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Welsh Mathematicians
This is a list of Welsh mathematicians, who have contributed to the development of mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar .... References {{reflist * Chambers, Ll. G. ''Mathemategwyr Cymru'' (Mathematicians of Wales), Cyd Bwyllgor Addysg Cymru, 1994. External linksWelsh scientistsMathematicians, Scientists and Inventors * Welsh mathematicians ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematicians
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians was Thales of Miletus (); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales's theorem. The number of known mathematicians grew when Pythagoras of Samos () established the Pythagorean school, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia of Alexandria ( – 415). She succe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Euler
Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential discoveries in many other branches of mathematics, such as analytic number theory, complex analysis, and infinitesimal calculus. He also introduced much of modern mathematical terminology and notation, including the notion of a mathematical function. He is known for his work in mechanics, fluid dynamics, optics, astronomy, and music theory. Euler has been called a "universal genius" who "was fully equipped with almost unlimited powers of imagination, intellectual gifts and extraordinary memory". He spent most of his adult life in Saint Petersburg, Russia, and in Berlin, then the capital of Prussia. Euler is credited for popularizing the Greek letter \pi (lowercase pi) to denote the ratio of a circle's circumference to its diameter, as we ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Intellectual
An intellectual is a person who engages in critical thinking, research, and Human self-reflection, reflection about the nature of reality, especially the nature of society and proposed solutions for its normative problems. Coming from the world of culture, either as a creator or as a mediator, the intellectual participates in politics, either to defend a concrete proposition or to denounce an injustice, usually by either rejecting, producing or extending an ideology, and by defending a system of value theory, values. Etymological background "Man of letters" The term "man of letters" derives from the French term ''Belles-lettres, belletrist'' or ''homme de lettres'' but is not synonymous with "an academic". A "man of letters" was a literate man, able to read and write, and thus highly valued in the upper strata of society in a time when literacy was rare. In the 17th and 18th centuries, the term ''Belletrist(s)'' came to be applied to the ''literati'': the French particip ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Northwestern Europe, off the coast of European mainland, the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The UK includes the island of Great Britain, the north-eastern part of the island of Ireland, and most of List of islands of the United Kingdom, the smaller islands within the British Isles, covering . Northern Ireland shares Republic of Ireland–United Kingdom border, a land border with the Republic of Ireland; otherwise, the UK is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. It maintains sovereignty over the British Overseas Territories, which are located across various oceans and seas globally. The UK had an estimated population of over 68.2 million people in 2023. The capital and largest city of both England and the UK is London. The cities o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Heilbronn Institute For Mathematical Research
The Heilbronn Institute for Mathematical Research is a national research institute for mathematics based at the University of Bristol. It is named after the distinguished number theorist Hans Heilbronn who worked at Bristol University from 1934–1935 and 1946–1964. The Institute was founded in 2005 and is run as a partnership between the UK Government Communications Headquarters and the UK academic mathematics community. It has facilities in Bristol, London, and Manchester. As of September 2023, the Chair of the Institute is Catherine Hobbs, having succeeded Geoffrey Grimmett Geoffrey Richard Grimmett (born 20 December 1950) is an English mathematician known for his work on the mathematics of random systems arising in probability theory and statistical mechanics, especially percolation theory and the contact process. .... The Institute has headquarters in the Fry Building of Bristol University, to which it moved in September 2019 together with the School of Mat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Welsh People
The Welsh () are an ethnic group and nation native to Wales who share a common ancestry, History of Wales, history and Culture of Wales, culture. Wales is one of the four countries of the United Kingdom. The majority of people living in Wales are British nationality law, British citizens. In Wales, the Welsh language () is protected by law. Welsh remains the predominant language in many parts of Wales, particularly in North Wales and parts of West Wales, though English is the predominant language in South Wales. The Welsh language is also taught in schools in Wales; and, even in regions of Wales in which Welsh people predominantly speak English on a daily basis, the Welsh language is spoken at home among family or in informal settings, with Welsh speakers often engaging in code-switching and translanguaging. In the English-speaking areas of Wales, many Welsh people are Multilingualism, bilingually fluent or semi-fluent in the Welsh language or, to varying degrees, capable o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tenby
Tenby () is a seaside town and community (Wales), community in the county of Pembrokeshire, Wales. It lies within Carmarthen Bay. Notable features include of sandy beaches and the Pembrokeshire Coast Path, the 13th-century Tenby Town Walls, medieval town walls, including the Five Arches barbican gatehouse, Tenby Museum and Art Gallery, the 15th-century St Mary's Church, Tenby, St. Mary's Church, and the National Trust for Places of Historic Interest or Natural Beauty, National Trust's Tudor Merchant's House. Boats sail from Tenby's harbour to the offshore monastic Caldey Island. St Catherine's Island is tidal and has a 19th-century Palmerston Fort. The town has an operating Tenby railway station, railway station. The A478 road from Cardigan, Ceredigion, connects Tenby with the M4 Motorway, M4 via the A477 road, A477, the A40 road, A40 and the A48 road, A48 in approximately . History Middle Ages With its strategic position on the far west coast of Great Britain, Britain, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Equals Sign
The equals sign (British English) or equal sign (American English), also known as the equality sign, is the mathematical symbol , which is used to indicate equality. In an equation it is placed between two expressions that have the same value, or for which one studies the conditions under which they have the same value. In Unicode and ASCII it has the code point U+003D. It was invented in 1557 by the Welsh mathematician Robert Recorde. History Prior to 16th century there was no common symbol for equality, and equality was usually expressed with a word, such as ''aequales, aequantur, esgale, faciunt, ghelijck'' or ''gleich,'' and sometimes by the abbreviated form ''aeq'', or simply and . Diophantus's use of , short for ( 'equals'), in '' Arithmetica'' () is considered one of the first uses of an equals sign. The symbol, now universally accepted in mathematics for equality, was first recorded by the Welsh mathematician Robert Recorde in '' The Whetstone of Witte'' (1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayesian Statistics
Bayesian statistics ( or ) is a theory in the field of statistics based on the Bayesian interpretation of probability, where probability expresses a ''degree of belief'' in an event. The degree of belief may be based on prior knowledge about the event, such as the results of previous experiments, or on personal beliefs about the event. This differs from a number of other interpretations of probability, such as the frequentist interpretation, which views probability as the limit of the relative frequency of an event after many trials. More concretely, analysis in Bayesian methods codifies prior knowledge in the form of a prior distribution. Bayesian statistical methods use Bayes' theorem to compute and update probabilities after obtaining new data. Bayes' theorem describes the conditional probability of an event based on data as well as prior information or beliefs about the event or conditions related to the event. For example, in Bayesian inference, Bayes' theorem can ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bayes' Theorem
Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting Conditional probability, conditional probabilities, allowing one to find the probability of a cause given its effect. For example, if the risk of developing health problems is known to increase with age, Bayes' theorem allows the risk to someone of a known age to be assessed more accurately by conditioning it relative to their age, rather than assuming that the person is typical of the population as a whole. Based on Bayes' law, both the prevalence of a disease in a given population and the error rate of an infectious disease test must be taken into account to evaluate the meaning of a positive test result and avoid the ''base-rate fallacy''. One of Bayes' theorem's many applications is Bayesian inference, an approach to statistical inference, where it is used to invert the probability of Realization (probability), observations given a model configuration (i.e., th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Actuarial Science
Actuarial science is the discipline that applies mathematics, mathematical and statistics, statistical methods to Risk assessment, assess risk in insurance, pension, finance, investment and other industries and professions. Actuary, Actuaries are professionals trained in this discipline. In many countries, actuaries must demonstrate their competence by passing a series of rigorous professional examinations focused in fields such as probability and predictive analysis. Actuarial science includes a number of interrelated subjects, including mathematics, probability theory, statistics, finance, economics, financial accounting and computer science. Historically, actuarial science used deterministic models in the construction of tables and premiums. The science has gone through revolutionary changes since the 1980s due to the proliferation of high speed computers and the union of stochastic actuarial models with modern financial theory. Many universities have undergraduate and gradu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Large Deviations Theory
In probability theory, the theory of large deviations concerns the asymptotic behaviour of remote tails of sequences of probability distributions. While some basic ideas of the theory can be traced to Laplace, the formalization started with insurance mathematics, namely ruin theory with Cramér and Lundberg. A unified formalization of large deviation theory was developed in 1966, in a paper by Varadhan. Large deviations theory formalizes the heuristic ideas of ''concentration of measures'' and widely generalizes the notion of convergence of probability measures. Roughly speaking, large deviations theory concerns itself with the exponential decline of the probability measures of certain kinds of extreme or ''tail'' events. Introductory examples An elementary example Consider a sequence of independent tosses of a fair coin. The possible outcomes could be heads or tails. Let us denote the possible outcome of the i-th trial by where we encode head as 1 and tail as 0. Now let ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
