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Ramanujan Institute For Advanced Study In Mathematics
Ramanujan Institute for Advanced Study in Mathematics (RIASM) is the Department of Mathematics of University of Madras. This name was adopted in 1967. History The University of Madras was incorporated in 1857 and the Department of Mathematics was an integral part of the university from its beginning. The department developed from its early years to become a centre of research in mathematics with the appointment of R. Vaidyanathaswamy as a Reader in Mathematics in 1927. The seeds of the Ramanujan Institute for Advanced Study in Mathematics were sown when the "Ramanujan Institute of Mathematics" was established by Alagappa Chettiar on 26 January 1950 as a memorial to the mathematician Srinivasa Ramanujan. It was governed by the Asoka Charitable Trust, Karaikudi, and was located at Krishna Vilas, Vepery, Chennai. The Ramanujan Institute of Mathematics was inaugurated by A. Lakshmanaswamy Mudaliar, Vice Chancellor of University of Madras, with T. Vijayaraghavan, a student of G. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
NFCC
The PFF National Challenge Cup is an annual semi-professional knockout football competition in men's domestic Pakistani football within the Pakistan football league system. It is organized by and named after the Pakistan Football Federation. Khan Research Laboratories have won the most titles (six). WAPDA are the current champions, winning the 2020 edition courtesy of a 1-0 win against SSGC F.C. in the final. Background Although it is an annual competition, it has not been held on a few occasions. The competition was not held from (1980–83, 1986, 1988–89, 1995, 1997, 2004, 2006–07, 2017, 2021–22). The tournament has seen various name changes throughout its establishment. Names Finals ;Wins by club Results by team Since its establishment, the National Challenge Cup has been won by 15 different teams. Teams shown in ''italics'' are no longer in existence. Giant killings The possibility of unlikely victories in the earlier rounds of the competition, where lower ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Subrahmanyan Chandrasekhar
Subrahmanyan Chandrasekhar (; ) (19 October 1910 – 21 August 1995) was an Indian-American theoretical physicist who spent his professional life in the United States. He shared the 1983 Nobel Prize for Physics with William A. Fowler for "...theoretical studies of the physical processes of importance to the structure and evolution of the stars". His mathematical treatment of stellar evolution yielded many of the current theoretical models of the later evolutionary stages of massive stars and black holes. Many concepts, institutions, and inventions, including the Chandrasekhar limit and the Chandra X-Ray Observatory, are named after him. Chandrasekhar worked on a wide variety of problems in physics during his lifetime, contributing to the contemporary understanding of stellar structure, white dwarfs, stellar dynamics, stochastic process, radiative transfer, the quantum theory of the hydrogen anion, hydrodynamic and hydromagnetic stability, turbulence, equilibrium and the st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Process
In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables. Stochastic processes are widely used as mathematical models of systems and phenomena that appear to vary in a random manner. Examples include the growth of a bacterial population, an electrical current fluctuating due to thermal noise, or the movement of a gas molecule. Stochastic processes have applications in many disciplines such as biology, chemistry, ecology, neuroscience, physics, image processing, signal processing, control theory, information theory, computer science, cryptography and telecommunications. Furthermore, seemingly random changes in financial markets have motivated the extensive use of stochastic processes in finance. Applications and the study of phenomena have in turn inspired the proposal of new stochastic processes. Examples of such stochastic processes include the Wiener process or Brownian motion ... [...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 pr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equations
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 theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Potential Theory
In mathematics and mathematical physics, potential theory is the study of harmonic functions. The term "potential theory" was coined in 19th-century physics when it was realized that two fundamental forces of nature known at the time, namely gravity and the electrostatic force, could be modeled using functions called the gravitational potential and electrostatic potential, both of which satisfy Poisson's equation—or in the vacuum, Laplace's equation. There is considerable overlap between potential theory and the theory of Poisson's equation to the extent that it is impossible to draw a distinction between these two fields. The difference is more one of emphasis than subject matter and rests on the following distinction: potential theory focuses on the properties of the functions as opposed to the properties of the equation. For example, a result about the singularities of harmonic functions would be said to belong to potential theory whilst a result on how the solution dep ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term " harmonics" originated as the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are integer multiples of one another, as are the frequencies of the harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on R''n'' is still an area of ongoing research, particularly concerning Fourier transformation on more general objects such as tempered ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential and integral equations. The usage of the word '' functional'' as a noun goes back to the calculus of variations, implying a function whose argument is a function. The term was first used in Hadamard's 1910 book on that subject. However, the general concept of a functional had previously been introduced in 1887 by the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra () is one of the areas of mathematics, broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variable (mathematics), variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in mathematical education, education, to the study of algebraic structures such as group (mathematics), groups, ring (mathematics), rings, and field (mathematics), fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MPhil
The Master of Philosophy (MPhil; Latin ' or ') is a postgraduate degree. In the United States, an MPhil typically includes a taught portion and a significant research portion, during which a thesis project is conducted under supervision. An MPhil may be awarded to postgraduate students after completing taught coursework and one to two years of original research, which may also serve as a provisional enrolment for a PhD programme. Australia In Australia, the Master of Philosophy is a research degree which mirrors a Doctorate of Philosophy (PhD) in breadth of research and structure. Candidates are assessed on the basis of a thesis. A standard full-time degree often takes two years to complete. Belgium and Netherlands In Belgium and the Netherlands, the MPhil is a special research degree, and is only awarded by selected departments of a university (mostly in the fields of arts, social sciences, archaeology, philosophy and theology). Admission to these programmes is highly selective a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Hindu
''The Hindu'' is an Indian English-language daily newspaper owned by The Hindu Group, headquartered in Chennai, Tamil Nadu. It began as a weekly in 1878 and became a daily in 1889. It is one of the Indian newspapers of record and the second most circulated English-language newspaper in India, after '' The Times of India''. , ''The Hindu'' is published from 21 locations across 11 states of India. ''The Hindu'' has been a family-owned newspaper since 1905, when it was purchased by S. Kasturi Ranga Iyengar from the original founders. It is now jointly owned by Iyengar's descendants, referred to as the "Kasturi family", who serve as the directors of the holding company. The current chairperson of the group is Malini Parthasarathy, a great-granddaughter of Iyengar. Except for a period of about two years, when S. Varadarajan held the editorship of the newspaper, the editorial positions of the paper were always held by members of the family or held under their direction. His ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tiruchirapalli
Tiruchirappalli () (Renaming of cities in India, formerly Trichinopoly in English), also called Tiruchi or Trichy, is a major tier II city in the States and union territories of India, Indian state of Tamil Nadu and the administrative headquarters of Tiruchirappalli district. The city is credited with being the best livable city and the cleanest city of Tamil Nadu, as well as the fifth safest city for women in India. It is the fourth largest city as well as the fourth largest urban agglomeration in the state. Located south of Chennai and north of Kanyakumari, Tiruchirappalli sits almost at the geographic centre of Tamil Nadu state. The Cauvery Delta begins west of the city where the Kaveri, Kaveri river splits into two, forming the island of Srirangam which is now incorporated into the Tiruchirappalli City Municipal Corporation. The city occupies an area of and had a population of 916,857 in 2011. Tiruchirappalli's recorded history begins in the 3rd century BC, when it wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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