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Grassmann Bundle
Hermann Günther Grassmann (german: link=no, Graßmann, ; 15 April 1809 – 26 September 1877) was a German polymath known in his day as a linguist and now also as a mathematician. He was also a physicist, general scholar, and publisher. His mathematical work was little noted until he was in his sixties. Biography Hermann Grassmann was the third of 12 children of Justus Günter Grassmann, an ordained minister who taught mathematics and physics at the Stettin Gymnasium, where Hermann was educated. Grassmann was an undistinguished student until he obtained a high mark on the examinations for admission to Prussian universities. Beginning in 1827, he studied theology at the University of Berlin, also taking classes in classical languages, philosophy, and literature. He does not appear to have taken courses in mathematics or physics. Although lacking university training in mathematics, it was the field that most interested him when he returned to Stettin in 1830 after completing ...
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Stettin
Szczecin (, , german: Stettin ; sv, Stettin ; Latin language, Latin: ''Sedinum'' or ''Stetinum'') is the capital city, capital and largest city of the West Pomeranian Voivodeship in northwestern Poland. Located near the Baltic Sea and the Poland-Germany border, German border, it is a major port, seaport and Poland's seventh-largest city. As of December 2021, the population was 395,513. Szczecin is located on the river Oder, south of the Szczecin Lagoon and the Bay of Pomerania. The city is situated along the southwestern shore of Dąbie Lake, on both sides of the Oder and on several large islands between the western and eastern branches of the river. Szczecin is adjacent to the Police, West Pomeranian Voivodeship, town of Police and is the urban centre of the Szczecin agglomeration, an extended metropolitan area that includes communities in the States of Germany, German states of Brandenburg and Mecklenburg-Western Pomerania. Szczecin is the administrative and industrial cen ...
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Deutsche Wochenschrift Für Staat, Kirche Und Volksleben
Deutsch or Deutsche may refer to: *''Deutsch'' or ''(das) Deutsche'': the German language, in Germany and other places *''Deutsche'': Germans, as a weak masculine, feminine or plural demonym *Deutsch (word), originally referring to the Germanic vernaculars of the Early Middle Ages Businesses and organisations *André Deutsch, an imprint of Carlton Publishing Group * Deutsch Inc., a former American advertising agency that split in 2020 into: ** Deutsch NY, a New York City-based advertising agency * Deutsche Aerospace AG *Deutsche Akademie, a cultural organisation, superseded by the Goethe-Institut * Deutsche Bahn, the German railway service *Deutsche Bank *Deutsche Börse, a German stock exchange *Deutsche Geophysikalische Gesellschaft, the German Geophysical Society *Deutsche Grammophon, a German classical music record label * Deutsch Group, an international connector manufacturer *Deutsche Luft Hansa (1926–1945) *Deutsche Lufthansa (since 1953), an airline * Deutsche Marine, ...
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Ernst Kummer
Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics; afterwards, he taught for 10 years in a '' gymnasium'', the German equivalent of high school, where he inspired the mathematical career of Leopold Kronecker. Life Kummer was born in Sorau, Brandenburg (then part of Prussia). He was awarded a PhD from the University of Halle in 1831 for writing a prize-winning mathematical essay (''De cosinuum et sinuum potestatibus secundum cosinus et sinus arcuum multiplicium evolvendis''), which was eventually published a year later. In 1840, Kummer married Ottilie Mendelssohn, daughter of Nathan Mendelssohn and Henriette Itzig. Ottilie was a cousin of Felix Mendelssohn and his sister Rebecca Mendelssohn Bartholdy, the wife of the mathematician Peter Gustav Lejeune Dirichlet. His second wife (whom he married soon after the death of Ottilie in 1848), Bertha Cauer, was a maternal co ...
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Mineralogy
Mineralogy is a subject of geology specializing in the scientific study of the chemistry, crystal structure, and physical (including optical) properties of minerals and mineralized artifacts. Specific studies within mineralogy include the processes of mineral origin and formation, classification of minerals, their geographical distribution, as well as their utilization. History Early writing on mineralogy, especially on gemstones, comes from ancient Babylonia, the ancient Greco-Roman world, ancient and medieval China, and Sanskrit texts from ancient India and the ancient Islamic world. Books on the subject included the ''Naturalis Historia'' of Pliny the Elder, which not only described many different minerals but also explained many of their properties, and Kitab al Jawahir (Book of Precious Stones) by Persian scientist Al-Biruni. The German Renaissance specialist Georgius Agricola wrote works such as '' De re metallica'' (''On Metals'', 1556) and ''De Natura Fossilium'' ( ...
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Chemistry
Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a Chemical reaction, reaction with other Chemical substance, substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both Basic research, basic and Applied science, applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties ...
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Physics
Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, with its main goal being to understand how the universe behaves. "Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physic ...
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Classics
Classics or classical studies is the study of classical antiquity. In the Western world, classics traditionally refers to the study of Classical Greek and Roman literature and their related original languages, Ancient Greek and Latin. Classics also includes Greco-Roman philosophy, history, archaeology, anthropology, art, mythology and society as secondary subjects. In Western civilization, the study of the Greek and Roman classics was traditionally considered to be the foundation of the humanities, and has, therefore, traditionally been the cornerstone of a typical elite European education. Etymology The word ''classics'' is derived from the Latin adjective '' classicus'', meaning "belonging to the highest class of citizens." The word was originally used to describe the members of the Patricians, the highest class in ancient Rome. By the 2nd century AD the word was used in literary criticism to describe writers of the highest quality. For example, Aulus Gellius, in his ''Att ...
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Prussia
Prussia, , Old Prussian: ''Prūsa'' or ''Prūsija'' was a German state on the southeast coast of the Baltic Sea. It formed the German Empire under Prussian rule when it united the German states in 1871. It was ''de facto'' dissolved by an emergency decree transferring powers of the Prussian government to German Chancellor Franz von Papen in 1932 and ''de jure'' by an Allied decree in 1947. For centuries, the House of Hohenzollern ruled Prussia, expanding its size with the Prussian Army. Prussia, with its capital at Königsberg and then, when it became the Kingdom of Prussia in 1701, Berlin, decisively shaped the history of Germany. In 1871, Prussian Minister-President Otto von Bismarck united most German principalities into the German Empire under his leadership, although this was considered to be a "Lesser Germany" because Austria and Switzerland were not included. In November 1918, the monarchies were abolished and the nobility lost its political power during the Ger ...
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Minister (Christianity)
In Christianity, a minister is a person authorised by a church body, church or other religious organization to perform functions such as teaching of beliefs; leading services such as weddings, baptisms or funerals; or otherwise providing spiritual guidance to the community. The term is taken from Latin ''minister'' ("servant", "attendant"). In some church traditions the term is usually used for people who have ordained, but in other traditions it can also be used for non-ordained people who have a pastoral or liturgical ministry. In Catholic, Orthodox (Eastern Orthodox, Eastern and Oriental Orthodox, Oriental), Anglican and Lutheran churches, the concept of a priesthood is emphasized. In other denominations such as Baptist, Methodist and Calvinist churches (Congregationalist and Presbyterian), the term "minister" usually refers to a member of the ordination, ordained clergy who leads a congregation or participates in a role in a parachurch ministry; such a person may serve as ...
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Ordination
Ordination is the process by which individuals are Consecration, consecrated, that is, set apart and elevated from the laity class to the clergy, who are thus then authorization, authorized (usually by the religious denomination, denominational hierarchy composed of other clergy) to perform various religious Ritual, rites and ceremonies. The process and ceremonies of ordination vary by religion and Religious denomination, denomination. One who is in preparation for, or who is undergoing the process of ordination is sometimes called an ordinand. The liturgy used at an ordination is sometimes referred to as an ordination. Christianity Roman Catholic, Orthodox, Lutheran and Anglican churches In Roman Catholicism and Orthodoxy, ordination is one of the seven sacraments, variously called holy orders or ''Christian laying on of hands, cheirotonia'' ("Laying on of Hands"). Apostolic succession is considered an essential and necessary concept for ordination in the Catholic, Orthodo ...
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Physicist
A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate causes of phenomena, and usually frame their understanding in mathematical terms. Physicists work across a wide range of research fields, spanning all length scales: from sub-atomic and particle physics, through biological physics, to cosmological length scales encompassing the universe as a whole. The field generally includes two types of physicists: experimental physicists who specialize in the observation of natural phenomena and the development and analysis of experiments, and theoretical physicists who specialize in mathematical modeling of physical systems to rationalize, explain and predict natural phenomena. Physicists can apply their knowledge towards solving practical problems or to developing new technologies (also known as applie ...
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