The Development of the Federal Reserve Essay Example For Students

The Development of the Federal Reserve Essay To guard against this possibility, bankers prior to the establishment of the Federal Reserve would establish lines of credit with larger banks. In the event of a run, the smaller bank would draw on the line of credit. The larger banks, or central banks, to keep shady small-time operators out of business, evaluated the line of credit. Nobody would invest serious money to a small bank not protected against a run by a larger partner. However, the system was not perfect. In times of panic, large numbers of depositors would demand to withdraw their money. Only the largest Wall Street banks, with millions of dollars in reserve, could guard against this. Stories of bank runs- tales of people running to withdraw all their cash from their accounts- may seem dramatic, almost theatrical to people today. But to people living in an economically unstable society, like the early twentieth century, they were an expected occurrence. The banks were independent rivals, the amount of currency in circulation was fixed, and there was no element of trust between the depositor and the bank. The banks, in an attempt to avoid bank runs, were hoarding their money. We will write a custom essay on The Development of the Federal Reserve specifically for you for only $16.38 $13.9/page Order now However in order to hoard the money, they did not lend any out, bringing the economy to a standstill. The credit system of the country had ceased to operate, and thousands of firms went into bankruptcy. Something had to be done that would provide for a flexible amount of currency as well as provide cohesion between banks across the United States. A large regulated bank, like the Federal Reserve could make this happen. The Federal Reserve Act of 1913 helped to establish banks as a united force working for the people instead of independent agencies working against each other. By providing a flexible amount of currency, banks did not have to hoard their money in fear of a bank run. Because of this, there was no competitive edge to see who could keep the most currency on hand and a more expansionary economy was possible. The evolution of the Federal Reserve did not begin on December 23, 1913 with the passage of the Federal Reserve Act. Rather, it began with the Banking Panic of 1907, the most severe of the four national banking panics that had occurred in the precious thirty-four years. During this time several large corporations and stock brokerages went bankrupt that summer. Stock prices fell, causing traders to withdraw money from banks to cover their losses. There was a recession looming nationwide. It was a terrible situation that needed help or it could keep deteriorating and produce a panic far worse than any previous panics. J.P. Morgan, the legendary founder of one of Wall Streets largest investment banks, swung into action to meet the crisis. He assembled a team of bank and trust executives who met around the clock in Morgans library every day for three weeks. The men had every incentive to act forcefully. Their own businesses and vast fortunes were on the line. Under Morgans direction, the team redirected money from strong to weak banks, secured further lines of credit overseas, and bought stock in distressed but still sound corporations. Within a few weeks the panic passed, with only minimal effects on the country.Morgan did not receive the thanks of a grateful nation. A House of Representatives committee investigated Morgan. Morgan, it turned out, had profited by his actions in saving the country. The stocks he had purchased at fire sale prices had increased in value and this could not be tolerated. In response to this, a committee was established to find the flaws of the current banking system. This committee, the National Monetary Commission, found there were two main flaws dominating the system. First, the currency was not responsive to changes in demand. .uf2c317336a6a07effb9e5f5b85b36de9 , .uf2c317336a6a07effb9e5f5b85b36de9 .postImageUrl , .uf2c317336a6a07effb9e5f5b85b36de9 .centered-text-area { min-height: 80px; position: relative; } .uf2c317336a6a07effb9e5f5b85b36de9 , .uf2c317336a6a07effb9e5f5b85b36de9:hover , .uf2c317336a6a07effb9e5f5b85b36de9:visited , .uf2c317336a6a07effb9e5f5b85b36de9:active { border:0!important; } .uf2c317336a6a07effb9e5f5b85b36de9 .clearfix:after { content: ""; display: table; clear: both; } .uf2c317336a6a07effb9e5f5b85b36de9 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .uf2c317336a6a07effb9e5f5b85b36de9:active , .uf2c317336a6a07effb9e5f5b85b36de9:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .uf2c317336a6a07effb9e5f5b85b36de9 .centered-text-area { width: 100%; position: relative ; } .uf2c317336a6a07effb9e5f5b85b36de9 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .uf2c317336a6a07effb9e5f5b85b36de9 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .uf2c317336a6a07effb9e5f5b85b36de9 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .uf2c317336a6a07effb9e5f5b85b36de9:hover .ctaButton { background-color: #34495E!important; } .uf2c317336a6a07effb9e5f5b85b36de9 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .uf2c317336a6a07effb9e5f5b85b36de9 .uf2c317336a6a07effb9e5f5b85b36de9-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .uf2c317336a6a07effb9e5f5b85b36de9:after { content: ""; display: block; clear: both; } READ: Psychology book report Essay This meant that the bank had a fixed amount of currency, regardless of the demand for it. If people wanted to withdraw more money than the bank carried, then the bank had no way of providing the extra money. This led into the second problem of the bank, the fact that it was prone to panic. If people could not get their money out, then they panicked, and these panics drove banks out of business. In 1913, Congress created the Federal Reserve System and converted central banking into a government monopoly. All nationally chartered banks were required to maintain reserves with a regional Federal Reserve Bank. The regional reserve banks would be managed not for profit but in the public interest, by political appointees.The Act divided the country into twelve districts, each district with its own banking center. The banks within each district were then divided up with respect to size, so that small banks, medium banks, and large banks all have the same voting power. An appointed board of governors would oversee all bank operations within their respective districts, and the Federal Reserve would control the distribution of all currency. The Federal Reserve Act also required that all nationally chartered banks must be members of the Federal Reserve System. The bill passed through Congress with little difficulty, thanks to the Democratic stronghold in both houses, and President Wilson passed the act into law December 23, 1913. However, it was not met without criticism. It was said to have reflected the rooted dislike and distrust of banks and bankers that has been for many years and there should not be absolute political control over the business of banking. Despite some strong opposition it was made clear that although government influence would be present, it was designed to be free from personal or party politics. The public, much quicker than Wilson had anticipated, as he described the Act as a constitution of peace for the private businesses of the nation, accepted the Act quickly. The Act was not perfect, however, and the last sentence of the Act states: The right to amend, alter, or repeal this Act is hereby expressly reserved. In fact, an overlying theme of the Federal Reserve Act was one of uncertainty; and many of the provisions used language like under the rules and regulations to be specified by the Federal Reserve Board, and subject to review and determination of the Federal Reserve Board. The rules had to be developed as the game was learned. Though not an ideal system, the Federal Reserve Act did solve the problem of a flexible currency. The Federal Reserve Act helped to stabilize the volatile banking system. No longer were banks independent organizations working against each other. Now they were secure interrelated operations. The Federal Reserve Act worked because it eliminated the competition to hoard money between the banks and put the power into the hands of the government. Now, credit could be made available to expanding businesses, jobs could be created, and the banks would no longer have to worry about bank runs running them out of business. Because of the Federal Reserve Act, the economy could once again become expansionary with confidence

Managing a business A senior managers role in material management and management of the external environment

Managing a business A senior managers role in material management and management of the external environment Managing a business comes with its own challenges. Senior managers in business organizations must put in place appropriate strategies to ensure that the business runs smoothly without any internal shocks, and also be aware of relevant externalities that can substantially affect their business. Advertising We will write a custom essay sample on Managing a business: A senior managers role in material management and management of the external environment specifically for you for only $16.05 $11/page Learn More To achieve this, there are serious decisions to be made, precautions to be taken, actions to be taken to counter certain externalities, etc. This paper explores the role of a senior manager in ensuring that the materials of a business are carefully managed and also suggests ways in which external business shocks can be managed. As mentioned above, senior managers have a key role to play in ensuring that their business runs smoothly. One of the key things that a manager should be conscious of is the status of materials in the organization. This is especially the case with businesses in the manufacturing industry. The importance of monitoring materials is therefore very important in such a business, if the business is to make any profits. A senior manager should ensure that he/she works closely with the managers responsible for management of materials to keep record of the status of materials and ensure that appropriate actions are taken as and when required. It is of essence that store keepers report to the senior manager in a timely manner so that appropriate actions can be taken. This, therefore, calls for appropriate controls initiated by senior management in the business organization to ensure that such reports are generated as and when required. Information such as the turnover of materials, materials left in the store, materials used per day, etc, should be availed to senior managers at critical times to give room for decisi on making (Sanders, 2006, p. 45). With proper material management by senior managers, the success of a business is guaranteed. Another important thing in the management of a business is the management of the external environment of a business. A senior business manager should ensure that he/she is informed of the status and/or changes in the industry in which his/her business operate. A senior manager should especially have a good understanding of the activities that the competitors of the business may be undertaking in order to gain a competitive edge (Sanders, 2006, p. 37). Advertising Looking for essay on business economics? Let's see if we can help you! Get your first paper with 15% OFF Learn More This is because a competitive edge on the part of competitors means that the business of the senior manager will be losing out on its market share. Additionally, a senior business manager should ensure that he/she gets information on any industrial shocks as ea rly as possible in order to make relevant decisions. This will ensure that the business is not affected badly by such shocks. For instance, in case the industry in which the business is operating will be experiencing shocks due to power outages, the senior manager should be aware in order to take remedial actions that will mitigate the effect that the shock will have on the business. In conclusion, it can be confidently argued that information is the key driver of business success. Whether a business realizes supernormal profits or incurs crippling losses may be determined by the kind of controls that a business organization has put in place to ensure that its senior managers get relevant information in a timely manner. The senior managers therefore have a responsibility to ensure that these controls are working, and also ensure that follow-ups are made on any loophole in the relay of relevant information.

Salary assignment Research Paper Example | Topics and Well Written Essays - 750 words

Salary assignment - Research Paper Example The Alberta wage survey is said to cover 400 occupations providing information about the salaries and wages for both full time and part-time employees. This has been an analysis taken in 2011. The information provided, on the other hand, is based on the occupation, geographical areas of the employees and the industry group in Alberta (WAGEinfo., 2012). The survey is said to have played and still does play a great role to the lives of the individuals in Alberta. Its role, therefore, is to help them make both their career and educational plans. The survey also determines the pay scales and, hence, developing effective public policy. Lastly, the survey is responsible for the provision of the skill shortages (Government of Alberta, 2012). Embarking on the survey conducted in 2009, we are notified that the employment and the immigration department in Alberta collaborated with the service from Canada to conduct a survey on the Alberta wages and salaries every 2 years (Government of Alberta, 2012). The survey, conversely, is meant to gather the information about the employees both full time and part time depending on their occupation, geographical area and industry group. The information gathered was meant to help the people in Alberta for ‘transition into the workforce’ (ERL, 2012). Therefore, from the above table we can deduce that the minimum starting salary for a cabinetmaker is $12, while the highest salary is $23. This leads to an average salary of $17.24. On the other hand, the top salary a cabinetmaker can get is a minimum of $22 while the highest salary is $27 leading to an average of $35 (Clark, 1998). According to Clark (1998), the minimum starting salary of a carpenter is $14 while the highest is $38.63. The average starting salary is $22.74. In addition, the top salary of a carpenter is a minimum of $25 and a maximum of $45 leading to an average salary of $32.61. The chefs get a minimum starting salary

Dissertation,Cross Culture Communication at Restaurant Literature review

Dissertation,Cross Culture Communication at Restaurant - Literature review Example Perhaps it is imperative to understand culture because it is the backbone of solving intercultural communication in every organizational set-up including restaurants. Merkin (2011) defines it; culture refers to customs, beliefs and formalities that define a society. Society in this context may be tribe, nation, region or business entities. The technological advancements and emergencies of multinational companies operating across borders consider the study of cross-cultural communication an inevitable move. For instance, if a U.S companies considers establishing a Greenfield investment in Nigeria, the company needs to understand how to communicate with Nigerians because aspects such as marketing largely depend on communication. Additionally, the company will have to employee Nigerians to work hence knowing how to talk enables the company handle their workforce appropriately. The scenario primarily applies to the hospitality industry that absorbs a large number of workers. Merkin (2011) emphasizes that migration across borders has been on the increase due to the quick transportation means, hence understanding cross-cultural communication helps peop le when they seek opportunities in various industries. Organizations too, benefit as they get to comprehend how to manage a diverse workforce. First, the demographic shifts illustrate that international migration is on the rise due to factors such as education, business activities, and work and government diplomacy. Evidently, people from different nations, tribes and regions are likely to find themselves existing in a single social setting. Understanding cross-cultural communication is necessary to promote harmonious living where people do not feel their culture is despised. Secondly, intercultural communication is strategically important to companies that have the diversified workforce and operate as multinational (Pekerti and Thomas, 2015). For instance, the

Nursing ethical dilemma Essay Example | Topics and Well Written Essays - 1000 words

Nursing ethical dilemma - Essay Example Such scenarios make it necessary to study the ethical dilemmas faced by nurses to avoiding getting in trouble. Nurses ought to have moral concepts that would ensure that they provide care that is correct, rational and good. Nurses are obliged to give their patients the chance to express their feeling and choose the way they want nurses to serve them. Decision-making and science are the rationales under which ethical nursing care is based on. The essay focuses on two moral dilemmas that are common with practicing nurses in their daily activities. The essay relates the two ethical dilemmas faced by nurses to a particular moral principle that nurses should possess. Nurses are guided by a set code of ethics, which are meant to guide nurses on their actions and help to help solve moral dilemmas. The second part of the essay after the introduction part deals with the first ethical dilemma and the moral principle that relates to the dilemma. The third part of the essay tackles the second dilemma and just like the second part, the section also discusses the ethical principle under which the dilemma falls under. Conclusion is the final part of the paper, and this is where the major points in the essay are put in a clearer perspective. Nurses have reported cases of having to deal with patients who exercise their rights to say no to any directives given to them by nurses. Patients with Anorexia, an eating disorder that is becoming common refuse to take food given to them by nurses as the condition makes an individual detest eating. Patients suffering from the disease fail to eat any food provided to them by nurses and in the process, their body starts consuming itself damaging the patients health. Such an issue raises questions such as how nurses deal with patients who refuse to eat even if eating is imperative for them getting better. Another question on nurses’ mind is the motive behind such a patient’s decision of not

Mathematical and Physics Concepts in Computer Games

Mathematical and Physics Concepts in Computer Games Introduction A two part assignment was distributed and part one was run a simulation of a given differential equation using numerical integration techniques i.e. Euler and 4th order Runge-Kutta methods. Also continued as part one a table showing the results of the simulation was to be produced and each value was to be to 3 decimal places. Two graphs where to be produced a) a plot of each simulation result and the exact solution b) a plot of error values in each simulation and a short analysis of the results was to be produced. Part two a little more complicated than part one was to implement realistic physics of a rocket movement in earth atmosphere. Part 1 To calculate the exact solution was the simplest of equations mostly because it was provided it was a matter of processing the data. In simple terms to calculate the exact equation was displayed such as 1/(1+t), whereas t is time and increments by 0.25 each solution, therefore the equation would look like 1/(1+0.25) = 0.8 and the next step is 1/(1+0.50) = 0.667, furthermore is quite easy to calculate this equation. From the results appendix [a1] there are noticeable differences between Euler and the exact solution, first of all for Eulers method I used y-1+-(y-1^2)*(h), loosely translated into simpler terms y-1 is the previous y coordinate + -previous y coordinate to the power of 2 multiplied by h which in this case h was equal to 0.25. After having solved the equation for each t i.e. the x coordinate a significant difference was noticeable. After calculating Eulers results next was to calculate Eulers errors including the first y coordinate which was equal to 1 therefore the exact solution for the first y coordinate was also equal to 1 so there would be an error equal to 0 as the result. However the rest of the results varied but still remained below their equal t (x) coordinate for example t 0.250 was equal to y 0.800 in the exact solution and 0.750 in Eulers, after analysing the rest of the results prior to the calculation it was clear each Euler y result was lower than the exact solution y coordinate and was fairly easy to come to the error by simply exact solution y Euler solution y. Upon summing up all of Eulers results it gives a solution of 0.761 and dividing that by 41 gives a solution of 0.019. The reason it was divided by 41 is because there are 41 y coordinates including the first y coordinate which is equal to 1, therefore revealing the average number Euler error, suggesting Eulers method missed out on the exact solution at an estimate of 0.019, this does not seem a big difference but when trying to implement real physics in a game it makes all the difference. The graphs in appendix [a3] shows the simulation for Eulers method and the exact solution where it is easy to see each y coordinate and each error coordinate whereas [a4] shows the closer Eulers line and the exact line get to each other as t (time), (x coordinate) ascends, this suggests that Eulers method becomes more accurate over time and after using Eulers method for a long period of time eventually Eulers wouldve matched the exact solution at some point. Having viewed [a3] and [a4], [a8] shows the linear line for the exact solution and the linear line for Eulers method. 4th Order Runge-Kutta method was more complicated than Eulers mostly because as shown in [a1] the solution is more accurate because of the slopes that must be calculated in order to solve each y coordinate see [a2] for each slope solution. First and foremost we start by solving the first slope as k1 which was calculated as -(y-1^2) and like Eulers method translate to minus (the previous y coordinate to the power of 2) thats how k1 was solved. K2 has bit more calculation to process which looks like -(y-1+(0.5*k1-1*h))^2) translated to simpler terms is minus(previous y plus (0.5 multiplied by previous k1 multiplied by 0.25)) to the power of 2) this is how the second slope is discovered, solving k3 is much simpler because k1-1 is replaced with k2-1 the previous k1 solution that was just solved and k4s calculation becomes smaller -(y-1+(k3-1*h)) to the power of 2) just like k2 and k3, k4 using k3s previous solution that was solved. The fun part is finding y+1 which is the next y coordina te per t coordinate the calculation used is (y-1+((1/6)*(k1-1+2*(k2-1)+2*(k3-1)+k4-1)*h)) a significantly long calculation but reliable as it will get close to the exact solution result, translated it is (previous y coordinate plus(1 divided by 6) multiplied by (previous k1 solution plus 2 multiplied by (previous k2 solution) plus 2 multiplied by (previous k3 solution) plus (previous k4 solution) multiplied by 0.25). The sum of RK4 errors are 0 and the average was equally 0 that is an incredibly accurate method but more complicated to solve as Eulers method is the simplest RK method (first order) which is why RK4 is more accurate as it is a multi-stage method. See appendix [a5] for each y coordinate because RK4 method was incredibly accurate the exact solution coordinates cannot be seen but the data types are there to see and the legend is also there to show the different styles between each coordinate, appendix [a6] show the curve without any coordinate markers on them, again the c urves cannot be distinguished from each other because of RK4s incredible accuracy. See appendix [a7] to see the error coordinates for each integration technique on the same graph; it is quite easy to see which method is much more accurate but again this is because Eulers method is a first order method whereas Runge-Kutta is a fourth order method, Runge-Kuttas method has more steps in solving the equations therefore providing for a more accurate solution and producing less error values, whereas Eulers method only has one step and will always provide an error value each time. See [a9] for the linear line of the exact solution and RK4 estimation, it is extremely difficult to see because RK4 method is so accurate. Part 2 After using RK4 in part 1 an understanding it had taken some time to put it into physics, however the following scenario seems to be correct. The equation for acceleration is a = (Force Rocket + Force Drag) mass. The equation for Force drag is force drag = -0.5 * (0.2^3) * (0.2) * (20^2) * (2^2) ^2 The time step that is used is 1 i.e. 1kg m^2 because that is how much it can increment or decrement by with the user input. Time will go up to 60, the max the rockets force can go up to is 20kg m^2 and because acceleration is a derivative of velocity k1 = (time + velocity) i.e. the x and y positions. To find k2 the equation was k2 = (time + 0.5 * h, velocity + k1 * h), to find k3 is the same as k2 except the k1 in the equation is replaced with k2. K4 the last slope is calculated as k4 = (time + h, velocity + k3 * h). Lastly acceleration is calculated as a1 (next acceleration value) = (a-1 (previous value) + 1/6(k1 + 2 * k2 + 2 * k3 + k4) * h). The hard part is getting the equations correct after that it is a matter of using a loop in game to calculate the players position; the players position is equal to 5 metres. Pseudo Code for in game: Declare Static Class 4th Order Runge-Kutta { Do Declare Delegate double RK (x, y) variables declared as doubles (timer and velocity) Declare a static variable to calculate 1/6 as fS (fraction sixth) Declare rocket position as 5 Declare timer Declare a static double rk4(double x, y, h, RK f) x, y and h are doubles, r is called from delegate variable) { Declare half of h as halfh Declare Double k1, k2, k3, k4 Declare acceleration equals 0 y = acceleration K1 = (x plus y) K2 = (x plus halfh multiplied by h) plus (y plus k1 multiplied by h) K3 = (x plus halfh multiplied by h) plus (y plus k1 multiplied by h) K4 = (x plus h) plus (y plus k3 multiplied by h) Return (y plus fS multiplied by (k1 plus 2 multiplied by k2 plus 2 multiplied by k3 + k3)) RK acceleration equals y^2 ^^^ Returns acceleration } Declare Force drag kg to the power of 2 = -0.5 multiplied by (1.2 to the power of 3) multiplied by (0.2) multiplied by (20 to the power of 2) multiplied by (y to the power of 2 per second) because y is velocity Acceleration = (timer + force drag) / mass (decrement mass by 1 every second)) Player position plus acceleration every second If key pressed equals up Increment acceleration by 1Else if key press equals down Decrement acceleration by 1 Print timer, player position, acceleration and y While timer is less than 60 } Flowchart Critical analysis of the use of numerical integration techniques to solve similar situations in game development In the context of differential equations no numerical integration method is known as the method that is the best method to solve any and all ordinary differential equations. It all depends on the type of equation that is presented. When discussing gaming physics the solution to the differential equations plays a big part in games taking on more realism for example if a player fires an arrow in the air from a crossbow depending on velocity, gravity and wind etc. When and where will the arrows new position be within the game environment? Physics can be found almost anywhere whether it is in Skyrim shooting an arrow that will eventually drop or sniping in Battlefield that also includes bullets descending over time which is incredible and makes the games more realistic and much more difficult. Before using any method some basic equations must be known first for example force = mass multiplied by acceleration and acceleration = force divided by mass, standard equations that can be learned just using a search engine. Next the derivative of velocity is acceleration and the derivative of acceleration is position, a derivative is something which is based on another source [1] There are several methods to choose from when it comes to differential equations: First order integration Higher order integration First order integration Eulers Method One of the rather simpler methods that game developer can use although as already seen above it is not the most accurate. [2] Just like the previous ordinary differential equation that was solved in part one a developer takes the initial position and velocity and calculates the next position and velocity over time, a time step is used to calculate the next position and velocity such as the previous one that was used 0.25, once the first value is calculated the method is simply repeated to calculate the next one. An equation could look like this Vn+1 = Vn + (An *dt) whereas V is velocity and A is acceleration then the position could be calculated like Pn+1 = Pn + (Vn *dt) whereas P is position. Although this is a simpler method to use an error value will always be return because it is not the most accurate to produce solutions. Using any method can produce error values which is why the numerical integration methods provide estimations and not exact solutions whereas as the error value calculates how far off the estimation was from the exact solution. According to Bourg [3] instability is eliminated or minimized by smaller step sizes however larger steps size seems to make the problem much more complicated than it needs to be. Stability plays an important part for calculating equations more calculations will be processed if the step size is significantly small however this results in more stability. Bourg [3] mentions an adaptive step size where after a predicted amount of error the step size is changed as calculations are being processed. To use adaptive step size method it has to be based on the errors given from the estimations by doubling the step size, Heidts [4] mentions in his abstract the adaptive step size method works considerably well with second-order split-step Fourier integration scheme and can be greatly improved when using it alongside 4th order Runge-Kutta method. Unless the error values provided by Eulers estimations causes a serious change in a games physics then there should be no problem using Eulers method for simpler equations [2]. The simplest way to estimate the exact solution is using Eulers method, when using the method and there is a big difference between y1 and y-1, setting aside the curvature the linear extrapolation will not match up to it. Higher Order Integration 4th Order Runge-Kutta Runge-Kutta is more commonly used in physics [2], this integration method is incredibly accurate from what has been displayed already in part one of this report due to the method have many more steps to solving equations. The accuracy is second to none because RK4 calculates equations estimations in four steps thus given the name 4th Order. In order to achieve this accuracy a price must be paid and the price is more calculations need to be processed to calculate the physics; it has many more computations than other integrator techniques [2]. These types of calculations only need to be considered when accuracy is a must in games like bouncing a grenade of a doorframe in call of duty, therefore not all physics in games will require RK4 to calculate physics because physics is different in all games and some will only require Eulers method. So using the example of the Rocket in earths atmosphere a = Fr + Fd / m translates to acceleration = (FORCE rocket + FORCE drag) divided by mass. The rocket force increments by 1kg/m2 every time the user presses the UP key on the keyboard. Fr is calculated as Fd = -0.5.P.Cd.A.v^2 so basically force drag = minus 0.5 multiplied by P (airdensity) multiplied by Cd (Drag coefficient) multiplied by A (frontal area of the rocket) multiplied by v (velocity) squared. Conclusion All in all no numerical integration technique is better than the other it all depends what kind of physics in games needs to be produced, if its simple physics where the estimation does not make a major impact on the outcome Eulers method is the way to go for its quick computations it can make having simulations processed rather quickly, as for games where more complicated physics is involved 4th Order Runge-Kutta is the next best thing although it takes many more computations to be calculated the estimates are near perfect, RK4 is second to none when it comes to accuracy because of the extra work that needs to be considered. For example in games like battlefield RK4 is most likely to be used for those physics because the estimations need to be as accurate as can be, this takes into account bullet drop and flying aircrafts. Appendix [a1] [a2] [a3] [a4] [a5] [a6] [a7] [a8] Euler [a9] Rk4 References [1]https://www.google.co.uk/?gfe_rd=crei=xfluWI62OrLS8AerrruIDAgws_rd=ssl#q=what+is+a+derivative (Accessed: 18 December 2016). [2] Dickinson, J. (2015) Numerical integration in games development. Available at: https://jdickinsongames.wordpress.com/2015/01/22/numerical-integration-in-games-development-2/ (Accessed: 20 December 2016). [3] Bourg, D.M. (2001) Physics for games developers. United States: OReilly Media, Inc, USA (Accessed: 25 December 2016).. [4] Heidt, A.M. (2009) Efficient Adaptive step size method for the simulation of Super continuum generation in optical fibres, Journal of Light wave Technology, 27(18), p. 1. doi: 10.1109/jlt.2009.2021538 (Accessed: 2 January 2017).

Korea Two Pieces of a Puzzle :: essays papers

Korea Two Pieces of a Puzzle Korea is a nation that is rich with culture and corruption. Korea has been a unified nation for over 1500 years and in that time they have been persecuted and then divided. Before all this happened the Koreans were becoming a very culturally enriched society. Around the same time as the fall of the Roman Empire the Koreans were coming up with new ideas on architecture, art, science and even a central government. The Korean people lived in peace for 500 years under the rule of Choson (Yi) dynasty. After Japan defeated China in 1895 and then the Russians in 1905, Korea was then under complete control by the Japanese. This is when the Japanese entered the scene. When the Japanese took over they first annexed Choson in 1910 and then began their attempt to destroy the Korean culture for the next 35 years. The Korean government was taken over; every upper level government position was taken from the Koreans. The Japanese went as far as to outlaw the Korean language and even tried to b an Korean family names. Not until the end of World War II, was when the Koreans finally overcame Japans rule. At the end of World War II is when Korea became a divided country. The United States, Great Britain and the former U.S.S.R defeated nazi Germany and then went on to take out Japan. After Japan was out of the picture the U.S., U.S.S.R. and Great Britain decided that Korea should become their own nation once again. The U.S. was to accept the Japanese defeat south of the 38th parallel and the Russians were to accept the Japanese defeat north of the 38th parallel. This was the first step into dividing the Koreans as a people. All forces and all foreign military were to be evacuated from Korea; this is what was supposed to happen. What actually happened was a result of the Cold War tensions. Because of the Cold war the Russians imposed a Communist government on all Koreans north of the 38th parallel and the United States imposed a nationalist/capitalist democracy south of 38th parallel. After the U.S. and the U.S.S.R. imposed their own style of government on Korea came the formation of the Democratic People’s Republic of Korean in the north and in the south was the Republic of Korea, in 1948.