Jacek Banasiak
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Jacek Banasiak
Jacek Banasiak African Academy of Sciences, FAAS (born 15 March 1959) is a Polish mathematician who is a Professor and DST/NRF SARChI Chair in Mathematical Models and Methods in Biosciences and Bioengineering at the University of Pretoria, South Africa. Early life and education Jacek Banasiak was born on 15 March 1959 in Łódź, Poland. He obtained a Master of Science (MSc) in Math from the Łódź University of Technology in 1981, and Doctor of Philosophy (PhD) in mathematics on 15 March 1989 from the University of Strathclyde, Scotland. He was Habilitation, hablitated (PD) in Physics on 17 June 1999 from the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw with a thesis titled ''Singularly Perturbed Evolution Equations with Applications in Kinetic Theory and Other Branches of Mathematical Physics''. Career and research Banasiak became a professor on 21 December 2007, and has been a Professor of Mathematical Sciences at the University of KwaZulu-Nata ...
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Łódź
Łódź, also rendered in English as Lodz, is a city in central Poland and a former industrial centre. It is the capital of Łódź Voivodeship, and is located approximately south-west of Warsaw. The city's coat of arms is an example of canting arms, canting, as it depicts a boat ( in Polish language, Polish), which alludes to the city's name. As of 2022, Łódź has a population of 670,642 making it the country's List of cities and towns in Poland, fourth largest city. Łódź was once a small settlement that first appeared in 14th-century records. It was granted city rights, town rights in 1423 by Polish King Władysław II Jagiełło and it remained a private town of the Kuyavian bishops and clergy until the late 18th century. In the Second Partition of Poland in 1793, Łódź was annexed to Kingdom of Prussia, Prussia before becoming part of the Napoleonic Duchy of Warsaw; the city joined Congress Poland, a Russian Empire, Russian client state, at the 1815 Congress of Vien ...
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Visiting Scholar
In academia, a visiting scholar, visiting researcher, visiting fellow, visiting lecturer, or visiting professor is a scholar from an institution who visits a host university to teach, lecture, or perform research on a topic for which the visitor is valued. In many cases the position is not salaried because visitor is salaried by their home institution (or partially salaried, as in some cases of sabbatical leave from US universities). Some visiting positions are salaried. Typically, a visiting scholar may stay for a couple of months or even a year,UT"Visiting Scholar". The University of Texas at Austin. though the stay can be extended. Typically, a visiting scholar is invited by the host institution, and it is not unusual for them to provide accommodation. Such an invitation is often regarded as recognizing the scholar's prominence in the field. Attracting prominent visiting scholars often allows the permanent faculty and graduate students to cooperate with prominent academic ...
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South African Mathematicians
South is one of the cardinal directions or compass points. The direction is the opposite of north and is perpendicular to both east and west. Etymology The word ''south'' comes from Old English ''sūþ'', from earlier Proto-Germanic ''*sunþaz'' ("south"), possibly related to the same Proto-Indo-European root that the word ''sun'' derived from. Some languages describe south in the same way, from the fact that it is the direction of the sun at noon (in the Northern Hemisphere), like Latin meridies 'noon, south' (from medius 'middle' + dies 'day', cf English meridional), while others describe south as the right-hand side of the rising sun, like Biblical Hebrew תֵּימָן teiman 'south' from יָמִין yamin 'right', Aramaic תַּימנַא taymna from יָמִין yamin 'right' and Syriac ܬܰܝܡܢܳܐ taymna from ܝܰܡܝܺܢܳܐ yamina (hence the name of Yemen, the land to the south/right of the Levant). Navigation By convention, the ''bottom or down-facing side'' of ...
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Cross Of Merit (Poland)
The Cross of Merit () is a Polish civil state decoration established on 23 June 1923, to recognize services to the state. History At the time of its establishment in 1923, the Cross of Merit was the highest civilian award in Poland. It was awarded to citizens who went beyond the call of duty in their work for the country and society as a whole. May be awarded twice in each grade to the same person. File:Gold Cross of Merit (obv) (People's Republic Issue).jpg, Gold Cross of Merit issued by the People's Republic File:Silver Cross of Merit (obv) (People's Republic Issue).jpg, Silver Cross of Merit issued by the People's Republic The Order The Order has three grades: Recipients Gold Cross of Merit * Ewa Hojna, 13 May 2022, Director of Polish School Cultural Association (ACEP), Spain * Jan-Krzysztof Duda, 2021, chess grandmaster * Wanda Paulina Gluszek, 2016, political activist, poet, Chicago, Illinois * Michał Korwin-Szymanowski, also known as Michel Korwin, 2015, Mo ...
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Afrika Matematica
The African Mathematical Union or Union Mathematique Africaine is an African organization dedicated to the development of mathematics in Africa. It was founded in 1976 in Rabat, Morocco, during the first Pan-African Congress of Mathematicians with Henri Hogbe Nlend as its first President. Another key figure in its early years was George Saitoti, later a prominent Kenyan politician. Mission The mission of the African Mathematical Union is twofold: # To coordinate and promote the quality of teaching, research and outreach activities in all areas of activities in all areas of mathematics throughout Africa. # To advance mathematical research and education towards the economic, social and cultural development of the continent. Commissions The Union has five Commissions: # AMU-CAWM. Commission on Women in Mathematics in Africa, led by Marie Françoise Ouedraogo since 2009. # AMU-CMEA. Commission on Mathematics Education in Africa. # AMU-CHMA. Commission on the History of Mathematic ...
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African Institute For Mathematical Sciences
The African Institute for Mathematical Sciences (AIMS) is a tertiary education and research institute in Muizenberg, South Africa, established in September 2003, and an associated network of linked institutes in Senegal, Ghana, Cameroon, Tanzania and Rwanda. History Founder The first African Institute for Mathematical Sciences was founded in Cape Town by Neil Turok in 2003, while he was Chair of Mathematical Physics at Cambridge University. Neil Turok is the son of Ben Turok, an ANC MP. In 2008 Turok became Executive Director of the Perimeter Institute for Theoretical Physics. AIMS South Africa was formed as a partnership between the following universities: University of Stellenbosch, University of Cambridge, University of Cape Town, University of Oxford, University of Paris-Sud, and University of the Western Cape. AIMS Next Einstein Initiative AIMS was the subject of a talk by Neil Turok after he received the TED Prize in 2008. Neil Turok's TED wish was that, within hi ...
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Academy Of Science Of South Africa
The Academy of Science of South Africa (ASSAf) is the national science academy in South Africa. It was started in 1996, and encompasses all fields of scientific work. Its legal foundation is the ''Academy of Science of South Africa Act'', Act 67 of 2001, which came into operation in May 2002. The ASSAf was inaugurated in March 1996 by the former President of South Africa and patron of the academy, Nelson Mandela. In 2021, the academy had 632 members. History For about one century, the national science 'academy' comprised two separate institutions – the Royal Society (from the UK) and the ''Suid-Afrikaanse Akademie vir Wetenskap en Kuns'' (SAAWK). SAAWK had an Afrikaans-language focus and was heavily supported by South African business. Based in Pretoria, it was established in 1909 and was the national academy (the statute was passed in 1950) until democracy in 1994. It was structured in two 'faculties': human and natural sciences, with a journal for each. While it still a ...
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Differential Equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ...
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Difference Equation
In mathematics, a recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms. Often, only k previous terms of the sequence appear in the equation, for a parameter k that is independent of n; this number k is called the ''order'' of the relation. If the values of the first k numbers in the sequence have been given, the rest of the sequence can be calculated by repeatedly applying the equation. In ''linear recurrences'', the th term is equated to a linear function of the k previous terms. A famous example is the recurrence for the Fibonacci numbers, F_n=F_+F_ where the order k is two and the linear function merely adds the two previous terms. This example is a linear recurrence with constant coefficients, because the coefficients of the linear function (1 and 1) are constants that do not depend on n. For these recurrences, one can express the general term of the sequence as a closed-form expression of ...
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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 ...
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Asymptotic Analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior. As an illustration, suppose that we are interested in the properties of a function as becomes very large. If , then as becomes very large, the term becomes insignificant compared to . The function is said to be "''asymptotically equivalent'' to , as ". This is often written symbolically as , which is read as " is asymptotic to ". An example of an important asymptotic result is the prime number theorem. Let denote the prime-counting function (which is not directly related to the constant pi), i.e. is the number of prime numbers that are less than or equal to . Then the theorem states that \pi(x)\sim\frac. Asymptotic analysis is commonly used in computer science as part of the analysis of algorithms and is often expressed there in terms of big O notation. Definition Formally, given functions and , we define a binary relation f(x) \sim g(x) \qu ...
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Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative internal binary operation on it. The binary operation of a semigroup is most often denoted multiplicatively: ''x''·''y'', or simply ''xy'', denotes the result of applying the semigroup operation to the ordered pair . Associativity is formally expressed as that for all ''x'', ''y'' and ''z'' in the semigroup. Semigroups may be considered a special case of magmas, where the operation is associative, or as a generalization of groups, without requiring the existence of an identity element or inverses. The closure axiom is implied by the definition of a binary operation on a set. Some authors thus omit it and specify three axioms for a group and only one axiom (associativity) for a semigroup. As in the case of groups or magmas, the semigroup operation need not be commutative, so ''x''·''y'' is not necessarily equal to ''y''·''x''; a well-known example of an operation that is as ...
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