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Centre For Mathematical Sciences (Kerala)
Centre for Mathematical Sciences (CMS), with campuses at Thiruvananthapuram and Pala in Kerala, India, is a research level institution devoted to mathematics and other related disciplines like statistics, theoretical physics, computer and information sciences. The Centre was incorporated in 1977 as a non-profit scientific research and training centre under the Travancore-Cochin Literary, Scientific and Charitable Societies Registration Act XII of 1955. The driving force behind the establishment of the Centre was Prof. Aleyamma George, who had been Professor and Head of the Department of Statistics of University of Kerala. Since 2006, the Centre is a Department of Science and Technology (India) (DST), Government of India, New Delhi Centre for Mathematical Sciences and is fully financed by DST, New Delhi. The Centre is headed by a Chairman, a position currently held by Dr. A Sukumaran Nair, a former Vice-Chancellor of Mahatma Gandhi University, Kottayam, and a Director a pos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kerala
Kerala ( ; ) is a state on the Malabar Coast of India. It was formed on 1 November 1956, following the passage of the States Reorganisation Act, by combining Malayalam-speaking regions of the erstwhile regions of Cochin, Malabar, South Canara, and Thiruvithamkoor. Spread over , Kerala is the 21st largest Indian state by area. It is bordered by Karnataka to the north and northeast, Tamil Nadu to the east and south, and the Lakshadweep Sea to the west. With 33 million inhabitants as per the 2011 census, Kerala is the 13th-largest Indian state by population. It is divided into 14 districts with the capital being Thiruvananthapuram. Malayalam is the most widely spoken language and is also the official language of the state. The Chera dynasty was the first prominent kingdom based in Kerala. The Ay kingdom in the deep south and the Ezhimala kingdom in the north formed the other kingdoms in the early years of the Common Era (CE). The region had been a prominent spic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vice-Chancellor
A chancellor is a leader of a college or university, usually either the executive or ceremonial head of the university or of a university campus within a university system. In most Commonwealth of Nations, Commonwealth and former Commonwealth nations, the chancellor is usually a ceremonial non-resident head of the university. In such institutions, the chief executive of a university is the vice-chancellor, who may carry an additional title such as ''president'' (e.g. "president & vice-chancellor"). The chancellor may serve as chairperson of the governing body; if not, this duty is often held by a chairperson who may be known as a pro-chancellor. In many countries, the administrative and educational head of the university is known as the president, principal (academia), principal or rector (academia), rector. In the United States, the head of a university is most commonly a university president. In U.S., university systems that have more than one affiliated university or campus, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
McGill University
McGill University (french: link=no, Université McGill) is an English-language public research university located in Montreal, Quebec, Canada. Founded in 1821 by royal charter granted by King George IV,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, 1801–1895.'' McGill-Queen's University Press, 1980. the university bears the name of James McGill, a Scottish merchant whose bequest in 1813 formed the university's precursor, University of McGill College (or simply, McGill College); the name was officially changed to McGill University in 1885. McGill's main campus is on the slope of Mount Royal in downtown Montreal in the borough of Ville-Marie, with a second campus situated in Sainte-Anne-de-Bellevue, west of the main campus on Montreal Island. The university is one of two members of the Association of American Universities located outside the United States, alongside the University of Toronto, and is the only Canadian member of the Glob ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diocese
In Ecclesiastical polity, church governance, a diocese or bishopric is the ecclesiastical district under the jurisdiction of a bishop. History In the later organization of the Roman Empire, the increasingly subdivided Roman province, provinces were administratively associated in a larger unit, the Roman diocese, diocese (Latin ''dioecesis'', from the Greek language, Greek term διοίκησις, meaning "administration"). Christianity was given legal status in 313 with the Edict of Milan. Churches began to organize themselves into Roman diocese, dioceses based on the Roman diocese, civil dioceses, not on the larger regional imperial districts. These dioceses were often smaller than the Roman province, provinces. Christianity was declared the Empire's State church of the Roman Empire, official religion by Theodosius I in 380. Constantine the Great, Constantine I in 318 gave litigants the right to have court cases transferred from the civil courts to the bishops. This situ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Campus
A campus is traditionally the land on which a college or university and related institutional buildings are situated. Usually a college campus includes libraries, lecture halls, residence halls, student centers or dining halls, and park-like settings. A modern campus is a collection of buildings and grounds that belong to a given institution, either academic or non-academic. Examples include the Googleplex and the Apple Campus. Etymology The word derives from a Latin word for "field" and was first used to describe the large field adjacent Nassau Hall of the College of New Jersey (now Princeton University) in 1774. The field separated Princeton from the small nearby town. Some other American colleges later adopted the word to describe individual fields at their own institutions, but "campus" did not yet describe the whole university property. A school might have one space called a campus, another called a field, and still another called a yard. History The tradition of a camp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trivandrum
Thiruvananthapuram (; ), also known by its former name Trivandrum (), is the capital of the Indian state of Kerala. It is the most populous city in Kerala with a population of 957,730 as of 2011. The encompassing urban agglomeration population is around 1.68 million. Located on the west coast of India near the extreme south of the mainland, Thiruvananthapuram is a major information technology hub in Kerala and contributes 55% of the state's software exports as of 2016. Referred to by Mahatma Gandhi as the "Evergreen city of India", the city is characterised by its undulating terrain of low coastal hills. The present regions that constitute Thiruvananthapuram were ruled by the Ays who were feudatories of the Chera dynasty. In the 12th century, it was conquered by the Kingdom of Venad. In the 18th century, the king Marthanda Varma expanded the territory, founded the princely state of Travancore, and made Thiruvananthapuram its capital. Travancore became the most dominan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chemistry
Chemistry is the science, scientific study of the properties and behavior of matter. It is a natural science that covers the Chemical element, elements that make up matter to the chemical compound, compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a Chemical reaction, reaction with other Chemical substance, substances. Chemistry also addresses the nature of chemical bonds in chemical compounds. In the scope of its subject, chemistry occupies an intermediate position between physics and biology. It is sometimes called the central science because it provides a foundation for understanding both Basic research, basic and Applied science, applied scientific disciplines at a fundamental level. For example, chemistry explains aspects of plant growth (botany), the formation of igneous rocks (geology), how atmospheric ozone is formed and how environmental pollutants are degraded (ecology), the properties ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discrete Mathematics
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the term "discrete mathematics". The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite se ... [...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 process, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometric Probability
Problems of the following type, and their solution techniques, were first studied in the 18th century, and the general topic became known as geometric probability. * (Buffon's needle) What is the chance that a needle dropped randomly onto a floor marked with equally spaced parallel lines will cross one of the lines? * What is the mean length of a random chord of a unit circle? (cf. Bertrand's paradox (probability), Bertrand's paradox). * What is the chance that three random points in the plane form an acute (rather than obtuse) triangle? * What is the mean area of the polygonal regions formed when randomly oriented lines are spread over the plane? For mathematical development see the concise monograph by Solomon. Since the late 20th century, the topic has split into two topics with different emphases. Integral geometry sprang from the principle that the mathematically natural probability models are those that are invariant under certain transformation groups. This topic emph ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Special Functions
Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. The term is defined by consensus, and thus lacks a general formal definition, but the List of mathematical functions contains functions that are commonly accepted as special. Tables of special functions Many special functions appear as solutions of differential equations or integrals of elementary functions. Therefore, tables of integrals usually include descriptions of special functions, and tables of special functions include most important integrals; at least, the integral representation of special functions. Because symmetries of differential equations are essential to both physics and mathematics, the theory of special functions is closely related to the theory of Lie groups and Lie algebras, as well as certain topics in mathematical physics. Symbolic c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fractional Calculus
Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator D :D f(x) = \frac f(x)\,, and of the integration operator J The symbol J is commonly used instead of the intuitive I in order to avoid confusion with other concepts identified by similar I–like glyphs, such as identities. :J f(x) = \int_0^x f(s) \,ds\,, and developing a calculus for such operators generalizing the classical one. In this context, the term ''powers'' refers to iterative application of a linear operator D to a function f, that is, repeatedly composing D with itself, as in D^n(f) = (\underbrace_n)(f) = \underbrace_n (f)\cdots))). For example, one may ask for a meaningful interpretation of :\sqrt = D^\frac12 as an analogue of the functional square root for the differentiation operator, that is, an expression for some linear operator that, when applied ''twice'' to any ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
