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Lewis Fry Richardson Medal
Lewis Fry Richardson, FRS (11 October 1881 – 30 September 1953) was an English mathematician, physicist, meteorologist, psychologist, and pacifist who pioneered modern mathematical techniques of weather forecasting, and the application of similar techniques to studying the causes of wars and how to prevent them. He is also noted for his pioneering work on fractals and a method for solving a system of linear equations known as modified Richardson iteration. Early life Lewis Fry Richardson was the youngest of seven children born to Catherine Fry (1838–1919) and David Richardson (1835–1913). They were a prosperous Quaker family, David Richardson operating a successful tanning and leather-manufacturing business. At age 12 he was sent to a Quaker boarding school, Bootham School in York, where he received an education in science, which stimulated an active interest in natural history. In 1898 he went on to Durham College of Science (a college of Durham University) where he too ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Newcastle Upon Tyne
Newcastle upon Tyne, or simply Newcastle ( , Received Pronunciation, RP: ), is a City status in the United Kingdom, cathedral city and metropolitan borough in Tyne and Wear, England. It is England's northernmost metropolitan borough, located on the River Tyne's northern bank opposite Gateshead to the south. It is the most populous settlement in the Tyneside conurbation and North East England. Newcastle developed around a Roman Empire, Roman settlement called Pons Aelius. The settlement became known as ''Monkchester'' before taking on the name of The Castle, Newcastle, a castle built in 1080 by William the Conqueror's eldest son, Robert Curthose. It was one of the world's largest ship building and repair centres during the Industrial Revolution. Newcastle was historically part of the county of Northumberland, but governed as a county corporate after 1400. In 1974, Newcastle became part of the newly-created metropolitan county of Tyne and Wear. The local authority is Newcastle Ci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anomalous Diffusion
Anomalous diffusion is a diffusion process with a non-linear relationship between the mean squared displacement (MSD), \langle r^(\tau )\rangle , and time. This behavior is in stark contrast to Brownian motion, the typical diffusion process described by Albert Einstein and Marian Smoluchowski, where the MSD is linear in time (namely, \langle r^(\tau )\rangle =2dD\tau with ''d'' being the number of dimensions and ''D'' the diffusion coefficient). It has been found that equations describing normal diffusion are not capable of characterizing some complex diffusion processes, for instance, diffusion process in inhomogeneous or heterogeneous medium, e.g. porous media. Fractional diffusion equations were introduced in order to characterize anomalous diffusion phenomena. Examples of anomalous diffusion in nature have been observed in ultra-cold atoms, harmonic spring-mass systems, scalar mixing in the interstellar medium, telomeres in the nucleus of cells, ion channels in the plasm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Physics
Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics, known as physical mathematics. Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical parts of our world. Classical mechanics Applying the techniques of mathematical physics to classical mechanics typically involves the rigorous, abstract, and advanced reformulation of Newtonian mechanics in terms of Lagrangian mechanics and Hamiltonian mechanics (including both approaches in the presence of constraints). Both formulations are embodied in analytical mechanics and lead ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Durham College Of Science
The Colleges of Durham University are residential colleges that are the primary source of accommodation and support services for undergraduates and postgraduates at Durham University, as well as providing a focus for social, cultural and sporting life for their members, and offering bursaries and scholarships to students. They also provide funding and/or accommodation for some of the research posts in the University. All students at the University are required to be members of one of the colleges. Durham University has 17 colleges, of which University College is the oldest, founded in 1832. The newest college is South, founded in 2020. The last single-sex college, St Mary's, became mixed in 2005 with the admittance of male undergraduates. One college, Ustinov, admits only postgraduates. Colleges Durham operates a collegiate structure similar to that of the University of Oxford and the University of Cambridge, in that all colleges at Durham, being constituent colleges of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural History
Natural history is a domain of inquiry involving organisms, including animals, fungi, and plants, in their natural environment, leaning more towards observational than experimental methods of study. A person who studies natural history is called a naturalist or natural historian. Natural history encompasses scientific research but is not limited to it. It involves the systematic study of any category of natural objects or organisms, so while it dates from studies in the ancient Greco-Roman world and the mediaeval Arabic world, through to European Renaissance naturalists working in near isolation, today's natural history is a cross-discipline umbrella of many specialty sciences; e.g., geobiology has a strong multidisciplinary nature. Definitions Before 1900 The meaning of the English term "natural history" (a calque of the Latin ''historia naturalis'') has narrowed progressively with time, while, by contrast, the meaning of the related term "nature" has widened (see also ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
York
York is a cathedral city in North Yorkshire, England, with Roman Britain, Roman origins, sited at the confluence of the rivers River Ouse, Yorkshire, Ouse and River Foss, Foss. It has many historic buildings and other structures, such as a York Minster, minster, York Castle, castle and York city walls, city walls, all of which are Listed building, Grade I listed. It is the largest settlement and the administrative centre of the wider City of York district. It is located north-east of Leeds, south of Newcastle upon Tyne and north of London. York's built-up area had a recorded population of 141,685 at the 2021 United Kingdom census, 2021 census. The city was founded under the name of Eboracum in AD 71. It then became the capital of Britannia Inferior, a province of the Roman Empire, and was later the capital of the kingdoms of Deira, Northumbria and Jórvík, Scandinavian York. In the England in the Middle Ages, Middle Ages it became the Province of York, northern England ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boarding School
A boarding school is a school where pupils live within premises while being given formal instruction. The word "boarding" is used in the sense of "room and board", i.e. lodging and meals. They have existed for many centuries, and now extend across many countries. Their functioning, codes of conduct, and ethos vary greatly. Children in boarding schools study and live during the school year with their fellow students and possibly teachers or administrators. Some boarding schools also have day students who attend the institution during the day and return home in the evenings. Boarding school pupils are typically referred to as "boarders". Children may be sent for one to twelve years or more in boarding school, until the age of eighteen. There are several types of boarders depending on the intervals at which they visit their family. Full-term boarders visit their homes at the end of an academic year, semester boarders visit their homes at the end of an academic term, weekly boarders ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quaker
Quakers are people who belong to the Religious Society of Friends, a historically Protestant Christian set of denominations. Members refer to each other as Friends after in the Bible, and originally, others referred to them as Quakers because the founder of the movement, George Fox, told a judge to "quake before the authority of God". The Friends are generally united by a belief in each human's ability to be guided by the inward light to "make the witness of God" known to everyone. Quakers have traditionally professed a priesthood of all believers inspired by the First Epistle of Peter. They include those with evangelical, holiness, liberal, and traditional Quaker understandings of Christianity, as well as Nontheist Quakers. To differing extents, the Friends avoid creeds and hierarchical structures. In 2017, there were an estimated 377,557 adult Quakers, 49% of them in Africa followed by 22% in North America. Some 89% of Quakers worldwide belong to ''evangelical'' a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modified Richardson Iteration
Modified Richardson iteration is an iterative method for solving a system of linear equations. Richardson iteration was proposed by Lewis Fry Richardson in his work dated 1910. It is similar to the Jacobi and Gauss–Seidel method. We seek the solution to a set of linear equations, expressed in matrix terms as A x = b. The Richardson iteration is x^ = x^ + \omega \left( b - A x^ \right), where \omega is a scalar parameter that has to be chosen such that the sequence x^ converges. It is easy to see that the method has the correct fixed points, because if it converges, then x^ \approx x^ and x^ has to approximate a solution of A x = b. Convergence Subtracting the exact solution x, and introducing the notation for the error e^ = x^ - x, we get the equality for the errors e^ = e^ - \omega A e^ = \left(I - \omega A\right) e^. Thus, \left\, e^\right\, = \left\, \left(I - \omega A\right) e^\right\, \leq \left\, I - \omega A\right\, \left\, e^\right\, , for a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
System Of Linear Equations
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variable (math), variables. For example, : \begin 3x+2y-z=1\\ 2x-2y+4z=-2\\ -x+\fracy-z=0 \end is a system of three equations in the three variables . A ''Solution (mathematics), solution'' to a linear system is an assignment of values to the variables such that all the equations are simultaneously satisfied. In the example above, a solution is given by the Tuple, ordered triple (x,y,z)=(1,-2,-2), since it makes all three equations valid. Linear systems are a fundamental part of linear algebra, a subject used in most modern mathematics. Computational algorithms for finding the solutions are an important part of numerical linear algebra, and play a prominent role in engineering, physics, chemistry, computer science, and economics. A Nonlinear system, system of non-linear equations can often be Approximation, approximated by a linear system (see linea ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fractal
In mathematics, a fractal is a Shape, geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension. Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly smaller scales is called self-similarity, also known as expanding symmetry or unfolding symmetry; if this replication is exactly the same at every scale, as in the Menger sponge, the shape is called affine geometry, affine self-similar. Fractal geometry lies within the mathematical branch of measure theory. One way that fractals are different from finite geometric figures is how they Scaling (geometry), scale. Doubling the edge lengths of a filled polygon multiplies its area by four, which is two (the ratio of the new to the old side length) raised to the power of two (the conventional dimension of the filled polygon). ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pacifism
Pacifism is the opposition to war or violence. The word ''pacifism'' was coined by the French peace campaigner Émile Arnaud and adopted by other peace activists at the tenth Universal Peace Congress in Glasgow in 1901. A related term is ''ahimsa'' (to do no harm), which is a core philosophy in Hinduism, Buddhism, and Jainism. While modern connotations are recent, having been explicated since the 19th century, ancient references abound. In modern times, interest was revived by Leo Tolstoy in his late works, particularly in '' The Kingdom of God Is Within You''. Mahatma Gandhi propounded the practice of steadfast nonviolent opposition which he called " satyagraha", instrumental in its role in the Indian independence movement. Its effectiveness served as inspiration to Martin Luther King Jr., James Lawson, Mary and Charles Beard, James Bevel, Thích Nhất Hạnh,"Searching for the Enemy of Man", in Nhat Nanh, Ho Huu Tuong, Tam Ich, Bui Giang, Pham Cong Thien. ''Dialog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
