CONCLUSION Notice that where the solution of an ODE contains arbitrary constants‚ the solution to a PDE contains arbitrary functions. In the same spirit‚ while an ODE of order m has m linearly independent solutions‚ a PDE has infinitely many (there are arbitrary functions in the solution). These are consequences of the fact that a function of two variables contains immensely more (a whole dimension worth) of information than a function of only one variable. The method of characteristics is a
Premium Partial differential equation Polynomial Quadratic equation
The amount of active worldwide Facebook users as of June 2012 is 955 million‚ accounting for approximately a seventh of the total population on Earth. With such a mass population of the world checked into Facebook‚ it sparks question as to what kind of effect this has. There is no doubt that Facebook itself is a fantastically engineered social media‚ connecting just about one billion of people in the world with the simple action of logging into a website. But with the rapid growth of this social
Premium Facebook
Humans have created urban areas right since the ancient times. Urbanization‚ as we know it now‚ began with the Industrial Revolution in the 18th century‚ and has only been on the rise ever since. Statistics tell us that half of the world’s people already live in urban areas‚ with that number set to expand in the years to come. Our cities have been luring people for various reasons‚ the basic one being the hope of a better life. People are drawn to the cities for the comforts they offer‚ the opportunities
Premium Urban area City Demography
The ideas of globalization being the main cause of the spread of Global diseases is valid‚ however in these day and age it is mostly inevitable‚ we live in a time when people wants to travel to new places‚ where countries economies and food production depends on each other geographic location and their abilities to produce and trade such goods. In time where medicine and its benefits can also travel worldwide the negatives impacts that these global trading causes‚ does not outweigh the benefits.
Premium Genetically modified food Genetically modified organism Genetic engineering
I have to admit that bilingualism has several advantages. Nonetheless‚ tackling this issue‚ the lingual conditions in which children are raised to be able to speak two languages equally well should be also taken into consideration. Many linguists underline that while introducing the second language to learner‚ his/her exposure to a given linguistic system is crucial. Thusly‚ parents striving for teaching their children a secod language/a non-native language often rely on commercial language materials
Free Linguistics Second language Language
When the Internet was first introduced to the public‚ it marked an extraordinary change in every aspect of our lives. Today‚ with the explosive increase of sites on the Internet‚ technology has taken another dramatic rise. In the midst of this technological explosion‚ we might stop and ask some key questions. Is the Internet good or bad for education? Are students learning more or less? And what‚ exactly‚ are they learning? Although‚ using the Internet to research instead of encyclopaedias has become
Free Internet History of the Internet Website
Flatbed trailers are the best way to transport loads that are impossible or impractical to transport in a regular enclosed dry van. Examples of flatbed freight include: large equipment‚ building materials and large machinery. Flatbeds allow for greater dimensional flexibility‚ which makes them the best and the safest choice for these types of large or heavy loads. We can handle all of your “less than truckload” (LTL) shipments and of course full truckload shipments. Flatbed trailers may be utilized
Premium Transport Cargo Shipping
MAF302 – 2009 Exam Marking Guide Question 1. Part i. In most large corporations‚ ownership and management are separated. What are the main implications of this separation? Part ii. A parcel of land costs $300‚000. For an additional $500‚000 you can build an office building on the property. The land and office building should be worth $900‚000 next year. Suppose that common stocks with the same risk as this investment offer a 9% expected return per year. Would you construct the building
Premium Stock Stock market Corporate finance
The Disadvantages of Playing Video Games In the last several years the interactive games have had an amazing development in terms of image quality and variety of games. This has led to children and adults spend more time gaming and less time sharing with their families and friends. There are many significant disadvantages of playing video games. First‚ electronic games might have a negative impact over personal physical health. Gamers become lazy because they do not exercise every
Premium Video game Game
COMPUTER – ADVANTAGES AND DISADVANTAGES Almost every home‚ office‚ or school has a computer of some kind these days. The word ‘computer’ comes from ‘computing’ i.e. calculating. They can do complicated sums very quickly. We can play games‚ draw pictures and even make sound and music on them. Computers can be used to keep records of diaries‚ slides‚ recipes‚ songs or any information which we want to store and get back sometime later in some form. We can link computers together to share information
Premium Computer