Denmark, the Danes were not permitted to reintegrate Schleswig into Denmark. Alexander thereby sought to preserve the existing European order,in accordance with the principles established by the Concert of Europe . This led to
8978-437: The Gini coefficient G is given by: When the income (or wealth) distribution is given as a continuous probability density function p ( x ), the Gini coefficient is again half of the relative mean absolute difference: where μ = ∫ − ∞ ∞ x p ( x ) d x {\displaystyle \textstyle \mu =\int _{-\infty }^{\infty }xp(x)\,dx}
9112-687: The Gini coefficient will be a function only of a, b, c... . For example, for the exponential distribution , which is a function of only x and a scale parameter, the Gini coefficient is a constant, equal to 1/2. For some functional forms, the Gini index can be calculated explicitly. For example, if y follows a log-normal distribution with the standard deviation of logs equal to σ {\displaystyle \sigma } , then G = erf ( σ 2 ) {\displaystyle G=\operatorname {erf} \left({\frac {\sigma }{2}}\right)} where erf {\displaystyle \operatorname {erf} }
9246-423: The Jutes in the north and the Angles in the south. This dyke lost its relevance in the 200s when the Angles expanded northward, leading to the establishment of a new dyke called the Wendish Dyke [ da ] . The southern border of the Angles was marked by the marshes surrounding the Eider , that combined with the dense old-growth forrest to the south of the river, formed a natural barrier. South of
9380-421: The Jutes, Angles, and Saxons depart from their homelands to settle in the British Isles . This mass exodus left much of the Jutland Peninsula sparsely populated, allowing the Danes from southern Scandinavia and the islands of Zealand , Funen , and other smaller Danish isles to migrate into the peninsula. They gradually settled the region, integrating the remaining Jutes and Angles who had not left for Britain. By
9514-520: The Kingdom of Denmark. Following the Protestant Reformation, German was established as the language of commerce, administration, education, and clergy in Schleswig despite the population being ethnically Danish. This was because Schleswig were managed by the German Chancellery, in Kiel, which was later renamed the Schleswig-Holstein Chancellery in 1806. Therefore, Danes were sent to Kiel for their education instead of Copenhagen, where they received their education in German rather than their native Danish. As
9648-516: The Name of the agency using the logo is shown or the motto "Der echte Norden" (Germany's true North). Gini coefficient In economics , the Gini coefficient ( / ˈ dʒ iː n i / JEE -nee ), also known as the Gini index or Gini ratio , is a measure of statistical dispersion intended to represent the income inequality , the wealth inequality , or the consumption inequality within
9782-655: The Prussian province Schleswig-Holstein came under British occupation . On 23 August 1946, the military government abolished the province and reconstituted it as a separate Land . On 9 September 1946, the British and Soviets offered Denmark South Schleswig, in the Septembernote [ de ] . In this note, they gave Denmark carte blanche on how to deal with the German-speaking South Schleswigers, whether to integrate them into
9916-627: The Romans and crowned Holy Roman Emperors . From 1500 onwards, the former Saxon territories (except for Westphalia) were incorporated into the Lower Saxon Circle of the Holy Roman Empire . The Hanseatic League is also part of the common history and culture of the cities in northern Germany. Northern Germany corresponds to the territory of the North German Confederation in the 19th century. The boundary between
10050-586: The administration and business were conducted in German. Additionally, if Danes didn't learn German, they couldn't communicate with the administration, which often cared little if the citizens were able to understand them. Therefore, if the Danes weren't able to speak German, they were effectively frozen out of any official matters. As a result, a language shift slowly began forming in South Schleswig and gradually spread north, which alarmed Copenhagen. The Danish authorities started taking countermeasures to halt
10184-412: The case where everyone has the same wealth (or income); it implies no variations between incomes. Sometimes the entire Lorenz curve is not known, and only values at certain intervals are given. In that case, the Gini coefficient can be approximated using various techniques for interpolating the missing values of the Lorenz curve. If ( X k , Y k ) are the known points on the Lorenz curve, with
10318-537: The city of Schleswig . The word Schleswig is a German transliteration of the Danish word Slesvig, which consists of two words: Schlei and vig. The Schlei refers to the river at which the city lies, and vig means " inlet " or bay. Schleswig therefore means (in Danish): "The bay at the river Schlei". The Schlei is known as Slien in Danish and is believed to have been used only for the inner Slien (the Great and Little Bay near
10452-534: The city of Schleswig). The word is thought to be related to Slæ, which means reeds and aquatic plants found in this area. The Duchy of Schleswig , or Southern Jutland, was originally an integral part of Denmark, but in medieval times was established as a fief under the control of the Kingdom of Denmark, having the same relationship with the Danish Crown as, for example, Brandenburg or Bavaria had with
10586-494: The continent. This trade gave the route its alternative names, such as "Studevejen" (Cattle Way) in Danish and "Ochsenweg" (Oxen Way) in German. Therefore control of the Danevirke, through which the Hærvejen ran, was of immense financial significance. Whoever controlled the gates of Danevirke also controlled the trade along the Hærvejen, giving them access to substantial wealth. After approximately 350 to 400 years of Danes being
10720-732: The countryside are the best example for this tradition; some dishes like Rødgrød (German: Rote Grütze , literal English "red grits " or "red groats ") are also shared, as well as surnames such as Hansen . The most important festivals are the Kiel Week, Schleswig-Holstein Musik Festival , an annual classic music festival all over the state, and the Lübeck Nordic Film Days , an annual film festival for movies from Scandinavian countries, held in Lübeck. The Kiel Week
10854-412: The distance of the inequality ratios (the r j ) from 1. Gini coefficients of income are calculated on a market income and a disposable income basis. The Gini coefficient on market income—sometimes referred to as a pre-tax Gini coefficient—is calculated on income before taxes and transfers. It measures inequality in income without considering the effect of taxes and social spending already in place in
10988-496: The distribution of income/wealth, used to estimate how far a country's wealth or income distribution deviates from an equal distribution. The Gini coefficient is usually defined mathematically based on the Lorenz curve , which plots the proportion of the total income of the population (y-axis) that is cumulatively earned by the bottom x of the population (see diagram). The line at 45 degrees thus represents perfect equality of incomes. The Gini coefficient can then be thought of as
11122-547: The division did not last long, since Prussia annexed Holstein in 1867, after its victory in the Austro-Prussian War . Contrary to the hopes of German Schleswig-Holsteiners, the area did not gain its independence, but was annexed as a province of Prussia in 1867. Also following the Austro-Prussian War in 1866, section five of the Peace of Prague stipulated that the people of Northern Schleswig would be consulted in
11256-570: The duchy of Holstein to the head of the (German-oriented) branch of the Danish royal family, the House of Augustenborg , was more controversial. The separation of the two duchies was challenged by the Augustenborg heir, who claimed, as in 1848, to be rightful heir of both Schleswig and Holstein. A common constitution for Denmark and Schleswig was promulgated in November 1863, which was a breach of
11390-460: The early 20th century was based on well-off, literate and landowning yeoman farmers owning relatively large pieces of land, making a living growing grain crops and raising dairy cattle and pigs, and a large and educated middle class in the towns and cities working in the civil service, or as businessmen, artisans, blue-collar workers and skilled workers. Thus, the proportion of serfs, landless labourers, semi-skilled industrial workers and large landlords
11524-470: The elite. Thus, the defeated Saxon warleader Widukind sought refuge with his father-in-law, Danish king Sigfred . The Royal Frankish Annals mention that Widukind received substantial aid from Sigfred, though the exact nature of this aid is not explicitly stated. However, the chronicles do note that Sigfred and Charlemagne brokered a peace agreement some years later, indicating that Sigfred, upon hearing Widukind's plea, may have mustered his army and joined
11658-423: The end of 1980s. OECD started to publish more countries’ data since the start of the 21st century. Central European countries Slovenia , Czechia , and Slovakia have had the lowest inequality index out of all OECD countries ever since the 2000s. Scandinavian countries also frequently appeared at the top of the list of equality in the last decades. The Gini coefficient is an index for the degree of inequality in
11792-451: The error distributions and the independence of error terms. These assumptions are often not valid for real data sets. There is still ongoing debate surrounding this topic. Guillermina Jasso and Angus Deaton independently proposed the following formula for the Gini coefficient: where μ {\displaystyle \mu } is mean income of the population, P i is the income rank P of person i, with income X, such that
11926-401: The estimate of A can be used to derive the estimate of G directly without using a jackknife. This method only requires using ordinary least squares regression after ordering the sample data. The results compare favorably with the estimates from the jackknife with agreement improving with increasing sample size. However, it has been argued that this depends on the model's assumptions about
12060-758: The forest lay the region now known as Holstein, which was divided between the Germanic Saxons , who inhabited the western part, and the Slavic Wagri , who lived in the eastern part. In the 8th century, the Wagri would become part of the Slavic tribal confederation known as the Obotrites . (Also known as the Wends by the Danes and Saxons). During the 4th and early 5th centuries, a significant migration saw
12194-538: The former Iron Curtain and mutual prejudices regarding what once was the other side may still persist today. A number of Scottish and English Lutheran Families settled in Northern Germany between the years 1683 and 1709, with the result that many Germans in Northwest Germany can claim Scottish and English ancestry. The term northern German states is always used to refer to the following coastal federal States of Germany : In some cases, it also includes
12328-525: The global income in 2005 has been estimated to be between 0.61 and 0.68 by various sources. There are some issues in interpreting a Gini coefficient, as the same value may result from many different distribution curves. To mitigate this, the demographic structure should be taken into account. Countries with an aging population, or those with an increased birth rate, experience an increasing pre-tax Gini coefficient even if real income distribution for working adults remains constant. Many scholars have devised over
12462-435: The greater the average deviation, the greater the inequality. Based on these observations the inequality indices have this common form: where p j weights the units by their population share, and f ( r j ) is a function of the deviation of each unit's r j from 1, the point of equality. The insight of this generalized inequality index is that inequality indices differ because they employ different functions of
12596-406: The highest. African countries had the highest pre-tax Gini coefficients in 2008–2009, with South Africa having the world's highest, estimated to be 0.63 to 0.7. However, this figure drops to 0.52 after social assistance is taken into account, and drops again to 0.47 after taxation. The country with the lowest Gini coefficient is Slovakia, with a Gini coefficient of 0.232. The Gini coefficient of
12730-436: The integration is taken from minus infinity to plus infinity.) The Gini coefficient may be expressed in terms of the quantile function Q ( F ) (inverse of the cumulative distribution function: Q(F(x)) = x) Since the Gini coefficient is independent of scale , if the distribution function can be expressed in the form f(x,φ,a,b,c...) where φ is a scale factor and a, b, c... are dimensionless parameters, then
12864-507: The island of Föhr showed a Danish majority, and the rest of the Danish vote was primarily in the town of Flensburg. On 15 June 1920, Northern Schleswig officially returned to Danish rule. The Danish/German border was the only one of the borders imposed on Germany by the Treaty of Versailles after World War I that was never challenged by Adolf Hitler . In 1937, the Nazis passed the so-called Greater Hamburg Act ( Groß-Hamburg-Gesetz ), where
12998-470: The language shift by banning German in all official matters in Schleswig, which only served to create tensions between Danes and Germans. This language strife significantly contributed to shaping the inhabitants' national sentiments during a time of national unrest in Europe. It is also during this period that we see surname changes, such as from Jørgensen to Jürgensen or Nielsen to Nilsen, in South Schleswig. By
13132-429: The larger towns and cities. In regions nearer to the coast, fish is very popular, with pickled herring and salmon being delicacies. Drinking coffee is firmly rooted in northern Germany and the northern provinces on average consume around 8 kilograms (18 lb) of coffee per capita annually. This is more than the 6 kilograms (13 lb) of coffee per capita consumed in the south. Coffee is frequently drunk four times
13266-415: The latter being the largest and the only Island of Schleswig-Holstein located on the east coast. Heligoland is Germany's only high-sea island. Schleswig-Holstein is divided into 11 Kreise (Districts) and four Kreisfreie Städte (Urban Districts). Schleswig-Holstein has its own parliament and government which are located in the state capital Kiel. The Minister-President of Schleswig-Holstein
13400-524: The lowest and Italy the highest. The Gini coefficient (after-taxes and transfers) for a total population ranged between 0.25 and 0.48, with Denmark the lowest and Mexico the highest. For the United States, the country with the largest population among OECD countries, the pre-tax Gini index was 0.49, and the after-tax Gini index was 0.38 in 2008–2009. The OECD average for total populations in OECD countries
13534-499: The mid 5th century, the Danes had established settlements from Grenen in the north to just north of the Eider River and its marshes. Their southernmost settlements being around Schwansen , Hedeby and Husum , mirroring the same southern border as their Angle predecessors. As raiding was a frequent practice among the Danes, Saxons, and Wagrians, the borderlands was a hostile and unsafe area to inhabit. In response to these threats,
13668-406: The most equal possible society in which every person receives the same income ( G = 0 ), and the most unequal society (with N individuals) where a single person receives 100% of the total income and the remaining N − 1 people receive none ( G = 1 − 1/ N ). A simple case assumes just two levels of income, low and high. If the high income group is a proportion u of the population and earns
13802-528: The national federal Gini coefficient for Germany stands at around 30, the southern states have a Gini coefficient of 30.6 whereas for the Northern states the Gini coefficient stands at 27.5 which is closer to the Scandinavian average of 25. Traditional society in the western part of Northern Germany ( Schleswig-Holstein , Lower Saxony and some parts of North Rhine-Westphalia and Saxony-Anhalt ) until
13936-495: The nearby Free and Hanseatic City of Hamburg was expanded, to encompass towns that had formerly belonged to the Prussian province of Schleswig-Holstein . To compensate Prussia for these losses (and partly because Hitler had a personal dislike for Lübeck ), the 711-year-long independence of the Hansestadt Lübeck came to an end, and almost all its territory was incorporated into Schleswig-Holstein. After World War II ,
14070-469: The need to divide by N² instead. FAO explains another version of the formula. The Gini coefficient and other standard inequality indices reduce to a common form. Perfect equality—the absence of inequality—exists when and only when the inequality ratio, r j = x j / x ¯ {\displaystyle r_{j}=x_{j}/{\overline {x}}} , equals 1 for all j units in some population (for example, there
14204-462: The non-coastal states of: Northern Germany as a region or as a historical landscape includes additional federal states (see geography above). Northwestern Germany is usually considered to be part of Northern Europe both culturally and geographically where as the southern states are much closer to Central European cultures. Where a city has different names in English and German, the English name
14338-660: The political and cultural landscape of what would later become Holstein forever. Over the course of 18 campaigns, carried out in three phases over 32 years, Charlemagne aimed to subdue the Saxons and forcibly convert them to Christianity, in what became known as the Saxon Wars . In retaliation for the raid on the church in Deventer, Charlemagne ordered his troops to destroy the holy pillar Irminsul , near Paderborn in either 772 or 773—a notorious act that sent shockwaves throughout
14472-432: The population Gini coefficient, should be reported. These can be calculated using bootstrap techniques, mathematically complicated and computationally demanding even in an era of fast computers. Economist Tomson Ogwang made the process more efficient by setting up a "trick regression model" in which respective income variables in the sample are ranked, with the lowest income being allocated rank 1. The model then expresses
14606-551: The province saw a wave of emigration to America, while some Danes of North Schleswig emigrated to Denmark. Following the defeat of Germany in World War I , the Allied powers arranged a plebiscite in northern and central Schleswig . The plebiscite was conducted under the auspices of an international commission which designated two voting zones to cover the northern and south-central parts of Schleswig. Steps were taken to also create
14740-408: The rank (dependent variable) as the sum of a constant A and a normal error term whose variance is inversely proportional to y k : Thus, G can be expressed as a function of the weighted least squares estimate of the constant A and that this can be used to speed up the calculation of the jackknife estimate for the standard error. Economist David Giles argued that the standard error of
14874-428: The ratio of the area that lies between the line of equality and the Lorenz curve (marked A in the diagram) over the total area under the line of equality (marked A and B in the diagram); i.e., G = A /( A + B ) . If there are no negative incomes, it is also equal to 2 A and 1 − 2 B due to the fact that A + B = 0.5 . Assuming non-negative income or wealth for all, the Gini coefficient's theoretical range
15008-674: The region was referred to as Uthlande (Outland). In these settlements, the Frisians established fishing and trading stations. The local Danes soon became a minority and, over time, assimilated into the Frisian population. The Frisians contributed to the broader Hærvejen trade network, with sea routes extending along the Frisian and Dutch coasts, supplying high-quality salt, fish, and other maritime goods. Moreover, they were particularly active in trade with East Anglia in England , where pottery
15142-549: The richest person receives a rank of 1 and the poorest a rank of N . This effectively gives higher weight to poorer people in the income distribution, which allows the Gini to meet the Transfer Principle . Note that the Jasso-Deaton formula rescales the coefficient so that its value is one if all the X i {\displaystyle X_{i}} are zero except one. Note however Allison's reply on
15276-604: The sample Gini coefficient is a consistent estimator of the population Gini coefficient, but is not in general unbiased . In simplified form: There does not exist a sample statistic that is always an unbiased estimator of the population Gini coefficient. For a discrete probability distribution with probability mass function f ( y i ) , {\displaystyle f(y_{i}),} i = 1 , … , n {\displaystyle i=1,\ldots ,n} , where f ( y i ) {\displaystyle f(y_{i})}
15410-569: The separation created by King Abel, while also granting Holstein independence to join the German Confederation as a sovereign entity. The resulting long-term political and territorial dispute was known as the Schleswig-Holstein Question . Holstein was entirely German-speaking, while Schleswig was predominantly Danish-speaking until the late 1700 and early 1800s. During this period, a linguistic shift began in southern Schleswig, transitioning from Danish to German. This meant that Schleswig
15544-411: The signing of the 1852 London Protocol , which failed to provide a solution to the issue and merely upheld the status quo. In 1863, conflict broke out again when Frederick VII died without legitimate issue. According to the order of succession of Denmark and Schleswig, the crowns of both Denmark and Schleswig would pass to Duke Christian of Glücksburg , who became Christian IX . The transmission of
15678-560: The sole inhabitants north of the Eider, the Frisians arrived in two waves, the first of which occurred in the 800s. They came from Frisia and initially settled on the islands of Heligoland , Sylt , Föhr and Amrum in the southwestern part of Jutland. Later, they expanded to Eiderstedt and the Jutish coastline. These areas eventually became known as North Frisia , though historically,
15812-644: The south. In the western part of the state, the lowlands have virtually no hills. The North Frisian Islands , as well as almost all of Schleswig-Holstein's North Sea coast, form the Schleswig-Holstein Wadden Sea National Park ( Nationalpark Schleswig-Holsteinisches Wattenmeer ) which is the largest national park in Central Europe. The Baltic Sea coast in the east of Schleswig-Holstein is marked by bays, fjords , and cliff lines. Rolling hills (the highest elevation
15946-455: The southern part of the former Duchy of Schleswig . Its capital city is Kiel ; other notable cities are Lübeck and Flensburg . It covers an area of 15,763 km (6,086 sq mi), making it the 5th smallest German federal state by area (including the city-states). Historically, the name can also refer to a larger region, containing both present-day Schleswig-Holstein and the former South Jutland County (Northern Schleswig; now part of
16080-406: The spheres of political influence of Prussia (Northern Germany) and Austria (Southern Germany) within the German Confederation (1815–1866) was known as the "Main line" ( Mainlinie , after the river Main ), Frankfurt am Main being the seat of the federal assembly. The "Main line" did not follow the course of the river Main upstream of Frankfurt, rather corresponding to the northern border of
16214-408: The throne. Despite this, Schleswig remained an autonomous duchy within the Kingdom, setting the stage for future conflicts. Beginning in 1460, both the Duchy of Schleswig and Duchy of Holstein , were ruled together by the Danish king, who acted as the duke of both regions. Holstein being a duchy within the Holy Roman Empire created a situation where the Danish king was sovereign of Denmark but also
16348-595: The time of the First Schleswig War, one-third of Schleswig and half of South Schleswig spoke German as their first language. By the time of the Second Schleswig War in 1864, half of Schleswig and the vast majority of South Schleswig spoke German as their first language. In the 19th century, fueled by nationalism both Danes and Germans claimed Schleswig-Holstein. The Germans wanted both Schleswig and Holstein to separate from Denmark and join
16482-684: The tribe of the Holsts lay between the Stör River and Hamburg ; after Christianization , their main church was in Schenefeld . Saxon Holstein became a part of the Holy Roman Empire after Charlemagne 's Saxon campaigns in the late eighth century. Beginning in 811, the northern border of Holstein (and thus of the Empire) was the River Eider . The term "Schleswig" originally referred to
16616-562: The two lions were to face the nettle because of the discomfort to their bottoms which would have resulted if the lions faced away from it. Government agencies of Schleswig-Holsteins are using a logo showing a stylized version of the Schleswig Lions and the Holstein nettle combined with the abbreviation of Schleswig-Holstein "SH". Written either below or to the right of the lion and the nettle is "Schleswig-Holstein" below which either
16750-445: The value of B can be found by integration : The Gini coefficient can also be calculated directly from the cumulative distribution function of the distribution F ( y ). Defining μ as the mean of the distribution, and specifying that F ( y ) is zero for all negative values, the Gini coefficient is given by: The latter result comes from integration by parts . (Note that this formula can be applied when there are negative values if
16884-580: The war by decisively winning the pivotal Battles of Dybbøl and Als . British attempts to mediate in the London Conference of 1864 failed. With the peace Treaty of Vienna (1864) , Denmark was forced to cede Schleswig to Prussia and Holstein to Austria. The two victors divided the duchies despite their casus belli being the defence of the German-speaking Schleswig-Holsteiners' wish to remain unified. But
17018-567: The war on the side of the Saxons. In response to the Danes' involvement in the war, Charlemagne seems to have recruited the Obotrites by promising them the Saxon portion of Holstein. This alliance with Charlemagne shifted the balance of power in the region. In 782, after another defeat of the Saxons, Charlemagne ordered the mass execution of 4,500 Saxons, an atrocity that became known as the Massacre of Verden . Following this brutal act, Charlemagne
17152-572: The wealth Gini coefficient is at least 49%. In some cases, this equation can be applied to calculate the Gini coefficient without direct reference to the Lorenz curve . For example, (taking y to indicate the income or wealth of a person or household): The Gini coefficient can also be considered as half the relative mean absolute difference . For a random sample S with values y 1 ≤ y 2 ≤ ⋯ ≤ y n {\displaystyle y_{1}\leq y_{2}\leq \cdots \leq y_{n}} ,
17286-524: Was 0.46 for the pre-tax income Gini index and 0.31 for the after-tax income Gini index. Taxes and social spending that were in place in 2008–2009 period in OECD countries significantly lowered effective income inequality, and in general, "European countries—especially Nordic and Continental welfare states —achieve lower levels of income inequality than other countries." Using the Gini can help quantify differences in welfare and compensation policies and philosophies. However, it should be borne in mind that
17420-572: Was exchanged in large quantities. Normalcy in the area vanished with the expansion of the Frankish Empire into Saxony from 772 to 804, triggering a generational war on an unprecedented scale for the region. Prior to this, the Franks had spent nearly 20 years, from the late 600s to the early 700s, subjugating and converting the Frisian Kingdom . Their primary opponent was the formidable Frisian king Redbad , who fiercely resisted
17554-457: Was linguistically divided with a Danish-speaking north and a German-speaking south. In 1848, King Frederick VII of Denmark declared that he would grant Denmark a liberal constitution and the immediate goal of the Danish national movement was to ensure that this constitution would give rights to all Danes, i.e. not only to those in the Kingdom of Denmark, but also to Danes (and Germans) living in Schleswig. Furthermore, they demanded protection for
17688-554: Was nicknamed the "Butcher of Saxons" or "Saxonslaughterer." In 796, despite Saxony being fully under Frankish rule, the Saxons rose up once more, supported by the Danes. The rebellion was triggered by forced conscription of Saxons for the Frankish wars against the Avars . Moreover, Charlemagne, in alliance with the Obotrites, planned to subjugate the Danes, now led by King Gudfred Sigfredson . However, Gudfred struck first. He expanded
17822-514: Was relatively smaller, making for a more stable society than elsewhere in Germany like the Rhineland region and the region east of the Elbe river. Additionally, Northern cities like Hamburg , Bremen and Rostock have always been economic powerhouses of trade and commerce and have had a long tradition of innovation and creativity in business and industry. The traditional northern German daily diet
17956-719: Was the settlement area of the Saxon tribes, which were subjugated by the Frankish ruler Charlemagne in the Saxon Wars from 772 onwards, whereafter the Imperial Duchy of Saxony was established in 804. In the 10th century the Saxon lands, enlarged by the Saxon Eastern March , became the cradle of the Kingdom of Germany and the Holy Roman Empire , when the dukes of the Ottonian dynasty were elected King of
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