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Gerald Teschl
Gerald Teschl (born 12 May 1970 in Graz) is an Austrian mathematical physicist and professor of mathematics. He works in the area of mathematical physics; in particular direct and inverse spectral theory with application to completely integrable partial differential equations (soliton equations). Career After studying physics at the Graz University of Technology (diploma thesis 1993), he continued with a PhD in mathematics at the University of Missouri. The title of his thesis supervised by Fritz Gesztesy was ''Spectral Theory for Jacobi Operators'' (1995). After a postdoctoral position at the Rheinisch-Westfälischen Technische Hochschule Aachen (1996/97), he moved to Vienna, where he received his Habilitation at the University of Vienna in May 1998. Since then he has been a professor of mathematics there. In 1997 he received the Ludwig Boltzmann Prize from the Austrian Physical Society, 1999 the Prize of the Austrian Mathematical Society. In 2006 he was awarded with the pres ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graz
Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the population of the Graz larger urban zone (LUZ) stood at 652,654, based on principal-residence status. Graz is known as a college and university city, with four colleges and four universities. Combined, the city is home to more than 60,000 students. Its historic centre ('' Altstadt'') is one of the best-preserved city centres in Central Europe. In 1999, the city's historic centre was added to the UNESCO list of World Heritage Sites and in 2010 the designation was expanded to include Eggenberg Palace (german: Schloss Eggenberg) on the western edge of the city. Graz was designated the Cultural Capital of Europe in 2003 and became a City of Culinary Delights in 2008. Etymology The name of the city, Graz, formerly spelled Gratz, most likely stems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graz University Of Technology
Graz University of Technology (german: link=no, Technische Universität Graz, short ''TU Graz'') is one of five universities in Styria, Austria. It was founded in 1811 by Archduke John of Austria and is the oldest science and technology research and educational institute in Austria. It currently comprises seven faculties and is a public university. It offers 19 bachelors and 35 masters study programmes (of which 18 are in English) across all technology and natural science disciplines. Doctoral training is organised in 14 English-speaking doctoral schools. The university has more than 13,000 students, and approximately 2,000 students graduate every year. Science study programmes are offered in the framework of NAWI Graz together with the University of Graz. The university has a staff of 3,912. Research areas are combined in five fields of expertise. ''TU Graz'', the ''University of Leoben'' and ''TU Wien'' form the network ''Austrian Universities of Technology (TU Austria)'' wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Breath Gas Analysis
Breath gas analysis is a method for gaining information on the clinical state of an individual by monitoring volatile organic compounds (VOCs) present in the exhaled breath. Exhaled breath is naturally produced by the human body through expiration and therefore can be collected in non-invasively and in an unlimited way. VOCs in exhaled breath can represent biomarkers for certain pathologies (lung cancer, asthma, chronic obstructive pulmonary disease and others). Breath gas concentration can then be related to blood concentrations via mathematical modeling as for example in blood alcohol testing. There are various techniques that can be employed to collect and analyze exhaled breath. Research on exhaled breath started many years ago, there is currently limited clinical application of it for disease diagnosis. However, this might change in the near future as currently large implementation studies are starting globally. History It is known that since the times of Hippocrates, exhaled ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biomathematics
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] |
Toda Lattice
The Toda lattice, introduced by , is a simple model for a one-dimensional crystal in solid state physics. It is famous because it is one of the earliest examples of a non-linear completely integrable system. It is given by a chain of particles with nearest neighbor interaction, described by the Hamiltonian :\begin H(p,q) &= \sum_ \left(\frac +V(q(n+1,t)-q(n,t))\right) \end and the equations of motion :\begin \frac p(n,t) &= -\frac = e^ - e^, \\ \frac q(n,t) &= \frac = p(n,t), \end where q(n,t) is the displacement of the n-th particle from its equilibrium position, and p(n,t) is its momentum (mass m=1), and the Toda potential V(r)=e^+r-1. Soliton solutions Soliton solutions are solitary waves spreading in time with no change to their shape and size and interacting with each other in a particle-like way. The general N-soliton solution of the equation is : \begin q_N(n,t)=q_+ + \log \frac , \end where :C_N(n,t)=\Bigg(\frac\Bigg)_, with :\gamma_j(n,t)=\gamma_j\,e^ where \kappa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacobi Operator
A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by an infinite tridiagonal matrix. It is commonly used to specify systems of orthonormal polynomials over a finite, positive Borel measure. This operator is named after Carl Gustav Jacob Jacobi. The name derives from a theorem from Jacobi, dating to 1848, stating that every symmetric matrix over a principal ideal domain is congruent to a tridiagonal matrix. Self-adjoint Jacobi operators The most important case is the one of self-adjoint Jacobi operators acting on the Hilbert space of square summable sequences over the positive integers \ell^2(\mathbb). In this case it is given by :Jf_0 = a_0 f_1 + b_0 f_0, \quad Jf_n = a_n f_ + b_n f_n + a_ f_, \quad n>0, where the coefficients are assumed to satisfy :a_n >0, \quad b_n \in \mathbb. The operator will be bounded if and only if the coefficients are bounded. There are close connections with the theory of orthog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sturm–Liouville Theory
In mathematics and its applications, classical Sturm–Liouville theory is the theory of ''real'' second-order ''linear'' ordinary differential equations of the form: for given coefficient functions , , and , an unknown function ''y = y''(''x'') of the free variable , and an unknown constant λ. All homogeneous (i.e. with the right-hand side equal to zero) second-order linear ordinary differential equations can be reduced to this form. In addition, the solution is typically required to satisfy some boundary conditions at extreme values of ''x''. Each such equation () together with its boundary conditions constitutes a Sturm–Liouville problem. In the simplest case where all coefficients are continuous on the finite closed interval and has continuous derivative, a function ''y = y''(''x'') is called a ''solution'' if it is continuously differentiable and satisfies the equation () at every x\in (a,b). In the case of more general , , , the solutions must be understood in a weak ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austrian Science Fund
The Austrian Science Fund (german: Fonds zur Förderung der wissenschaftlichen Forschung, FWF) is the most important Austrian funding organization for basic research. The FWF supports research in science, engineering, and the humanities through a large variety of grant programmes, prizes and by funding infrastructure. The self-governed organization is based in Vienna and financed by the Austrian federal government. Organisation The Austrian Science Fund was established in 1967 and had a budget of 91 million euros in 2001. Most projects are individual research grants for up to three years. In addition, it also supports national research clusters, doctoral schools, scholarships for young researchers and awards like the ''START-'' and Wittgenstein-Preis. Pascale Ehrenfreund was elected president of the FWF on 6 June 2013. In recent years, the Austrian Science Fund provides growing support for the publication of articles and monographs in the open access format. Membership The Au ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Start-Preis
The Start-Preis is the highest Austrian award for young scientists. It is awarded once per year by the Austrian Science Fund on behalf of the Austrian Ministry for Science. It is endowed with up to 1.2 million Euro for a proposed research project for six years. The recipients are selected by an international jury of experts. The same jury also selects the recipients of the related Wittgenstein-Preis. Recipients * 1996: Christian Koeberl, Ferenc Krausz, Ulrich Schmid, Peter Szmolyan, Karl Unterrainer, Harald Weinfurter, Gerhard J. Woeginger, Jakob Woisetschläger * 1997: Gerhard Holzapfel, Bernhard Palme, Michael Schmid * 1998: Peter Grabner, Gottfried Kirchengast, Rudolf Valenta, Gerhard Widmer * 1999: Christoph Marschner, Norbert Mauser, Otmar Scherzer, Thomas Schrefl, Christoph Spötl, Joseph Strauss * 2000: Thomas Brabec, Susanne Kalss, Dietrich Leibfried, Herbert Strobl, Bernhard Tilg * 2001: Markus Arndt, Michael Buchmeiser, Wolfgang Drexler, Wilfried Ellmeier, Clemen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prize Of The Austrian Mathematical Society
The Prize of the Austrian Mathematical Society (german: Förderungspreis) is the highest mathematics award in Austria. It is awarded every year by the Austrian Mathematical Society to a promising young mathematician for outstanding achievements. A substantial part of the work must have been performed in Austria. The recipient receives, in addition to a monetary reward, a medal showing Rudolf Inzinger. The prize was established in 1955 and is awarded since 1956. See also Awards and Prizes of the Austrian Mathematical Society (in german)* List of mathematics awards This list of mathematics awards is an index to articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the wor ... Mathematics awards Awards established in 1955 1955 establishments in Austria ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austrian Physical Society
The Austrian Physical Society (german: Österreichische Physikalische Gesellschaft) is the national physical society of Austria. History Until 1938, Austrian physicists were part of the German Physical Society. On 13 December 1950, it was decided to found a separate society for Austria and Fritz Kohlrausch was elected as first president in 1951. Prizes Every year it awards a prize to a promising young physicist. Alternating every year, this is the Ludwig Boltzmann Prize for theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena. This is in contrast to experimental physics, which uses experim ... and the Fritz Kohlrausch Prize for experimental physics. References External linksOfficial website {{authority control Physics societies Scientific organisations based in Austria Scientific organizations established in 1950 1950 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
