Karl Svozil
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Karl Svozil
Karl Svozil (born 18 December 1956 in Vienna, Austria) is an Austrian physicist educated at the University of Vienna and Heidelberg University. Visiting scholar at the Lawrence Berkeley Laboratory of the University of California at Berkeley, U.S.A. (1982–1983), the Lebedev Institute of the Moscow State University, and the Ioffe Institute, St. Petersburg (1986). Docent in Theoretical Physics at the Vienna Technical University. Ao. Univ. Professor at the Institute for Theoretical Physics of the Vienna Technical University. External Researcher at the Centre for Discrete Mathematics and Theoretical Computer Science of the University of Auckland. Research in quantum theory, applications of computability theory, algorithmic information theory, constructive mathematics (in Errett Bishop Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an Americans, American mathematician known for his work on analysis. He expanded constructive analysis in his 1967 ''Foundations of Const ...
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Austrian People
, pop = 8–8.5 million , regions = 7,427,759 , region1 = , pop1 = 684,184 , ref1 = , region2 = , pop2 = 345,620 , ref2 = , region3 = , pop3 = 197,990 , ref3 = , region4 = , pop4 = 40,300–65,090 , ref4 = , region5 = , pop5 = 45,530 , ref5 = , region6 = , pop6 = 21,600–25,000 , ref6 = , region7 = , pop7 = 20,000 , ref7 = , region8 = , pop8 = 16,331 , ref8 = , region9 = , pop9 = 15,771 , ref9 = , region10 = , pop10 = 14,000 , ref10 = , region11 = , pop11 = 12,000 , ref11 = , region12 = , pop12 = 10,000 , ref12 = , region13 = , pop13 = 9,800 , ref13 = , region14 = , pop14 = 9,044 , ref14 = , region15 = , pop15 ...
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Ioffe Institute
The Ioffe Physical-Technical Institute of the Russian Academy of Sciences (for short, Ioffe Institute, russian: Физико-технический институт им. А. Ф. Иоффе) is one of Russia's largest research centers specialized in physics and technology. The institute was established in 1918 in Petrograd (now St. Petersburg) and run for several decades by Abram Ioffe. The institute is a member of the Russian Academy of Sciences. Present structure of the institute As of 2019, the Ioffe institute employed about 1500 people, around 1000 of whom were scientific researchers (including 560 with a PhD degree and 250 with a Doktor Nauk degree). Most of the research staff members are top graduates of the St. Petersburg (former Leningrad) universities. From 2013 until mid-May 2018 the Ioffe institute was under formal jurisdiction of the Federal Agency for Scientific Organizations (FASO Russia), now it is under jurisdiction of the established in May 2018 Ministry of Sc ...
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1956 Births
Events January * January 1 – The Anglo-Egyptian Sudan, Anglo-Egyptian Condominium ends in Sudan. * January 8 – Operation Auca: Five U.S. evangelical Christian Missionary, missionaries, Nate Saint, Roger Youderian, Ed McCully, Jim Elliot and Pete Fleming, are killed for trespassing by the Huaorani people of Ecuador, shortly after making contact with them. * January 16 – Egyptian leader Gamal Abdel Nasser vows to reconquer Palestine (region), Palestine. * January 25–January 26, 26 – Finnish troops reoccupy Porkkala, after Soviet Union, Soviet troops vacate its military base. Civilians can return February 4. * January 26 – The 1956 Winter Olympics open in Cortina d'Ampezzo, Italy. February * February 11 – British Espionage, spies Guy Burgess and Donald Maclean (spy), Donald Maclean resurface in the Soviet Union, after being missing for 5 years. * February 14–February 25, 25 – The 20th Congress of the Communist Party of the Soviet Union is held in Mosc ...
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21st-century Austrian Physicists
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ...
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Errett Bishop
Errett Albert Bishop (July 14, 1928 – April 14, 1983) was an Americans, American mathematician known for his work on analysis. He expanded constructive analysis in his 1967 ''Foundations of Constructive Analysis'', where he Mathematical proof, proved most of the important theorems in real analysis by Constructivism (mathematics), constructive methods. Life Errett Bishop's father, Albert T. Bishop, graduated from the United States Military Academy at West Point, ending his career as professor of mathematics at Wichita State University in Kansas. Although he died when Errett was less than 4 years old, he influenced Errett's eventual career by the math texts he left behind, which is how Errett discovered mathematics. Errett grew up in Newton, Kansas. Errett and his sister were apparent math prodigies. Bishop entered the University of Chicago in 1944, obtaining both the BS and MS in 1947. The doctoral studies he began in that year were interrupted by two years in the US Army, 1950 ...
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Constructive Mathematics
In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists. Contrastingly, in classical mathematics, one can prove the existence of a mathematical object without "finding" that object explicitly, by assuming its non-existence and then deriving a contradiction from that assumption. Such a proof by contradiction might be called non-constructive, and a constructivist might reject it. The constructive viewpoint involves a verificational interpretation of the existential quantifier, which is at odds with its classical interpretation. There are many forms of constructivism. These include the program of intuitionism founded by Brouwer, the finitism of Hilbert and Bernays, the constructive recursive mathematics of Shanin and Markov, and Bishop's program of constructive analysis. Constructivism also includes the study of constructive set theories such as CZF ...
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Algorithmic Information Theory
Algorithmic information theory (AIT) is a branch of theoretical computer science that concerns itself with the relationship between computation and information of computably generated objects (as opposed to stochastically generated), such as strings or any other data structure. In other words, it is shown within algorithmic information theory that computational incompressibility "mimics" (except for a constant that only depends on the chosen universal programming language) the relations or inequalities found in information theory. According to Gregory Chaitin, it is "the result of putting Shannon's information theory and Turing's computability theory into a cocktail shaker and shaking vigorously." Besides the formalization of a universal measure for irreducible information content of computably generated objects, some main achievements of AIT were to show that: in fact algorithmic complexity follows (in the self-delimited case) the same inequalities (except for a constant) tha ...
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Computability Theory
Computability theory, also known as recursion theory, is a branch of mathematical logic, computer science, and the theory of computation that originated in the 1930s with the study of computable functions and Turing degrees. The field has since expanded to include the study of generalized computability and definability. In these areas, computability theory overlaps with proof theory and effective descriptive set theory. Basic questions addressed by computability theory include: * What does it mean for a function on the natural numbers to be computable? * How can noncomputable functions be classified into a hierarchy based on their level of noncomputability? Although there is considerable overlap in terms of knowledge and methods, mathematical computability theorists study the theory of relative computability, reducibility notions, and degree structures; those in the computer science field focus on the theory of subrecursive hierarchies, formal methods, and formal languages. I ...
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Quantum Mechanics
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale. Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values ( quantization); objects have characteristics of both particles and waves (wave–particle duality); and there are limits to ...
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University Of Auckland
, mottoeng = By natural ability and hard work , established = 1883; years ago , endowment = NZD $293 million (31 December 2021) , budget = NZD $1.281 billion (31 December 2021) , chancellor = Cecilia Tarrant , vice_chancellor = Dawn Freshwater , city = Auckland , country = New Zealand (Māori: ''Tāmaki Makaurau, Aotearoa'') , academic_staff = 2,402 (FTE, 2019) , administrative_staff = 3,567 (FTE, 2019) , students = 34,521 (EFTS, 2019) , undergrad = 25,200 (EFTS, 2019) , postgrad = 8,630 (EFTS, 2019) , type = Public flagship research university , campus = Urban,City Campus: 16 ha (40 acres)Total: 40 ha (99 acres) , free_label = Student Magazine , free = Craccum , colours = Auckland Dark Blue and White , affiliations = ACU, APAIE, APRU, Universitas 21, WUN , website Auckland.ac.nz, logo = File:University of Auckland.svg The University of Auckland is a public research university based in Auckland, New Zealand. It is the largest, most comprehen ...
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Vienna Technical University
TU Wien (TUW; german: Technische Universität Wien; still known in English as the Vienna University of Technology from 1975–2014) is one of the major universities in Vienna, Austria. The university finds high international and domestic recognition in teaching as well as in research, and it is a highly esteemed partner of innovation-oriented enterprises. It currently has about 28,100 students (29% women), eight faculties and about 5,000 staff members (3,800 academics). The university's teaching and research is focused on engineering, computer science, and natural sciences. History The institution was founded in 1815 by Emperor Francis I of Austria as the '' k.k. Polytechnische Institut'' (Imperial-Royal Polytechnic Institute). The first rector was Johann Joseph von Prechtl. It was renamed the ''Technische Hochschule'' (College of Technology) in 1872. When it began granting doctoral and higher degrees in 1975, it was renamed the ''Technische Universität Wien'' (Vienna Univers ...
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