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Economic development Economic and social development, as a public sector term, is the process by which the economic well-being and quality of life of a nation, region or local community are improved according to targeted goals and objectives. The term has been used frequently in the 20th and 21st centuries, but the con... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development Development and urban studies scholar Karl Seidman summarizes economic development as "a process of creating and utilizing physical, human, financial, and social assets to generate improved and broadly shared economic well-being and quality of life for a community or region". Daphne Greenwood and R... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development According to Schumpeter and Backhaus (2003), the changes in this equilibrium state to document in economic theory can only be caused by intervening factors coming from the outside. originated in the post-war period of reconstruction initiated by the United States. In 1949, during his inaugural spee... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development Borne out of the backdrop of Keynesian economics (advocating government intervention), and neoclassical economics (stressing reduced intervention), with the rise of high-growth countries (Singapore, South Korea, Hong Kong) and planned governments (Argentina, Chile, Sudan, Uganda), economic developm... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development There is an opposing argument, however, that growth causes development because some of the increase in income gets spent on human development factors such as education and health. According to Ranis et al., economic growth and development is a two-way relationship. According to them, the first chai... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development Lastly, social outcomes can also be improved with essential services such as education, healthcare, and clean drinking water (known as Capability Expansion through Social Services). John Joseph Puthenkalam's research aims at the process of economic growth theories that lead to economic development.... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development That is, without inclusive property rights in the equation, the informal sector will remain outside the mainstream economy, excluded and without the same opportunities for study. The economic development of countries can also be implicated or contributed by the multinational corporations' companies... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development In any case, it is important to not expect that particular economic development programs be able to fix many problems at once as that would be establishing unsurmountable goals for them that are highly unlikely they can achieve. Any development policy should set limited goals and a gradual approach... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development Beyond the incentive compatibility problems that can happen to foreign aid donations –that foreign aid granting countries continue to give it to countries with little results of economic growth but with corrupt leaders that are aligned with the granting countries’ geopolitical interests and agenda ... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development In addition, for contractionary monetary policy they utilize the federal funds rate, the short-term interest rates charged to banks. Seguino and Heintz Seguino concludes that the impact of a one percentage point increase in the federal funds rate relative to white and black women’s unemployment is ... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development practitioners generally work in public offices on the state, regional, or municipal level, or in public–private partnerships organizations that may be partially funded by local, regional, state, or federal tax money. These economic development organizations function as individual entities and in so... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development With over 4,500 members across the US and internationally, serving exclusively the economic development community, IEDC membership represents the entire range of the profession ranging from regional, state, local, rural, urban, and international economic development organizations, as well as chambe... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development European development economists have argued that the existence of modern transportation networks- such as high-speed rail infrastructure constitutes a significant indicator of a country's economic advancement: this perspective is illustrated notably through the Basic Rail Transportation Infrastruct... | https://en.wikipedia.org/wiki?curid=148131 |
Economic development With the struggle to attract and retain business, competition is further intensified by the use of many variations of economic incentives to the potential business such as: tax incentives, investment capital, donated land, utility rate discounts, and many others. IEDC places significant attention o... | https://en.wikipedia.org/wiki?curid=148131 |
Protectionism is the economic policy of restricting imports from other countries through methods such as tariffs on imported goods, import quotas, and a variety of other government regulations. Proponents argue that protectionist policies shield the producers, businesses, and workers of the import-competing sector in t... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism For example, some commentators, such as Jagdish Bhagwati, see developed countries' efforts in imposing their own labor or environmental standards as protectionism. Also, the imposition of restrictive certification procedures on imports is seen in this light. Further, others point out that free trade agree... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism According to economic historians Douglas Irwin and Kevin O'Rourke, "shocks that emanate from brief financial crises tend to be transitory and have a little long-run effect on trade policy, whereas those that play out over longer periods (the early 1890s, early 1930s) may give rise to protectionism that is... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism " According to some political theorists, protectionism is advocated mainly by parties that hold far-left, far-right or left-wing economic positions, while economically right-wing political parties generally support free trade. According to economic historian Douglas Irwin, a common myth about US trade pol... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism But American growth during its protectionist period was more to do with its abundant resources and openness to people and ideas.According to Paul Bairoch, the United States was "the mother country and bastion of modern protectionism" since the end of the 18th century and until the post-World War II period... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism Countries such as Britain, the Netherlands, Denmark, Portugal and Switzerland, and arguably Sweden and Belgium, had fully moved towards free trade prior to 1860. Economic historians see the repeal of the Corn Laws in 1846 as the decisive shift toward free trade in Britain. A 1990 study by the Harvard econ... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism Average duties on manufactured products had declined to 9–12% on the Continent, a far cry from the 50% British tariffs, and numerous prohibitions elsewhere, of the immediate post-Waterloo era (Bairoch, table 3, p. 6, and table 5, p. 42)." Some European powers did not liberalize during the 19th century, su... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism In Quebec, the Federation of Quebec Maple Syrup Producers manages the supply of maple syrup. According to one assessment, tariffs were "far higher" in Latin America than the rest of the world in the century prior to the Great Depression. There is a broad consensus among economists that protectionism has a... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism Other research found that China's entry to the WTO benefitted US consumers, as the price of Chinese goods were substantially reduced. Harvard economist Dani Rodrik argues that while globalization and free trade does contribute to social problems, "a serious retreat into protectionism would hurt the many g... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism One study found that tariffs imposed on manufactured goods increase economic growth in developing countries, and this growth impact remains even after the tariffs are repealed. According to Dartmouth economist Douglas Irwin, "that there is a correlation between high tariffs and growth in the late nineteen... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism Romer found, contrary to free trade skeptics' claims, while controlling for relevant factors, that trade does indeed have a positive impact on growth and incomes. There is broad consensus among economists that free trade helps workers in developing countries, even though they are not subject to the string... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism The problems are that protective tariffs will not be reduced after the infant industry reaches a foothold, and that governments will not pick industries that are likely to succeed. Economists have identified a number of cases across different countries and industries where attempts to shelter infant indus... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism According to a slogan of Frédéric Bastiat (1801–1850), "When goods cannot cross borders, armies will." Since the end of World War II, it has been the stated policy of most First World countries to eliminate protectionism through free trade policies enforced by international treaties and organizations such... | https://en.wikipedia.org/wiki?curid=153023 |
Protectionism Economists who have examined the impact of new trade-restrictive measures using detailed bilaterally monthly trade statistics estimated that new measures taken through late 2009 were distorting global merchandise trade by 0.25% to 0.5% (about $50 billion a year). Since then, however, President Donald Trum... | https://en.wikipedia.org/wiki?curid=153023 |
Public policy is the process by which governments translate their political vision into programmes and actions to deliver ‘outcomes — desired changes in the real world’. The ‘real world’ is constantly changing and this has resulted in the movement towards greater use of evidence in policy design, making and implementat... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy Its quality is measured by the capacity to create public value." Other scholars define public policy as a system of "courses of action, regulatory measures, laws, and funding priorities concerning a given topic promulgated by a governmental entity or its representatives." is commonly embodied in "constitu... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy Public problems can originate in endless ways and require different policy responses (such as regulations, subsidies, import quotas, and laws) on the local, national, or international level. The public problems that influence public policy making can be of economic, social, or political nature The Governm... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy The large set of actors in the public policy process, such as politicians, civil servants, lobbyists, domain experts, and industry or sector representatives, use a variety of tactics and tools to advance their aims, including advocating their positions publicly, attempting to educate supporters and oppone... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy This is a good example of how varying political beliefs can impact what is perceived as paramount for the electorate. Since societies have changed in the past decades, the public policy making system changed too. In the 2010s, public policy making is increasingly goal-oriented, aiming for measurable resul... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy On the state level, public policies involve laws enacted by the state legislatures, decisions made by state courts, rules developed by state bureaucratic agencies, and decisions made by governors. Data-driven policy is a policy designed by a government based on existing data, evidence, rational analysis a... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy However, some areas of policy-relevant knowledge are not well served by quantitative research, leading to debate about the methods and instruments that are considered critical for the collection of relevant evidence. For instance, policies that are concerned with human rights, public acceptability, or soc... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy Evidence-based policy is associated with Adrian Smith because in his 1996 presidential address to the Royal Statistical Society, Smith questioned the current process of policy making and urged for a more “evidence-based approach” commenting that it has “valuable lessons to offer”. Some policy scholars now... | https://en.wikipedia.org/wiki?curid=153324 |
Public policy Policy creation in America is often seen as unique to other states. As an academic discipline, public policy brings in elements of many social science fields and concepts, including economics, sociology, political economy, social policy, program evaluation, policy analysis, and public management, all as a... | https://en.wikipedia.org/wiki?curid=153324 |
Phillips curve The is a single-equation economic model, named after William Phillips, describing an inverse relationship between rates of unemployment and corresponding rates of rises in wages that result within an economy. Stated simply, decreased unemployment, (i.e., increased levels of employment) in an economy will... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve Nonetheless, the remains the primary framework for understanding and forecasting inflation used in central banks. William Phillips, a New Zealand born economist, wrote a paper in 1958 titled "The Relation between Unemployment and the Rate of Change of Money Wage Rates in the United Kingdom, 1861-1957", w... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve For example, monetary policy and/or fiscal policy could be used to stimulate the economy, raising gross domestic product and lowering the unemployment rate. Moving along the Phillips curve, this would lead to a higher inflation rate, the cost of enjoying lower unemployment rates. Economist James Forder a... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve It would be wrong, though, to think that our Figure 2 menu that related obtainable price and unemployment behavior will maintain its same shape in the longer run. What we do in a policy way during the next few years might cause it to shift in a definite way." As Samuelson and Solow had argued 8 years ear... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve This can be seen in a cursory analysis of US inflation and unemployment data from 1953–92. There is no single curve that will fit the data, but there are three rough aggregations—1955–71, 1974–84, and 1985–92—each of which shows a general, downwards slope, but at three very different levels with the shif... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve However, this long-run "neutrality" of monetary policy does allow for short run fluctuations and the ability of the monetary authority to temporarily decrease unemployment by increasing permanent inflation, and vice versa. The popular textbook of Blanchard gives a textbook presentation of the expectation... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve The original literature was not based on the unaided application of economic theory. Instead, it was based on empirical generalizations. After that, economists tried to develop theories that fit the data. The traditional story starts with a wage Phillips Curve, of the sort described by Phillips himself. ... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve During the 1970s, this story had to be modified, because (as the late Abba Lerner had suggested in the 1940s) workers try to keep up with inflation. Since the 1970s, the equation has been changed to introduce the role of inflationary expectations (or the expected inflation rate, "gP"). This produces the ... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve In addition, the function f() was modified to introduce the idea of the non-accelerating inflation rate of unemployment (NAIRU) or what's sometimes called the "natural" rate of unemployment or the inflation-threshold unemployment rate: Here, "U*" is the NAIRU. As discussed below, if "U" < "U"*, inflation... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve This would be consistent with an economy in which actual real wages increase with labor productivity. Deviations of real-wage trends from those of labor productivity might be explained by reference to other variables in the model. Next, there is price behavior. The standard assumption is that markets are... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve Thus, an equation determining the price inflation rate (gP) is: Then, combined with the wage [equation 1] and the assumption made above about the trend behavior of money wages [equation 2], this price-inflation equation gives us a simple expectations-augmented price Phillips curve: Some assume that we ca... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve That is, a low unemployment rate (less than U*) will be associated with a higher inflation rate in the long run than in the short run. This occurs because the actual higher-inflation situation seen in the short run feeds back to raise inflationary expectations, which in turn raises the inflation rate fur... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve Instead of starting with empirical data, he started with a classical economic model following very simple economic principles. Start with the aggregate supply function: where Y is log value of the actual output, Y is log value of the "natural" level of output, a is a positive constant, P is log value of ... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve We re-arrange the equation into: Next we add unexpected exogenous shocks to the world supply v: Subtracting last year's price levels P will give us inflation rates, because and where π and π are the inflation and expected inflation respectively. There is also a negative relationship between output and un... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve The long-run Phillips Curve was thus vertical, so there was no trade-off between inflation and unemployment. Edmund Phelps won the Nobel Prize in Economics in 2006 in part for this work. However, the expectations argument was in fact very widely understood (albeit not formally) before Phelps' work on it.... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve With the actual rate equal to it, inflation is stable, neither accelerating nor decelerating. One practical use of this model was to explain stagflation, which confounded the traditional Phillips curve. The rational expectations theory said that expectations of inflation were equal to what actually happe... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve Furthermore, the concept of rational expectations had become subject to much doubt when it became clear that the main assumption of models based on it was that there exists a single (unique) equilibrium in the economy that is set ahead of time, determined independently of demand conditions. The experienc... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve However, as it is argued, these presumptions remain completely unrevealed and theoretically ungrounded by Friedman. Economists such as Edmund Phelps reject this theory because it implies that workers suffer from money illusion. According to them, rational workers would only react to real wages, that is, ... | https://en.wikipedia.org/wiki?curid=153390 |
Phillips curve They reject the entirely, concluding that unemployment's influence is only a small portion of a much larger inflation picture that includes prices of raw materials, intermediate goods, cost of raising capital, worker productivity, land, and other factors. Robert J. Gordon of Northwestern University has a... | https://en.wikipedia.org/wiki?curid=153390 |
Parable of the broken window The parable of the broken window was introduced by French economist Frédéric Bastiat in his 1850 essay "Ce qu'on voit et ce qu'on ne voit pas" ("That Which We See and That Which We Do Not See") to illustrate why destruction, and the money spent to recover from destruction, is not actually a... | https://en.wikipedia.org/wiki?curid=157267 |
Parable of the broken window Moreover, Bastiat does not take into account only the consequences of breaking the window for one group but for all groups, for society as a whole. Austrian theorists cite this fallacy, saying it is a common element of popular thinking (e.g., the "Cash for Clunkers" program, etc.). The 20th... | https://en.wikipedia.org/wiki?curid=157267 |
Parable of the broken window Areas that have had repeated disasters tend to invest more in skills and education (possibly because this is preferred to riskier investment in infrastructure, which might be destroyed again), and they tend to have a higher total factor productivity (possibly also because infrastructure des... | https://en.wikipedia.org/wiki?curid=157267 |
Parable of the broken window The economic costs of disruption to children's education are significant. Mental health issues may be triggered or exacerbated by the distress suffered during the disaster. Health advice on minimizing psychosocial stress has been given for disasters. While public health costs may contribute... | https://en.wikipedia.org/wiki?curid=157267 |
Howl "Howl", also known as "for Carl Solomon", is a poem written by Allen Ginsberg in 1954–1955 and published in his 1956 collection "and Other Poems". The poem is dedicated to Carl Solomon. Ginsberg began work on "Howl" in 1954. In the Paul Blackburn Tape Archive at the University of California, San Diego, Ginsberg ca... | https://en.wikipedia.org/wiki?curid=158051 |
Howl As was his wont, Ginsberg took notes on his vision, and these became the basis for Part II of the poem. In late 1954 and 1955, in an apartment he had rented at 1010 Montgomery Street in the North Beach neighborhood of San Francisco, Ginsberg worked on the poem, originally referring to it by the working title "Stro... | https://en.wikipedia.org/wiki?curid=158051 |
Howl Ginsberg began the poem in the stepped triadic form he took from Williams but, in the middle of typing the poem, his style altered such that his own unique form (a long line based on breath organized by a fixed base) began to emerge. Ginsberg would experiment with this breath-length form in many later poems. The f... | https://en.wikipedia.org/wiki?curid=158051 |
Howl "I never asked him, and he never offered," Orlovsky told them, "but there were things he would pick up on and use in his verse form some way or another. Poets do it all the time." The Dedication by Ginsberg states he took the title from Kerouac. The poem was first performed at the Six Gallery in San Francisco on O... | https://en.wikipedia.org/wiki?curid=158051 |
Howl In response to Ginsberg's reading, McClure wrote: "Ginsberg read on to the end of the poem, which left us standing in wonder, or cheering and wondering, but knowing at the deepest level that a barrier had been broken, that a human voice and body had been hurled against the harsh wall of America..." Soon afterwards... | https://en.wikipedia.org/wiki?curid=158051 |
Howl " The poem consists of 112 paragraph-like lines, which are organized into three parts, with an additional footnote. Called by Ginsberg "a lament for the Lamb in America with instances of remarkable lamb-like youths", Part I is perhaps the best known, and communicates scenes, characters, and situations drawn from G... | https://en.wikipedia.org/wiki?curid=158051 |
Howl Ginsberg was inspired to write Part II during a period of peyote-induced visionary consciousness in which he saw a hotel façade as a monstrous and horrible visage which he identified with that of Moloch, the Biblical idol in Leviticus to whom the Canaanites sacrificed children. Ginsberg intends that the characters... | https://en.wikipedia.org/wiki?curid=158051 |
Howl The closing section of the poem is the "Footnote", characterized by its repetitive "Holy!" mantra, an ecstatic assertion that everything is holy. Ginsberg says, "I remembered the archetypal rhythm of Holy Holy Holy weeping in a bus on Kearny Street, and wrote most of it down in notebook there... I set it as 'Footn... | https://en.wikipedia.org/wiki?curid=158051 |
Howl On June 3 Shig Murao, the bookstore manager, was arrested and jailed for selling "and Other Poems" to an undercover San Francisco police officer. City Lights publisher Lawrence Ferlinghetti was subsequently arrested for publishing the book. At the obscenity trial, nine literary experts testified on the poem's beha... | https://en.wikipedia.org/wiki?curid=158051 |
Howl A Liberal-Party member of the Finnish Parliament, Arne Berner, heard the broadcast, and started an interpellation, addressed to the Minister of Transport and Public Works. It was signed by him and 82 other members of the 200 members of parliament. It is unclear how many of the other signatories actually had heard ... | https://en.wikipedia.org/wiki?curid=158051 |
Howl The result of Eberhart's visit was an article published in the September 2, 1956 "New York Times Book Review" titled "West Coast Rhythms". Eberhart's piece helped call national attention to "Howl" as "the most remarkable poem of the young group" of poets who were becoming known as the spokespersons of the Beat gen... | https://en.wikipedia.org/wiki?curid=158051 |
Howl The station chose instead to play the poem on a special webcast program, replete with commentary (by Bob Holman, Regina Weinreich and Ron Collins, narrated by Janet Coleman), on October 3, 2007. Part II of the poem was used as libretto for Song #7 in "Hydrogen Jukebox", a chamber opera using a selection of Ginsber... | https://en.wikipedia.org/wiki?curid=158051 |
Goodhart's law is an adage named after economist Charles Goodhart, which has been phrased by Marilyn Strathern as "When a measure becomes a target, it ceases to be a good measure." One way in which this can occur is individuals trying to anticipate the effect of a policy and then taking actions that alter its outcome. ... | https://en.wikipedia.org/wiki?curid=159956 |
Goodhart's law When the goals are instantiated as metrics, this could be seen as equivalent to Goodhart and Campbell's claim. Shortly after Goodhart's publication, others suggested closely related ideas, including the Lucas critique (1976). As applied in economics, the law is also implicit in the economic idea of ratio... | https://en.wikipedia.org/wiki?curid=159956 |
Goodhart's law (named after the British economist who may have been the first to announce it) states that when a feature of the economy is picked as an indicator of the economy, then it inexorably ceases to function as that indicator because people start to game it. The law is richly illustrated in the 2018 book "The T... | https://en.wikipedia.org/wiki?curid=159956 |
Lagrange multiplier In mathematical optimization, the method of Lagrange multipliers is a strategy for finding the local maxima and minima of a function subject to equality constraints (i.e., subject to the condition that one or more equations have to be satisfied exactly by the chosen values of the variables). The bas... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier The method can be summarized as follows: in order to find the stationary points of a function formula_1 subjected to the equality constraint formula_2, form the Lagrangian function and find the stationary points of formula_4 considered as a function of formula_5 and the formula_6. The solution corre... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier ) We assume that both formula_21 and formula_22 have continuous first partial derivatives. We introduce a new variable (formula_23) called a (or Lagrange undetermined multiplier) and study the Lagrange function (or Lagrangian or Lagrangian expression) defined by where the formula_23 term may be eith... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier If it were, we could walk along formula_35 to get higher, meaning that the starting point wasn't actually the maximum. Viewed in this way, it is an exact analogue to testing if the derivative of an unconstrained function is 0, that is, we are verifying that the directional derivative is 0 in any rel... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier Notice that this method also solves the second possibility, that formula_21 is level: if formula_21 is level, then its gradient is zero, and setting formula_63 is a solution regardless of formula_64. To incorporate these conditions into one equation, we introduce an auxiliary function and solve Note... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier As the only feasible solution, this point is obviously a constrained extremum. However, the level set of formula_77 is clearly not parallel to either constraint at the intersection point (see Figure 3); instead, it is a linear combination of the two constraints' gradients. In the case of multiple co... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier In other words, formula_93. Thus there are scalars formula_94 such that These scalars are the Lagrange multipliers. We now have formula_79 of them, one for every constraint. As before, we introduce an auxiliary function and solve which amounts to solving formula_99 equations in formula_99 unknowns. ... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier For this it is necessary and sufficient that the following system of formula_122 equations holds: where formula_124 denotes the exterior product. The stationary points formula_5 are the solutions of the above system of equations plus the constraint formula_126 Note that the formula_127 equations are... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier If formula_159 denotes the exterior product of the columns of the matrix of formula_160 the stationary condition for formula_115 at formula_5 becomes Once again, in this formulation it is not necessary to explicitly find the Lagrange multipliers, the numbers formula_164 such that Often the Lagrange ... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier Moreover, by the envelope theorem the optimal value of a has an interpretation as the marginal effect of the corresponding constraint constant upon the optimal attainable value of the original objective function: if we denote values at the optimum with an asterisk, then it can be shown that For exam... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier The first two equations yield By substituting into the last equation we have: so which implies that the stationary points of formula_4 are Evaluating the objective function at these points yields Thus the constrained maximum is formula_183 and the constrained minimum is formula_184. Now we modify th... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier See that any multiple of may be added to leaving unchanged in the region of interest (on the circle where our original constraint is satisfied). Apply the ordinary Langrange multiplier method. Let: Now we can calculate the gradient: And therefore: Notice that (iii) is just the original constraint. (... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier This is the same as saying that we wish to find the least structured probability distribution on the points formula_221. In other words, we wish to maximize the Shannon entropy equation: For this to be a probability distribution the sum of the probabilities formula_223 at each point formula_224 must... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier As a simple example, consider the problem of finding the value of that minimizes formula_236, constrained such that formula_237. (This problem is somewhat pathological because there are only two values that satisfy this constraint, but it is useful for illustration purposes because the corresponding... | https://en.wikipedia.org/wiki?curid=159974 |
Lagrange multiplier In optimal control theory, the Lagrange multipliers are interpreted as costate variables, and Lagrange multipliers are reformulated as the minimization of the Hamiltonian, in Pontryagin's minimum principle. The method has several generalizations. In nonlinear programming there are several multiplier... | https://en.wikipedia.org/wiki?curid=159974 |
First World The concept of originated during the Cold War and included countries that were generally aligned with NATO and opposed to the Soviet Union during the Cold War. Since the collapse of the Soviet Union in 1991, the definition has instead largely shifted to any country with little political risk and a well func... | https://en.wikipedia.org/wiki?curid=160353 |
First World In contemporary society, the is viewed as countries that have the most advanced economies, the greatest influence, the highest standards of living, and the greatest technology. After the Cold War, these countries of the included member states of NATO, U.S.-aligned states, neutral countries that were develop... | https://en.wikipedia.org/wiki?curid=160353 |
First World In 1945, the United Nations used the terms first, second, third, and fourth worlds to define the relative wealth of nations (although popular use of the term fourth world did not come about until later). There are some references towards culture in the definition. They were defined in terms of Gross Nationa... | https://en.wikipedia.org/wiki?curid=160353 |
First World The complete overthrow of the pre–World War II status quo, known as the Cold War, left two superpowers (the United States and the Soviet Union) vying for ultimate global supremacy. They created two camps, known as blocs. These blocs formed the basis of the concepts of the First and Second Worlds. Early in t... | https://en.wikipedia.org/wiki?curid=160353 |
First World With the coining of the term Third World directly, the first two groups came to be known as the "First World" and "Second World" respectively. Here the three-world system emerged. However, Shuswap Chief George Manuel believes the Three World Model to be outdated. In his 1974 book "The Fourth World: An India... | https://en.wikipedia.org/wiki?curid=160353 |
First World S) and the Molotov Plan (from the Soviet Union). The extent of the odds between the two worlds is evident in Berlin—which was then split into East and West. To stop citizens in East Berlin from having too much exposure to the capitalist West, the Soviet Union put up the Berlin Wall within the actual city. T... | https://en.wikipedia.org/wiki?curid=160353 |
First World The movement of people and information largely characterizes the inter-world relationships in the present day. A majority of breakthroughs and innovation originate in Western Europe and the U.S. and later their effects permeate globally. As judged by the Wharton School of Business at the University of Penns... | https://en.wikipedia.org/wiki?curid=160353 |
First World The Third World has lower living standards as compared to the First World. Information about the comparatively higher living standards of the comes through television, commercial advertisements and foreign visitors to their countries. This exposure causes two changes: a) living standards in some Third World... | https://en.wikipedia.org/wiki?curid=160353 |
First World However, China leads the world in total emissions, but its large population skews its per-capita statistic lower than those of more developed nations. As large consumers of fossil fuels, countries drew attention to environmental pollution. The Kyoto Protocol is a treaty that is based on the United Nations F... | https://en.wikipedia.org/wiki?curid=160353 |
First World European scholars and practitioners of international politics hoped to theorize ideas and then create policies based on those ideas that would cause newly independent colonies to change into politically developed sovereign nation-states. However, most of the theorists were from the United States, and they w... | https://en.wikipedia.org/wiki?curid=160353 |
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