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Johann Samuel König
Johann Samuel König (31 July 1712 – 21 August 1757) was a German mathematician. Biography Johann Bernoulli instructed both König and Pierre Louis Maupertuis as pupils during the same period. König is remembered largely for his disagreements with Leonhard Euler, concerning the principle of least action. He is also remembered as a tutor to Émilie du Châtelet, one of the few female physicists of the 18th century.''The Parsimonious Universe'' by Stefan Hildebrandt & Anthony Tromba, Springer-Verlag, 1996, p. 33 note 2. Gallery File:Acta Eruditorum - V geometria monete, 1735 – BEIC 13454660.jpg, Illustration about the article ''De nova quadam facili delineatu trajectoria...'' from ''Acta Eruditorum (from Latin: ''Acts of the Erudite'') was the first scientific journal of the German-speaking lands of Europe, published from 1682 to 1782. History ''Acta Eruditorum'' was founded in 1682 in Leipzig by Otto Mencke, who became its first editor, ...'', 1735 File:Acta Eruditorum ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Büdingen
Büdingen is a town in the Wetteraukreis, in Hesse, Germany. It is mainly known for its well-preserved, heavily fortified medieval town wall and half-timbered houses. Geography Location Büdingen is in the south of the Wetterau below the Vogelsberg hills at an altitude of approx. 160 meters. The city is situated 15 km northwest of Gelnhausen and about 40 km east from Frankfurt am Main. Historically, the city belongs to Oberhessen. Geology Büdingen is situated in a wet and swampy valley. The castle and the old town therefore rest on centuries-old oak planks, placed horizontally across vertical beech piles (poles). The water level has to be kept high enough so that no air can reach these foundations. Districts Since 1972, the municipality includes the following formerly independent villages: Aulendiebach, Büches, Büdingen (core or centre), Calbach, Diebach am Haag, Düdelsheim (the largest municipality), Dudenrod, Eckartshausen, Lorbach, Michelau, Orleshausen, Rinder ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Huis Zuylenstein
The Hui people ( zh, c=, p=Huízú, w=Hui2-tsu2, Xiao'erjing: , dng, Хуэйзў, ) are an East Asian ethnoreligious group predominantly composed of Chinese-speaking adherents of Islam. They are distributed throughout China, mainly in the northwestern provinces and in the Zhongyuan region. According to the 2011 census, China is home to approximately 10.5 million Hui people. The 110,000 Dungan people of Kazakhstan and Kyrgyzstan are also considered part of the Hui ethnicity. The Hui have a distinct connection with Islamic culture. For example, they follow Islamic dietary laws and reject the consumption of pork, the most commonly consumed meat in China, and have developed their own variation of Chinese cuisine. They also dress differently than the Han Chinese, some men wear white caps (taqiyah) and some women wear headscarves, as is the case in many Islamic cultures. The Hui people are one of 56 ethnic groups recognized by China. The government defines the Hui people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Amerongen
Amerongen () is a town in the municipality of Utrechtse Heuvelrug in the province of Utrecht, Netherlands, on the border of the Utrecht Hill Ridge. It lies about 7 km (4.3 mi) southwest of Veenendaal (10.5 km or 6.5 mi by road). The landscape rises from the flat water meadows of the Nederrijn (Lower Rhine) to the Utrecht Hill Ridge ("Utrechtse Heuvelrug"). The highest point in the western Netherlands is located 2 km east of the village. The Amerongense Berg (Amerongen Mountain) has a height of 69 metres above sea level. History The history of Amerongen is closely related to that of Amerongen Castle. This castle was first established in 1286 as a wooden donjon but was rebuilt in stone. It was damaged or destroyed by fire and rebuilt several times during the following centuries. In 1672 the Netherlands were invaded by the French army and in early 1673, the castle was deliberately burned down as a punishment for non-payment of taxes levied by the French. Shortly a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
König's Theorem (kinetics)
In kinetics, König's theorem or König's decomposition is a mathematical relation derived by Johann Samuel König that assists with the calculations of angular momentum and kinetic energy of bodies and systems of particles. For a system of particles The theorem is divided in two parts. First part of König's theorem The first part expresses the angular momentum of a system as the sum of the angular momentum of the centre of mass and the angular momentum applied to the particles relative to the center of mass. \displaystyle \vec = \vec_ \times \sum\limits_ m_ \vec_ + \vec'= \vec_ + \vec' Proof Considering an inertial reference frame with origin O, the angular momentum of the system can be defined as: \vec = \sum\limits_ (\vec_ \times m_ \vec_ ) The position of a single particle can be expressed as: \vec_ = \vec_ + \vec'_ And so we can define the velocity of a single particle: \vec_ = \vec_ + \vec'_ The first equation becomes: :\vec = \sum\limits_ (\vec_ + \vec' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Johann Bernoulli
Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family. He is known for his contributions to infinitesimal calculus and educating Leonhard Euler in the pupil's youth. Biography Early life Johann was born in Basel, the son of Nicolaus Bernoulli, an apothecary, and his wife, Margarethe Schongauer, and began studying medicine at University of Basel. His father desired that he study business so that he might take over the family spice trade, but Johann Bernoulli did not like business and convinced his father to allow him to study medicine instead. Johann Bernoulli began studying mathematics on the side with his older brother Jacob Bernoulli. Throughout Johann Bernoulli's education at Basel University the Bernoulli brothers worked together spending much of their time studying the newly discovered infinitesimal calculus. They were among the first mathematicians to not only ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pierre Louis Maupertuis
Pierre Louis Moreau de Maupertuis (; ; 1698 – 27 July 1759) was a French mathematician, philosopher and man of letters. He became the Director of the Académie des Sciences, and the first President of the Prussian Academy of Science, at the invitation of Frederick the Great. Maupertuis made an expedition to Lapland (region), Lapland to determine the shape of the Earth. He is often credited with having invented the principle of least action; a version is known as Maupertuis's principle – an integral equation that determines the path followed by a physical system. His work in natural history is interesting in relation to modern science, since he touched on aspects of heredity and the struggle for life. Biography Maupertuis was born at Saint-Malo, France, to a moderately wealthy family of merchant-French corsairs, corsairs. His father, Renė, had been involved in a number of enterprises that were central to the monarchy so that he thrived socially and politically. The son w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leonhard Euler
Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in many other branches of mathematics such as analytic number theory, complex analysis, and infinitesimal calculus. He introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is also known for his work in mechanics, fluid dynamics, optics, astronomy and music theory. Euler is held to be one of the greatest mathematicians in history and the greatest of the 18th century. A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: "Read Euler, read Euler, he is the master of us all." Carl Friedrich Gauss remarked: "The study of Euler's works will remain the best school for the different fields of mathematics, and nothing else can replace it." Euler is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Principle Of Least Action
The stationary-action principle – also known as the principle of least action – is a variational principle that, when applied to the '' action'' of a mechanical system, yields the equations of motion for that system. The principle states that the trajectories (i.e. the solutions of the equations of motion) are ''stationary points'' of the system's ''action functional''. The term "least action" is a historical misnomer since the principle has no minimality requirement: the value of the action functional need not be minimal (even locally) on the trajectories. The principle can be used to derive Newtonian, Lagrangian and Hamiltonian equations of motion, and even general relativity (see Einstein–Hilbert action). In relativity, a different action must be minimized or maximized. The classical mechanics and electromagnetic expressions are a consequence of quantum mechanics. The stationary action method helped in the development of quantum mechanics. In 1933, the physicist Paul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Émilie Du Châtelet
Gabrielle Émilie Le Tonnelier de Breteuil, Marquise du Châtelet (; 17 December 1706 – 10 September 1749) was a French natural philosopher and mathematician from the early 1730s until her death due to complications during childbirth in 1749. Her most recognized achievement is her translation of and commentary on Isaac Newton's 1687 book '' Philosophiæ Naturalis Principia Mathematica'' containing basic laws of physics. The translation, published posthumously in 1756, is still considered the standard French translation. Her commentary includes a contribution to Newtonian mechanics—the postulate of an additional conservation law for total energy, of which kinetic energy of motion is one element. This led to her conceptualization of energy as such, and to derive its quantitative relationships to the mass and velocity of an object. Her philosophical magnum opus, ''Institutions de Physique'' (Paris, 1740, first edition; ''Foundations of Physics''), circulated widely, generated h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acta Eruditorum
(from Latin: ''Acts of the Erudite'') was the first scientific journal of the German-speaking lands of Europe, published from 1682 to 1782. History ''Acta Eruditorum'' was founded in 1682 in Leipzig by Otto Mencke, who became its first editor, with support from Gottfried Leibniz in Hanover, who contributed 13 articles over the journal's first four years. It was published by Johann Friedrich Gleditsch, with sponsorship from the Duke of Saxony, and was patterned after the French ''Journal des savants'' and the Italian ''Giornale de'letterati''. The journal was published monthly, entirely in Latin, and contained excerpts from new writings, reviews, small essays and notes. Most of the articles were devoted to the natural sciences and mathematics, including contributions (apart from Leibniz) from, e.g., Jakob Bernoulli, Humphry Ditton, Leonhard Euler, Ehrenfried Walther von Tschirnhaus, Pierre-Simon Laplace and Jérôme Lalande, but also from humanists and philosophers such as Veit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century German Mathematicians
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revolution, with an emphasis on directly interconnected events. To historians who expand ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
