Differential and Integral Calculus Essay Example | Topics and Well Written Essays - 2000 words

Differential and Integral Calculus - Essay Example Calculus is widely used in physical, biological and social sciences. Examples of its applications in physical sciences are like studying the speed of falling body, rates of change in a chemical reaction, or rate of decay in a radioactive reaction. In the biological sciences its applications include solving the problem of rate of growth of bacteria as a function of time. In social sciences Calculus has its applications in the study of probability and statistics. The two main branches of Calculus are Differential Calculus and Integral Calculus. Differential Calculus deals with rates of change while studying or solving a problem and Integral Calculus involves summations of special type. One helps to find the slope of tangent to a curve at a certain point while the other is used to find the area covered by a curve and two points on it. As the entire natural world is in a constant motion and thus a change, mathematical analysis provides us the means to investigate the process of change, motion and dependence of quantities upon each other. Consider the motion of a body moving in a straight line whose position is given by a number expressing the distance and direction from a fixed point, the origin. Now if we specify the position of this body at each instant of time, it is equivalent to defining a function of some real numbers representing time to some corresponding real numbers representing position. Now consider the following three scenarios: 1. What will be function to give the velocity at each instant 2. If only velocity is known at each instant, find the distance travelled during a particular interval of time. 3. If only the function giving the velocity at each instant is known, what would be the function giving the position at each instant These are the basic problems which are generally addressed by Calculus. DIFFERENTIAL CALCULUS The two main concepts in Calculus are limits of a function and continuity. Limit of a Sequence If n is a set of integers greater than 0 then consecutive points of a sequence, in our example 2-1/n, when plotted on a number line the sequence will come out to be as 1,1.5,1.66,1.75, 1.8, , 2-1/n, . or 1, 3/2, 5/3, 7/4, 9/5, , 2-1/n, .. Sequence I It is worth noting that as our sequence progresses it seems that we get closer and closer to 2 or our sequence appears to be approaching 2 as it progresses further and further but at no point does it appear to be exactly equal to 2. If x is a variable with above sequence as its range then it is said that xapproaches 2 as limit, or, x tends to 2 as limit and it is written as x 2. Limit of a Function Continuing with our example of Sequence I above, if function of x f(x) = x2 then all our results would be approaching a value of 4 as in (1)2, (3/2)2, (5/3)2, (7/4)2, (9/5)2, , (2-1/n)2, .. or 1, 9/4/ 25/9, 49/16, 81/25, whereas x 2. Like in another example of a sequence emerging from 2+1/10n the terms of the sequence are 2.1, 2.01, 2.001, 2.0001, .., 2+1/10n Sequence II Here again x2. It can be easily demonstrated that x24 as squaring

The Correctional System Essay Example | Topics and Well Written Essays - 500 words

The Correctional System - Essay Example So the problem of the overcrowding should be corrected at an early date. One of the best solutions to reduce the overcrowding in the correctional system is to give age limit to the offenders to have their punishment called "Aging out of crime". This age limit should be restricted to sixty (Territo, Halsted, & Bromley, 2004). The most imperative advantage of "Aging out of crime" is to save money in the expenditure of maintenance of the aged offenders in the correctional system. This overcrowding in the prison gives nothing beneficial to the system, as they are not able to do any constructive work, which are being done by prisoners. But their maintenance has to bear by the system up to their final ride. This saved money may efficiently be used by the system in nabbing another culprits who are active in doing various offences including the drug trafficking and human trafficking. Due to the overcrowding in the system a lot of offenders are released on the spot by taking bribe by the comp etent authority.

Memo Essay Example | Topics and Well Written Essays - 2000 words - 3

Memo - Essay Example Abuses of corporate e-mail in this manner should be reported to a manager and the IT department immediately. Computer crimes fall into many different categories. Some involve the use of computers to defraud, illegally access account information or to otherwise hack into a system to obtain corporate information which that person would normally not have access to. In this instance, activity would most likely occur in a remote location, away from our corporate office. If one of your security professionals does encounter an issue, for instance, an employee believes someone has used their computer or workstation to commit such an act, ask the employee to keep his or her hands off all computer and peripheral equipment. Contact our department immediately, so the employee’s account information can be deactivated. We may have to change username and password for e-mail and for customer databases, When marketing or account management employees are involved. There may be other You can suggest they work from another location or office. I would be more than happy to provide a laptop and equipment for temporary use. Remind the employee that their close out of current computer screen. Tell the employee to go with you now, no exceptions. This procedure should be followed for any type of suspicious computer crime that may be linked to an employee. equipment. Leave it for investigators and/or the IT department. All e-mail messages or printed documents that are suspicious in nature, ie: a list of employee private contact information, should be left intact in its current location. Do not attempt to move, copy I hope this helps you with the training of your team. Please keep in mind that most computer crimes leave little obvious evidence. However, when they involve an employee, fingerprints and access to e-mails or files may be necessary, so nothing should I would like to explain what social

The History of Oil and Gas in China Essay Example | Topics and Well Written Essays - 1250 words

The History of Oil and Gas in China - Essay Example China was the first country to discover the presence of oil accumulations in salt wells. The Chinese identified beforehand the significance and the possible use of oil and gas in boundless applications. Early on in history, about 500 B.C., consistent with some historical accounts about China, the old Chinese express about wells with the depth of 100 feet holding a significant volume of water and natural gas. Also, the Chinese were pioneers in conceptualizing the use of bamboos to serve as pipelines to draw natural gas and oil from wells. These recovered gas and oil were originally used for lighting (Business Reference Services, "History of Oil and Gas Industry"). In addition, the Chinese eventually ventured in searching and excavating wells with depths of over 2000 feet (American Petroleum Institute, "All about Petroleum - As Old as History").While China was the first country to venture in the exploration and excavation of oil and natural gas reserves, it was not the first country to take innovative approaches in developing petroleum products like kerosene, gasoline, etc. It commenced adopting a modernistic method in developing oil and gas products only during the 1950s. Even up to the present, China is comparatively fresher in modern oil and gas discovery and production compared to the US. Initially, China was an oil importer but later managed to become independent; and even became an exporter between 1965 and 1993; however, it went back to being an importer in 1993.

Science for Energy Essay Example | Topics and Well Written Essays - 1500 words

Science for Energy - Essay Example As such, individuals, societies, and governments can play significant roles in changing the way we use energy to reduce greenhouse gas emissions. This paper will establish the distinct strategies, policies, or roles that individuals, societies, and governments can play to reduce greenhouse gas emissions. In absence of government policies and change in individual actions, the world will continue experiencing adverse effects from greenhouse gas emissions, which include carbon dioxide, sulfur hexafluoride, methane, nitrous oxide, PFCs and HFCs. However, carbon dioxide and methane is the most dominant greenhouse gas emissions since they emanate from burning fossil fuels like petroleum, natural gas, and coal. As such, the global society must focus on reducing the emissions of carbon dioxide and methane since their effects are equally synonymous. To this effect the federal government through the relevant agencies should develop and adopt energy efficiency audits in all sectors to establish the amount of energy used and the resultant gas emissions (Herz et al 16). This will help in developing mitigation measures to curb greenhouse gas emissions. The government should also increase building efficiency standards in the commercial sector to ensure that we reduce energy in setting up buildings and reducing carbon dioxide emissions. The government can reduce energy by modifying existing production methods for the industrial sector. Indeed, some productions methods consume a lot of energy and emit dangerous gases like carbon dioxide. The federal government should also cogenerate facilities for the industrial sector by using electricity-generated heat or water generated heat to make steam for the industrial process or for cooling purposes (Herz et al 16). This saves a lot of energy and minimizes the chances of using coal or petroleum energy, which reduces greenhouses gas emissions. Waste reduction and recycling equally reduces waste and have the potential of reducing energy consumption and methane generation from landfills (Herz et al 17). Moreover, the review of existing production methods for the industrial sector may have an overall effect of reducing waste and thus minimizing greenhouses gas emissions. However, buying and using more recycled resources in all sectors can derive huge benefits by reducing waste, using less energy in production, and thus conserving the environment. As such, the government should encourage the use of recycled materials in all sectors. To achieve this, the federal government should develop and implement a state recycling and waste reduction plan, which should also entail water conservation, and planning for future resources (Herz et al 17). On the other hand, since methane and carbon dioxides are the most dominant greenhouse gas emissions, the government should reduce methane and natural gas emissions from transmission leaks and from coal mining operations by recapturing leaking methane/natural gas from distribution pipe lines and refineries (Herz et al 18). The transport sector is arguably one of the sectors, which emit a significant amount of greenhouse gases. As such, the government and individuals should ensure the auto maintenance for old and newer cars. This will improve the energy consumption efficiency of the vehicle thus saving energy and reducing emission of the combusting gases. To reduce the gas emissions, which emanate from burning petroleum or oil,

Subject-Sustainability in Global Business, Topic-Gold Mining Industry Assignment

Subject-Sustainability in Global Business, Topic-Gold Mining Industry In Armenia - Assignment Example Such forecasting has resulted in greater invasion of the foreign investors in the country with a motive to extract a larger volume of gold. However, critical analysis to the context reveals that such repeat and continuous invasions in Armenian gold industry have resulted in a major consequence of hazardous mining activities (Abrahamyan, 2012). To obtain a better insight of the gold mining advantages and industrial disadvantages of the same, a PESTEL (Political, Economic, Social, Technological, Environmental and Legal) analysis of the country has been considered in this essay. Based on the analysis results, the discussion in this essay further attempt to measure the extent to which, the gold industry can be sustainable. Moreover, the essay also aims to provide rational solutions on the basis of which gold industry is likely to operate in a more sustainable manner. 2. PESTEL Analysis of Gold Mining Industry in Armenia 2.1. Political Elements In order to attract a larger percentage of g lobal investments in gold mining industry, the political system of the country has adopted a comparatively flexible international trade policies and plans with a vision to promote its exports, which acts as the main source of national income for Armenia (CIA, 2013; Stuhlberger, 2012). Although the increased foreign investments in the gold mining industry of Armenia has resulted in its augmented national income prospects, with the inflow of a greater volume of foreign currencies, the country witnesses immense complications in terms of corruption. Furthermore, the currently persisting unfavourable relationship amid governmental bodies and the mining sector investors have also resulted in greater degree of corruption within the national context (Stuhlberger, 2012). In addition to these national issues, the country has also been facing political conflict issues with Azerbaijan and Georgia, which has further affected its potentialities to attract a larger volume of foreign investment in the most sustainable manner for its gold mining industry (Nichol, 2013). It is thus recommendable that a stable and more organised political system must be developed by the responsible governmental bodies in Armenia in order to develop its gold mining industry in a socially responsible manner. 2.2. Economic Elements The economic condition of the country has developed quite rapidly, wherein the contributions made by the gold mining industry can be argued as inevitable. However, the economic crisis situations on a global context have adversely affected the economic stability conditions of the country to a large extent being majorly depended on foreign investments. As a matter of fact, with the shrinking purchasing power of customers in the gold industry, the investment trend also declined, which affected the Armenian economy adversely. However, in the recent years of post-recessionary phase, the increased demand for gold has attracted a large number of foreign investors in Armenia (Bu siness Reporter, 2013; UN, 2012; Chshmarityan, 2005). It is worth mentioning in this context that in order to be favourable towards the development of mining sectors and suffice the increased demand of valuable metals and minerals, the Armenian government levied taxes and regulations at a marginal extent, focusing more on charging royalties on the miners. However, unlike expectations, these tax control measures to facilitate greater independency of investors in the gold mini

The market segmentation strategy for the manufacturer of the washing Essay

The market segmentation strategy for the manufacturer of the washing machine - Essay Example This research will begin with the definition of target marketing as â€Å"breaking a market into segments and then concentrating your marketing efforts on one or a few key segments†. Thus target marketing involves splitting the market into manageable segments. The choice as to which market segment is to be focused on depends on the manufacturer’s requirements. Many writers have suggested a variety of approaches to understanding the target market process. When making an effort to identify the characteristics of the target market demographics such as age, age group, gender, marital status, the location of the business, incomes of consumers and their preferences matters. Next psychographics such as cultural values, mores, lifestyles, tendencies, propensities, choices and personal concerns matters. In the same way the kind of industry and typical market structure matter. In this instance, the industry is the white goods manufacturing industry and the market structure is oli gopolistic in nature. The latter means there are only a few sellers or rather brand names. Other specifics include what kinds of regulations are applied to the industry by authorities. For instance, consumer electronics and electrical goods industry is subject to EU regulations that seek to ensure minimum safety standards. The incorporation of these safety measures would require a lot of research work and costs. Thus the target market would be approached with a greater degree of conviction and certainty.