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Caspar Isenkrahe
Mathias Caspar Hubert Isenkrahe (12 May 1844, in Titz, Müntz, Rhine Province – 12 August 1921, in Trier) was a German mathematician, physicist and Catholic Philosophy of nature, philosopher of nature. Life Isenkrahe's father died before Caspar's birth. Isenkrahe visited in 1856 the Progymnasium in Jülich, in 1857 the Dreikönigsgymnasium, Marzellengymnasium in Cologne and from 1858 to 1863 the Realprogymnasium in Bonn. In 1868 he studied at the University of Bonn where he chose the subjects mathematics, physics, chemistry, mineralogy, botany, zoology, philosophy, Latin and German. On 31 July 1866 he made his PhD with an award-winning work about the anatomy of Helicina titanica, a species of snail. He became a teaching authority as a senior primary school teacher (pro facultate docendi) on 26 February 1869 for his chosen courses. After a probationary year 1869–1870 at the high school of Bonn, he worked at the high school of Krefeld (at least to 1878) and then at the Realpr ...
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Caspar Isenkrahe
Mathias Caspar Hubert Isenkrahe (12 May 1844, in Titz, Müntz, Rhine Province – 12 August 1921, in Trier) was a German mathematician, physicist and Catholic Philosophy of nature, philosopher of nature. Life Isenkrahe's father died before Caspar's birth. Isenkrahe visited in 1856 the Progymnasium in Jülich, in 1857 the Dreikönigsgymnasium, Marzellengymnasium in Cologne and from 1858 to 1863 the Realprogymnasium in Bonn. In 1868 he studied at the University of Bonn where he chose the subjects mathematics, physics, chemistry, mineralogy, botany, zoology, philosophy, Latin and German. On 31 July 1866 he made his PhD with an award-winning work about the anatomy of Helicina titanica, a species of snail. He became a teaching authority as a senior primary school teacher (pro facultate docendi) on 26 February 1869 for his chosen courses. After a probationary year 1869–1870 at the high school of Bonn, he worked at the high school of Krefeld (at least to 1878) and then at the Realpr ...
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Botany
Botany, also called , plant biology or phytology, is the science of plant life and a branch of biology. A botanist, plant scientist or phytologist is a scientist who specialises in this field. The term "botany" comes from the Ancient Greek word (''botanē'') meaning " pasture", " herbs" "grass", or " fodder"; is in turn derived from (), "to feed" or "to graze". Traditionally, botany has also included the study of fungi and algae by mycologists and phycologists respectively, with the study of these three groups of organisms remaining within the sphere of interest of the International Botanical Congress. Nowadays, botanists (in the strict sense) study approximately 410,000 species of land plants of which some 391,000 species are vascular plants (including approximately 369,000 species of flowering plants), and approximately 20,000 are bryophytes. Botany originated in prehistory as herbalism with the efforts of early humans to identify – and later cultivate – ed ...
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Mathematische Annalen
''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, Otto Blumenthal, Erich Hecke, Heinrich Behnke, Hans Grauert, Heinz Bauer, Herbert Amann, Jean-Pierre Bourguignon, Wolfgang Lück, and Nigel Hitchin. Currently, the managing editor of Mathematische Annalen is Thomas Schick. Volumes 1–80 (1869–1919) were published by Teubner. Since 1920 (vol. 81), the journal has been published by Springer. In the late 1920s, under the editorship of Hilbert, the journal became embroiled in controversy over the participation of L. E. J. Brouwer on its editorial board, a spillover from the foundational Brouwer–Hilbert controversy. Between 1945 and 1947 the journal briefly ceased publication. References External links''Mathematische Annalen''homepage at Springer''Mathematische Annalen''archive (1869†...
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Prime Numbers
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 Ã— 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ...
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Diocese
In Ecclesiastical polity, church governance, a diocese or bishopric is the ecclesiastical district under the jurisdiction of a bishop. History In the later organization of the Roman Empire, the increasingly subdivided Roman province, provinces were administratively associated in a larger unit, the Roman diocese, diocese (Latin ''dioecesis'', from the Greek language, Greek term διοίκησις, meaning "administration"). Christianity was given legal status in 313 with the Edict of Milan. Churches began to organize themselves into Roman diocese, dioceses based on the Roman diocese, civil dioceses, not on the larger regional imperial districts. These dioceses were often smaller than the Roman province, provinces. Christianity was declared the Empire's State church of the Roman Empire, official religion by Theodosius I in 380. Constantine the Great, Constantine I in 318 gave litigants the right to have court cases transferred from the civil courts to the bishops. This situ ...
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Philipp Lenard
Philipp Eduard Anton von Lenard (; hu, Lénárd Fülöp Eduárd Antal; 7 June 1862 – 20 May 1947) was a Hungarian-born German physicist and the winner of the Nobel Prize for Physics in 1905 for his work on cathode rays and the discovery of many of their properties. One of his most important contributions was the experimental realization of the photoelectric effect. He discovered that the energy (speed) of the electrons ejected from a cathode depends only on the wavelength, and not the intensity, of the incident light. Lenard was a nationalist and anti-Semite; as an active proponent of the Nazi ideology, he supported Adolf Hitler in the 1920s and was an important role model for the "Deutsche Physik" movement during the Nazi period. Notably, he labeled Albert Einstein's contributions to science as "Jewish physics". Early life and work Philipp Lenard was born in Pressburg (''Pozsony'', today's Bratislava), on 7 June 1862 in the Kingdom of Hungary. The Lenard family had origina ...
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Felix Klein
Christian Felix Klein (; 25 April 1849 â€“ 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory. His 1872 Erlangen program, classifying geometries by their basic symmetry groups, was an influential synthesis of much of the mathematics of the time. Life Felix Klein was born on 25 April 1849 in Düsseldorf, to Prussian parents. His father, Caspar Klein (1809–1889), was a Prussian government official's secretary stationed in the Rhine Province. His mother was Sophie Elise Klein (1819–1890, née Kayser). He attended the Gymnasium in Düsseldorf, then studied mathematics and physics at the University of Bonn, 1865–1866, intending to become a physicist. At that time, Julius Plücker had Bonn's professorship of mathematics and experimental physics, but by the time Klein became his assistant, in 1866, Plücker's interest wa ...
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Heinrich Hertz
Heinrich Rudolf Hertz ( ; ; 22 February 1857 â€“ 1 January 1894) was a German physicist who first conclusively proved the existence of the electromagnetic waves predicted by James Clerk Maxwell's Maxwell's equations, equations of electromagnetism. The unit of frequency, cycle per second, was named the "hertz" in his honor.IEC History
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Biography

Heinrich Rudolf Hertz was born in 1857 in Hamburg, then a sovereign state of the German Confederation, into a prosperous and cultured Hanseatic (class), Hanseatic family. His father was Gustav Ferdinand Hertz. His mother was Anna Elisabeth Pfefferkorn. While studying at the Gelehrtenschule des Johanneums in Hamburg, Hertz showed an aptitude for sciences as well as languages, learning Arabic. He studied sciences and engineering in th ...
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Hermann Von Helmholtz
Hermann Ludwig Ferdinand von Helmholtz (31 August 1821 – 8 September 1894) was a German physicist and physician who made significant contributions in several scientific fields, particularly hydrodynamic stability. The Helmholtz Association, the largest German association of research institutions, is named in his honor. In the fields of physiology and psychology, Helmholtz is known for his mathematics concerning the eye, theories of vision, ideas on the visual perception of space, color vision research, the sensation of tone, perceptions of sound, and empiricism in the physiology of perception. In physics, he is known for his theories on the conservation of energy, work in electrodynamics, chemical thermodynamics, and on a mechanical foundation of thermodynamics. As a philosopher, he is known for his philosophy of science, ideas on the relation between the laws of perception and the laws of nature, the science of aesthetics, and ideas on the civilizing power of science. ...
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Braunschweig
Braunschweig () or Brunswick ( , from Low German ''Brunswiek'' , Braunschweig dialect: ''Bronswiek'') is a city in Lower Saxony, Germany, north of the Harz Mountains at the farthest navigable point of the river Oker, which connects it to the North Sea via the rivers Aller and Weser. In 2016, it had a population of 250,704. A powerful and influential centre of commerce in medieval Germany, Brunswick was a member of the Hanseatic League from the 13th until the 17th century. It was the capital city of three successive states: the Principality of Brunswick-Wolfenbüttel (1269–1432, 1754–1807, and 1813–1814), the Duchy of Brunswick (1814–1918), and the Free State of Brunswick (1918–1946). Today, Brunswick is the second-largest city in Lower Saxony and a major centre of scientific research and development. History Foundation and early history The date and circumstances of the town's foundation are unknown. Tradition maintains that Brunswick was created through the merge ...
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Krefeld
Krefeld ( , ; li, Krieëvel ), also spelled Crefeld until 1925 (though the spelling was still being used in British papers throughout the Second World War), is a city in North Rhine-Westphalia, Germany. It is located northwest of Düsseldorf, its center lying just a few kilometers to the west of the river Rhine; the borough of Uerdingen is situated directly on the Rhine. Because of its economic past, Krefeld is often referred to as the "Velvet and Silk City". It is accessed by the autobahns A57 (Cologne– Nijmegen) and A44 (Aachen–Düsseldorf– Dortmund–Kassel). Krefeld's residents now speak ', or standard German, but the native dialect is a Low Franconian variety, sometimes locally called ', ', ', or sometimes simply '. The Uerdingen line isogloss, separating general dialectical areas in Germany and neighboring Germanic-speaking countries, runs through and is named after Krefeld's Uerdingen district, originally an independent municipality. History Early history Records ...
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Snail
A snail is, in loose terms, a shelled gastropod. The name is most often applied to land snails, terrestrial pulmonate gastropod molluscs. However, the common name ''snail'' is also used for most of the members of the molluscan class Gastropoda that have a coiled shell that is large enough for the animal to retract completely into. When the word "snail" is used in this most general sense, it includes not just land snails but also numerous species of sea snails and freshwater snails. Gastropods that naturally lack a shell, or have only an internal shell, are mostly called '' slugs'', and land snails that have only a very small shell (that they cannot retract into) are often called ''semi-slugs''. Snails have considerable human relevance, including as food items, as pests, and as vectors of disease, and their shells are used as decorative objects and are incorporated into jewelry. The snail has also had some cultural significance, tending to be associated with lethargy. The sn ...
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