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Roland Weitzenböck
Roland Weitzenböck (26 May 1885 – 24 July 1955) was an Austrian mathematician working on differential geometry who introduced the Weitzenböck connection. He was appointed professor of mathematics at the University of Amsterdam in 1923 at the initiative of Brouwer, after Hermann Weyl had turned down Brouwer’s offer. Biography Roland Weitzenböck was born in Kremsmünster, Austria-Hungary. He studied from 1902 to 1904 at the Imperial and Royal Technical Military Academy (now HTL Vienna) and was a captain in the Austrian army. He then studied at the University of Vienna, where he graduated in 1910 with the dissertation ''Zum System von 3 Strahlenkomplexen im 4-dimensionalen Raum'' (The system of 3-rays complexes in 4-dimensional space). After further studies at Bonn and Göttingen, he became professor at the University of Graz in 1912. After Army service in World War I, he became Professor of Mathematics at the Karl-Ferdinand University in Prague in 1918. In 1923 Weitzenböck ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diederik Korteweg
Diederik Johannes Korteweg (31 March 1848 – 10 May 1941) was a Dutch mathematician. He is now best remembered for his work on the Korteweg–de Vries equation, together with Gustav de Vries. Early life and education Diederik Korteweg's father was a judge in 's-Hertogenbosch, Netherlands. Korteweg received his schooling there, studying at a special academy which prepared students for a military career. However, he decided against a military career and, making the first of his changes of direction, he began his studies at the Polytechnical School of Delft. Korteweg originally intended to become an engineer but, although he maintained an interest in mechanics and other applications of mathematics throughout his life, his love of mathematics made him change direction for the second time when he was not enjoying the technical courses at Delft. He decided to terminate his course and pull out of his studies so that he could concentrate on mathematics. He then enrolled in mathematics an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Göttingen
Göttingen (, , ; nds, Chöttingen) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. At the end of 2019, the population was 118,911. General information The origins of Göttingen lay in a village called ''Gutingi, ''first mentioned in a document in 953 AD. The city was founded northwest of this village, between 1150 and 1200 AD, and adopted its name. In Middle Ages, medieval times the city was a member of the Hanseatic League and hence a wealthy town. Today, Göttingen is famous for its old university (''Georgia Augusta'', or University of Göttingen, "Georg-August-Universität"), which was founded in 1734 (first classes in 1737) and became the most visited university of Europe. In 1837, seven professors protested against the absolute sovereignty of the House of Hanover, kings of Kingdom of Hanover, Hanover; they lost their positions, but be ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Teleparallelism
Teleparallelism (also called teleparallel gravity), was an attempt by Albert Einstein to base a unified theory of electromagnetism and gravity on the mathematical structure of distant parallelism, also referred to as absolute or teleparallelism. In this theory, a spacetime is characterized by a curvature-free linear connection in conjunction with a metric tensor field, both defined in terms of a dynamical tetrad field. Teleparallel spacetimes The crucial new idea, for Einstein, was the introduction of a tetrad field, i.e., a set of four vector fields defined on ''all'' of such that for every the set is a basis of , where denotes the fiber over of the tangent vector bundle . Hence, the four-dimensional spacetime manifold must be a parallelizable manifold. The tetrad field was introduced to allow the distant comparison of the direction of tangent vectors at different points of the manifold, hence the name distant parallelism. His attempt failed because there was no Schwarzs ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Torsion Tensor
In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet–Serret formulas, for instance, quantifies the twist of a curve about its tangent vector as the curve evolves (or rather the rotation of the Frenet–Serret frame about the tangent vector). In the geometry of surfaces, the ''geodesic torsion'' describes how a surface twists about a curve on the surface. The companion notion of curvature measures how moving frames "roll" along a curve "without twisting". More generally, on a differentiable manifold equipped with an affine connection (that is, a connection in the tangent bundle), torsion and curvature form the two fundamental invariants of the connection. In this context, torsion gives an intrinsic characterization of how tangent spaces twist about a curve when they are parallel transported; whereas curvature describes how the tangent spaces roll al ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Acrostic
An acrostic is a poem or other word composition in which the ''first'' letter (or syllable, or word) of each new line (or paragraph, or other recurring feature in the text) spells out a word, message or the alphabet. The term comes from the French from post-classical Latin , from Koine Greek , from Ancient Greek "highest, topmost" and "verse". As a form of constrained writing, an acrostic can be used as a mnemonic device to aid memory retrieval. When the ''last'' letter of each new line (or other recurring feature) forms a word it is called a telestich; the combination of an acrostic and a telestich in the same composition is called a double acrostic (e.g. the first-century Latin Sator Square). Acrostics are common in medieval literature, where they usually serve to highlight the name of the poet or his patron, or to make a prayer to a saint. They are most frequent in verse works but can also appear in prose. The Middle High German poet Rudolf von Ems for example opens all h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Preface
__NOTOC__ A preface () or proem () is an introduction to a book or other literary work written by the work's author. An introductory essay written by a different person is a '' foreword'' and precedes an author's preface. The preface often closes with acknowledgments of those who assisted in the literary work. It often covers the story of how the book came into being, or how the idea for the book was developed; this may be followed by thanks and acknowledgments to people who were helpful to the author during the time of writing. A preface is often signed (and the date and place of writing often follow the typeset signature); a foreword by another person is always signed. Information essential to the main text is generally placed in a set of explanatory notes, or perhaps in an "Introduction" that may be paginated with Arabic numerals, rather than in the preface. The term ''preface'' can also mean any preliminary or introductory statement. It is sometimes abbreviated ''pref''. Pre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tensor Calculus
In mathematics, tensor calculus, tensor analysis, or Ricci calculus is an extension of vector calculus to tensor fields (tensors that may vary over a manifold, e.g. in spacetime). Developed by Gregorio Ricci-Curbastro and his student Tullio Levi-Civita, it was used by Albert Einstein to develop his General relativity, general theory of relativity. Unlike the infinitesimal calculus, tensor calculus allows presentation of physics equations in a Manifest covariance, form that is independent of the coordinate chart, choice of coordinates on the manifold. Tensor calculus has many applications in physics, engineering and computer science including Elasticity (physics), elasticity, continuum mechanics, electromagnetism (see mathematical descriptions of the electromagnetic field), general relativity (see mathematics of general relativity), quantum field theory, and machine learning. Working with a main proponent of the exterior calculus Elie Cartan, the influential geometer Shiing-Shen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manifold
In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a neighborhood that is homeomorphic to an open subset of n-dimensional Euclidean space. One-dimensional manifolds include lines and circles, but not lemniscates. Two-dimensional manifolds are also called surfaces. Examples include the plane, the sphere, and the torus, and also the Klein bottle and real projective plane. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows complicated structures to be described in terms of well-understood topological properties of simpler spaces. Manifolds naturally arise as solution sets of systems of equations and as graphs of functions. The concept has applications in computer-graphics given the need to associate pictures with coordinates (e.g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monograph
A monograph is a specialist work of writing (in contrast to reference works) or exhibition on a single subject or an aspect of a subject, often by a single author or artist, and usually on a scholarly subject. In library cataloging, ''monograph'' has a broader meaning—that of a nonserial publication complete in one volume (book) or a definite number of volumes. Thus it differs from a serial or periodical publication such as a magazine, academic journal, or newspaper. In this context only, books such as novels are considered monographs.__FORCETOC__ Academia The English term "monograph" is derived from modern Latin "monographia", which has its root in Greek. In the English word, "mono-" means "single" and "-graph" means "something written". Unlike a textbook, which surveys the state of knowledge in a field, the main purpose of a monograph is to present primary research and original scholarship ascertaining reliable credibility to the required recipient. This research is prese ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Socialist Movement In The Netherlands
The National Socialist Movement in the Netherlands ( nl, Nationaal-Socialistische Beweging in Nederland, ; NSB) was a Dutch fascist and later Nazi political party that called itself a " movement". As a parliamentary party participating in legislative elections, the NSB had some success during the 1930s. Under German occupation, it remained the only legal party in the Netherlands during most of the Second World War. Party history 1931–1940 The NSB was founded in Utrecht in 1931 during a period when several nationalist, fascist and Nazi parties were founded. The founders were Anton Mussert, who became the party's leader, and Cornelis van Geelkerken. The party based its program on Italian fascism and German Nazism: however, unlike the latter, before 1936 the party was not anti-semitic and even had Jewish members. In 1933, after a year of building an organization, the party organized its first public meeting, a '' Landdag'' in Utrecht which was attended by 600 party militants. He ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences ( nl, Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory and administrative functions it operates a number of research institutes and awards many prizes, including the Lorentz Medal in theoretical physics, the Dr Hendrik Muller Prize for Behavioural and Social Science and the Heineken Prizes. Main functions The academy advises the Dutch government on scientific matters. While its advice often pertains to genuine scientific concerns, it also counsels the government on such topics as policy on careers for researchers or the Netherlands' contribution to major international projects. The academy offers solicited and unsolicited advice to parliament, ministries, universities and research institutes, funding agencies and internationa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Revanchist
Revanchism (french: revanchisme, from ''revanche'', "revenge") is the political manifestation of the will to reverse territorial losses incurred by a country, often following a war or social movement. As a term, revanchism originated in 1870s France in the aftermath of the Franco-Prussian War among nationalists who wanted to avenge the French defeat and reclaim the lost territories of Alsace-Lorraine. Revanchism draws its strength from patriotic and retributionist thought and is often motivated by economic or geopolitical factors. Extreme revanchist ideologues often represent a hawkish stance, suggesting that their desired objectives can be achieved through the positive outcome of another war. It is linked with irredentism, the conception that a part of the cultural and ethnic nation remains "unredeemed" outside the borders of its appropriate nation-state. Revanchist politics often rely on the identification of a nation with a nation state, mobilizing sentiments of ethnic nat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
