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Johannes Widmann
Johannes Widmann (c. 1460 – after 1498) was a German mathematician. The + and - symbols first appeared in print in his book ''Mercantile Arithmetic'' or ''Behende und hüpsche Rechenung auff allen Kauffmanschafft'' published in Leipzig in 1489 in reference to surpluses and deficits in business problems. Born in Eger, Bohemia, Widmann attended the University of Leipzig in the 1480s. In 1482 he earned his " Baccalaureus" (Bachelor of Art degree) and in 1485 his " Magister" (doctorate). Widman published ''Behende und hübsche Rechenung auff allen Kauffmanschafft'' (German; i.e. Nimble and neat calculation in all trades), his work making use of the signs, in Leipzig in 1489. Further editions were published in Pforzheim, Hagenau, and Augsburg. Handwritten entries in a surviving collection show that after earning his "Magister" Widman announced holding lectures on e.g. calculating on the lines of a calculating board and on algebra. There is evidence that the lecture on algebra a ...
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Plus And Minus Signs
The plus and minus signs, and , are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference. Their use has been extended to many other meanings, more or less analogous. ''Plus'' and ''minus'' are Latin terms meaning "more" and "less", respectively. History Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity. The Egyptian hieroglyphic sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written ( Egyptian could be written either from right to left or left to right), with the reverse sign indicating subtraction: Nicole Oresme's manuscripts from the 14th century show what may be one of the earliest uses of as a sign for plus. In early 15th century Europe, the letters "P" and "M" were general ...
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Plus And Minus Signs
The plus and minus signs, and , are mathematical symbols used to represent the notions of positive and negative, respectively. In addition, represents the operation of addition, which results in a sum, while represents subtraction, resulting in a difference. Their use has been extended to many other meanings, more or less analogous. ''Plus'' and ''minus'' are Latin terms meaning "more" and "less", respectively. History Though the signs now seem as familiar as the alphabet or the Hindu-Arabic numerals, they are not of great antiquity. The Egyptian hieroglyphic sign for addition, for example, resembled a pair of legs walking in the direction in which the text was written ( Egyptian could be written either from right to left or left to right), with the reverse sign indicating subtraction: Nicole Oresme's manuscripts from the 14th century show what may be one of the earliest uses of as a sign for plus. In early 15th century Europe, the letters "P" and "M" were general ...
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Augsburg
Augsburg (; bar , Augschburg , links=https://en.wikipedia.org/wiki/Swabian_German , label=Swabian German, , ) is a city in Swabia, Bavaria, Germany, around west of Bavarian capital Munich. It is a university town and regional seat of the '' Regierungsbezirk'' Schwaben with an impressive Altstadt (historical city centre). Augsburg is an urban district and home to the institutions of the Landkreis Augsburg. It is the third-largest city in Bavaria (after Munich and Nuremberg) with a population of 300,000 inhabitants, with 885,000 in its metropolitan area. After Neuss, Trier, Cologne and Xanten, Augsburg is one of Germany's oldest cities, founded in 15 BC by the Romans as Augusta Vindelicorum, named after the Roman emperor Augustus. It was a Free Imperial City from 1276 to 1803 and the home of the patrician Fugger and Welser families that dominated European banking in the 16th century. According to Behringer, in the sixteenth century, it became "the dominant centre o ...
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15th-century Latin Writers
The 15th century was the century which spans the Julian dates from 1 January 1401 ( MCDI) to 31 December 1500 ( MD). In Europe, the 15th century includes parts of the Late Middle Ages, the Early Renaissance, and the early modern period. Many technological, social and cultural developments of the 15th century can in retrospect be seen as heralding the " European miracle" of the following centuries. The architectural perspective, and the modern fields which are known today as banking and accounting were founded in Italy. The Hundred Years' War ended with a decisive French victory over the English in the Battle of Castillon. Financial troubles in England following the conflict resulted in the Wars of the Roses, a series of dynastic wars for the throne of England. The conflicts ended with the defeat of Richard III by Henry VII at the Battle of Bosworth Field, establishing the Tudor dynasty in the later part of the century. Constantinople, known as the capital of the world an ...
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15th-century German Writers
The 15th century was the century which spans the Julian dates from 1 January 1401 ( MCDI) to 31 December 1500 ( MD). In Europe, the 15th century includes parts of the Late Middle Ages, the Early Renaissance, and the early modern period. Many technological, social and cultural developments of the 15th century can in retrospect be seen as heralding the " European miracle" of the following centuries. The architectural perspective, and the modern fields which are known today as banking and accounting were founded in Italy. The Hundred Years' War ended with a decisive French victory over the English in the Battle of Castillon. Financial troubles in England following the conflict resulted in the Wars of the Roses, a series of dynastic wars for the throne of England. The conflicts ended with the defeat of Richard III by Henry VII at the Battle of Bosworth Field, establishing the Tudor dynasty in the later part of the century. Constantinople, known as the capital of the world a ...
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15th-century German Mathematicians
The 15th century was the century which spans the Julian dates from 1 January 1401 ( MCDI) to 31 December 1500 ( MD). In Europe, the 15th century includes parts of the Late Middle Ages, the Early Renaissance, and the early modern period. Many technological, social and cultural developments of the 15th century can in retrospect be seen as heralding the " European miracle" of the following centuries. The architectural perspective, and the modern fields which are known today as banking and accounting were founded in Italy. The Hundred Years' War ended with a decisive French victory over the English in the Battle of Castillon. Financial troubles in England following the conflict resulted in the Wars of the Roses, a series of dynastic wars for the throne of England. The conflicts ended with the defeat of Richard III by Henry VII at the Battle of Bosworth Field, establishing the Tudor dynasty in the later part of the century. Constantinople, known as the capital of the world an ...
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Medieval German Mathematicians
In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire and transitioned into the Renaissance and the Age of Discovery. The Middle Ages is the middle period of the three traditional divisions of Western history: classical antiquity, the medieval period, and the modern period. The medieval period is itself subdivided into the Early, High, and Late Middle Ages. Population decline, counterurbanisation, the collapse of centralized authority, invasions, and mass migrations of tribes, which had begun in late antiquity, continued into the Early Middle Ages. The large-scale movements of the Migration Period, including various Germanic peoples, formed new kingdoms in what remained of the Western Roman Empire. In the 7th century, North Africa and the Middle East—most recently part of the Eastern Roman ...
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People From Cheb
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of pe ...
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1460s Births
146 may refer to: * 146 (number), a natural number *AD 146 __NOTOC__ Year 146 ( CXLVI) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Clarus and Severus (or, less frequently, year 899 ''Ab urb ..., a year in the 2nd century AD * 146 BC, a year in the 2nd century BC * 146 (Antrim Artillery) Corps Engineer Regiment, Royal Engineers See also * List of highways numbered 146 * {{Number disambiguation ...
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Moritz Cantor
Moritz Benedikt Cantor (23 August 1829 – 10 April 1920) was a German historian of mathematics. Biography Cantor was born at Mannheim. He came from a Sephardi Jewish family that had emigrated to the Netherlands from Portugal, another branch of which had established itself in Russia. In his early youth, Moritz Cantor was not strong enough to go to school, and his parents decided to educate him at home. Later, however, he was admitted to an advanced class of the Gymnasium in Mannheim. From there he went to the University of Heidelberg in 1848, and soon after to the University of Göttingen, where he studied under Gauss and Weber, and where Stern awakened in him a strong interest in historical research. After obtaining his PhD at the University of Heidelberg in 1851, he went to Berlin, where he eagerly followed the lectures of Peter Gustav Lejeune Dirichlet; and upon his return to Heidelberg in 1853, he was appointed privat-docent at the university. In 1863, he was promoted to t ...
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Erfurt
Erfurt () is the capital and largest city in the Central German state of Thuringia. It is located in the wide valley of the Gera river (progression: ), in the southern part of the Thuringian Basin, north of the Thuringian Forest. It sits in the middle of an almost straight line of cities consisting of the six largest Thuringian cities forming the central metropolitan corridor of the state, the "Thuringian City Chain" ('' Thüringer Städtekette'') with more than 500,000 inhabitants, stretching from Eisenach in the west, via Gotha, Erfurt, Weimar and Jena, to Gera in the east. Erfurt and the city of Göttingen in southern Lower Saxony are the two cities with more than 100,000 inhabitants closest to the geographic center of Germany. Erfurt is located south-west of Leipzig, north-east of Frankfurt, south-west of Berlin and north of Munich. Erfurt's old town is one of the best preserved medieval city centres in Germany. Tourist attractions include the Merchants' Bridg ...
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