He wanted to know how many pairs of rabbits will be produced each year if we begin with a single pair which mature during the first month and then produce another pair of rabbits every month after that. The Fibonacci sequence of numbers answers that question" (Clawson, p
First the seedling's main stem forked (1), then one of its secondary stems forked (1), then simultaneously a secondary and tertiary stem forked (2), then simultaneously three lesser stems forked (3), and so forth. Furthermore, Einstein learned, the numbers of petals of various flowers, too, recapitulated the numbers of the Fibonacci series: An iris almost always had three petals, a primrose five petals, a ragwort thirteen petals, a daisy thirty-four petals, and a michaelmas daisy either fifty-five or eighty-nine petals (Jenkins, p
Chairs in a Row: The Singles Version Source: Knott, 2008. The author concludes this problem by asking, "What about 4 seats in a row? And 5?" (Knott, p
262). While the golden section was not the only constant to which the Cubists referred for the mathematical organization of their canvas, it reflected the profound need for order and measure that they felt more through sensibility and reason than as a result of calculation (Lake & Maillard, p
" Thereafter, the students extend the pattern down column a to display the first ten results as shown in Table 2 below. After the students enter the first ten Fibonacci numbers in the spreadsheet, the teacher asks, "When do you think the Fibonacci number will be greater than one million?" It is extremely easy to modify the Fibonacci sequence, and students can see the interesting patterns that result as shown in Table 3 below (Ploger et al
148). The continuing emphasis on the Fibonacci series is based on the fact that this series generates the most famous proportion in the history of art and architecture: the Euclidean golden section or golden ratio (shorthand phi) (Smith, 2003)
148). The continuing emphasis on the Fibonacci series is based on the fact that this series generates the most famous proportion in the history of art and architecture: the Euclidean golden section or golden ratio (shorthand phi) (Smith, 2003)
As Trachtenberg points out, "In this case the 'quinto acuto' curvature, the interior Baptistery height, and the Fibonacci series all produce the identical 55 braccia Cupola dimension, as well as the 144 dimension. The Fibonacci series [was] among the standard planning techniques of the period" (Trachtenberg, p
A person arguing in favor of the viewpoint that overpopulation is not a cause of political instability would likely use India's recent economic success as proof that a huge population is not necessarily indicative of political or economic strife. In examining countries like Argentina and Japan, the authors of the 1996 article entitled, "Political Instability and Economic Growth" (Alesina; Ozler; Roubini; and Swagel, 1996, pp
Barro, there exists an indirect positive link between positive population growth and political stability. He argues that the countries with the highest growth rates in GDP have historically been those with the largest population growth and therefore largest pools of human labor capital (Barro, 1991, pp
While the link between political instability and population growth cannot always be directly proven through case study, it is very hard to show the contrary, at least statistically. In "A Sensitivity Analysis of Cross-Country Growth Regression" (Levin, and Renelt, 1992), the authors show that there are statistical links between the population growth rate of a country and the country's political and economic stability
He argues that the means of political destabilization that occurred in countries such as Burma and Vietnam was through overpopulation and lack of complex government control. The populations of these nations were allowed to grow unchecked, and in an era when centralized government was having a hard time keeping up with the large number of dissenting voices coming from the unskilled laborers, political instability resulted (Olson Jr., 1963, pp
The connection between overpopulation and political instability is no clearer than in nations such as Somalia and other sub-Saharan African nations. Their unemployment and crime rates are sky high (Osborne, 2002, pp
Peron's book, Exploding Population Myths (2006) argues that overpopulation is not the problem that leads to a failed state or to political instability. He feels that the state itself leads to the overpopulation problem, by means of corrupt or imperfect practices (Peron, 2006)
Certainly there have been many advances in the technology that the world has to grow larger amounts of food more efficiently, but there still exist severe resource shortages in some parts of the world. The rate at which food can be grown has been shown to be non-linear, but that doesn't mean that industrialized countries around the world should turn a blind eye to the effects of overpopulation (Ratner, 2004, pp
This does not mean however that overpopulation does no exacerbate the potential for political instability. Any time there is a large group of people who are unemployed or unhappy with their own condition, there will also exist political and social turmoil (Schmuck and Shultz, 2002)
The argument that technological advancements will help to save the world from resource struggles and wars only goes so far. Certainly there is a critical mass or tipping point where the world population would exceed the raw resources required to sustain it (Schwartzman, 2008, pp
Countries like India had to evolve economically in order to survive politically. If the population of India were to grow without sufficient educational and political structure to help guide the development of a more complex economy, the masses of unskilled workers and unemployed people would overrun the nation's political system in an effort to secure the vast amounts of capital and resources necessary to sustain the overpopulated state (Shrivastave, 1992, pp
The government realized that the country's population was beginning to spiral out of control and it created many incentives for parents to have only one child. As the Chinese economy grew and began to become modernized around the 1950's and 1960's, the issue of overpopulation was brought to the foreground as the nation strained to develop technologically (Zhao, 1986, pp
After a few prosperous years of wheat farming, the price of wheat dropped, and it continued dropping for several years, causing the farmers to rip up ever-larger areas of perennial grass for the cultivation of annual crops, until virtually all of the shortgrass prairie had been plowed…the rain pattern in the High Plains shifted. In 1931, an eight-year period of drought began, and the stage was set for catastrophe" (Welch 2010, p