Preferential Attachment
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Preferential Attachment
A preferential attachment process is any of a class of processes in which some quantity, typically some form of wealth or credit, is distributed among a number of individuals or objects according to how much they already have, so that those who are already wealthy receive more than those who are not. "Preferential attachment" is only the most recent of many names that have been given to such processes. They are also referred to under the names Yule process, cumulative advantage, the rich get richer, and the Matthew effect. They are also related to Gibrat's law. The principal reason for scientific interest in preferential attachment is that it can, under suitable circumstances, generate power law distributions. If preferential attachment is non-linear, measured distributions may deviate from a power law. These mechanisms may generate distributions which are approximately power law over transient periods. Definition A preferential attachment process is a stochastic urn p ...
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Graph With Preferential Attachment
Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discrete mathematics *Graph of a function * Graph of a relation *Graph paper *Chart, a means of representing data (also called a graph) Computing *Graph (abstract data type), an abstract data type representing relations or connections *graph (Unix), Unix command-line utility *Conceptual graph, a model for knowledge representation and reasoning *Microsoft Graph, a Microsoft API developer platform that connects multiple services and devices Other uses * HMS ''Graph'', a submarine of the UK Royal Navy See also * Complex network *Graf *Graff (other) *Graph database *Grapheme, in linguistics *Graphemics *Graphic (other) *-graphy (suffix from the Greek for "describe," "write" or "draw") *List of information graphics software *Statis ...
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Long Tail
In statistics and business, a long tail of some distributions of numbers is the portion of the distribution having many occurrences far from the "head" or central part of the distribution. The distribution could involve popularities, random numbers of occurrences of events with various probabilities, etc. The term is often used loosely, with no definition or an arbitrary definition, but precise definitions are possible. In statistics, the term ''long-tailed distribution'' has a narrow technical meaning, and is a subtype of heavy-tailed distribution. Intuitively, a distribution is (right) long-tailed if, for any fixed amount, when a quantity exceeds a high level, it almost certainly exceeds it by at least that amount: large quantities are probably even larger. Note that there is no sense of ''the'' "long tail" of a distribution, but only the ''property'' of a distribution being long-tailed. In business, the term ''long tail'' is applied to rank-size distributions or rank-fr ...
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Lotka's Law
Lotka's law, named after Alfred J. Lotka, is one of a variety of special applications of Zipf's law. It describes the frequency of publication by authors in any given field. Definition Let X be the number of publications, Y be the number of authors with X publications, and k be a constant depending on the specific field. Lotka's law states that Y \propto X^. In Lotka's original publication, he claimed k=2. Subsequent research showed that k varies depending on the discipline. Equivalently, Lotka's law can be stated as Y' \propto X^, where Y' is the number of authors with ''at least'' X publications. Their equivalence can be proved by taking the derivative. Example Assume that n=2 in a discipline, then as the number of articles published increases, authors producing that many publications become less frequent. There are 1/4 as many authors publishing two articles within a specified time period as there are single-publication authors, 1/9 as many publishing three articles, ...
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Scale-free Network
A scale-free network is a network whose degree distribution follows a power law, at least asymptotically. That is, the fraction ''P''(''k'') of nodes in the network having ''k'' connections to other nodes goes for large values of ''k'' as : P(k) \ \sim \ k^\boldsymbol where \gamma is a parameter whose value is typically in the range 2<\gamma<3 (wherein the second moment ( scale parameter) of k^\boldsymbol is infinite but the first moment is finite), although occasionally it may lie outside these bounds. The name "scale-free" could be explained by the fact that some moments of the degree distribution are not defined, so that the network does not have a characteristic scale or "size". and the
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Derek J
''Fashion Queens'' is an American fashion-based talk show that aired on Bravo (American TV network), Bravo. The series premiered on March 17, 2013, with a three-week trial run. ''Fashion Queens'' is hosted by Bevy Smith, Derek J, and Miss Lawrence. Derek J and Miss Lawrence both made several appearances on ''The Real Housewives of Atlanta''. Following the series' three-week trial run in March 2013, the first season continued on April 14, 2013. The second season premiere on November 3, 2013, which coincided with the sixth season premiere of ''The Real Housewives of Atlanta''. '' Fashion Queens'' was filmed in New York City. In April 2014, Bravo renewed ''Fashion Queens'' for a third season, which premiered on November 9, 2014. On August 8, 2015, host Bevy Smith confirmed that the series had been cancelled. Segments * The Week in Fashion: Latest fashion news * Reading Room: The hosts dissect celebrities' fashion * Right or Ratchet: The hosts decide if celebrities' outfits are Right ...
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Herbert A
Herbert may refer to: People * Herbert (musician), a pseudonym of Matthew Herbert * Herbert (given name) * Herbert (surname) Places Antarctica * Herbert Mountains, Coats Land * Herbert Sound, Graham Land Australia * Herbert, Northern Territory, a rural locality * Herbert, South Australia. former government town * Division of Herbert, an electoral district in Queensland * Herbert River, a river in Queensland * County of Herbert, a cadastral unit in South Australia Canada * Herbert, Saskatchewan, Canada, a town * Herbert Road, St. Albert, Canada New Zealand * Herbert, New Zealand, a town * Mount Herbert (New Zealand) United States * Herbert, Illinois, an unincorporated community * Herbert, Michigan, a former settlement * Herbert Creek, a stream in South Dakota * Herbert Island, Alaska Arts, entertainment, and media Fictional entities * Herbert (Disney character) * Herbert Pocket, a character in the Charles Dickens novel ''Great Expectations'' * Herbert West ...
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Master Equation
In physics, chemistry, and related fields, master equations are used to describe the time evolution of a system that can be modeled as being in a probabilistic combination of states at any given time, and the switching between states is determined by a transition rate matrix. The equations are a set of differential equations – over time – of the probabilities that the system occupies each of the different states. The name was proposed in 1940: Introduction A master equation is a phenomenological set of first-order differential equations describing the time evolution of (usually) the probability of a system to occupy each one of a discrete set of states with regard to a continuous time variable ''t''. The most familiar form of a master equation is a matrix form: \frac = \mathbf\vec, where \vec is a column vector, and \mathbf is the matrix of connections. The way connections among states are made determines the dimension of the problem; it is either *a d-dimension ...
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New International Version
The New International Version (NIV) is a translation of the Bible into contemporary English. Published by Biblica, the complete NIV was released on October 27, 1978, with a minor revision in 1984 and a major revision in 2011. The NIV relies on recently published critical editions of the original Hebrew, Aramaic, and Greek texts. Biblica claims that "the NIV delivers the very best combination of accuracy and readability." As of March 2013, over 450 million printed copies of the translation had been distributed. The NIV is the best-selling translation in the United States. History Beginnings In 1955, businessman Howard Long was convinced of the need for a contemporary English translation of the Bible while sharing the gospel with a business associate. He was unhappy with the King James Version that he used to communicate the gospel and was frustrated with its archaic language. He thought, "Everywhere I go, in Canada, the U.S., anywhere, there are people who would like to re ...
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Bible (New International Version)/Matthew
The Bible is a collection of religious texts that are central to Christianity and Judaism, and esteemed in other Abrahamic religions such as Islam. The Bible is an anthology (a compilation of texts of a variety of forms) biblical languages, originally written in Biblical Hebrew, Hebrew, Aramaic, and Koine Greek. The texts include instructions, stories, poetry, prophecies, and other genres. The collection of materials accepted as part of the Bible by a particular religious tradition or community is called a biblical canon. Believers generally consider it to be a Biblical inspiration, product of divine inspiration, but the way they understand what that means and Biblical hermeneutics, interpret the text varies. The religious texts were compiled by different religious communities into various official collections. The earliest contained the first five books of the Bible, called the Torah in Hebrew language, Hebrew and the Pentateuch (meaning 'five books') in Greek. The second- ...
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