|
One-third Hypothesis
The one-third hypothesis (OTH) is a sociodynamic idea—advanced by Hugo O. Engelmann—that asserts that a group's prominence increases as it approaches one-third of the population and diminishes when it exceeds or falls below one-third of the population. As the one-third hypothesis was stated originally by Hugo O. Engelmann in a letter to the ''American Sociologist'' in 1967: "...we would expect that the most persistent subgroups in any group would be those which approximate one-third or, by similar reasoning, a multiple of .e., a power ofone-third of the total group. Being the most persistent, these groups also should be the ones most significantly implicated in ongoing sociocultural transformation. This does not mean that these groups need to be dominant, but they play prominent roles."Hugo O. Engelmann. (1967). "Communication to the Editor." ''American Sociologist'', November. p. 21. The OTH involves two mathematical curves. One represents the likelihood that a subgroup of a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sociodynamic
Social dynamics (or sociodynamics) is the study of the behavior of groups that results from the interactions of individual group members as well to the study of the relationship between individual interactions and group level behaviors. Overview The field of social dynamics brings together ideas from economics, sociology, social psychology, and other disciplines, and is a sub-field of complex adaptive systems or complexity science. The fundamental assumption of the field is that individuals are influenced by one another's behavior. The field is closely related to system dynamics. Like system dynamics, social dynamics is concerned with changes over time and emphasizes the role of feedbacks. However, in social dynamics individual choices and interactions are typically viewed as the source of aggregate level behavior, while system dynamics posits that the structure of feedbacks and accumulations are responsible for system level dynamics. Research in the field typically takes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hugo O
Hugo or HUGO may refer to: Arts and entertainment * ''Hugo'' (film), a 2011 film directed by Martin Scorsese * Hugo Award, a science fiction and fantasy award named after Hugo Gernsback * Hugo (franchise), a children's media franchise based on a troll ** ''Hugo'' (game show), a television show that first ran from 1990 to 1995 ** ''Hugo'' (video game), several video games released between 1991 and 2000 * ''Hugo'' (stylised as ''hugo''), a 2022 album by British rapper Loyle Carner People and fictional characters * Victor Hugo, a French poet, novelist, and dramatist of the Romantic movement. * Hugo (name), including lists of people with Hugo as a given name or surname, as well as fictional characters * Hugo (musician), Thai-American actor and singer-songwriter Chulachak Chakrabongse (born 1981) Places in the United States * Hugo, Alabama, an unincorporated community * Hugo, Colorado, a Statutory Town * Hugo, Minnesota, a town * Hugo, Missouri, an unincorporated community * Hugo, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prominence
In topography, prominence (also referred to as autonomous height, relative height, and shoulder drop in US English, and drop or relative height in British English) measures the height of a mountain or hill's summit relative to the lowest contour line encircling it but containing no higher summit within it. It is a measure of the independence of a summit. A peak's ''key col'' (the highest col surrounding the peak) is a unique point on this contour line and the ''parent peak'' is some higher mountain, selected according to various criteria. Definitions The prominence of a peak may be defined as the least drop in height necessary in order to get from the summit to any higher terrain. This can be calculated for a given peak in the following way: for every path connecting the peak to higher terrain, find the lowest point on the path; the ''key col'' (or ''key saddle'', or ''linking col'', or ''link'') is defined as the highest of these points, along all connecting paths; the prom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Population
Population typically refers to the number of people in a single area, whether it be a city or town, region, country, continent, or the world. Governments typically quantify the size of the resident population within their jurisdiction using a census, a process of collecting, analysing, compiling, and publishing data regarding a population. Perspectives of various disciplines Social sciences In sociology and population geography, population refers to a group of human beings with some predefined criterion in common, such as location, race, ethnicity, nationality, or religion. Demography is a social science which entails the statistical study of populations. Ecology In ecology, a population is a group of organisms of the same species who inhabit the same particular geographical area and are capable of interbreeding. The area of a sexual population is the area where inter-breeding is possible between any pair within the area and more probable than cross-breeding with in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binomial Coefficient
In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers and is written \tbinom. It is the coefficient of the term in the polynomial expansion of the binomial power ; this coefficient can be computed by the multiplicative formula :\binom nk = \frac, which using factorial notation can be compactly expressed as :\binom = \frac. For example, the fourth power of is :\begin (1 + x)^4 &= \tbinom x^0 + \tbinom x^1 + \tbinom x^2 + \tbinom x^3 + \tbinom x^4 \\ &= 1 + 4x + 6 x^2 + 4x^3 + x^4, \end and the binomial coefficient \tbinom =\tfrac = \tfrac = 6 is the coefficient of the term. Arranging the numbers \tbinom, \tbinom, \ldots, \tbinom in successive rows for n=0,1,2,\ldots gives a triangular array called Pascal's triangle, satisfying the recurrence relation :\binom = \binom + \binom. The binomial coefficients occur in many areas of mathematics, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability
Probability is the branch of mathematics concerning numerical descriptions of how likely an Event (probability theory), event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th Ed, (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', (Vol 1), 3rd Ed, (1968), Wiley, . The higher the probability of an event, the more likely it is that the event will occur. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stirling's Approximation
In mathematics, Stirling's approximation (or Stirling's formula) is an approximation for factorials. It is a good approximation, leading to accurate results even for small values of n. It is named after James Stirling, though a related but less precise result was first stated by Abraham de Moivre. One way of stating the approximation involves the logarithm of the factorial: \ln(n!) = n\ln n - n +O(\ln n), where the big O notation means that, for all sufficiently large values of n, the difference between \ln(n!) and n\ln n-n will be at most proportional to the logarithm. In computer science applications such as the worst-case lower bound for comparison sorting, it is convenient to use instead the binary logarithm, giving the equivalent form \log_2 (n!) = n\log_2 n - n\log_2 e +O(\log_2 n). The error term in either base can be expressed more precisely as \tfrac12\log(2\pi n)+O(\tfrac1n), corresponding to an approximate formula for the factorial itself, n! \sim \sqrt\left(\frac\righ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Milwaukee
Milwaukee ( ), officially the City of Milwaukee, is both the most populous and most densely populated city in the U.S. state of Wisconsin and the county seat of Milwaukee County. With a population of 577,222 at the 2020 census, Milwaukee is the 31st largest city in the United States, the fifth-largest city in the Midwestern United States, and the second largest city on Lake Michigan's shore behind Chicago. It is the main cultural and economic center of the Milwaukee metropolitan area, the fourth-most densely populated metropolitan area in the Midwest. Milwaukee is considered a global city, categorized as "Gamma minus" by the Globalization and World Cities Research Network, with a regional GDP of over $102 billion in 2020. Today, Milwaukee is one of the most ethnically and culturally diverse cities in the U.S. However, it continues to be one of the most racially segregated, largely as a result of early-20th-century redlining. Its history was heavily influenced ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1967 Detroit Riot
The 1967 Detroit Riot, also known as the 12th Street Riot or Detroit Rebellion, was the bloodiest of the urban riots in the United States during the "Long, hot summer of 1967". Composed mainly of confrontations between Black residents and the Detroit Police Department, it began in the early morning hours of Sunday July 23, 1967, in Detroit, Michigan. The precipitating event was a police raid of an unlicensed, after-hours bar, known as a ''blind pig'', on the city's Near West Side. It exploded into one of the deadliest and most destructive riots in American history, lasting five days and surpassing the scale of Detroit's 1943 race riot 24 years earlier. Governor George W. Romney ordered the Michigan Army National Guard into Detroit to help end the disturbance. President Lyndon B. Johnson sent in the United States Army's 82nd and 101st Airborne divisions. The riot resulted in 43 deaths, 1,189 injured, over 7,200 arrests, and more than 400 buildings destroyed. The scale of the r ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Social Dynamics
Social dynamics (or sociodynamics) is the study of the behavior of groups that results from the interactions of individual group members as well to the study of the relationship between individual interactions and group level behaviors. Overview The field of social dynamics brings together ideas from economics, sociology, social psychology, and other disciplines, and is a sub-field of complex adaptive systems or complexity science. The fundamental assumption of the field is that individuals are influenced by one another's behavior. The field is closely related to system dynamics. Like system dynamics, social dynamics is concerned with changes over time and emphasizes the role of feedbacks. However, in social dynamics individual choices and interactions are typically viewed as the source of aggregate level behavior, while system dynamics posits that the structure of feedbacks and accumulations are responsible for system level dynamics. Research in the field typically takes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Critical Mass (sociodynamics)
In social dynamics, critical mass is a sufficient number of adopters of a new idea, technology or innovation in a social system so that the rate of adoption becomes self-sustaining and creates further growth. The point at which critical mass is achieved is sometimes referred to as a threshold within the threshold model of statistical modeling. The term critical mass is borrowed from nuclear physics and in that field, it refers to the amount of a substance needed to sustain a chain reaction. Within social sciences, critical mass has its roots in sociology and is often used to explain the conditions under which reciprocal behavior is started within collective groups, and how it becomes self-sustaining. Recent technology research in platform ecosystems shows that apart from the quantitative notion of a “sufficient number” critical mass is also influenced by qualitative properties such as reputation, interests, commitments, capabilities, goals, consensuses, and decisions, all of w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interaction Frequency
In sociology, interaction frequency is the total number of social interactions per unit time. Interactions, or what Georg Simmel in his pioneering work called Wechselwirkungen, are the basis for society itself, according to Herbert Blumer. Overview Interaction can be either direct or indirect. * Interaction is direct, Hugo O. Engelmann explained, when participants exchange roles. * It is indirect when roles cannot be exchanged. Face-to-face conversations, phone calls, and on-line chats are direct interactions. TV shows, radio programs, videos and books are forms of indirect interaction. In other words, interaction occurs when one person perceives the behavior of another, whether or not the other is present. For Dyad (sociology), dyads in small groups, direct interactions sum to n(n-1)/2, where n is the size of the population. Indirect interactions equal n(n-1). Indirect interactions, then, are roughly twice as likely as direct interactions. For large populations counting the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.svg "Click for more on -> Probability")
.svg "Click for more on -> Milwaukee")
