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Small World Phenomenon
The small-world experiment comprised several experiments conducted by Stanley Milgram and other researchers examining the average path length for social networks of people in the United States. The research was groundbreaking in that it suggested that human society is a small-world-type network characterized by short path-lengths. The experiments are often associated with the phrase "six degrees of separation", although Milgram did not use this term himself. Historical context of the small-world problem Guglielmo Marconi's conjectures based on his radio work in the early 20th century, which were articulated in his 1909 Nobel Prize address, may have inspired Hungarian author Frigyes Karinthy to write a challenge to find another person to whom he could not be connected through at most five people.Barabási, Albert-László . 2003. [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Six Degrees Of Separation
Six degrees of separation is the idea that all people are six or fewer social connections away from each other. As a result, a chain of "friend of a friend" statements can be made to connect any two people in a maximum of six steps. It is also known as the six handshakes rule. The concept was originally set out in a 1929 short story by Frigyes Karinthy, where a group of people play a game trying to connect any person in the world to themselves by a chain of five others. It was popularized in John Guare's 1990 play ''Six Degrees of Separation''. The idea is sometimes generalized to the average social distance being logarithmic in the size of the population. Early conceptions Shrinking world Theories on optimal design of cities, city traffic flows, neighborhoods, and demographics were in vogue after World War I. These conjectures were expanded in 1929 by Hungarian author Frigyes Karinthy, who published a volume of short stories titled ''Everything is Different.'' One of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monte Carlo Simulation
Monte Carlo methods, or Monte Carlo experiments, are a broad class of computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems that might be deterministic in principle. They are often used in physical and mathematical problems and are most useful when it is difficult or impossible to use other approaches. Monte Carlo methods are mainly used in three problem classes: optimization, numerical integration, and generating draws from a probability distribution. In physics-related problems, Monte Carlo methods are useful for simulating systems with many coupled degrees of freedom, such as fluids, disordered materials, strongly coupled solids, and cellular structures (see cellular Potts model, interacting particle systems, McKean–Vlasov processes, kinetic models of gases). Other examples include modeling phenomena with significant uncertainty in inputs such as the calculation of risk in b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shortest Path Problem
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized. The problem of finding the shortest path between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs, where the vertices correspond to intersections and the edges correspond to road segments, each weighted by the length of the segment. Definition The shortest path problem can be defined for graphs whether undirected, directed, or mixed. It is defined here for undirected graphs; for directed graphs the definition of path requires that consecutive vertices be connected by an appropriate directed edge. Two vertices are adjacent when they are both incident to a common edge. A path in an undirected graph is a sequence of vertices P = ( v_1, v_2, \ldots, v_n ) \in V \times V \times \cdots \times V such that v_i is adjacent to v_ for 1 \leq i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Survival Analysis
Survival analysis is a branch of statistics for analyzing the expected duration of time until one event occurs, such as death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering, duration analysis or duration modelling in economics, and event history analysis in sociology. Survival analysis attempts to answer certain questions, such as what is the proportion of a population which will survive past a certain time? Of those that survive, at what rate will they die or fail? Can multiple causes of death or failure be taken into account? How do particular circumstances or characteristics increase or decrease the probability of survival? To answer such questions, it is necessary to define "lifetime". In the case of biological survival, death is unambiguous, but for mechanical reliability, failure may not be well-defined, for there may well be mechanical systems in which failure is partial, a matter of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sharon, Massachusetts
Sharon is a New England town in Norfolk County, Massachusetts, United States. The population was 18,575 at the 2020 census. Sharon is part of Greater Boston, about southwest of downtown Boston, and is connected to both Boston and Providence by the Providence/Stoughton Line. History The Town of Sharon was first settled as part of the Massachusetts Bay Colony in 1637 and was deemed the 2nd precinct of Stoughton in 1740. It was established as the district of Stoughtonham on June 21, 1765, incorporated as the Town of Stoughtonham on August 23, 1775, and was named Sharon on February 25, 1783, after Israel's Sharon plain, due to its high level of forestation. Several towns in New England were given this name. Part of Stoughtonham went to the new town of Foxborough on June 10, 1776. During the American Revolution, the townspeople of Sharon made cannonballs and cannons for the Continental Army at a local foundry. In front of the Sharon Public Library stands a statue of Deborah S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wichita, Kansas
Wichita ( ) is the largest city in the U.S. state of Kansas and the county seat of Sedgwick County, Kansas, Sedgwick County. As of the 2020 United States census, 2020 census, the population of the city was 397,532. The Wichita metro area had a population of 647,610 in 2020. It is located in south-central Kansas on the Arkansas River. Wichita began as a trading post on the Chisholm Trail in the 1860s and was incorporated as a city in 1870. It became a destination for Cattle drives in the United States, cattle drives traveling north from Texas to Kansas railroads, earning it the nickname "Cowtown".Miner, Prof. Craig (Wichita State Univ. Dept. of History), ''Wichita: The Magic City'', Wichita Historical Museum Association, Wichita, KS, 1988Howell, Angela and Peg Vines, ''The Insider's Guide to Wichita'', Wichita Eagle & Beacon Publishing, Wichita, KS, 1995 Wyatt Earp served as a police officer in Wichita for around one year before going to Dodge City, Kansas, Dodge City. In the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Omaha, Nebraska
Omaha ( ) is the largest city in the U.S. state of Nebraska and the county seat of Douglas County. Omaha is in the Midwestern United States on the Missouri River, about north of the mouth of the Platte River. The nation's 39th-largest city, Omaha's 2020 census population was 486,051. Omaha is the anchor of the eight-county, bi-state Omaha-Council Bluffs metropolitan area. The Omaha Metropolitan Area is the 58th-largest in the United States, with a population of 967,604. The Omaha-Council Bluffs-Fremont, NE-IA Combined Statistical Area (CSA) totaled 1,004,771, according to 2020 estimates. Approximately 1.5 million people reside within the Greater Omaha area, within a radius of Downtown Omaha. It is ranked as a global city by the Globalization and World Cities Research Network, which in 2020 gave it "sufficiency" status. Omaha's pioneer period began in 1854, when the city was founded by speculators from neighboring Council Bluffs, Iowa. The city was founded along th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Guare
John Guare ( ;; born February 5, 1938) is an American playwright and screenwriter. He is best known as the author of ''The House of Blue Leaves'' and ''Six Degrees of Separation''. Early life He was raised in Jackson Heights, Queens.Druckman, Stephen"THEATER; In Guare's Art, Zero Degrees of Separation"''The New York Times'', April 11, 1999 In 1949 his father suffered a heart attack and subsequently moved the family to Ellenville, New York while he recovered. His father's relatives lived there, making it an idyllic experience for him. Guare did not regularly attend school in Ellenville because the school's daily practices were not in keeping with the recommendations of the Catholic Church, causing his father to suspect the school had communist leanings. Instead of attending school, Guare was assigned home study and took exams intermittently, which allowed him time to go to the movies and see all the hits of the time. This had a lasting influence on Guare and his career. He atte ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholars, including J. Robert Oppenheimer, Albert Einstein, Hermann Weyl, John von Neumann, and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research is never contracted or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Benoit Mandelbrot
Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born French-American mathematician and polymath with broad interests in the practical sciences, especially regarding what he labeled as "the art of roughness" of physical phenomena and "the uncontrolled element in life". He referred to himself as a "fractalist" and is recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness and self-similarity" in nature. In 1936, at the age of 11, Mandelbrot and his family emigrated from Warsaw, Poland, to France. After World War II ended, Mandelbrot studied mathematics, graduating from universities in Paris and in the United States and receiving a master's degree in aeronautics from the California Institute of Technology. He spent most of his career in both the United States and France, having dual French and American citizenship. In 1958, he began a 35-year career at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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