Golden Ratio :: essays research papers

What is the Golden Ratio The golden ration can occur anywhere. The golden proportion is the ratio of the shorter length to the longer length which equals the ratio of the longer length to the sum of both lengths. The golden ratio is a term used to describe proportioning in a piece. In a work of art or architecture, if one maintained a ratio of small elements to larger elements that was the same as the ratio of larger elements to the whole, the end result was pleasing to the eye. The ratio for length to width of rectangles is 1.61803398874989484820. The numeric value is called â€Å"phi†. The Golden Ratio is also known as the golden rectangle. The Golden Rectangle has the property that when a square is removed a smaller rectangle of the same shape remains, a smaller square can be removed and so on, resulting in a spiral pattern. The Golden Rectangle is a unique and important shape in mathematics. The Golden Rectangle appears in nature, music, and is often used in art and architecture. Some thing special about the golden rectangle is that the length to the width equals approximately 1.618†¦Ã¢â‚¬ ¦   Ã‚  Ã‚  Ã‚  Ã‚  Golden Ration = Length = 1.6   Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚   Width The golden rectangle has been discovered and used since ancient times. Our human eye perceives the golden rectangle as a beautiful geometric form. The symbol for the Golden Ratio is the Greek letter Phi. The Fibonacci Series was discovered around 1200 A.D. Leonardo Fibonacci discovered the unusual properties of the numeric series, that’s how it was named. It is not proven that Fibonacci even noticed the connection between the Golden Ratio meaning and Phi. The Renaissance used the Golden Mean and Phi in their sculptures and paintings to achieve vast amounts balance and beauty. The Golden Ratio in Architecture and Art Throughout the centuries, artists have used the golden ratio in their own creations. An example is â€Å"post† by Picasso. When using a golden mean gauge you can see that the lines are spaced to the Golden Proportion. The Golden Ratio also appears in the Parthenon in Athens. It was built about 440 B.C.; it forms a perfect Golden Rectangle. The exterior dimensions form Golden Rectangle. The Golden Ratio also appears in the front face, which is found to be Phi times as wide as it is tall, so therefore it is a Golden Rectangle. The height of the roof is Phi times the space between the tops of the columns and the bottom of the roof.

Brazil Will Eventually Become Economic Powerhouse Essay

Currently, Brazil with its population hitting 186. 6 million has the ninth largest economy in the world (Jaeger, p. 2). Since the beginning of the 21st century the country has been enjoying a well-established economic stability, low inflation, high productivity rates and developing macro-economic infrastructure. Currently, Brazilian economic indexes are gradually improving in their dynamics, though some of them still remain on the average level for Latin American region. In particular, GDP growth in 2006 was hardly over 3% (Estevao). Since the middle of the last century Brazil was expected to develop shortly into â€Å"the world’s next economic power. † However due to two-decade long economic stagnation and financial crises in the mid-1980s Brazil has lost its positions and fell short of expectations regarding its economic development, especially in comparison with rapidly progressing economies of the countries in Asian region, such as China, Taiwan or South Korea, etc. (Adrogue, Cerisola & Gelos, p. 3). Nevertheless, in the 1990s a series of well-planned governmental policies were implemented and Brazilian economy went through a number of structural economic changes, which allowed achieving certain stability, especially on macro-economic level. Therefore, country’s inflation was taken under control, external debt was considerably decreased, and numerous measures directed on reformation of financial infrastructure, liberalization of trade, achieving price stability and stimulating general economic growth were undertaken (Jaeger, p. 5-6). This way the country managed to improve its international image and gain a reputation of â€Å"trustworthy† nation again. As a result, since recent times Brazil has been receiving a lot of private investments. Foreign investors are attracted by high return of their funds and relatively low risks. Such significant factors, as good demographic situation in the country, high interest rates, stable political situation and prudent governmental policies regarding overseas trade, created absolutely favorable environment for foreign businessmen, who intend to invest their funds and start their businesses in Brazil. Good investment climate and economic stability are not the only factors determining future rise of Brazilian economy. In addition to that, Brazil is very rich with various natural resources. Those are, first of all, huge territories of arable lands available for cultivation of a great variety of crops. Moreover, there are large mineral and plant resources including iron, copper and even gold, which have not been even properly explored yet. That is why there are great opportunities for different industrial and agricultural companies in Brazil. Undoubtedly, there are some problems which require immediate attention and solution in order to fasten economic development and achieve high levels of social wellbeing. Those include corrupted educational system and problems with human capital, insufficient financial and fiscal systems, poverty and income disparities, etc. Certainly, such reforms are hard to implement within some short period of time, therefore, positive transformations are expected to become effective gradually. Nevertheless, modern Brazil can be called the â€Å"country of the future† with its huge national market, cheap working power, abundance of natural resources, and many other factors determining a large long-term economic potential of the country (Jaeger, p. 2). Great economic stability and openness, steady increase in manufacturing and consumption, establishment of new international trade connections and other fundamentals will definitely contribute greatly to future prosperity and economic power of the country. Works Cited: Estevao, Marcello. â€Å"Brazil Seeks to Unlock Economic Potential. † International Monetary Fund. 26 Feb. 2007. 25 Nov. 2007 . Jaeger, Marcus. Brazil: Economic scenarios for the next 15 years. Ed. Maria L. Lanzeni. Deutsche Bank Research. Frankfurt Am Main: Deutsche Bank AG, 2006 Adrogue, Richardo, Martin Cerisola and Gaston Gelos. Brazil’s Long-Term Growth Performance -Trying to Explain the Puzzle. International Monetary Fund, unpublished manuscript, December 2006.

Poetry Writing Courses for International Students

Poetry Writing Courses for International Students Poetry Writing Courses for International Students People usually write poems because they want to capture a moment or certain emotion they have experienced. Poetry employs a different approach to communication with the reader. This genre of literature has its own devices and techniques to convey your experience to the audience. Practice makes perfect, but if you write poems, or at least tried to, you know that prior knowledge of these techniques is extremely helpful. Here is a list of courses that will help you start the journey into poetry, improve your skills as a writer and publish your work. Some of the courses are free and some of them are paid, but all of them are online, and thus, suitable for international students. â€Å"What is poetry?† from OpenLearn is a free course, a popular platform for online studies. It is great for beginners as it covers the basics, teaches how to use writing techniques and literary devices. This course is designed for people who wish to start writing poems, but for some reason keep postponing. It can help you realize what stops you from writing, and free your imagination. â€Å"Poetry writing† form Gotham Writers is useful for those who cant find their way with words. The course teaches how to make the most powerful impact on the reader, but also addresses the forms of poetry and writing techniques. This course is also held in New York, so you can take it in person if you live near this location, or if you are going to visit the city in time of their workshop. â€Å"Writing poetry† from University of Oxford focuses on writing devices and how to use them. If you trust university education more than private courses, than this course might be better for you. After completing it, you will feel more confident in your writing skills, learn different types of verse forms and poetic structures. â€Å"Poetry writing course† from London School of Journalism consists of 8 lessons. It is a complete course that walks you through from the basics to getting published. If you want to find your personal style this one is definitely for you. â€Å"ENGL 310: Modern Poetry† is one of the introductory courses from Yale University. It consists of 25 free lectures and an exam. The course is useful for people who would like to get acquainted with authors of modern poetry and find inspiration in their writing. â€Å"Writing and reading poetry†, interestingly enough, is yet another poetry writing course from Massachusetts Institute of Technology. It has an emphasis on practice of making poetry and analyzing 20th century poetry. This course is more useful for students, who already know everything in theory and want to start practicing. If you want to start writing poems or you do, but feel like something is missing from your work, or you just cant get published for some reason, take up an online course. Fill the gaps in your knowledge or skills. On another note, in an auditorium, you will have to share your progress with a bunch of other students. If you are a beginner and feel intimidated with taking a creative group course, an online programme is a good place to start. Visit our trustworthy writing service to buy student essays online if you need help with writing your academic papers.

Free Essays on Medicinal Plants Of The Rainforest

Medicinal Plants of the Rainforest Of the 265,000 species of flowering plants that have been identified on this planet, only 0.5% of them have been studied in detail for chemical composition and medicinal value. In fact, modern scientists only know the chemical composition of less than 5% of the flora in the rainforest. However, indigenous peoples who live in the rainforest can identify specific uses for 49-82% of the trees in their local environment. In fact, 75% of the world population still use plants and plant extracts for their medicinal needs. Indigenous people of the rainforest provide priceless resources in the form of knowledge about the potential usefulness of medicinal plants. It can even be argued that the knowledge of tropical plants as medicinal resources is more in danger of extinction that the actual plants themselves. When the Europeans first came to Amazonia, the estimated population of indigenous peoples was 6.8 million, but by the early 1970's the population was estimated at about 500,000. The use of medicinal plants can be traced back to ancient China, India, Greece and Persia. As early as 1552, the Aztecs that were conquered by the Spaniards used medicinal plants as â€Å"peace offerings† to the king of Spain who was on quests to find new medicines and species in the newly conquered land. By the 19th century scientists treated malaria with quinine extracted from the bark of the cinchona tree. In the 1960's scientists discovered that an ingredient in the Madagascar rosy periwinkle could be used to treat some types of childhood leukemia. Today two anti-tumor agents are found in the rosy periwinkle, one of which provides for a 99% chance of remission in lymphocytic leukemia and the other offers a 58% chance of life in remission to sufferers of Hodgkin's Disease. Before 1960, there was only a nineteen percent survival rate of people with Hodgkin’s Disease. There are also many plants that contain chemicals that c... Free Essays on Medicinal Plants Of The Rainforest Free Essays on Medicinal Plants Of The Rainforest Medicinal Plants of the Rainforest Of the 265,000 species of flowering plants that have been identified on this planet, only 0.5% of them have been studied in detail for chemical composition and medicinal value. In fact, modern scientists only know the chemical composition of less than 5% of the flora in the rainforest. However, indigenous peoples who live in the rainforest can identify specific uses for 49-82% of the trees in their local environment. In fact, 75% of the world population still use plants and plant extracts for their medicinal needs. Indigenous people of the rainforest provide priceless resources in the form of knowledge about the potential usefulness of medicinal plants. It can even be argued that the knowledge of tropical plants as medicinal resources is more in danger of extinction that the actual plants themselves. When the Europeans first came to Amazonia, the estimated population of indigenous peoples was 6.8 million, but by the early 1970's the population was estimated at about 500,000. The use of medicinal plants can be traced back to ancient China, India, Greece and Persia. As early as 1552, the Aztecs that were conquered by the Spaniards used medicinal plants as â€Å"peace offerings† to the king of Spain who was on quests to find new medicines and species in the newly conquered land. By the 19th century scientists treated malaria with quinine extracted from the bark of the cinchona tree. In the 1960's scientists discovered that an ingredient in the Madagascar rosy periwinkle could be used to treat some types of childhood leukemia. Today two anti-tumor agents are found in the rosy periwinkle, one of which provides for a 99% chance of remission in lymphocytic leukemia and the other offers a 58% chance of life in remission to sufferers of Hodgkin's Disease. Before 1960, there was only a nineteen percent survival rate of people with Hodgkin’s Disease. There are also many plants that contain chemicals that c...

The Impact of Information Technology on the Society Research Paper

The Impact of Information Technology on the Society - Research Paper Example Information technology was not as advanced as it is today and communication was also expensive and efficient. A few decades ago a huge revolution in communication and computing occurred which were the markers of information technology advancement. In the last few decades, swift progress in the field of technology mostly in huge internet spread made the technology even more intensive among people. These developments have changed the way many businesses operate such as education, medicine, and commerce. When the human race began to communicate with others, they were proficient in using language and also other important and simpler techniques as in drawings. The era of this sort of technique was known as pre-mechanical and no intricate communication devices were in use. As the time passed, human beings indulged in using papers, and alphabets which improve the communication devices. With the passage of time, this technique changed to the overall development of libraries and books for sto ring information. In the later years, many number systems came into being by making communication easier. The mechanization of technologies of communication made use of analog computers development as in Blaise Pascal, which Pascaline invented. In the electromechanical period, telecommunication was developed. This period was not without its innovation of telephone, radio, and telegraph. The period was taken over by the huge production of personal computers that could easily be used at offices and at homes.  ... Contemporary world followed this period which was mainly dominated by digitized computers. The modern developments involve central processing invention units with memory and logic. The personal computers came as benevolence to people (Library and Information Technology Association, 1982).   Literature review In 2012, Nasir, Sultan, and Khattak also argued that these developments in the field of information technology have paved the way for human communication expansion. This has transformed the cultures and traditions of various groups of society. Furthermore, human beings have been united by this information technology and world is now a global village. The evolution of these technologies and also rapid development of higher developed ones have been made possible. Media industry has also seen a drastic development due to this information technology. In 2012, Heinz and Hirschheim said that many fields of sciences are now enhanced due to information technology. These developments en riched the many experiences of human nature such as human interactions and business. In 2004, Onwuegbuzie and Qun said that information technology has revolutionized the system of education. These technologies were applied in many areas of education such as libraries and have made the procedures of education much easier. Furthermore, the instructors can give instruction in many areas without having to fear meeting students. Additionally, the internet and devices availability as in personal computers are a blessing for virtual students; in fact they give birth to virtual studies. Another field where information technology has its affects is the area of management sciences. The organizational

What is Confucius' concept of good government and the ideal state Essay

What is Confucius' concept of good government and the ideal state - Essay Example It mainly aimed at assisting leaders maintain local order, keep tradition, and maintaining a steady living standard for peasants. Those who adhered to this school got training in loyalty, traditional rituals, and generosity 1(Bell, 2008). In addition, the school taught respect for the old and superiors. Confucius honored the ancient ways of life, which he encouraged his students to master. For example, he urged them to read the Book of Documents as well as the Book of changes. His philosophy included embracing Chinese values, which included proper performance of traditional rituals 1(Bell, 2008). Confucius proposed that proper governance could be established by embracing virtue and benevolence. He emphasized that the leader had to be good; this way, people would follow what is right. Therefore, he taught that leaders should be excellent examples to the subjects to enhance the creating of a true empire. The Confucius concept advanced that all the posts in the government had to be 1based on righteousness and virtue. As a result, the ruled class, seeing their leaders as upright and benevolent, would also become upright. Therefore, this concept states that an ideal state should have leaders whose virtues can be emulated by those they rule. 2(Bell, 2008) In his book, Bell argues that the Confucius concept of good governance and the ideal state has three essential doctrines. The first doctrine of this concept is benevolence, which Confucius regarded as something people have to cultivate in themselves. Enlightened self interest plays a key role in approaching benevolence. For governance to succeed, leaders have to put themselves in the position of those they rule. State leaders should treat other people accordingly. To this concept, benevolence entails doing unto others what one would like them to do to him or herself. Thus, this concept places emphasis on the need for benevolence and treating

The Federal Reserve Essay Example | Topics and Well Written Essays - 2000 words - 3

The Federal Reserve - Essay Example Therefore, in pursuing these functions Fed aim to stabilize prices and attain maximum employment. The Federal Reserve tightened it policy after the country suffered from a 2008-2010 financial crisis. Moreover, the bank increased regulations in the financial sector to check on bank lending behavior that caused the housing bubble to burst. These measures have achieved tremendously as indicated in the recent Beige Book. The economy at a national level is growing, and this shows that the country is on the path out of the financial crisis. The Board says that consumer confidence has increased, and business buoyancy is rising too. The Beige Book (2013) reported that the national economic conditions have expanded during the month of September to October. All the twelve Federal Districts had similar rates of growth, though some like Richmond, Philadelphia, Kansas and Chicago showed slowed growth rate as compared to earlier reports. Moreover, the Districts were optimistic of growth in future economics behaviors, but they also feared uncertainty as a result of increased debate on the debt ceiling and government shutdown. The country has increased consumer spending and people are travelling more in all most all the districts. Furthermore, tourism has also increased, and businesses are now growing. This can be attributed to increased payrolls in many Districts. The Fed reports that there is increased demand for manufacturing activities and nonfinancial services. Residential construction has resumed, and it is increasing pace by pace. The lending rate has remained modest, and there was little change in the financial balances. The agricultural sector has been affected, and most districts reported that drought impacted the sector. The energy sector has expanded, but there has been reduced production of coal. Therefore, the overall price condition and wage was stable and without pressure (Board of Governors of the Federal Reserve System, 2013). Economic Indicators That Guide I n Stabilizing the Economy Economic indicators are voluminous statistics of the economic conditions that are used by the government in measuring and evaluating the growth of the economy. There are many economic indicators and each function differently from the other. Some indicators have short term effects on the economy while others have short term and long term effects. These indicators include real gross domestic product, money supply, consumer price index, consumer confidence, employment rate and housing starts. Real GDP help the Federal Reserve to know how it will utilize monetary policies to the changes in the economic conditions. Its shows the market cost of a countries goods market produced at the current period. Real GDP shows the country’s wealth by demonstrating the returns on capital and the growth of profit in businesses and service industries. Real GDP, therefore, measures the well being of a country economic activity. Consequently, Fed must use tight monetary po licies to ensure that the interest rate is not below the set target of 2%. Low interest rates render the Federal Reserve policies ineffective in controlling the money supply (Labonte, 2013). Employment is the other economic indicator the Federal Reserve ought to address to maintain the path of economic growth. The employments statistics are derived from the payrolls, retail trade, construction and manufacturing and are used in determining the level of unemployment and the well being of the country. Increase in wages enhances