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Hans Langmaack
Prof. Dr. Hans Langmaack (born 7 May 1934 at Hof Helle in the Steinburg district) is a Germany, German mathematician and computer scientist. Life Hans Langmaack attended the Bismarck School in Elmshorn, where he received a prize in natural sciences (the Ernst Hermann Koelln Prize, 1951) and, before graduating from high school in 1954, completed an analog computer for spherical trigonometry as a mathematical year's work. After an internship in mechanical engineering, he studied mathematics, physics, and logic at the University of Münster (and one semester in Freiburg) from the winter semester of 1954. In 1957, he passed the teaching examination, became a scholarship holder of the German Academic Scholarship Foundation, and received his doctorate in 1960 under Heinrich Behnke with a dissertation on analysis in several complex variables (construction of holomorphic hulls of unramified regions over \mathbb C^n). From 1960, Langmaack was an assistant to Klaus Samelson at the Universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steinburg
Steinburg () is a district in Schleswig-Holstein, Germany, administered from Itzehoe. It is bounded by (from the west and clockwise) the districts of Dithmarschen, Rendsburg-Eckernförde, Segeberg and Pinneberg, and by the Elbe River (and the district of Stade beyond). History The district's name is derived from a medieval castle called Steinburg, where the reeves ruled by order of their lords, the dukes of Holstein. This castle was first mentioned in 1307, and it was abandoned and demolished in 1630. However, Steinburg remained the name of the region, and its new centre became Glückstadt before gradually moving to the town of Itzehoe. When Schleswig-Holstein became a province of Prussia in 1867, the district of Steinburg was established. The borders remained unchanged until 1970 when the newly founded town Schenefeld (formerly part of Rendsburg district) joined Steinburg. Geography The district is situated on the northern bank of the Elbe river, close to its mouth. The c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steinburg District
Steinburg () is a district in Schleswig-Holstein, Germany, administered from Itzehoe. It is bounded by (from the west and clockwise) the districts of Dithmarschen, Rendsburg-Eckernförde, Segeberg and Pinneberg (district), Pinneberg, and by the Elbe River (and the district of Stade (district), Stade beyond). History The district's name is derived from a medieval castle called Steinburg, where the reeves ruled by order of their lords, the dukes of Holstein. This castle was first mentioned in 1307, and it was abandoned and demolished in 1630. However, Steinburg remained the name of the region, and its new centre became Glückstadt before gradually moving to the town of Itzehoe. When Schleswig-Holstein became a province of Prussia in 1867, the district of Steinburg was established. The borders remained unchanged until 1970 when the newly founded town Schenefeld (formerly part of Rendsburg-Eckernförde, Rendsburg district) joined Steinburg. Geography The district is situated on the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compiler
In computing, a compiler is a computer program that Translator (computing), translates computer code written in one programming language (the ''source'' language) into another language (the ''target'' language). The name "compiler" is primarily used for programs that translate source code from a high-level programming language to a lower level language, low-level programming language (e.g. assembly language, object code, or machine code) to create an executable program.Compilers: Principles, Techniques, and Tools by Alfred V. Aho, Ravi Sethi, Jeffrey D. Ullman - Second Edition, 2007 There are many different types of compilers which produce output in different useful forms. A ''cross-compiler'' produces code for a different Central processing unit, CPU or operating system than the one on which the cross-compiler itself runs. A ''bootstrap compiler'' is often a temporary compiler, used for compiling a more permanent or better optimised compiler for a language. Related software ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algol 60
ALGOL 60 (short for ''Algorithmic Language 1960'') is a member of the ALGOL family of computer programming languages. It followed on from ALGOL 58 which had introduced code blocks and the begin and end pairs for delimiting them, representing a key advance in the rise of structured programming. ALGOL 60 was one of the first languages implementing function definitions (that could be invoked recursively). ALGOL 60 function definitions could be nested within one another (which was first introduced by any programming language), with lexical scope. It gave rise to many other languages, including CPL, PL/I, Simula, BCPL, B, Pascal, and C. Practically every computer of the era had a systems programming language based on ALGOL 60 concepts. Niklaus Wirth based his own ALGOL W on ALGOL 60 before moving to develop Pascal. Algol-W was intended to be the next generation ALGOL but the ALGOL 68 committee decided on a design that was more complex and advanced rather than a cleaned ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Klaus Samelson
Klaus Samelson (21 December 1918 – 25 May 1980) was a German mathematician, physicist, and computer pioneer in the area of programming language translation and push-pop stack algorithms for sequential formula translation on computers. Early life He was born in Strasbourg, Alsace-Lorraine, and he lived in Breslau in his early childhood years. His elder brother was the mathematician Hans Samelson. Due to political circumstances, he waited until 1946 to study mathematics and physics at the Ludwig Maximilian University of Munich in Munich. Career After graduating, he worked briefly as a high school teacher before he returned to university. In 1951, he completed his Doctor of Philosophy (Ph.D.) in physics with Friedrich Bopp (Fritz) with a dissertation on a quantum mechanics problem posed by Arnold Sommerfeld related to unipolar induction. Samelson became interested in numerical analysis, and when Hans Piloty, an electrical engineer, and Robert Sauer, a professor of mathe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Holomorphic
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space . The existence of a complex derivative in a neighbourhood is a very strong condition: It implies that a holomorphic function is infinitely differentiable and locally equal to its own Taylor series (is '' analytic''). Holomorphic functions are the central objects of study in complex analysis. Though the term ''analytic function'' is often used interchangeably with "holomorphic function", the word "analytic" is defined in a broader sense to denote any function (real, complex, or of more general type) that can be written as a convergent power series in a neighbourhood of each point in its domain. That all holomorphic functions are complex analytic functions, and vice versa, is a major theorem in complex analysis. Holomorphic functions are also sometimes referred to as ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complex Variable
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, and applied mathematics, as well as in physics, including the branches of hydrodynamics, thermodynamics, quantum mechanics, and twistor theory. By extension, use of complex analysis also has applications in engineering fields such as nuclear, aerospace, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to the sum function given by its Taylor series (that is, it is analytic), complex analysis is particularly concerned with analytic functions of a complex variable, that is, ''holomorphic functions''. The concept can be extended to functions of several complex variables. Complex analysis is contrasted with real analysis, which deals wit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heinrich Behnke
Heinrich Adolph Louis Behnke (9 October 1898 in Horn – 10 October 1979 in Münster) was a German mathematician and rector at the University of Münster. Life and career He was born into a Lutheran family in Horn, a suburb of Hamburg. He attended the University of Göttingen and submitted his doctoral thesis to the University of Hamburg. He was noted for work on complex analysis with Henri Cartan and Peter Thullen. His first wife, Aenne Albersheim, was Jewish, but she died soon after the birth of their son. He was concerned about his son's ethnicity during the Nazi period. In 1936 he was elected a member of the ''Deutsche Akademie der Naturforscher Leopoldina''. Selected publications *with Peter Thullen: Theorie der Funktionen mehrerer komplexer Veränderlicher, Springer Verlag, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1934, 2nd edn. with collaboration by Reinhold Remmert 1970 *with Friedrich Sommer: Theorie der Funktionen einer komplexen Veränderlichen, Springe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Freiburg
Freiburg im Breisgau or simply Freiburg is the List of cities in Baden-Württemberg by population, fourth-largest city of the German state of Baden-Württemberg after Stuttgart, Mannheim and Karlsruhe. Its built-up area has a population of about 355,000 (2021), while the greater Freiburg metropolitan area ("Einzugsgebiet") has about 660,000 (2018). Freiburg is located at the southwestern foothills of the Black Forest, on the Dreisam River, a tributary of the Elz (Rhine), Elz. It is Germany's southwestern- and southernmost city with a population exceeding 100,000. It lies in the Breisgau, one of Germany's warmest regions, in the south of the Upper Rhine Plain. Its city limits reach from the Schauinsland summit () in the Black Forest to east of the French border, while Switzerland is to the south. The city is situated in the major Baden (wine region), wine-growing region of Baden and, together with Offenburg, serves as a tourist entry-point to the scenic Black Forest. According ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mechanical Engineering
Mechanical engineering is the study of physical machines and mechanism (engineering), mechanisms that may involve force and movement. It is an engineering branch that combines engineering physics and engineering mathematics, mathematics principles with materials science, to design, analyze, manufacture, and maintain mechanical systems. It is one of the oldest and broadest of the List of engineering branches, engineering branches. Mechanical engineering requires an understanding of core areas including mechanics, Analytical dynamics, dynamics, thermodynamics, materials science, design, structural analysis, and electricity. In addition to these core principles, mechanical engineers use tools such as computer-aided design (CAD), computer-aided manufacturing (CAM), computer-aided engineering (CAE), and product lifecycle management to design and analyze manufacturing plants, industrial equipment and industrial machinery, machinery, HVAC, heating and cooling systems, transport systems, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spherical Trigonometry
Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the edge (geometry), sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and navigation. The origins of spherical trigonometry in Greek mathematics and the major developments in Islamic mathematics are discussed fully in History of trigonometry and Mathematics in medieval Islam. The subject came to fruition in Early Modern times with important developments by John Napier, Jean Baptiste Joseph Delambre, Delambre and others, and attained an essentially complete form by the end of the nineteenth century with the publication of Todhunter's textbook ''Spherical trigonometry for the use of colleges and Schools''. Since then, significant developments have been the application of vector methods, quaternion m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analog Computer
An analog computer or analogue computer is a type of computation machine (computer) that uses physical phenomena such as Electrical network, electrical, Mechanics, mechanical, or Hydraulics, hydraulic quantities behaving according to the mathematical principles in question (''analog signals'') to Scientific modelling, model the problem being solved. In contrast, digital computers represent varying quantities symbolically and by discrete values of both time and amplitude (digital signals). Analog computers can have a very wide range of complexity. Slide rules and nomograms are the simplest, while naval gunfire control computers and large hybrid digital/analog computers were among the most complicated. Complex mechanisms for process control and protective relays used analog computation to perform control and protective functions. Analog computers were widely used in scientific and industrial applications even after the advent of digital computers, because at the time they were ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
