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Edward Routh
Edward John Routh (; 20 January 18317 June 1907) was an English mathematician, noted as the outstanding coach of students preparing for the Mathematical Tripos examination of the University of Cambridge in its heyday in the middle of the nineteenth century. He also did much to systematise the mathematical theory of mechanics and created several ideas critical to the development of modern control systems theory. Biography Early life Routh was born of an English father and a French-Canadian mother in Quebec, at that time the British colony of Lower Canada. His father's family could trace its history back to the Norman Conquest when it acquired land at Routh near Beverley, Yorkshire. His mother's family, the Taschereau family, was well-established in Quebec, tracing their ancestry back to the early days of the French colony. His parents were Sir Randolph Isham Routh (1782–1858) and his second wife, Marie Louise Taschereau (1810–1891). Sir Randolph was Commissary General ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quebec
Quebec is Canada's List of Canadian provinces and territories by area, largest province by area. Located in Central Canada, the province shares borders with the provinces of Ontario to the west, Newfoundland and Labrador to the northeast, New Brunswick to the southeast and a coastal border with the territory of Nunavut. In the south, it shares a border with the United States. Between 1534 and 1763, what is now Quebec was the List of French possessions and colonies, French colony of ''Canada (New France), Canada'' and was the most developed colony in New France. Following the Seven Years' War, ''Canada'' became a Territorial evolution of the British Empire#List of territories that were once a part of the British Empire, British colony, first as the Province of Quebec (1763–1791), Province of Quebec (1763–1791), then Lower Canada (1791–1841), and lastly part of the Province of Canada (1841–1867) as a result of the Lower Canada Rebellion. It was Canadian Confederation, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Routhian Mechanics
In classical mechanics, Routh's procedure or Routhian mechanics is a hybrid formulation of Lagrangian mechanics and Hamiltonian mechanics developed by Edward John Routh. Correspondingly, the Routhian is the function which replaces both the Lagrangian and Hamiltonian functions. Although Routhian mechanics is equivalent to Lagrangian mechanics and Hamiltonian mechanics, and introduces no new physics, it offers an alternative way to solve mechanical problems. Definitions The Routhian, like the Hamiltonian, can be obtained from a Legendre transform of the Lagrangian, and has a similar mathematical form to the Hamiltonian, but is not exactly the same. The difference between the Lagrangian, Hamiltonian, and Routhian functions are their variables. For a given set of generalized coordinates representing the degrees of freedom in the system, the Lagrangian is a function of the coordinates and velocities, while the Hamiltonian is a function of the coordinates and momenta. The Routhia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Routh, East Riding Of Yorkshire
Routh is a village and civil parish in the East Riding of Yorkshire, England. It is situated is approximately north-east of Beverley, lying on the A1035 road. According to the 2001 UK census, Routh parish had a population of 94. The parish church of All Saints is a Grade II* listed building. Governance Routh is represented locally by Tickton and Routh Parish Council a joint council with the adjacent parish of Tickton. while at county level is in the Beverley Rural ward of the East Riding of Yorkshire Council. At a parliamentary level it is part of the Beverley and Holderness constituency which is represented by Graham Stuart of the Conservative Party. References External links * Villages in the East Riding of Yorkshire Civil parishes in the East Riding of Yorkshire {{EastRiding-geo-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norman Conquest
The Norman Conquest (or the Conquest) was the 11th-century invasion and occupation of England by an army made up of thousands of Normans, Norman, French people, French, Flemish people, Flemish, and Bretons, Breton troops, all led by the Duke of Normandy, later styled William the Conqueror. William's claim to the English throne derived from his familial relationship with the childless Anglo-Saxon king Edward the Confessor, who may have encouraged William's hopes for the throne. Edward died in January 1066 and was succeeded by his brother-in-law Harold Godwinson. The Norwegian king Harald Hardrada invaded northern England in September 1066 and was victorious at the Battle of Fulford on 20 September, but Godwinson's army defeated and killed Hardrada at the Battle of Stamford Bridge on 25 September. Three days later on 28 September, William's invasion force of thousands of men and hundreds of ships landed at Pevensey in Sussex in southern England. Harold marched south to oppose ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lower Canada
The Province of Lower Canada () was a British colonization of the Americas, British colony on the lower Saint Lawrence River and the shores of the Gulf of Saint Lawrence established in 1791 and abolished in 1841. It covered the southern portion of the current Province of Quebec and the Labrador region of the current Province of Newfoundland and Labrador (until the Labrador region was transferred to Newfoundland in 1809). Lower Canada consisted of part of the former colony of Canada (New France), Canada of New France, conquered by Great Britain in the Seven Years' War ending in 1763 (also called the French and Indian War in the United States). Other parts of New France conquered by Britain became the Colonies of Nova Scotia, New Brunswick, and Prince Edward Island. The Province of Lower Canada was created by the ''Constitutional Act 1791'' from the partition of the British colony of the Province of Quebec (1763–1791), Province of Quebec (1763–1791) into the Province of Lower C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Control Theory
Control theory is a field of control engineering and applied mathematics that deals with the control system, control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the application of system inputs to drive the system to a desired state, while minimizing any ''delay'', ''overshoot'', or ''steady-state error'' and ensuring a level of control Stability theory, stability; often with the aim to achieve a degree of Optimal control, optimality. To do this, a controller with the requisite corrective behavior is required. This controller monitors the controlled process variable (PV), and compares it with the reference or Setpoint (control system), set point (SP). The difference between actual and desired value of the process variable, called the ''error'' signal, or SP-PV error, is applied as feedback to generate a control action to bring the controlled process variable to the same value as the set point. Other aspects ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mechanics
Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of an object's position relative to its environment. Theoretical expositions of this branch of physics has its origins in Ancient Greece, for instance, in the writings of Aristotle and Archimedes (see History of classical mechanics and Timeline of classical mechanics). During the early modern period, scientists such as Galileo Galilei, Johannes Kepler, Christiaan Huygens, and Isaac Newton laid the foundation for what is now known as classical mechanics. As a branch of classical physics, mechanics deals with bodies that are either at rest or are moving with velocities significantly less than the speed of light. It can also be defined as the physical science that deals with the motion of and forces on bodies not in the quantum realm. History ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Cambridge
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge Mathematical Tripos
The Mathematical Tripos is the mathematics course that is taught in the Faculty of Mathematics at the University of Cambridge. Origin In its classical nineteenth-century form, the tripos was a distinctive written examination of undergraduate students of the University of Cambridge. Prior to 1824, the Mathematical Tripos was formally known as the "Senate House Examination". From about 1780 to 1909, the "Old Tripos" was distinguished by a number of features, including the publication of an order of merit of successful candidates, and the difficulty of the mathematical problems set for solution. By way of example, in 1854, the Tripos consisted of 16 papers spread over eight days, totaling 44.5 hours. The total number of questions was 211. It was divided into two parts, with Part I (the first three days) covering more elementary topics. The actual marks for the exams were never published, but there is reference to an exam in the 1860s where, out of a total possible mark of 17,000, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adams Prize
The Adams Prize is a prize awarded each year by the Faculty of Mathematics at St John's College to a UK-based mathematician for distinguished research in mathematical sciences. The prize is named after the mathematician John Couch Adams and was endowed by members of St John's College and approved by the senate of the university in 1848, to commemorate Adams' role in the discovery of the planet Neptune. Originally open only to Cambridge graduates, the current stipulation is that the mathematician must reside in the UK and be under forty years of age. The Adams Prize is awarded in three parts: the first is paid directly to the candidate; another third is paid to the candidate's institution to fund research expenses; and the final third is paid on publication of a survey paper in the winner's field in a major mathematics journal. The prize has been awarded to many well-known mathematicians, including James Clerk Maxwell and Sir William Hodge. The first female recipient, in 2002, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smith's Prize
Smith's Prize was the name of each of two prizes awarded annually to two research students in mathematics and theoretical physics at the University of Cambridge from 1769. Following the reorganization in 1998, they are now awarded under the names Smith-Knight Prize and Rayleigh-Knight Prize. History The Smith Prize fund was founded by bequest of Robert Smith (mathematician), Robert Smith upon his death in 1768, having by his will left £3,500 of South Sea Company stock to the University. Every year two or more junior Bachelor of Arts students who had made the greatest progress in mathematics and natural philosophy were to be awarded a prize from the fund. The prize was awarded every year from 1769 to 1998 except 1917. From 1769 to 1885, the prize was awarded for the best performance in a series of examinations. In 1854 Sir George Stokes, 1st Baronet, George Stokes included an examination question on a particular theorem that William Thomson, 1st Baron Kelvin, William Thomson had ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
