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Topic: Growth rate group theory

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	Growth rate (group theory) - Wikipedia, the free encyclopedia
		In group theory, the growth rate of a group with respect to a symmetric generating set describes the size of balls in the group.
		According to Gromov's theorem, a group of polynomial growth is almost nilpotent, i.e.
		Grigorchuk, Degrees of growth of finitely generated groups and the theory of invariant means.
	en.wikipedia.org /wiki/Growth_rate_%28group_theory%29 (607 words)

	NationMaster - Encyclopedia: Population growth rate
		Population growth rate is a term used in demographics and ecology which refers to the rate at which the number of individuals in a population increases.
		Birth rates have declined because parents are more confident that their children will live to adulthood; more people have access to family planning; and more girls are receiving basic educations, and are choosing to start their families later in life and to have fewer, healthier children.
		Although the average annual population growth rate decreased from 1980 to 1998, the annual population increase was greater in 1998.
	www.nationmaster.com /encyclopedia/Population-growth-rate (382 words)

	Growth theory: A Glossary of Political Economy Terms - Dr. Paul M. Johnson
		Economic growth is usually measured as the annual percentage rate of growth in one or another of the country's major national income accounting aggregates, such as Gross National Product or Gross Domestic Product (almost always with appropriate statistical adjustments to discount the potentially misleading effects of price inflation).
		There is broad support in virtually all empirical studies for a strong positive impact on economic growth by the investment rate (especially the rate of investment in plant and equipment) and by various measures of human capital (such as the literacy rate, school enrollment ratios, and average life expectancy).
		Countries that allow extremely rapid expansion of their money stocks and thus bring on high rates of inflation (about 20% per year seems to be a critical threshold) have tended to experience sharply lower economic growth rates than countries with low or moderate rates of inflation.
	www.auburn.edu /~johnspm/gloss/growth_theory (1747 words)

	Research Interests: Queen Mary Pure Mathematics
		Charles Leedham-Green is the driving force behind the "matrix group recognition project", which aims to determine a group from a set of matrices generating it.
		He is concerned both with the growth rate of this function, and with divisibility and arithmetic properties.
		He is the architect of the web-based ATLAS of Finite Group Representations, and is especially interested in the sporadic simple groups, including the (in)famous Monster group.
	www.maths.qmw.ac.uk /~mathres/int_pure.html (1009 words)

	Amazon.ca: Topics in Geometric Group Theory: Books: Pierre de la Harpe,Pierre De La Harpe (Site not responding. Last check: 2007-11-01)
		Groups as abstract structures were first recognized by mathematicians in the nineteenth century.
		Groups are, of course, sets given with appropriate "multiplications," and they are often given together with actions on interesting geometric objects.
		More precisely, a finitely-generated group can be seen as a metric space, the distance between two points being defined "up to quasi-isometry" by some "word length," and this gives rise to a very fruitful approach to group theory.
	www.amazon.ca /Topics-in-Geometric-Group-Theory/dp/0226317196 (529 words)

	NationMaster - Encyclopedia: Standard of living in India
		With one of the fastest growing economies in the world, clocked at an average growth rate of 7% between 2000-2003, India is fast on way to become a large and globally important consumer economy.
		However there is no indication how the growth rate will narrow the gap between one of world's richest men, Indian billionaire Lakshmi Mittal, and the poor woman working so hard in the photo.
		See economic growth Growth rate (group theory) Population growth rate This is a disambiguation page — a navigational aid which lists other pages that might otherwise share the same title.
	www.nationmaster.com /encyclopedia/Standard-of-living-in-India (1134 words)

	Endogenous growth theory (Site not responding. Last check: 2007-11-01)
		Endogenous growth theory was developed in the 1980s as a response to criticism of the neo-classical growth model.
		That is, the source of growth is external to the model (as compared to endogenous growth which originates with a variable within the model).
		Subsidies on research and development or education are generally thought to increase the growth rate - a result that is very much in line with university professors' personal preferences.
	www.serebella.com /encyclopedia/article-Endogenous_growth_theory.html (1284 words)

	Seminar "Group theory and topology"
		Finitely generated groups G become geometric objects when endowed with the word metric (depending on the generating set): the distance between a and b from G is the length of the shortest word representing a^{-1}b.
		The existence of a bounded-simple 2-generated group, containing a free non-cyclic subgroup, and the existence of an infinite simple bounded-generated 2-generated group are proven.
		group G and every homomorphism from F to a free group of rank 2 extends to G. Then F is a retract of G.
	math.vanderbilt.edu /~msapir/altopfall02.html (942 words)

	Evolution: Glossary
		Mendelian inheritance is an atomistic theory because in it, inheritance is controlled by distinct genes.
		A group at any level in the classificatory hierarchy, such as a family, is formed by combining a subgroup at the next lowest level (the genus, in this case) with the subgroup or subgroups with which it shares its most recent common ancestor.
		To be exact, it permits paraphyletic groups (which are allowed in phenetic but not in cladistic classification) and monophyletic groups (which are allowed in both cladistic and phenetic classification) but excludes polyphyletic groups (which are banned from cladistic classification but permitted in phenetic classification).
	www.pbs.org /wgbh/evolution/library/glossary/index.html (13331 words)

	Amazon.ca: Theory and Practice of Group Psychotherapy: Books: Irvin D. Yalom (Site not responding. Last check: 2007-11-01)
		Yalom presents the new therapist with the many considerations that need to be looked at when forming a group and actually leading a group and he assists the therapists who have been in the field for some time with ways in which to sharpen or improve their skills.
		Theory and Practice of Group Psychotherapy by Dr. Yalom is an excellent book from which to gain knowledge and understanding of the dynamics of group process and also and essential piece of literature to keep at hand as a valuable reference book.
		His whole approach to the process of group therapy is existential emphasizing on the "Here and now" and focusing on what is going on in the immediate present of the group.
	www.amazon.ca /Theory-Practice-Group-Psychotherapy-Yalom/dp/0465084486 (1434 words)

	Home Groups: Why? What? and How? (Site not responding. Last check: 2007-11-01)
		When they plant a new group, they take along a number of fellow members from the original group, some of whom are already partially trained.
		The result of this approach are that the groups are not capable of carrying on their ministry independently.
		Finally, because home churches are larger and constitute more responsibility than cell groups, each home church is led by a team of leaders, rather than a single person or couple.
	www.xenos.org /homegroups/theory.htm (780 words)

	Growth rate (group theory) - InformationBlast
		In group theory, the growth rate of a group with respect to a symmetric generating set is a notion that describes how fast a group grows.
		Building it gradually outwards from the identity element by multiplication by members of the generating set, one can count the number of elements constructed at stage N.
		grows slower than exponent it has subexponential growth rate.
	www.informationblast.com /Growth_rate_%28group_theory%29.html (396 words)

	ipedia.com: Growth rate (group theory) Article (Site not responding. Last check: 2007-11-01)
		Suppose G is a finitely generated group; and T is a finite symmetric set of generatorss (symmetric means that if then).
		Although the function depends on the set of generators T its rate of growth does not (see below) and therefore the rate of growth gives an invariant of a group.
		If we say that G has a polynomial growth rate of order k.
	www.ipedia.com /growth_rate__group_theory_.html (465 words)

	Leadership Teams in Xenos (Site not responding. Last check: 2007-11-01)
		Group size is the most important factor to consider when deciding whether to require plurality of leadership.
		Medium sized groups, like home churches, are large enough to have an identity as a group or a community, and may develop loyalty to their own home church, more than to the larger church.
		If the group relieves pressure on itself by going to a larger venue, they may lose their incentive to raise up leaders as well as their ability to go back into homes.
	www.xenos.org /homegroups/teams.htm (1409 words)

	Plasma Theory Group - Research
		The strong asymmetry in the transport is an important consequence of the theory, directly verified on some tokamaks which have the necessary diagnostics to measure the transport and fluctuations around the poloidal periphery.
		Results from the group indicate that some of the proposed high density equilibria may be violently unstable to a class of MHD modes which are not present in present-day low density devices.
		increases the growth rate of the plasma fingers towards the wall becomes so rapid that there is insufficient time for the self-consistently generated axisymmetric flow to halt their progress before they strike the wall, and confinement is lost.
	www.ipr.umd.edu /Theory/Research/magnetic.htm (1171 words)

	Definition of index.php?search=rate&limit=20&offset=100 (Site not responding. Last check: 2007-11-01)
		3: The [[rate of enzyme mediated reactions]] is the rate of [[chemical reaction]]s mediated by [[enzyme]]s...
		The effective data transfer rate may be averaged over a period of seconds, minutes...
		This is the wage rate and level of employment at which the competing cl...
	www.wordiq.com /knowledge/index.php?search=rate&limit=20&offset=100 (803 words)

	Growth rate (group theory) - The Jiggies Reference Guide (Site not responding. Last check: 2007-11-01)
		Suppose G is a finitely generated group; and T is a finite symmetric set of generators (symmetric means that if $x \in T$ then $x^{-1} \in T$ ).
		Although the function $\#(n)$ depends on the set of generators T its rate of growth does not (see below) and therefore the rate of growth gives an invariant of a group.
		If $\#(n)\sim n^k$ we say that G has a polynomial growth rate of order k.
	www.jiggies.com /reference/Growth_rate_(group_theory) (503 words)

	Sociology of religion (Site not responding. Last check: 2007-11-01)
		With the rise of European industrialism, Marx and his colleague Engels witnessed and responded to the growth of what he called "surplus value." Marx’s view of capitalism saw rich capitalists getting richer and their workers getting poorer (the gap, the exploitation, was the "surplus value").
		A religious group or individual is influenced by all kinds of things, he says -- but if they claim to be acting in the name of religion, we should attempt to understand their perspective on religious grounds first.
		On the other hand, the rate of growth is exponential (ignoring the limited supply of potential converts): the more converts you have, the more missionaries you can have out looking for new converts.
	www.omniknow.com /common/wiki.php?in=en&term=Sociology_of_Religion (4895 words)

	Supply Side Economics
		Real interest rates have remained stable (they are at 2% in 1996 at the short-end of the maturity structure) and significantly lower than the high rates of the 1980s (5% in real terms).
		Since one of the main channell through which a flat tax should increase output and growth is the positive effect on national savings and investment, the evidence (from the 1980s tax cuts and the 1993 deficit reduction) suggests that a dlat tax would depress savings and investment through its effect on the budget deficit.
		Their likely effect on the level and growth rate on output is close to zero while they lead to significantly larger budget deficits.
	pages.stern.nyu.edu /~nroubini/SUPPLY.HTM (3376 words)

	Economic Policy in the International Economy - Cambridge University Press
		The authors investigate five principal themes: theory, and empirics, of financial issues in open economies; economic growth; public economies; and political economy.
		Economic growth, fiscal policy, taxation issues and political economy all receive careful attention, with all analyzed in the modern setting in which international trade and finance create so many links among nations.
		From public finance to trade, from growth to political economy, few contemporary economists have ranged as widely (and as wisely) as Assaf Razin.
	www.cambridge.org /aus/catalogue/catalogue.asp?isbn=0521815193 (811 words)

	Category:Group theory - Wikipedia, the free encyclopedia
		Articles and media on this topic in other Wikimedia projects can be found at: Commons Category Group theory
		In mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed in the group article.
		Group theory is that branch of mathematics concerned with the study of groups.
	en.wikipedia.org /wiki/Category:Group_theory (114 words)

	Non-Profits on E
		Theories of the Internet and the network society are discussed in third section, briefly touching upon disparity issues, the concept of technocapitalism, and its implications for the public sphere.
		Focus groups as a vehicle for research may draw upon the experience of experts in a given field in order to pull together thoughts and ideas from individuals who have a high level of knowledge in the field.
		The capitalisation on group dynamics and the explicit use of the group interaction enables the generation of data and insights that would be unlikely to emerge without the dynamic interaction that takes place in a group.
	www.firstmonday.org /issues/issue7_7/boeder (16067 words)

	ScienceWeek
		The authors report a study of ultrahigh compression and temperatures in bubbles nucleated by means of fast neutrons, whereby bubble nucleation centers with an initial radius of 10 to 100 nanometers are created, and the bubbles grow in an acoustic field to a maximum radius of approximately 1 millimeter before an implosive collapse.
		This report builds on observations that increasing the maximum radius modestly (e.g., by 50 percent), or increasing the rate of collapse, can result in very large increases in peak gas temperatures and produce light emission during implosions.
		In contrast to single-bubble experiments, in which the initial bubble radius typically increases to the maximum bubble radius by a factor of only approximately 10 (e.g., from 10 microns to 100 microns), the neutron-induced nucleation technique used by the authors results in bubble-radius increases of approximately 10^(5).
	www.scienceweek.com /2002/sw020329.htm (706 words)

	The Green Group
		"Reaction Rate Prediction via Group Additivity, Part 1: H Abstraction from Alkanes by H and CH3", Journal of Physical Chemistry A 105, 6910-6925 (2001).
		"Reaction Rate Prediction via Group Additivity, Part 2: H Abstraction from Alkenes, Alkynes, Alcohols, Aldehydes, and Acids by H Atoms", Journal of Physical Chemistry A 105, 8969-8984 (2001).
		Raman Sumathi, Hans-Heinrich Carstensen, and William H. Green, Jr., "Reaction Rate Prediction via Group Additivity, Part 3: Effect of Substituents with CH2 as the Mediator", Journal of Physical Chemistry A 106(22), 5474-5489 (2002).
	web.mit.edu /greengp/papers/reacratecalc.html (331 words)

	The KLI Theory Lab - keywords - group selection
		Hodgson, G.M. Hayek's theory of cultural evolution: An evaluation in the light of Vanberg's critique.
		Wade, M.J. Group selection, population growth rate, and competitive ability in the flour beetle, Tribolium spp.
		Wade, M.J. Group selection for increased and decreased competitive ability in subdivided populations of flour beetles.
	www.kli.ac.at /theorylab/Keyword/G/GroupSel.html (854 words)

	The KLI Theory Lab - keywords - Tribolium
		Keywords: competition • group selection • population growth rate • Tribolium.
		Keywords: group selection • interdemic selection • population biology • population growth rate • Tribolium.
		Wade, M.J. Genetic variance for rate of population increase in natural populations of flour beetles, Tribolium spp.
	www.kli.ac.at /theorylab/Keyword/T/Tribolium.html (475 words)

	Evolution & Development Unit - Group members
		I am interested in evolutionary and ecological aspects of growth and developmental rates, and thus many of my studies cross the borders of these fields of biology.
		The relationship between growth and development, and how that relationship affects morphogenesis and evolution, is of particular interest.
		My focus is on morphological evolution and to this end I have been forced to develop general theories about the interdependence between dynamics of development and the dynamics of evolution.
	www.biocenter.helsinki.fi /bi/evodevo/group.html (1575 words)

	Understanding Underdevelopment: Modernization Theory (Site not responding. Last check: 2007-11-01)
		The Stages of Economic Growth: Stages 1 and 2
		Take-Off: investment as a proportion of national income rises (at least to 10%); political and social institutions are reshaped to permit the pursuit of growth
		The Drive to Maturity: science and technology expands; the rate of investment remains high (20 to 30%); political reform continues (democracy?)
	www.udel.edu /poscir/jcarrion/p211/3lecture.htm (195 words)

	Talk:Growth rate (group theory) - Wikipedia, the free encyclopedia
		I agree, but I think it is better now than before, in anycase the subject is a bit advanced....
		The growth rate is ok, but I realized that defs of polynomial growth and exp growth here are not exactly standard.
		I want to fix it, but do not have books arrownd at the moment.
	en.wikipedia.org /wiki/Talk:Growth_rate_%28group_theory%29 (170 words)

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