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1897 In Science
The year 1897 in science and technology involved some significant events, listed below. Chemistry * April 30 – J. J. Thomson first describes his discovery of the electron, in England. Earth sciences * June 12 – 1897 Assam earthquake of magnitude of 8.0 rocks Assam, India, killing over 1,500 people. History of science and technology * Adolf Erik Nordenskiöld publishes ''Periplus: An Essay on the Early History of Charts and Sailing Directions'' in Stockholm. * Boulton and Watt's Smethwick Engine of 1779 (superseded 1892) is dismantled for preservation by the Birmingham Canal Navigations company, initially at its Ocker Hill depot in the West Midlands of England. Mathematics * David Hilbert unifies the field of algebraic number theory with his treatise ''Zahlbericht''. * John Edward Campbell originates the Baker–Campbell–Hausdorff formula for multiplication of exponentials in Lie algebras. * Raoul Bricard investigates and classifies flexible polyhedra, defining the Br ...
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Science
Science is a systematic endeavor that builds and organizes knowledge in the form of testable explanations and predictions about the universe. Science may be as old as the human species, and some of the earliest archeological evidence for scientific reasoning is tens of thousands of years old. The earliest written records in the history of science come from Ancient Egypt and Mesopotamia in around 3000 to 1200 BCE. Their contributions to mathematics, astronomy, and medicine entered and shaped Greek natural philosophy of classical antiquity, whereby formal attempts were made to provide explanations of events in the physical world based on natural causes. After the fall of the Western Roman Empire, knowledge of Greek conceptions of the world deteriorated in Western Europe during the early centuries (400 to 1000 CE) of the Middle Ages, but was preserved in the Muslim world during the Islamic Golden Age and later by the efforts of Byzantine Greek scholars who brought Greek ...
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Zahlbericht
In mathematics, the ''Zahlbericht'' (number report) was a report on algebraic number theory by . History In 1893 the German mathematical society invited Hilbert and Minkowski to write reports on the theory of numbers. They agreed that Minkowski would cover the more elementary parts of number theory while Hilbert would cover algebraic number theory. Minkowski eventually abandoned his report, while Hilbert's report was published in 1897. It was reprinted in volume 1 of his collected works, and republished in an English translation in 1998. and and the English introduction to give detailed discussions of the history and influence of Hilbert's ''Zahlbericht''. Some earlier reports on number theory include the report by H. J. S. Smith in 6 parts between 1859 and 1865, reprinted in , and the report by . wrote an update of Hilbert's ''Zahlbericht'' that covered class field theory (republished in 1 volume as ). Contents Part 1 covers the theory of general number fields, including i ...
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John Jacob Abel
John Jacob Abel (19 May 1857 – 26 May 1938) was an American biochemist and pharmacologist. He established the pharmacology department at Johns Hopkins University School of Medicine in 1893, and then became America's first full-time professor of pharmacology. During his time at Hopkins, he made several important medical advancements, especially in the field of hormone extraction. In addition to his laboratory work, he founded several significant scientific journals such as the ''Journal of Biological Chemistry'' and the '' Journal of Pharmacology and Experimental Therapeutics''. Early life and education John Jacob Abel was born in 1857 to George M. and Mary (Becker) Abel near Cleveland, Ohio. He earned his Ph.B. (Bachelor of Philosophy) from the University of Michigan where he studied under Henry Sewall in 1883. But, during this time he took several years off to serve as a principal of the high school in La Porte, Indiana. There he taught many subjects ranging from chemistry an ...
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Mathematical Association
The Mathematical Association is a professional society concerned with mathematics education in the UK. History It was founded in 1871 as the Association for the Improvement of Geometrical Teaching and renamed to the Mathematical Association in 1894. It was the first teachers' subject organisation formed in England. In March 1927, it held a three-day meeting in Grantham to commemorate the bicentenary of the death of Sir Isaac Newton, attended by Sir J. J. Thomson (discoverer of the electron), Sir Frank Watson Dyson – the Astronomer Royal, Sir Horace Lamb, and G. H. Hardy. In 1951, Mary Cartwright became the first female president of the Mathematical Association. In the 1960s, when comprehensive education was being introduced, the Association was in favour of the 11-plus system. For maths teachers training at university, a teaching award that was examined was the Diploma of the Mathematical Association, later known as the Diploma in Mathematical Education of the Mathematical A ...
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Bar-le-Duc
Bar-le-Duc (), formerly known as Bar, is a commune in the Meuse département, of which it is the capital. The department is in Grand Est in northeastern France. The lower, more modern and busier part of the town extends along a narrow valley, shut in by wooded or vine-clad hills, and is traversed throughout its length by the Ornain, which is crossed by several bridges. It is limited towards the north-east by the Marne–Rhine Canal, on the south-west by a small arm of the Ornain, called the ''Canal des Usines'', on the left bank of which the upper town (''Ville Haute'') is situated. The highly rarefied Bar-le-duc jelly, also known as Lorraine jelly, is a spreadable preparation of white currant or red currant fruit preserves, hailing from this town. First referenced in the historical record in 1344, it is also colloquially referred to as "Bar caviar". History Bar-le-Duc was at one time the seat of the county, from 1354 the Duchy of Bar. Though probably of ancient origin, the ...
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Curve
In mathematics, a curve (also called a curved line in older texts) is an object similar to a line (geometry), line, but that does not have to be Linearity, straight. Intuitively, a curve may be thought of as the trace left by a moving point (geometry), point. This is the definition that appeared more than 2000 years ago in Euclid's Elements, Euclid's ''Elements'': "The [curved] line is […] the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which […] will leave from its imaginary moving some vestige in length, exempt of any width." This definition of a curve has been formalized in modern mathematics as: ''A curve is the image (mathematics), image of an interval (mathematics), interval to a topological space by a continuous function''. In some contexts, the function that defines the curve is called a ''parametrization'', and the curve is a parametric curve. In this artic ...
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Henri Brocard
Pierre René Jean Baptiste Henri Brocard (12 May 1845 – 16 January 1922) was a French meteorologist and mathematician, in particular a geometer. His best-known achievement is the invention and discovery of the properties of the Brocard points, the Brocard circle, and the Brocard triangle, all bearing his name. Contemporary mathematician Nathan Court wrote that he, along with Émile Lemoine and Joseph Neuberg, was one of the three co-founders of modern triangle geometry. He is listed as an Emeritus at the International Academy of Science, was awarded the Ordre des Palmes Académiques, and was an officer of the Légion d'honneur. He spent most of his life studying meteorology as an officer in the French Navy, but seems to have made no notable original contributions to the subject. Biography Early years Pierre René Jean Baptiste Henri Brocard was born on 12 May 1845, in Vignot (a part of Commercy), Meuse to Elizabeth Auguste Liouville and Jean Sebastien Brocard. He attende ...
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Journal De Mathématiques Pures Et Appliquées
The ''Journal de Mathématiques Pures et Appliquées'' () is a French monthly scientific journal of mathematics, founded in 1836 by Joseph Liouville (editor: 1836–1874). The journal was originally published by Charles Louis Étienne Bachelier. After Bachelier's death in 1853, publishing passed to his son-in-law, Louis Alexandre Joseph Mallet, and the journal was marked Mallet-Bachelier. The publisher was sold to Gauthier-Villars (:fr:Gauthier-Villars) in 1863, where it remained for many decades. The journal is currently published by Elsevier. According to the 2018 Journal Citation Reports, its impact factor is 2.464. Articles are written in English language, English or French language, French. References External links * Online access* http://sites.mathdoc.fr/JMPA/ Index of freely available volumes Up to 1945, volumes of Journal de Mathématiques Pures et Appliquées are available online free in their entirety from Internet Archive or Bibliothèque nationale de France. Re ...
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Bricard Octahedron
In geometry, a Bricard octahedron is a member of a family of flexible polyhedra constructed by Raoul Bricard in 1897. The overall shape of one of these polyhedron may change in a continuous motion, without any changes to the lengths of its edges nor to the shapes of its faces. These octahedra were the first flexible polyhedra to be discovered.. The Bricard octahedra have six vertices, twelve edges, and eight triangular faces, connected in the same way as a regular octahedron. Unlike the regular octahedron, the Bricard octahedra are all non-convex self-crossing polyhedra. By Cauchy's rigidity theorem, a flexible polyhedron must be non-convex, but there exist other flexible polyhedra without self-crossings. Avoiding self-crossings requires more vertices (at least nine) than the six vertices of the Bricard octahedra.. In his publication describing these octahedra, Bricard completely classified the flexible octahedra. His work in this area was later the subject of lectures by Henri ...
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Flexible Polyhedra
In geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape can be continuously changed while keeping the shapes of all of its faces unchanged. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also true in higher dimensions). The first examples of flexible polyhedra, now called Bricard octahedra, were discovered by . They are self-intersecting surfaces isometric to an octahedron. The first example of a flexible non-self-intersecting surface in \mathbb^3, the Connelly sphere, was discovered by . Steffen's polyhedron is another non-self-intersecting flexible polyhedron derived from Bricard's octahedra. Bellows conjecture In the late 1970s Connelly and D. Sullivan formulated the bellows conjecture stating that the volume of a flexible polyhedron is invariant under flexing. This conjecture was proved for polyhedra homeomorphic to a sphere by using elimination theory, and then pro ...
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Raoul Bricard
Raoul Bricard (23 March 1870 – 26 November 1943) was a French engineer and a mathematician. He is best known for his work in geometry, especially descriptive geometry and scissors congruence, and kinematics, especially mechanical linkages. Biography Bricard taught geometry at Ecole Centrale des Arts et Manufactures. In 1908 he became a professor of applied geometry at the National Conservatory of Arts and Crafts in Paris. In 1932 he received the Poncelet Prize in mathematics from the Paris Academy of Sciences for his work in geometry. Work In 1896 Bricard published a paper on Hilbert's third problem, even before the problem was stated by Hilbert. In it he proved that mirror symmetric polytopes are scissors congruent, and proved a weak version of Dehn's criterion. In 1897 Bricard published an important investigation on flexible polyhedra. In it he classified all flexible octahedra, now known as Bricard octahedra. This work was the subject of Henri Lebesgue's lectu ...
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Proceedings Of The London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57†...
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