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Small World Experiment
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 network, 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. Mathematically it means that a person shaking hands with 30 people, and then those 30 shaking hands with 30 other people, would after repeating this six times allow every person in a population as large as the United States to have shaken hands (seven times for the whole world). The concept was originally set out in a 1929 short story by Frigyes Karinthy, in which a group of people play a game of 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 (play), Six Degrees of Separation''. The idea is sometimes generalized to the average Path (graph theory), social distance being logarithmic in the size of ... [...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. The name comes from the Monte Carlo Casino in Monaco, where the primary developer of the method, mathematician Stanisław Ulam, was inspired by his uncle's gambling habits. Monte Carlo methods are mainly used in three distinct problem classes: optimization, numerical integration, and generating draws from a probability distribution. They can also be used to model phenomena with significant uncertainty in inputs, such as calculating the risk of a nuclear power plant failure. Monte Carlo methods are often implemented using computer simulations, and they can provide approximate solutions to problems that are otherwise intractable or too complex to analyze mathematically. Monte Carlo methods are widely used in various ... [...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 or distance of each segment. Definition The shortest path problem can be defined for graphs whether undirected, directed, or mixed. The definition for undirected graphs states that every edge can be traversed in either direction. Directed graphs require 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 ... [...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, reliability analysis or reliability engineering 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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sharon, Massachusetts
Sharon is a 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 Sampson, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Boston, Massachusetts
Boston is the capital and most populous city in the Commonwealth (U.S. state), Commonwealth of Massachusetts in the United States. The city serves as the cultural and Financial centre, financial center of New England, a region of the Northeastern United States. It has an area of and a population of 675,647 as of the 2020 United States census, 2020 census, making it the third-largest city in the Northeastern United States after New York City and Philadelphia. The larger Greater Boston metropolitan statistical area has a population of 4.9 million as of 2023, making it the largest metropolitan area in New England and the Metropolitan statistical area, eleventh-largest in the United States. Boston was founded on Shawmut Peninsula in 1630 by English Puritans, Puritan settlers, who named the city after the market town of Boston, Lincolnshire in England. During the American Revolution and American Revolutionary War, Revolutionary War, Boston was home to several seminal events, incl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wichita, Kansas
Wichita ( ) is the List of cities in Kansas, most populous 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, and the Wichita metro area had a population of 647,610. It is located in south-central Kansas along 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, 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 In 1875, Wyatt Earp served as a police officer in Wichita for about one year before going to Dodge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Omaha, Nebraska
Omaha ( ) is the List of cities in Nebraska, most populous city in the U.S. state of Nebraska. It is located in the Midwestern United States along the Missouri River, about north of the mouth of the Platte River. The nation's List of United States cities by population, 41st-most-populous city, Omaha had a population of 486,051 at the 2020 United States census, 2020 census. The eight-county Omaha–Council Bluffs metropolitan area, which extends into Iowa, has approximately 1 million residents and is the Metropolitan statistical area#United States, 55th-largest metro area in the United States. Omaha is the county seat of Douglas County, Nebraska, Douglas County. Omaha's pioneer period began in 1854, when the city was founded by speculators from neighboring Council Bluffs, Iowa. The city was founded along the Missouri River, and a crossing called Lone Tree Ferry earned the city its nickname, the "Gateway to the West". Omaha introduced this new West to the world in 1898, when it ... [...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. H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Einstein, J. Robert Oppenheimer, Emmy Noether, Hermann Weyl, John von Neumann, Michael Walzer, Clifford Geertz 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 ... [...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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
