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Andreas Dress
Andreas Dress (born 26 August 1938) is a German mathematician specializing in geometry, combinatorics and mathematical biology. Dress earned his PhD from the University of Kiel in 1962, under the supervision of Friedrich Bachmann and Karl-Heinrich Weise. His thesis is entitled ''Konstruktion metrischer Ebenen''. He has been a professor of mathematics at the University of Bielefeld since 1969. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin. See also *Split networks *SplitsTree *T-theory *Tight span In metric geometry, the metric envelope or tight span of a metric space ''M'' is an injective metric space into which ''M'' can be embedded. In some sense it consists of all points "between" the points of ''M'', analogous to the convex hull of a po ... References Living people 1938 births 20th-century German mathematicians University of Kiel alumni Academic staff of Bielefeld University {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constituent states, Berlin is surrounded by the State of Brandenburg and contiguous with Potsdam, Brandenburg's capital. Berlin's urban area, which has a population of around 4.5 million, is the second most populous urban area in Germany after the Ruhr. The Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's third-largest metropolitan region after the Rhine-Ruhr and Rhine-Main regions. Berlin straddles the banks of the Spree, which flows into the Havel (a tributary of the Elbe) in the western borough of Spandau. Among the city's main topographical features are the many lakes in the western and southeastern boroughs formed by the Spree, Havel and Dahme, the largest of which is Lake Müggelsee. Due to its l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karl-Heinrich Weise
Karl Heinrich Weise (24 May 1909, Gera – 15 April 1990, Kiel) was a German mathematician. In 1956 he was the president of the German Mathematical Society (''Deutsche-Mathematiker Vereinigung'', DMV). Biography Karl-Heinrich Weise, the son of a middle school teacher, studied mathematics, astronomy, and physics from 1928 to 1930 at Leipzig University. In 1930 he matriculated at the University of Jena, where he received his doctorate in mathematics in 1934. His doctoral dissertation, supervised by Robert König, is entitled ''Beiträge zum Klassenproblem der quadratischen Differentialformen'' (Contributions to the class problem of quadratic differential forms) and was published in 1935 in ''Mathematische Annalen''. At the University of Jena, Weise was from 1935 to 1937 ''wissenschaftliche Assistent'' and from 1937 to 1942 ''Privatdozent''. His ''NSDAP-Mitgliedsnummer'' was 5663631. From 1940 to 1945 he held an appointment as ''wissenschaftlicher Mitarbeiter'' in Potsdam. At Kiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1938 Births
Events January * January 1 ** The Constitution of Estonia#Third Constitution (de facto 1938–1940, de jure 1938–1992), new constitution of Estonia enters into force, which many consider to be the ending of the Era of Silence and the authoritarian regime. ** state-owned enterprise, State-owned railway networks are created by merger, in France (SNCF) and the Netherlands (Nederlandse Spoorwegen – NS). * January 20 – King Farouk of Egypt marries Safinaz Zulficar, who becomes Farida of Egypt, Queen Farida, in Cairo. * January 27 – The Honeymoon Bridge (Niagara Falls), Honeymoon Bridge at Niagara Falls, New York, collapses as a result of an ice jam. February * February 4 ** Adolf Hitler abolishes the War Ministry and creates the Oberkommando der Wehrmacht (High Command of the Armed Forces), giving him direct control of the German military. In addition, he dismisses political and military leaders considered unsympathetic to his philosophy or policies. Gene ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tight Span
In metric geometry, the metric envelope or tight span of a metric space ''M'' is an injective metric space into which ''M'' can be embedded. In some sense it consists of all points "between" the points of ''M'', analogous to the convex hull of a point set in a Euclidean space. The tight span is also sometimes known as the injective envelope or hyperconvex hull of ''M''. It has also been called the injective hull, but should not be confused with the injective hull of a module in algebra, a concept with a similar description relative to the category of ''R''-modules rather than metric spaces. The tight span was first described by , and it was studied and applied by Holsztyński in the 1960s. It was later independently rediscovered by and ; see for this history. The tight span is one of the central constructions of T-theory. Definition The tight span of a metric space can be defined as follows. Let (''X'',''d'') be a metric space, and let ''T''(''X'') be the set of extremal functio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
T-theory
T-theory is a branch of discrete mathematics dealing with analysis of trees and discrete metric spaces. General history T-theory originated from a question raised by Manfred Eigen in the late 1970s. He was trying to fit twenty distinct t-RNA molecules of the ''Escherichia coli'' bacterium into a tree. An important concept of T-theory is the tight span of a metric space. If ''X'' is a metric space, the tight span ''T''(''X'') of ''X'' is, up to isomorphism, the unique minimal injective metric space that contains ''X''. John Isbell was the first to discover the tight span in 1964, which he called the injective envelope. Andreas Dress independently constructed the same construct, which he called the tight span. Application areas * Phylogenetic analysis, which is used to create phylogenetic trees. * Online algorithms - ''k''-server problem Recent developments * Bernd Sturmfels, Professor of Mathematics and Computer Science at Berkeley Berkeley most often refers to: *Berkeley, Cal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
SplitsTree
SplitsTree is a popular freeware program for inferring phylogenetic trees, phylogenetic networks, or, more generally, splits graphs, from various types of data such as a sequence alignment, a distance matrix or a set of trees. SplitsTree implements published methods such as split decomposition, neighbor-net, consensus networks, super networks methods or methods for computing hybridization or simple recombination networks. It uses the NEXUS file format. The splits graph is defined using a special data block (SPLITS block). See also *Phylogenetic tree viewers *Dendroscope Dendroscope is an interactive computer software program written in Java for viewing Phylogenetic trees. This program is designed to view trees of all sizes and is very useful for creating figures. Dendroscope can be used for a variety of analyse ... * MEGAN References External links SplitsTree homepage(New Website for informations about SplitsTree)for the latest version (4.15) and manual (June 201 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Split Networks
For a given set of taxa like X, and a set of splits S on X, usually together with a non-negative weighting, which may represent character changes distance, or may also have a more abstract interpretation, if the set of splits S is compatible, then it can be represented by an unrooted phylogenetic tree and each edge in the tree corresponds to exactly one of the splits. More generally, S can always be represented by a split network, which is an unrooted phylogenetic network A phylogenetic network is any graph used to visualize evolutionary relationships (either abstractly or explicitly) between nucleotide sequences, genes, chromosomes, genomes, or species. They are employed when reticulation events such as hybridi ... with the property that every split s in S is represented by an array of parallel edges in the network. A split network N can be obtained from a number of different types of data: *Split networks from distances *Split networks from trees *Split networks from sequence ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be renamed as the IMU Abacus Medal), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review ''CMS Notes'', vol 31, no. 3, April 1999 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Biology
Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development and behavior of the systems, as opposed to experimental biology which deals with the conduction of experiments to prove and validate the scientific theories. The field is sometimes called mathematical biology or biomathematics to stress the mathematical side, or theoretical biology to stress the biological side. Theoretical biology focuses more on the development of theoretical principles for biology while mathematical biology focuses on the use of mathematical tools to study biological systems, even though the two terms are sometimes interchanged. Mathematical biology aims at the mathematical representation and modeling of biological processes, using techniques and tools of applied mathematics. It can be useful in both theoretical and prac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
