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Mathematical sociology

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Much of this theoretical work is linked to mathematical model building, especially after the late 1970s adoption of a graph theoretic representation of social information processing, as Berger (2000) describes in looking back upon the development of his program of research. In 1962 he and his collaborators explained model building by reference to the goal of the model builder, which could be explication of a concept in a theory, representation of a single recurrent social process, or a broad theory based on a theoretical construct, such as, respectively, the concept of balance in psychological and social structures, the process of conformity in an experimental situation, and stimulus sampling theory.
1476:: Since 1980, Jasso has treated problems of distributive justice with an original theory that uses mathematical methods. She has elaborated upon and applied this theory to a wide range of social phenomena. Her most general mathematical apparatus – with the theory of distributive justice as a special case—deals with any subjective comparison between some actual state and some reference level for it, e.g., a comparison of an actual reward with an expected reward. In her justice theory, she starts with a very simple premise, the justice evaluation function (the natural logarithm of the ratio of actual to just reward) and then derives numerous empirically testable implications. 1479:(9) Collaborative research and John Skvoretz. A major feature of modern science is collaborative research in which the distinctive skills of the participants combine to produce original research. Skvoretz, in addition to this other contributions, has been a frequent collaborator in a variety of theoretical research programs, often using mathematical expertise as well as skills in experimental design, statistical data analysis and simulation methods. Some examples are: (1) Collaborative work on theoretical, statistical and mathematical problems in biased net theory. (2) Collaborative contributions to Expectation States Theory. (3) Collaborative contributions to 67: 969:. There is, however, a special case where one of the two sub-networks is empty, which might occur in very small networks. In another model, ties have relative strengths. 'Acquaintanceship' can be viewed as a 'weak' tie and 'friendship' is represented as a strong tie. Like its uniform cousin discussed above, there is a concept of closure, called strong triadic closure. A graph satisfies strong triadic closure If A is strongly connected to B, and B is strongly connected to C, then A and C must have a tie (either weak or strong). 1111: 1043:. Rashevsky's models and as well as the model constructed by Simon raise a question: how can one connect such theoretical models to the data of sociology, which often take the form of surveys in which the results are expressed in the form of proportions of people believing or doing something. This suggests deriving the equations from assumptions about the chances of an individual changing state in a small interval of time, a procedure well known in the mathematics of 3976: 965:, this work produced the fundamental theorem of this theory. It says that if a network of interrelated positive and negative ties is balanced, e.g. as illustrated by the psychological principle that "my friend's enemy is my enemy", then it consists of two sub-networks such that each has positive ties among its nodes and there are only negative ties between nodes in distinct sub-networks. The imagery here is of a social system that splits into two 1182:(JMS). Several trends stand out: the further development of formal theories that explain experimental data dealing with small group processes, the continuing interest in structural balance as a major mathematical and theoretical idea, the interpenetration of mathematical models oriented to theory and innovative quantitative techniques relating to methodology, the use of computer simulations to study problems in social complexity, interest in 4026: 863: 4012: 4000: 1469:
of a role relationship in which fundamental sentiments associated with each role guide the process of immediate interaction. A higher level of the control process can be activated in which the definition of the situation is transformed. This research program comprises several of the key chapters in a 2006 volume of contributions to control systems theory (in the sense of Powers 1975 ) in sociology.
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sociologists drew upon Coleman's formulation of a general template for micro-macro transition to gain leverage on the continuation of topics central to his and the discipline's explanatory focus on a variety of macrosocial phenomena in which rational choice simplified the micro level in the interest of combining individual actions to account for macro outcomes of social processes.
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mathematical sociology, the preferred style is encapsulated in the phrase "constructing a mathematical model." This means making specified assumptions about some social phenomenon, expressing them in formal mathematics, and providing an empirical interpretation for the ideas. It also means deducing properties of the model and comparing these with relevant empirical data.
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biased net model. Later in the 1960s, Stanley Milgram described the small world problem and undertook a field experiment dealing with it. A highly fertile idea was suggested and applied by Mark Granovetter in which he drew upon Rapoport's 1961 paper to suggest and apply a distinction between weak and strong ties. The key idea was that there was "strength" in weak ties.
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control mechanism in which immediate feelings and compared with fundamental sentiments in such a way as to generate an effort to bring immediate feelings in a situation into correspondence with sentiments. In the simplest models, each person in an interactive pair, is represented in terms of one side
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has been one of Land's favorite outlets for the publication of papers that often lie in the intersection of quantitative methodology and mathematical sociology. Two of his theoretical papers appeared early in this journal: “Mathematical Formalization of Durkheim's Theory of Division of Labor” (1970)
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and Thomas J. Fararo: Many of this sociologist's contributions have been devoted to bringing mathematical thinking into greater contact with sociological theory. He organized a symposium attended by sociological theorists in which formal theorists delivered papers that were subsequently published in
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as modifiers of outcomes and doing so such that the generalized theory captures the original more self-oriented theory as a special case, as point emphasized in a later analysis of the theory. The rationality presupposition of the theory led to debates among sociological theorists. Nevertheless, many
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in Social Networks: Conceptual Clarification.” In turn, the mathematical concept defined in that paper led to further elaborations of the ideas, to experimental tests, and to numerous applications in empirical studies. He is the author of a study of the history and sociology of the field of social
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led to the use of mathematical graph theory as a way of representing and analyzing social information processing in self-other interactions. Berger and Zelditch also advanced work in formal theorizing and mathematical model building as early as 1962 with a collaborative expository analysis of types
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and his colleagues initiated such a program in which the central idea is the use of the theoretical concept "expectation state" to construct theoretical models to explain interpersonal processes, e.g., those linking external status in society to differential influence in local group decision-making.
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in which the nodes are persons and the links are acquaintanceship. During the late 1940s, formulas were derived that connected local parameters such as closure of contacts – if A is linked to both B and C, then there is a greater than chance probability that B and C are linked to each other – to the
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Thus, topics from the earliest days, like balance and network models, continue to be of contemporary interest. The formal techniques employed remain many of the standard and well-known methods of mathematics: differential equations, stochastic processes and game theory. Newer tools like agent-based
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In regard to Rapoport's random and biased net theory, his 1961 study of a large sociogram, co-authored with Horvath turned out to become a very influential paper. There was early evidence of this influence. In 1964, Thomas Fararo and a co-author analyzed another large friendship sociogram using a
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is the best-known contribution of this subfield to sociology as a whole and to the scientific community at large. The models typically used in mathematical sociology allow sociologists to understand how predictable local interactions are and they are often able to elicit global patterns of social
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to construct social theories. Mathematical sociology aims to take sociological theory and to express it in mathematical terms. The benefits of this approach include increased clarity and the ability to use mathematics to derive implications of a theory that cannot be arrived at intuitively. In
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a journal devoted to social structural analysis, very often employ mathematical models and related structural data analyses. In addition – importantly indicating the penetration of mathematical model building into sociological research – the major comprehensive journals in sociology, especially
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and Joseph Berger: Under Berger's intellectual and organizational leadership, Expectation States Theory branched out into a large number of specific programs of research on specific problems, each treated in terms of the master concept of expectation states. He and his colleague and frequent
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was the major theoretical work of a career that spanned the period from 1950s to 1990s and included many other research-based contributions. The Foundation book combined accessible examples of how rational choice theory could function in the analysis of such sociological topics as authority,
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The generations of mathematical sociologists that followed Rapoport, Simon, Harary, Coleman, White and Berger, including those entering the field in the 1960s such as Thomas Fararo, Philip Bonacich, and Tom Mayer, among others, drew upon their work in a variety of ways.
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Meanwhile, structural analysis of the type indicated earlier received a further extension to social networks based on institutionalized social relations, notably those of kinship. The linkage of mathematics and sociology here involved abstract algebra, in particular,
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of models. Berger and Zelditch stimulated advances in other theoretical research programs by providing outlets for the publication of new work, culminating in a 2002 edited volume that includes a chapter that presents an authoritative overview of
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models (Coleman, 1990). This argument is similar to viewpoints expressed by other sociologists in their efforts to use rational choice theory in sociological analysis although such efforts have met with substantive and philosophical criticisms.
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Mathematical sociology textbooks cover a variety of models, usually explaining the required mathematical background before discussing important work in the literature (Fararo 1973, Leik and Meeker 1975, Bonacich and Lu 2012). An earlier text by
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Mathematical sociology remains a small subfield within the discipline, but it has succeeded in spawning a number of other subfields which share its goals of formally modeling social life. The foremost of these fields is
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It rapidly became a major outlet for original research papers that used mathematical techniques to analyze network data. The journal also publishes conceptual and theoretical contributions, including his paper
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has been set out in detail in a recent monograph. White's later contributions include a structuralist approach to markets and, in 1992, a general theoretical framework, later appearing in a revised edition.
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In these two developments we have mathematical models bearing upon the analysis of structure. Other early influential developments in mathematical sociology pertained to process. For instance, in 1952
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which start from a body of social relational data to produce analytical results using these procedures and concepts. These ideas and methods were developed in collaboration with his former students
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The emergence of mathematical models in the social sciences was part of the zeitgeist in the 1940s and 1950s in which a variety of new interdisciplinary scientific innovations occurred, such as
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not only produced work of their own but created a doctoral program at Stanford University that led to an enormous outpouring of research by notable former students, including
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Skvoretz, John; Mayhew, Bruce (1988). "The structure of stratified systems and the structure of mobility: a first approximation to a structural theory of vertical mobility".
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by constructing a model consisting of a deterministic system of differential equations. A formal study of the system led to theorems about the dynamics and the implied
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and advanced statistical methods. The latter subfield also makes use of the vast new data sets on social activity generated by social interaction on the internet.
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in a structuralist research program. From the early 1970s, Skvoretz has been one of the most prolific of contributors to the advance of mathematical sociology.
1412:: Kenneth Land has been on the frontier of quantitative methodology in sociology as well as formal theoretical model building. The influential yearly volume 1283: 4441: 1161:
One important indicator of the significance of mathematical sociology is that the general interest journals in the field, including such central journals as
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It was the origination of a research program that has included his further theoretical and empirical studies and those of other sociologists, such as
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and “Formal Theory” (1971). His decades-long research program includes contributions relating to numerous special topics and methods, including
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if the product of the signs of all relations in every cycle (links in every graph cycle) is positive. Through formalization by mathematician
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Skvoretz, John; Fararo, Thomas J; Agneessens, F (2004). "Advances in biased net theory:Definitions, derivations, and estimations".
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Freeman, Linton C; Roeder, Douglas; Mulholland, Robert (1979–1980). "Centrality in social networks II. Experimental results".
1977:, & Faust, K.. Social Network Analysis: Methods and Applications. New York and Cambridge, ENG: Cambridge University Press. 1490:
The above discussion could be expanded to include many other programs and individuals including European sociologists such as
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models used in computer simulation studies are prominently represented. Perennial substantive problems still drive research:
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2000. Through collaborations with students and colleagues his own theoretical research program dealt with such topics as
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model for mobility in and across organizations. His very influential other work includes the operational concepts of
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Skvoretz, John; Willer, Dave (1993). "Exclusion and power: a test of four theories of power in exchange networks".
1702: 1169: 281: 4365: 4125: 4016: 3897: 3820: 3522: 1717: 581: 366: 117: 3203: 1437:. Thus Land brings to these fields the skills of a statistician, a mathematician and a sociologist, combined. 1233:, Coleman continued to make contributions to social theory and mathematical model building and his 1990 volume, 4292: 3280: 4876: 4297: 4190: 3432: 2784:
Skvoretz, John; Fararo, Thomas J (1996). "Status and participation in task groups: A dynamic network model".
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Some programs of research in sociology employ experimental methods to study social interaction processes.
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In 1954, a critical expository analysis of Rashevsky's social behavior models was written by sociologist
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Kossinets, Gueorgi; Watts, Duncan J (2006). "An empirical analysis of an evolving social network".
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Skvoretz, John (2000). "Looking backwards into the future: Mathematical sociology then and now".
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Coleman, James S (1954). "An expository analysis of some of Rashevsky's social behavior models".
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Travers, Jeffrey; Milgram, Stanley (1969). "An experimental study of the small world problem".
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Mathematical Theory of Human Relations: An Approach to Mathematical Biology of Social Phenomena
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and the problem of emergence, and ever-increasing research on networks of social relations.
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Nicolas Rashevsky.: 1969, Outline of a Unified Approach to Physics, Biology and Sociology.,
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Rapoport, Anatol. 1983. Mathematical Models in the Social and Behavioral Sciences. Wiley.
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New Directions in Contemporary Sociological Theory Edited by J Berger and M Zelditch Jr
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Hummon, Norman P; Fararo, Thomas J (1995). "The emergence of computational sociology".
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field of research concerned with the use of mathematics within sociological research.
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Home Page of Mathematical Sociology Section of the American Sociological Association
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Rapoport, Anatol. (1957). "Contributions to the Theory of Random and Biased Nets."
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Bartos, Otomar. 1967. "Simple Models of Group Behavior." Columbia University Press.
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Nicolas Rashevsky.: 1965, The Representation of Organisms in Terms of Predicates,
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Berger, Joseph, Bernard P. Cohen, J. Laurie Snell, and Morris Zelditch, Jr. 1962.
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Berger, Joseph; Cohen, Bernard P.; Snell, J. Laurie; Zelditch Jr, Morris (1962).
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In other work, Coleman employed mathematical ideas drawn from economics, such as
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The development of social network analysis: a study in the sociology of science
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Editor. Mathematical Ideas and Sociological Theory: Current State and Prospects
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Berger, Joseph; Cohen, Bernard P; Snell, J Laurie; Zelditch Jr, Morris (1962).
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Hummon, Norman P; Fararo, Thomas J (1995). "Actors and networks as objects".
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Fararo, Thomas J; Doreian, Patrick (1984). "Tripartite structural analysis".
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More recent trends in mathematical sociology are evident in contributions to
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The section's other categories of awards and their recipients are listed at
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Simon, Herbert A. 1952. "A Formal Theory of Interaction in Social Groups."
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The Meaning of General Theoretical Sociology: Tradition and Formalization.
2000: 1387:: In the early 1960s Freeman directed a sophisticated empirical study of 4789: 4705: 3830: 3747: 3712: 3682: 3387: 2568:
The Meaning of General Theoretical Sociology: Tradition and Formalization
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Mathematical Thinking in the Social Sciences Edited by Paul F. Lazarsfeld
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Rapoport, Anatol; Horvath, N J (1961). "A study of a large sociogram".
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and mathematical model building in the social and behavioral sciences.
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The Unreasonable Effectiveness of Mathematics in the Natural Sciences
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of the bridge, with radial members to tie the tangents together and
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Understanding Events: Affect and the Construction of Social Action.
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Jasso, Guillermina (1980). "A new theory of distributive justice".
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Mathematical Biophysics:Physico-Mathematical Foundations of Biology
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in 2002 initiated awards for contributions to the field, including
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Understanding Events: Affect and the Construction of Social Action.
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and, for analytical reasons, approximate such action by the use of
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Purpose, Meaning and Action: Control Systems Theories in Sociology
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European Society for Mathematical and Theoretical Biology (ESMTB)
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Fararo, Thomas J. (November 2000). "Symposium on Formal Theory".
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regularly publish articles featuring mathematical formulations.
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Chains of Opportunity: System Models of Mobility in Organization
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European Community on Computational Methods in Applied Sciences
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Rosen, Robert. 1972. "Tribute to Nicolas Rashevsky 1899-1972."
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Doreian, Patrick; Batagelj, Vladimir; Ferligoj, Anuska (2004).
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produced a mathematical formalization of a published theory of
2985:. 2004. Generalized Blockmodeling. Cambridge University Press. 1214:
Many of the developments in mathematical sociology, including
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White, Harrison C. 1963. An Anatomy of Kinship. Prentice-Hall
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International Council for Industrial and Applied Mathematics
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The James S. Coleman Distinguished Career Achievement Award.
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and probabilistic approach to the characterization of large
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Jasso, Gullermina (2002). "Seven secrets of doing theory".
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Identity and Control: A Structural Theory of Social Action
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Raub, Werner; Buskens, Vincent; Van Assen, Marcel (2011).
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such as animosity among persons? To tackle this problem,
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Markets from Networks: Socioeconomic Models of Production
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Edling, Christofer R. 2002. "Mathematics in Sociology,"
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Theory and Formalization: Some Reflections on Experience
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Milgram, Stanley (May 1967). "The small world problem".
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Granovetter, Mark (1973). "The Strength of Weak Ties".
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Editors. Rational Choice Theory: Advocacy and Critique
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Rational Choice Theory: Advocacy and Critique. Editors
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Numerical methods for ordinary differential equations
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Journal of Artificial Societies and Social Simulation
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Société de Mathématiques Appliquées et Industrielles
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Japan Society for Industrial and Applied Mathematics
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Numerical methods for partial differential equations
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Identity and Control: A Structural Theory of Action.
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Generating Images of Stratification: A Formal Theory
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origins and consequences, segregation, cooperation,
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the structure, making it rigid and self-supporting.
26:, or officially Wooden Bridge, is an arch bridge in 4634: 3130:
Identity and Control: How Social Formations Emerge.
1501: 3102:Social Network Analysis: Methods and Applications. 2951:New Directions in Contemporary Sociological Theory 2646: 2565: 2390:New Directions in Contemporary Sociological Theory 2370: 2326: 2160:. London, UK: Routledge. Taylor and Francis Group. 2123: 1842: 1823:Cartwright, Dorwin & Harary, Frank. (1956). " 1618:Computational and Mathematical Organization Theory 3038:An Introduction to Models in the Social Sciences. 2387: 1332:as a program of cumulative research dealing with 4868: 2644: 1862:Editors. Readings in Mathematical Social Science 1229:and James S. Coleman: After his 1964 pioneering 2944:Types of Formalization in Small Group Research. 2333:. Princeton, N.J.: Princeton University Press. 2289:. Cambridge, U.K.: Cambridge University Press. 1986: 1859: 4806:Society for Industrial and Applied Mathematics 2863: 2818: 2783: 2358:. Princeton, N.J.: Princeton University Press. 2314:. Princeton, N.J.: Princeton University Press. 2051: 2021: 1907: 4057: 3229: 3132:2nd Ed. (Revised) Princeton University Press. 3083:Leik, Robert K. and Barbara F. Meeker. 1975. 3043:Leik, Robert K. and Barbara F. Meeker. 1975. 2949:Berger, Joseph and Morris Zelditch Jr. 2002. 2572:. Cambridge, UK: Cambridge University Press. 2467: 2204:Coleman, James S.; Fararo, Thomas J. (1992). 2203: 1950: 1659:, based on a massive expansion of the premise 887: 4624:Supersymmetric theory of stochastic dynamics 2521: 2494: 2452: 2388:Berger, Joseph; Zelditch Jr, Morris (2002). 1050:Coleman embodied this idea in his 1964 book 34:. The arrangement of timbers is a series of 3450: 3017:The Development of Social Network Analysis. 3003:Mathematical Ideas and Sociological Theory. 2086: 2022:Fararo, Thomas J; Sunshine, Morris (1964). 1951:Coleman, James S; Fararo, Thomas J (1992). 1784:* Nicolas Rashevsky.: 1947/1949 (2nd ed.). 1008: 4064: 4050: 3236: 3222: 2965:An Introduction to Mathematical Sociology. 1860:Lazarsfeld, Paul F; Henry, Neil W (1966). 1506:The Mathematical Sociology section of The 894: 880: 65: 2832: 2645:McClelland, Kent; Fararo, Thomas (2006). 2606: 2236: 1827:: A Generalization of Heider's Theory." 1529:, University of California, Santa Barbara 938:global network property of connectivity. 3209:Mathematical Sociology Section Home Page 2890: 2453:Fararo, Thomas J; Kosaka, Kenji (2003). 1550:, University of California, Los Angeles. 18: 3143:John Skvoretz; Thomas J Fararo (1952). 2629: 2392:. Lanham, MD: Rowman & Littlefield. 2262:The General Sociology of Harrison White 2036: 1892: 1797:Nicolas Rashevsky. 1938/1948 (2nd ed.). 1034: 4869: 2958:Introduction to Mathematical Sociology 2673: 2653:. New York, N.Y.: Palgrave Macmillan. 2563: 2548: 2417: 2402: 2170: 1849:. New York: Harcourt, Brace and World. 1840: 1745: 1472:(8) "Distributive Justice Theory" and 1391:. In 1978 he established the journal 1270:s which set out and applied to data a 1231:Introduction to Mathematical Sociology 1052:Introduction to Mathematical Sociology 1021:research, mathematical sociology uses 925:, and subsequently in the late 1940s, 4045: 3217: 3036:Lave, Charles and James March. 1975. 2741: 2688: 2353: 2324: 2309: 2155: 2140: 1602: 1598:ASA Section on Mathematical Sociology 1296:theory and application of blockmodels 1179:The Journal of Mathematical Sociology 3999: 3193:The Society for Mathematical Biology 2143:Social Network Analysis. 4th Edition 1764:10.1146/annurev.soc.28.110601.140942 1323:. Collaboration with mathematician 1209: 1105: 4011: 3199:Bulletin of Mathematical Biophysics 3065:Bulletin of Mathematical Biophysics 3055:Bulletin of Mathematical Biophysics 2676:Behavior: The Control of Perception 1812:Bulletin of Mathematical Biophysics 1788:. Bloomington, ID: Principia Press. 1578:, University of California, Irvine. 1358:subjective images of stratification 1101: 16:Interdisciplinary field of research 13: 4073:Industrial and applied mathematics 2998:Wiley. Reprinted by Krieger, 1978. 2922: 2634:. North Charleston, SC: BookSurge. 2407:. New York, NY: Gordon and Breach. 2179:. Westport, CT: Praeger. pp.  14: 4893: 4303:Stochastic differential equations 3136: 2866:Journal of Mathematical Sociology 2723: 2497:Journal of Mathematical Sociology 2225:Journal of Mathematical Sociology 1641:The American Sociological Review, 1637:The American Journal of Sociology 1614:Journal of Mathematical Sociology 1508:American Sociological Association 1252:interpersonal sentiment relations 1164:The American Journal of Sociology 4619:Supersymmetric quantum mechanics 4024: 4010: 3998: 3975: 3974: 2956:Bonacich, Philip and Philip Lu. 2024:A Study of Biased Friendship Net 1703:Society for Mathematical Biology 1502:Awards in mathematical sociology 1383:(5) Social Network Analysis and 1170:The American Sociological Review 1109: 941:Moreover, acquaintanceship is a 861: 4501:Stochastic variational calculus 4293:Ordinary differential equations 3075:Progress in Theoretical Biology 2884: 2857: 2812: 2777: 2750: 2735: 2717: 2682: 2667: 2638: 2623: 2586: 2557: 2542: 2515: 2488: 2461: 2446: 2411: 2396: 2381: 2377:. Boston, MA: Houghton Mifflin. 2362: 2347: 2318: 2303: 2278: 2253: 2212: 2197: 2164: 2149: 2134: 2130:. Boston, MA: Houghton Mifflin. 2115: 2080: 2045: 2030: 2015: 1980: 1968: 1959: 1944: 1901: 447:Peace, war, and social conflict 4298:Partial differential equations 4171:Arbitrary-precision arithmetic 1886: 1868: 1853: 1834: 1817: 1804: 1791: 1778: 1746:Edling, Christofer R. (2002). 1739: 1557:, University of South Florida. 1366:tripartite structural analysis 1: 4186:Interactive geometry software 3243: 2972:Foundations of Social Theory. 2960:. Princeton University Press. 2878:10.1080/0022250X.1988.9990033 2786:American Journal of Sociology 2509:10.1080/0022250X.1995.9990155 2089:American Journal of Sociology 1733: 1003: 921:Starting in the early 1940s, 3092:American Sociological Review 2821:American Sociological Review 2771:10.1016/j.socnet.2004.01.005 2691:American Sociological Review 2617:10.1016/0378-8733(79)90002-9 2536:10.1016/0378-8733(94)00245-6 2482:10.1016/0378-8733(84)90015-7 2259: 2238:10.1080/0022250X.2010.532263 1235:Foundations of Social Theory 957:. A signed graph is called 7: 4238:Computational number theory 4201:Numerical-analysis software 3125:Princeton University Press. 3104:Cambridge University Press. 3100:and Katherine Faust. 1994. 3031:Quantitative Sociodynamics. 3026:Cambridge University Press. 3012:Cambridge University Press. 2990:Annual Review of Sociology. 2354:White, Harrison C. (2008). 2325:White, Harrison C. (1992). 2310:White, Harrison C. (2002). 1897:(New York: The Free Press). 1646: 1622:Journal of social structure 1585:, University of Pittsburgh. 10: 4898: 3898:Human environmental impact 2630:Freeman, Linton C (2004). 2403:Fararo, Thomas J. (1984). 2145:. Thousand Oaks, CA: Sage. 1752:Annual Review of Sociology 1748:"Mathematics in Sociology" 1352:(both with former student 1059:general equilibrium theory 916: 118:Human environmental impact 4836: 4798: 4782: 4744: 4696: 4644:Algebra of physical space 4509: 4467: 4261: 4223: 4111:Automated theorem proving 4079: 3971: 3874: 3801: 3610: 3367: 3317: 3279: 3251: 3118:Harvard University Press. 3107:White, Harrison C. 1963. 3015:Freeman, Linton C. 2004. 2974:Harvard University Press. 2564:Fararo, Thomas J (1989). 2287:Generalized Blockmodeling 2171:Fararo, Thomas J (2001). 1955:. Newbury Park, CA: Sage. 1841:Homans, George C (1950). 1483:. (4) Collaboration with 1389:community power structure 1330:Expectation states theory 1304:Expectation states theory 4437:Numerical linear algebra 3337:Structural functionalism 3145:"Mathematical sociology" 2994:Fararo, Thomas J. 1973. 2963:Coleman, James S. 1964. 2674:Powers, William (1975). 2553:. Westport, CT: Praeger. 2156:Clark, Jon, ed. (1996). 1427:mathematical criminology 1425:, stochastic processes, 1414:Sociological Methodology 1406:Quantitative Methodology 1206:, power, and much more. 1009:Mathematics in sociology 929:and others, developed a 212:Structural functionalism 4176:Finite element analysis 4126:Constraint satisfaction 3907:Industrial revolutions 3357:Symbolic interactionism 3085:Mathematical Sociology. 3045:Mathematical Sociology. 2996:Mathematical Sociology. 2953:Rowman and Littlefield. 2931:Berger, Joseph. 2000. " 2905:10.1111/0735-2751.00117 2726:"Curriculum Vitae 2018" 2678:. Chicago, IL.: Aldine. 2549:Fararo, Thomas (2001). 2432:10.1111/0735-2751.00112 1922:10.1126/science.1116869 1673:Computational sociology 1536:, University of Arizona 1374:computational sociology 1156:artificial intelligence 1148:computational sociology 1144:social network analysis 1028:Social network analysis 232:Symbolic interactionism 127:Industrial revolutions 4731:Mathematical economics 4405:Multivariable calculus 4288:Differential equations 4131:Constraint programming 4121:Computational geometry 3347:Social constructionism 3116:Chains of Opportunity. 3109:An Anatomy of Kinship. 3022:Heise, David R. 1979. 2373:Types of Formalization 2260:Azarian, Reza (2003). 2126:Types of Formalization 1592:, Columbia University. 1346:macrostructural theory 1280:structural equivalence 1260:Structuralism (Formal) 1227:Rational Choice Theory 907:Mathematical sociology 222:Social constructionism 47: 4684:Supersymmetry algebra 4669:Representation theory 4664:Renormalization group 4310:Differential geometry 4191:Optimization software 4163:Mathematical software 3952:Social stratification 3836:Conversation analysis 3393:Cultural anthropology 3383:Comparative sociology 3309:Sociological practice 3029:Helbing, Dirk. 1995. 3001:_____. 1984. Editor. 2551:Social Action Systems 2457:. New York: Springer. 2175:Social Action Systems 2001:10.1002/bs.3830060402 1564:, Indiana University. 1522:, New York University 1442:Affect Control Theory 1360:(with former student 1350:E-state structuralism 1341:Theoretical Sociology 1339:(4) Formalization in 597:Conversation analysis 172:Social stratification 22: 4877:Sociology of science 4736:Mathematical finance 4721:Social choice theory 4636:Algebraic structures 4585:in quantum mechanics 4521:Analytical mechanics 4487:Stochastic processes 4459:Variational calculus 4271:Approximation theory 4196:Statistical software 3403:Historical sociology 2724:Jasso, Guillermina. 2356:Identity and Control 2141:Scott, John (2017). 1829:Psychological Review 1713:James Samuel Coleman 1152:computer simulations 1045:stochastic processes 1035:Further developments 4882:Applied mathematics 4711:Operations research 4580:Perturbation theory 4378:Multilinear algebra 4349:Functional analysis 4206:Numerical libraries 4138:Computational logic 3962:Social cycle theory 3423:Social anthropology 3413:Political sociology 3304:Sociological theory 3164:1952Natur.170....3G 2937:Sociological Theory 2893:Sociological Theory 2420:Sociological Theory 1718:James D. Montgomery 1184:micro–macro linkage 182:Social cycle theory 53:Part of a series on 24:Mathematical Bridge 4848:Mathematics portal 4745:Other applications 4469:Probability theory 4452:Validated numerics 4432:Numerical analysis 4325:Geometric analysis 4315:Differential forms 4148:Information theory 4031:Society portal 3932:Social environment 3558:race and ethnicity 3408:Industrial society 3098:Wasserman, Stanley 3005:Gordon and Breach. 2977:Doreian, Patrick, 1989:Behavioral Science 1825:Structural Balance 1708:Interpersonal ties 1603:Texts and journals 1571:, Yale University. 1543:, Duke University. 1435:social forecasting 1401:network analysis. 1309:Morris Zelditch Jr 1121:. You can help by 990:information theory 983:equilibrium states 868:Society portal 491:History of science 472:Race and ethnicity 152:Social environment 48: 38:that describe the 4864: 4863: 4698:Decision sciences 4692: 4691: 4674:Spacetime algebra 4366:Harmonic analysis 4332:Dynamical systems 4276:Clifford analysis 4253:Discrete geometry 4219: 4218: 4039: 4038: 3927:Social complexity 3859:Social experiment 3606: 3605: 3433:Social psychology 3033:Kluwer Academics. 2979:Vladimir Batagelj 2946:Houghton-Mifflin. 2296:978-0-521-84085-9 2271:978-91-7265-603-1 1698:Nicolas Rashevsky 1657:Foundation series 1520:Guillermina Jasso 1481:Elementary Theory 1474:Guillermina Jasso 1423:social indicators 1419:social statistics 1385:Linton C. Freeman 1284:François Lorraine 1264:Harrison C. White 1210:Research programs 1204:collective action 1139: 1138: 1082:and Faust 1994). 945:, but what about 923:Nicolas Rashevsky 911:interdisciplinary 904: 903: 622:Social experiment 502:Social psychology 147:Social complexity 4889: 4649:Feynman integral 4632: 4631: 4592:Potential theory 4481:random variables 4371:Fourier analysis 4354:Operator algebra 4281:Clifford algebra 4233:Computer algebra 4159: 4158: 4066: 4059: 4052: 4043: 4042: 4029: 4028: 4014: 4013: 4002: 4001: 3978: 3977: 3957:Social structure 3854:Network analysis 3448: 3447: 3438:Sociolinguistics 3428:Social movements 3352:Social darwinism 3289:Public sociology 3238: 3231: 3224: 3215: 3214: 3183: 3172:10.1038/170003a0 3149: 3019:Empirical Press. 2917: 2916: 2888: 2882: 2881: 2861: 2855: 2854: 2836: 2816: 2810: 2809: 2792:(5): 1366–1414. 2781: 2775: 2774: 2754: 2748: 2747: 2739: 2733: 2732: 2730: 2721: 2715: 2714: 2686: 2680: 2679: 2671: 2665: 2664: 2652: 2642: 2636: 2635: 2627: 2621: 2620: 2610: 2590: 2584: 2583: 2571: 2561: 2555: 2554: 2546: 2540: 2539: 2519: 2513: 2512: 2492: 2486: 2485: 2465: 2459: 2458: 2450: 2444: 2443: 2415: 2409: 2408: 2400: 2394: 2393: 2385: 2379: 2378: 2376: 2366: 2360: 2359: 2351: 2345: 2344: 2332: 2322: 2316: 2315: 2307: 2301: 2300: 2282: 2276: 2275: 2257: 2251: 2250: 2240: 2216: 2210: 2209: 2201: 2195: 2194: 2178: 2168: 2162: 2161: 2153: 2147: 2146: 2138: 2132: 2131: 2129: 2119: 2113: 2112: 2095:(6): 1360–1380. 2084: 2078: 2077: 2049: 2043: 2042: 2039:Psychology Today 2034: 2028: 2027: 2019: 2013: 2012: 1984: 1978: 1972: 1966: 1963: 1957: 1956: 1948: 1942: 1941: 1905: 1899: 1898: 1890: 1884: 1883: 1878:. 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Simon 896: 889: 882: 866: 865: 617:Network analysis 507:Sociocybernetics 497:Social movements 227:Social darwinism 177:Social structure 69: 50: 49: 4897: 4896: 4892: 4891: 4890: 4888: 4887: 4886: 4867: 4866: 4865: 4860: 4832: 4794: 4778: 4740: 4688: 4654:Poisson algebra 4630: 4512: 4505: 4463: 4359:Operator theory 4257: 4215: 4181:Tensor software 4157: 4106:Automata theory 4075: 4070: 4040: 4035: 4023: 3967: 3966: 3965: 3937:Social equality 3870: 3869: 3868: 3797: 3611:Major theorists 3602: 3446: 3443:Urban sociology 3418:Rural sociology 3370: 3363: 3362: 3361: 3332:Critical theory 3327:Conflict theory 3313: 3294:Social research 3281:General aspects 3275: 3247: 3242: 3147: 3139: 3040:Harper and Row. 2983:Anuska Ferligoj 2925: 2923:Further reading 2920: 2889: 2885: 2862: 2858: 2843:10.2307/2095952 2834:10.1.1.295.2551 2817: 2813: 2782: 2778: 2759:Social Networks 2755: 2751: 2740: 2736: 2728: 2722: 2718: 2703:10.2307/2095239 2687: 2683: 2672: 2668: 2661: 2643: 2639: 2628: 2624: 2608:10.1.1.484.9992 2595:Social Networks 2591: 2587: 2580: 2562: 2558: 2547: 2543: 2524:Social Networks 2520: 2516: 2493: 2489: 2470:Social Networks 2466: 2462: 2451: 2447: 2416: 2412: 2401: 2397: 2386: 2382: 2367: 2363: 2352: 2348: 2341: 2323: 2319: 2308: 2304: 2297: 2283: 2279: 2272: 2258: 2254: 2217: 2213: 2202: 2198: 2191: 2183:–278 (Ch. 11). 2169: 2165: 2158:James S Coleman 2154: 2150: 2139: 2135: 2120: 2116: 2085: 2081: 2066:10.2307/2786545 2050: 2046: 2035: 2031: 2020: 2016: 1985: 1981: 1973: 1969: 1964: 1960: 1949: 1945: 1916:(5757): 88–90. 1906: 1902: 1891: 1887: 1874: 1873: 1869: 1858: 1854: 1845:The Human Group 1839: 1835: 1822: 1818: 1809: 1805: 1796: 1792: 1783: 1779: 1744: 1740: 1736: 1649: 1605: 1548:Philip Bonacich 1504: 1410:Kenneth C. Land 1370:Patrick Doreian 1334:group processes 1212: 1135: 1129: 1126: 1119:needs expansion 1104: 1067:rational choice 1037: 1011: 1006: 935:social networks 927:Anatol Rapoport 919: 900: 860: 853: 852: 813: 803: 802: 730: 656: 642: 640:Major theorists 632: 631: 567: 557: 556: 247: 237: 236: 207:Critical theory 202:Conflict theory 197: 187: 186: 157:Social equality 98: 17: 12: 11: 5: 4895: 4885: 4884: 4879: 4862: 4861: 4859: 4858: 4845: 4837: 4834: 4833: 4831: 4830: 4825: 4820: 4815: 4814: 4813: 4802: 4800: 4796: 4795: 4793: 4792: 4786: 4784: 4780: 4779: 4777: 4776: 4769: 4764: 4759: 4754: 4748: 4746: 4742: 4741: 4739: 4738: 4733: 4728: 4723: 4718: 4713: 4708: 4702: 4700: 4694: 4693: 4690: 4689: 4687: 4686: 4681: 4676: 4671: 4666: 4661: 4656: 4651: 4646: 4640: 4638: 4629: 4628: 4627: 4626: 4621: 4611: 4610: 4609: 4604: 4594: 4589: 4588: 4587: 4577: 4576: 4575: 4570: 4565: 4560: 4555: 4550: 4545: 4535: 4534: 4533: 4528: 4517: 4515: 4507: 4506: 4504: 4503: 4498: 4493: 4484: 4473: 4471: 4465: 4464: 4462: 4461: 4456: 4455: 4454: 4449: 4444: 4439: 4429: 4428: 4427: 4422: 4417: 4412: 4402: 4401: 4400: 4395: 4390: 4385: 4375: 4374: 4373: 4363: 4362: 4361: 4356: 4346: 4345: 4344: 4342:Control theory 4339: 4329: 4328: 4327: 4322: 4317: 4307: 4306: 4305: 4300: 4295: 4285: 4284: 4283: 4273: 4267: 4265: 4259: 4258: 4256: 4255: 4250: 4245: 4240: 4235: 4229: 4227: 4221: 4220: 4217: 4216: 4214: 4213: 4208: 4203: 4198: 4193: 4188: 4183: 4178: 4173: 4167: 4165: 4156: 4155: 4150: 4145: 4140: 4135: 4134: 4133: 4123: 4118: 4113: 4108: 4103: 4102: 4101: 4096: 4085: 4083: 4077: 4076: 4069: 4068: 4061: 4054: 4046: 4037: 4036: 4034: 4020: 4008: 3996: 3995: 3994: 3989: 3972: 3969: 3968: 3964: 3959: 3954: 3949: 3944: 3939: 3934: 3929: 3924: 3919: 3905: 3900: 3895: 3893:Human behavior 3890: 3885: 3880: 3879: 3878: 3876: 3872: 3871: 3867: 3866: 3861: 3856: 3851: 3848: 3843: 3838: 3833: 3828: 3823: 3818: 3813: 3807: 3806: 3805: 3803: 3799: 3798: 3796: 3795: 3790: 3785: 3780: 3775: 3770: 3765: 3760: 3755: 3750: 3745: 3740: 3735: 3730: 3725: 3720: 3715: 3710: 3705: 3700: 3695: 3690: 3685: 3680: 3675: 3670: 3665: 3660: 3655: 3650: 3645: 3640: 3635: 3630: 3625: 3620: 3614: 3612: 3608: 3607: 3604: 3603: 3601: 3600: 3595: 3590: 3588:stratification 3585: 3580: 3575: 3570: 3565: 3560: 3555: 3550: 3545: 3540: 3535: 3530: 3525: 3520: 3515: 3510: 3505: 3500: 3495: 3490: 3485: 3480: 3475: 3470: 3465: 3460: 3454: 3452: 3445: 3440: 3435: 3430: 3425: 3420: 3415: 3410: 3405: 3400: 3395: 3390: 3385: 3380: 3375: 3373: 3369:Related fields 3365: 3364: 3360: 3359: 3354: 3349: 3344: 3339: 3334: 3329: 3323: 3322: 3321: 3319: 3315: 3314: 3312: 3311: 3306: 3301: 3296: 3291: 3285: 3283: 3277: 3276: 3274: 3273: 3268: 3263: 3258: 3252: 3249: 3248: 3241: 3240: 3233: 3226: 3218: 3212: 3211: 3206: 3201: 3196: 3189: 3184: 3152:Sociopedia.isa 3138: 3137:External links 3135: 3134: 3133: 3126: 3119: 3112: 3111:Prentice-Hall. 3105: 3095: 3088: 3087:Prentice-Hall. 3081: 3071: 3061: 3051: 3048: 3047:Prentice-Hall. 3041: 3034: 3027: 3020: 3013: 3006: 2999: 2992: 2986: 2975: 2968: 2961: 2954: 2947: 2940: 2939:18(3):482-489. 2929: 2924: 2921: 2919: 2918: 2899:(3): 510–517. 2883: 2872:(3): 193–242. 2856: 2827:(6): 801–818. 2811: 2798:10.1086/230826 2776: 2765:(2): 113–139. 2749: 2734: 2716: 2681: 2666: 2659: 2637: 2622: 2601:(2): 119–141. 2585: 2578: 2556: 2541: 2514: 2503:(2–3): 79–87. 2487: 2476:(2): 141–175. 2460: 2445: 2426:(3): 475–523. 2410: 2395: 2380: 2361: 2346: 2339: 2317: 2302: 2295: 2277: 2270: 2252: 2211: 2196: 2189: 2163: 2148: 2133: 2114: 2101:10.1086/225469 2079: 2060:(4): 425–443. 2044: 2029: 2014: 1995:(4): 279–291. 1979: 1967: 1958: 1943: 1900: 1885: 1882:on 2015-09-24. 1867: 1852: 1833: 1816: 1803: 1790: 1777: 1758:(1): 197–220. 1737: 1735: 1732: 1731: 1730: 1728:Social network 1725: 1720: 1715: 1710: 1705: 1700: 1695: 1693:Harrison White 1690: 1685: 1680: 1675: 1670: 1665: 1660: 1648: 1645: 1604: 1601: 1594: 1593: 1590:Harrison White 1586: 1579: 1576:Linton Freeman 1572: 1565: 1562:David R. Heise 1558: 1551: 1544: 1537: 1534:Ronald Breiger 1530: 1523: 1503: 1500: 1496:Raymond Boudon 1462:Neil MacKinnon 1446:David R. Heise 1313:Murray Webster 1288:Ronald Breiger 1244:social capital 1211: 1208: 1137: 1136: 1116: 1114: 1103: 1100: 1036: 1033: 1010: 1007: 1005: 1002: 985:of any group. 918: 915: 902: 901: 899: 898: 891: 884: 876: 873: 872: 871: 870: 855: 854: 851: 850: 845: 840: 835: 830: 825: 820: 814: 809: 808: 805: 804: 658: 657: 643: 638: 637: 634: 633: 630: 629: 624: 619: 614: 609: 604: 599: 594: 589: 584: 579: 574: 568: 563: 562: 559: 558: 555: 554: 549: 544: 539: 534: 529: 524: 519: 514: 509: 504: 499: 494: 484: 479: 474: 469: 464: 459: 454: 449: 444: 439: 434: 429: 424: 419: 414: 409: 404: 399: 394: 389: 384: 379: 374: 369: 364: 359: 354: 349: 344: 339: 334: 329: 319: 314: 309: 304: 299: 294: 289: 284: 279: 274: 269: 267:Astrosociology 264: 259: 254: 248: 243: 242: 239: 238: 235: 234: 229: 224: 219: 214: 209: 204: 198: 193: 192: 189: 188: 185: 184: 179: 174: 169: 164: 159: 154: 149: 144: 139: 125: 120: 115: 113:Human behavior 110: 105: 99: 96: 95: 92: 91: 90: 89: 84: 79: 71: 70: 62: 61: 55: 54: 32:United Kingdom 15: 9: 6: 4: 3: 2: 4894: 4883: 4880: 4878: 4875: 4874: 4872: 4857: 4853: 4849: 4846: 4844: 4843: 4839: 4838: 4835: 4829: 4826: 4824: 4821: 4819: 4816: 4812: 4809: 4808: 4807: 4804: 4803: 4801: 4799:Organizations 4797: 4791: 4788: 4787: 4785: 4781: 4774: 4770: 4768: 4765: 4763: 4760: 4758: 4755: 4753: 4750: 4749: 4747: 4743: 4737: 4734: 4732: 4729: 4727: 4724: 4722: 4719: 4717: 4714: 4712: 4709: 4707: 4704: 4703: 4701: 4699: 4695: 4685: 4682: 4680: 4677: 4675: 4672: 4670: 4667: 4665: 4662: 4660: 4659:Quantum group 4657: 4655: 4652: 4650: 4647: 4645: 4642: 4641: 4639: 4637: 4633: 4625: 4622: 4620: 4617: 4616: 4615: 4614:Supersymmetry 4612: 4608: 4605: 4603: 4600: 4599: 4598: 4597:String theory 4595: 4593: 4590: 4586: 4583: 4582: 4581: 4578: 4574: 4571: 4569: 4566: 4564: 4561: 4559: 4556: 4554: 4551: 4549: 4546: 4544: 4541: 4540: 4539: 4536: 4532: 4529: 4527: 4524: 4523: 4522: 4519: 4518: 4516: 4514: 4508: 4502: 4499: 4497: 4496:Path integral 4494: 4492: 4488: 4485: 4482: 4478: 4477:Distributions 4475: 4474: 4472: 4470: 4466: 4460: 4457: 4453: 4450: 4448: 4445: 4443: 4440: 4438: 4435: 4434: 4433: 4430: 4426: 4423: 4421: 4418: 4416: 4413: 4411: 4408: 4407: 4406: 4403: 4399: 4396: 4394: 4391: 4389: 4386: 4384: 4381: 4380: 4379: 4376: 4372: 4369: 4368: 4367: 4364: 4360: 4357: 4355: 4352: 4351: 4350: 4347: 4343: 4340: 4338: 4335: 4334: 4333: 4330: 4326: 4323: 4321: 4318: 4316: 4313: 4312: 4311: 4308: 4304: 4301: 4299: 4296: 4294: 4291: 4290: 4289: 4286: 4282: 4279: 4278: 4277: 4274: 4272: 4269: 4268: 4266: 4264: 4260: 4254: 4251: 4249: 4246: 4244: 4243:Combinatorics 4241: 4239: 4236: 4234: 4231: 4230: 4228: 4226: 4222: 4212: 4209: 4207: 4204: 4202: 4199: 4197: 4194: 4192: 4189: 4187: 4184: 4182: 4179: 4177: 4174: 4172: 4169: 4168: 4166: 4164: 4160: 4154: 4151: 4149: 4146: 4144: 4141: 4139: 4136: 4132: 4129: 4128: 4127: 4124: 4122: 4119: 4117: 4116:Coding theory 4114: 4112: 4109: 4107: 4104: 4100: 4097: 4095: 4092: 4091: 4090: 4087: 4086: 4084: 4082: 4081:Computational 4078: 4074: 4067: 4062: 4060: 4055: 4053: 4048: 4047: 4044: 4033: 4032: 4027: 4021: 4019: 4018: 4009: 4007: 4006: 3997: 3993: 3990: 3988: 3985: 3984: 3983: 3982: 3973: 3970: 3963: 3960: 3958: 3955: 3953: 3950: 3948: 3945: 3943: 3942:Social equity 3940: 3938: 3935: 3933: 3930: 3928: 3925: 3923: 3920: 3918: 3914: 3910: 3906: 3904: 3901: 3899: 3896: 3894: 3891: 3889: 3888:Globalization 3886: 3884: 3881: 3877: 3873: 3865: 3862: 3860: 3857: 3855: 3852: 3849: 3847: 3844: 3842: 3839: 3837: 3834: 3832: 3829: 3827: 3826:Computational 3824: 3822: 3819: 3817: 3814: 3812: 3809: 3808: 3804: 3800: 3794: 3791: 3789: 3786: 3784: 3781: 3779: 3776: 3774: 3771: 3769: 3766: 3764: 3761: 3759: 3756: 3754: 3751: 3749: 3746: 3744: 3741: 3739: 3736: 3734: 3731: 3729: 3726: 3724: 3721: 3719: 3716: 3714: 3711: 3709: 3706: 3704: 3701: 3699: 3696: 3694: 3691: 3689: 3686: 3684: 3681: 3679: 3676: 3674: 3671: 3669: 3666: 3664: 3661: 3659: 3656: 3654: 3651: 3649: 3646: 3644: 3641: 3639: 3636: 3634: 3631: 3629: 3626: 3624: 3621: 3619: 3616: 3615: 3613: 3609: 3599: 3596: 3594: 3591: 3589: 3586: 3584: 3581: 3579: 3576: 3574: 3571: 3569: 3566: 3564: 3561: 3559: 3556: 3554: 3551: 3549: 3546: 3544: 3541: 3539: 3536: 3534: 3531: 3529: 3526: 3524: 3521: 3519: 3516: 3514: 3511: 3509: 3506: 3504: 3501: 3499: 3496: 3494: 3491: 3489: 3486: 3484: 3481: 3479: 3476: 3474: 3471: 3469: 3468:consciousness 3466: 3464: 3461: 3459: 3456: 3455: 3453: 3449: 3444: 3441: 3439: 3436: 3434: 3431: 3429: 3426: 3424: 3421: 3419: 3416: 3414: 3411: 3409: 3406: 3404: 3401: 3399: 3396: 3394: 3391: 3389: 3386: 3384: 3381: 3379: 3376: 3374: 3372: 3371:and subfields 3366: 3358: 3355: 3353: 3350: 3348: 3345: 3343: 3340: 3338: 3335: 3333: 3330: 3328: 3325: 3324: 3320: 3316: 3310: 3307: 3305: 3302: 3300: 3299:Social theory 3297: 3295: 3292: 3290: 3287: 3286: 3284: 3282: 3278: 3272: 3269: 3267: 3264: 3262: 3259: 3257: 3254: 3253: 3250: 3246: 3239: 3234: 3232: 3227: 3225: 3220: 3219: 3216: 3210: 3207: 3205: 3202: 3200: 3197: 3195: 3194: 3190: 3188: 3185: 3181: 3177: 3173: 3169: 3165: 3161: 3157: 3153: 3146: 3141: 3140: 3131: 3128:_____. 2008. 3127: 3124: 3121:_____. 1992. 3120: 3117: 3114:_____. 1970. 3113: 3110: 3106: 3103: 3099: 3096: 3093: 3089: 3086: 3082: 3079: 3076: 3072: 3069: 3066: 3062: 3059: 3056: 3052: 3049: 3046: 3042: 3039: 3035: 3032: 3028: 3025: 3021: 3018: 3014: 3011: 3008:_____. 1989. 3007: 3004: 3000: 2997: 2993: 2991: 2987: 2984: 2980: 2976: 2973: 2970:_____. 1990. 2969: 2966: 2962: 2959: 2955: 2952: 2948: 2945: 2941: 2938: 2934: 2930: 2927: 2926: 2914: 2910: 2906: 2902: 2898: 2894: 2887: 2879: 2875: 2871: 2867: 2860: 2852: 2848: 2844: 2840: 2835: 2830: 2826: 2822: 2815: 2807: 2803: 2799: 2795: 2791: 2787: 2780: 2772: 2768: 2764: 2760: 2753: 2745: 2738: 2727: 2720: 2712: 2708: 2704: 2700: 2696: 2692: 2685: 2677: 2670: 2662: 2660:9781403967985 2656: 2651: 2650: 2641: 2633: 2626: 2618: 2614: 2609: 2604: 2600: 2596: 2589: 2581: 2579:9780521372589 2575: 2570: 2569: 2560: 2552: 2545: 2537: 2533: 2529: 2525: 2518: 2510: 2506: 2502: 2498: 2491: 2483: 2479: 2475: 2471: 2464: 2456: 2449: 2441: 2437: 2433: 2429: 2425: 2421: 2414: 2406: 2399: 2391: 2384: 2375: 2374: 2365: 2357: 2350: 2342: 2340:9780691003986 2336: 2331: 2330: 2321: 2313: 2306: 2298: 2292: 2288: 2281: 2273: 2267: 2263: 2256: 2248: 2244: 2239: 2234: 2231:(1–3): 1–25. 2230: 2226: 2222: 2215: 2207: 2200: 2192: 2190:9780275973629 2186: 2182: 2177: 2176: 2167: 2159: 2152: 2144: 2137: 2128: 2127: 2118: 2110: 2106: 2102: 2098: 2094: 2090: 2083: 2075: 2071: 2067: 2063: 2059: 2055: 2048: 2040: 2033: 2025: 2018: 2010: 2006: 2002: 1998: 1994: 1990: 1983: 1976: 1975:Wasserman, S. 1971: 1962: 1954: 1947: 1939: 1935: 1931: 1927: 1923: 1919: 1915: 1911: 1904: 1896: 1889: 1881: 1877: 1871: 1863: 1856: 1847: 1846: 1837: 1830: 1826: 1820: 1813: 1807: 1800: 1794: 1787: 1781: 1773: 1769: 1765: 1761: 1757: 1753: 1749: 1742: 1738: 1729: 1726: 1724: 1723:Thomas Fararo 1721: 1719: 1716: 1714: 1711: 1709: 1706: 1704: 1701: 1699: 1696: 1694: 1691: 1689: 1686: 1684: 1681: 1679: 1676: 1674: 1671: 1669: 1666: 1664: 1661: 1658: 1654: 1651: 1650: 1644: 1642: 1638: 1633: 1628: 1627: 1623: 1619: 1615: 1611: 1610:Otomar Bartos 1600: 1599: 1591: 1587: 1584: 1583:Thomas Fararo 1580: 1577: 1573: 1570: 1569:Scott Boorman 1566: 1563: 1559: 1556: 1555:John Skvoretz 1552: 1549: 1545: 1542: 1538: 1535: 1531: 1528: 1527:Noah Friedkin 1524: 1521: 1517: 1516: 1515: 1513: 1509: 1499: 1497: 1494:and the late 1493: 1488: 1486: 1482: 1477: 1475: 1470: 1467: 1463: 1459: 1458:Dawn Robinson 1455: 1451: 1447: 1443: 1438: 1436: 1432: 1428: 1424: 1420: 1415: 1411: 1407: 1402: 1399: 1394: 1390: 1386: 1381: 1379: 1375: 1371: 1367: 1363: 1359: 1355: 1354:John Skvoretz 1351: 1347: 1342: 1337: 1335: 1331: 1326: 1322: 1318: 1314: 1310: 1307:collaborator 1305: 1300: 1297: 1293: 1292:Scott Boorman 1289: 1285: 1281: 1277: 1273: 1272:vacancy chain 1269: 1265: 1261: 1256: 1253: 1249: 1245: 1241: 1236: 1232: 1228: 1223: 1221: 1217: 1216:formal theory 1207: 1205: 1201: 1200:social status 1197: 1193: 1187: 1185: 1181: 1180: 1174: 1172: 1171: 1166: 1165: 1159: 1157: 1153: 1149: 1145: 1133: 1124: 1120: 1117:This section 1115: 1112: 1108: 1107: 1099: 1095: 1092: 1091:Joseph Berger 1087: 1083: 1081: 1077: 1071: 1068: 1064: 1060: 1055: 1053: 1048: 1046: 1042: 1032: 1029: 1024: 1020: 1016: 1001: 999: 995: 991: 986: 984: 980: 979:social groups 976: 970: 968: 964: 960: 956: 955:signed graphs 952: 948: 947:negative ties 944: 939: 936: 932: 928: 924: 914: 912: 908: 897: 892: 890: 885: 883: 878: 877: 875: 874: 869: 864: 859: 858: 857: 856: 849: 846: 844: 841: 839: 836: 834: 833:Organizations 831: 829: 826: 824: 821: 819: 816: 815: 812: 807: 806: 801: 797: 793: 789: 785: 782: Â·  781: 778: Â·  777: 773: 769: 765: 761: 757: 753: 749: 745: 741: 738: Â·  737: 734: 731: 729: 725: 721: 717: 713: 709: 705: 701: 697: 693: 689: 685: 681: 677: 673: 670: Â·  669: 665: 662: 655: 651: 648: 645: 644: 641: 636: 635: 628: 625: 623: 620: 618: 615: 613: 610: 608: 605: 603: 600: 598: 595: 593: 590: 588: 587:Computational 585: 583: 580: 578: 575: 573: 570: 569: 566: 561: 560: 553: 550: 548: 545: 543: 540: 538: 535: 533: 530: 528: 525: 523: 520: 518: 515: 513: 510: 508: 505: 503: 500: 498: 495: 492: 488: 485: 483: 480: 478: 475: 473: 470: 468: 465: 463: 460: 458: 455: 453: 450: 448: 445: 443: 440: 438: 435: 433: 430: 428: 425: 423: 420: 418: 415: 413: 410: 408: 405: 403: 400: 398: 395: 393: 390: 388: 385: 383: 380: 378: 375: 373: 370: 368: 365: 363: 360: 358: 355: 353: 350: 348: 345: 343: 340: 338: 335: 333: 332:Environmental 330: 327: 323: 320: 318: 315: 313: 310: 308: 305: 303: 300: 298: 295: 293: 290: 288: 285: 283: 282:Consciousness 280: 278: 275: 273: 270: 268: 265: 263: 260: 258: 255: 253: 250: 249: 246: 241: 240: 233: 230: 228: 225: 223: 220: 218: 215: 213: 210: 208: 205: 203: 200: 199: 196: 191: 190: 183: 180: 178: 175: 173: 170: 168: 165: 163: 162:Social equity 160: 158: 155: 153: 150: 148: 145: 143: 140: 138: 134: 130: 126: 124: 121: 119: 116: 114: 111: 109: 108:Globalization 106: 104: 101: 100: 94: 93: 88: 85: 83: 80: 78: 75: 74: 73: 72: 68: 64: 63: 60: 57: 56: 52: 51: 45: 41: 37: 33: 29: 25: 21: 4854: / 4850: / 4840: 4766: 4716:Optimization 4679:Superalgebra 4538:Field theory 4511:Mathematical 4489: / 4337:Chaos theory 4320:Gauge theory 4248:Graph theory 4143:Cryptography 4022: 4015: 4003: 3979: 3947:Social power 3850:Mathematical 3831:Ethnographic 3811:Quantitative 3578:small groups 3451:Sociology of 3378:Anthropology 3318:Perspectives 3192: 3155: 3151: 3129: 3122: 3115: 3108: 3101: 3091: 3084: 3077: 3074: 3067: 3064: 3057: 3054: 3044: 3037: 3030: 3023: 3016: 3009: 3002: 2995: 2989: 2971: 2964: 2950: 2943: 2936: 2896: 2892: 2886: 2869: 2865: 2859: 2824: 2820: 2814: 2789: 2785: 2779: 2762: 2758: 2752: 2743: 2737: 2719: 2694: 2690: 2684: 2675: 2669: 2648: 2640: 2631: 2625: 2598: 2594: 2588: 2567: 2559: 2550: 2544: 2527: 2523: 2517: 2500: 2496: 2490: 2473: 2469: 2463: 2454: 2448: 2423: 2419: 2413: 2404: 2398: 2389: 2383: 2372: 2364: 2355: 2349: 2328: 2320: 2311: 2305: 2286: 2280: 2261: 2255: 2228: 2224: 2214: 2205: 2199: 2174: 2166: 2157: 2151: 2142: 2136: 2125: 2117: 2092: 2088: 2082: 2057: 2053: 2047: 2038: 2032: 2023: 2017: 1992: 1988: 1982: 1970: 1961: 1952: 1946: 1913: 1909: 1903: 1894: 1888: 1880:the original 1870: 1864:. MIT Press. 1861: 1855: 1844: 1836: 1828: 1819: 1814:19: 257-277. 1811: 1806: 1798: 1793: 1785: 1780: 1755: 1751: 1741: 1653:Isaac Asimov 1640: 1636: 1631: 1630:Articles in 1629: 1613: 1606: 1595: 1511: 1505: 1489: 1485:Bruce Mayhew 1478: 1471: 1449: 1439: 1413: 1403: 1392: 1382: 1362:Kenji Kosaka 1338: 1317:David Wagner 1301: 1267: 1257: 1234: 1230: 1224: 1213: 1188: 1177: 1175: 1168: 1162: 1160: 1140: 1127: 1123:adding to it 1118: 1096: 1088: 1084: 1076:group theory 1072: 1056: 1051: 1049: 1038: 1019:sociological 1013:Focusing on 1012: 987: 971: 963:Frank Harary 951:graph theory 946: 943:positive tie 942: 940: 920: 906: 905: 818:Bibliography 732: 660: 659: 646: 612:Mathematical 611: 592:Ethnographic 572:Quantitative 426: 257:Architecture 195:Perspectives 167:Social power 4856:topics list 4790:Mathematics 4706:Game theory 4607:Topological 4573:Topological 4568:Statistical 4531:Hamiltonian 4017:WikiProject 3821:Comparative 3816:Qualitative 3783:Baudrillard 3633:Tocqueville 3528:immigration 3503:environment 3388:Criminology 3158:(4314): 3. 3094:17:202-212. 2967:Free Press. 2697:(1): 3–32. 1831:63:277-293. 1678:Game Theory 1492:Peter Abell 1321:Hamit Fisek 1031:structure. 1023:mathematics 1015:mathematics 998:cybernetics 994:game theory 823:Terminology 792:Baudrillard 668:Tocqueville 582:Comparative 577:Qualitative 547:Victimology 377:Immigration 362:Generations 277:Criminology 44:triangulate 4871:Categories 4762:Psychology 4726:Statistics 4526:Lagrangian 4153:Statistics 4089:Algorithms 3981:Categories 3922:Popularity 3875:Key themes 3841:Historical 3593:technology 3398:Demography 3342:Positivism 3070:: 159-198. 3060:: 477-491. 2746:: 317–342. 2054:Sociometry 1734:References 1688:Peter Blau 1668:Statistics 1663:Positivism 1466:cybernetic 1431:demography 1398:Centrality 1276:blockmodel 1130:April 2010 1004:Approaches 931:relational 848:By country 602:Historical 527:Technology 467:Punishment 452:Philosophy 427:Mathematic 417:Literature 382:Industrial 372:Historical 297:Demography 217:Positivism 142:Popularity 97:Key themes 4767:Sociology 4757:Chemistry 4553:Effective 4548:Conformal 4543:Classical 4415:Geometric 4388:Geometric 3846:Interview 3628:Martineau 3533:knowledge 3493:education 3488:economics 3245:Sociology 2913:144850864 2829:CiteSeerX 2806:144193428 2603:CiteSeerX 2440:145568310 1772:0360-0572 1080:Wasserman 664:Martineau 607:Interview 532:Terrorism 512:Sociology 457:Political 397:Knowledge 317:Education 59:Sociology 28:Cambridge 4842:Category 4491:analysis 4410:Exterior 4383:Exterior 4263:Analysis 4225:Discrete 4099:analysis 3992:Journals 3903:Identity 3788:Bourdieu 3778:Habermas 3773:Luhmann 3768:Foucault 3703:Mannheim 3678:Durkheim 3563:religion 3553:military 3548:medicine 3498:emotions 3483:deviance 3266:Timeline 2530:: 1–26. 2109:59578641 2009:14490358 1930:16400149 1647:See also 1246:and the 959:balanced 843:Timeline 828:Journals 796:Bourdieu 788:Habermas 784:Luhmann 780:Foucault 724:Mannheim 704:Durkheim 477:Religion 437:Military 402:Language 387:Internet 342:Feminist 326:Jealousy 312:Economic 307:Disaster 302:Deviance 245:Branches 123:Identity 36:tangents 4852:outline 4783:Related 4752:Biology 4602:Bosonic 4563:Quantum 4513:physics 4479: ( 4211:Solvers 4005:Commons 3883:Society 3802:Methods 3793:Giddens 3758:Goffman 3753:Schoeck 3698:Du Bois 3663:Tönnies 3643:Spencer 3573:science 3543:leisure 3473:culture 3261:History 3256:Outline 3180:4181915 3160:Bibcode 2851:2095952 2711:2095239 2247:1027308 2208:. Sage. 2074:2786545 1938:8624120 1910:Science 1017:within 967:cliques 917:History 800:Giddens 798:·  794:·  786:·  774:·  772:Goffman 768:Schoeck 754:·  746:·  722:·  720:Du Bois 718:·  710:·  706:·  698:·  692:Tönnies 690:·  676:Spencer 674:·  652:·  565:Methods 542:Utopian 487:Science 432:Medical 422:Marxist 412:Leisure 322:Emotion 287:Culture 103:Society 82:Outline 77:History 4425:Vector 4420:Tensor 4398:Vector 4393:Tensor 4094:design 3864:Survey 3763:Bauman 3738:Nisbet 3733:Merton 3723:Gehlen 3718:Adorno 3683:Addams 3673:Simmel 3668:Veblen 3658:Pareto 3648:Le Bon 3623:Sieyès 3523:health 3518:gender 3508:family 3178:  2981:, and 2911:  2849:  2831:  2804:  2709:  2657:  2605:  2576:  2438:  2337:  2293:  2268:  2245:  2187:  2107:  2072:  2007:  1936:  1928:  1770:  1588:2002: 1581:2004: 1574:2006: 1567:2008: 1560:2010: 1553:2012: 1546:2014: 1539:2017: 1532:2018: 1525:2020: 1518:2022: 1372:) and 1319:, and 1290:, and 909:is an 838:People 776:Bauman 756:Nisbet 752:Merton 744:Gehlen 740:Adorno 733:1900s: 708:Addams 700:Simmel 696:Veblen 688:Pareto 680:Le Bon 661:1800s: 654:Sieyès 647:1700s: 627:Survey 552:Visual 462:Public 367:Health 357:Gender 347:Fiscal 337:Family 4558:Gauge 3987:lists 3743:Mills 3713:Fromm 3708:Elias 3693:Weber 3618:Comte 3583:space 3568:sport 3478:death 3271:Index 3176:S2CID 3148:(PDF) 2909:S2CID 2847:JSTOR 2802:S2CID 2729:(PDF) 2707:JSTOR 2436:S2CID 2243:S2CID 2105:S2CID 2070:JSTOR 1934:S2CID 1248:norms 1240:trust 811:Lists 760:Mills 736:Fromm 728:Elias 716:Weber 650:Comte 537:Urban 522:Sport 517:Space 482:Rural 442:Music 392:Jewry 292:Death 252:Aging 87:Index 3748:Bell 3728:Aron 3688:Mead 3653:Ward 3638:Marx 3598:work 3513:food 3463:body 2655:ISBN 2574:ISBN 2335:ISBN 2291:ISBN 2266:ISBN 2185:ISBN 2005:PMID 1926:PMID 1768:ISSN 1639:and 1460:and 1444:and 1440:(7) 1433:and 1408:and 1404:(6) 1348:and 1302:(3) 1278:and 1262:and 1258:(2) 1225:(1) 1167:and 764:Bell 748:Aron 712:Mead 684:Ward 672:Marx 352:Food 272:Body 3538:law 3458:art 3168:doi 3156:170 2935:." 2901:doi 2874:doi 2839:doi 2794:doi 2790:101 2767:doi 2699:doi 2613:doi 2532:doi 2505:doi 2478:doi 2428:doi 2233:doi 2181:255 2097:doi 2062:doi 1997:doi 1918:doi 1914:311 1760:doi 1655:'s 1364:), 1356:), 1125:. 407:Law 262:Art 40:arc 4873:: 3915:/ 3911:/ 3174:. 3166:. 3154:. 3150:. 3068:31 3058:27 2907:. 2897:18 2895:. 2870:13 2868:. 2845:. 2837:. 2825:58 2823:. 2800:. 2788:. 2763:26 2761:. 2705:. 2695:45 2693:. 2611:. 2597:. 2528:17 2526:. 2501:20 2499:. 2472:. 2434:. 2424:18 2422:. 2241:. 2229:35 2227:. 2223:. 2103:. 2093:78 2091:. 2068:. 2058:32 2056:. 2003:. 1991:. 1932:. 1924:. 1912:. 1766:. 1756:28 1754:. 1750:. 1624:, 1620:, 1498:. 1456:, 1429:, 1421:, 1336:. 1315:, 1286:, 1242:, 1198:, 1194:, 1154:, 1047:. 996:, 992:, 790:· 770:· 766:· 762:· 758:· 750:· 742:· 726:· 714:· 702:· 694:· 686:· 682:· 678:· 666:· 135:/ 131:/ 30:, 4775:" 4771:" 4483:) 4065:e 4058:t 4051:v 3917:5 3913:4 3909:3 3237:e 3230:t 3223:v 3182:. 3170:: 3162:: 3080:. 3078:2 2915:. 2903:: 2880:. 2876:: 2853:. 2841:: 2808:. 2796:: 2773:. 2769:: 2731:. 2713:. 2701:: 2663:. 2619:. 2615:: 2599:2 2582:. 2538:. 2534:: 2511:. 2507:: 2484:. 2480:: 2474:6 2442:. 2430:: 2343:. 2299:. 2274:. 2249:. 2235:: 2193:. 2111:. 2099:: 2076:. 2064:: 2041:. 2011:. 1999:: 1993:6 1940:. 1920:: 1774:. 1762:: 1396:“ 1132:) 1128:( 895:e 888:t 881:v 493:) 489:( 328:) 324:( 137:5 133:4 129:3

Index

Mathematical Bridge, or officially Wooden Bridge, is an arch bridge in Cambridge, United Kingdom. The arrangement of timbers is a series of tangents that describe the arc of the bridge, with radial members to tie the tangents together and triangulate the structure, making it rigid and self-supporting.
Mathematical Bridge
Cambridge
United Kingdom
tangents
arc
triangulate
Sociology

History
Outline
Index
Society
Globalization
Human behavior
Human environmental impact
Identity
3
4
5
Popularity
Social complexity
Social environment
Social equality
Social equity
Social power
Social stratification
Social structure
Social cycle theory
Perspectives

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