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

Broken Windows Style Policing Research Proposal

Broken Windows Style Policing - Research Proposal Example In order to control and bring communal harmony in communities police are using approaches like the "broken windows policing", order maintenance policing. The study aims to highlight the appropriateness of use of approaches like these towards crime reduction. Research Methodology: In order to conduct the study, research methods such as Survey and Experimentation were used. Survey method is used primarily on the primary data to collect vital information directly from the stake holders (in this case the criminals and convicts) by using direct questionnaire. Experimentation approach is used to observe the relation between the variables and how they are getting affected by changes caused in any one of them. The identified problem in the present case is High crime rate. To facilitate researcher, we need to define the problem clearly, In order to define the identified problem precisely, we normally use exploratory studies, the two important techniques in exploratory studies are secondary data analysis and Pilot studies. Exploratory Study: These are "insights gathered through secondary data possibly from experts" (Business Research Methods, P.34, 35, ICFAI Press Publication). In this case the insights are gathered from Retired police officials, Journalists, writers, articles relating to crime etc. These inputs are gathered to add depth to the study. Pilot Studies: "A Pilot study is an informal way of gathering necessary information from reliable sources" (Business Research Methods, P.34, 35, ICFAI Press Publication). General enquiries carried out in the neighborhoods regarding crime rate in the area and social control measures adapted, use of broken windows policing yielded necessary information. Hypothesis: Null Hypothesis: The impact of broken windows style policing is positive and is suitable for a longer run. Alternative Hypothesis: The impact of broken windows style policing is negative and is not suitable for a longer run. Defining the variables: Dependent variables: In this case the dependent variable is the high crime rate and this variable is metric in nature, measurable. Independent variables: All the factors affecting or causing an influence on the crime rate, such as drunkenness, selling drugs, turnstile jumping etc are independent in nature and are quantifiable, hence metric in nature. Multiple regression is used sine both the variables are metric. Unit of Analysis: Here the unit of analysis is the high crime rate. Sampling Technique Inorder to define sample and type of sample to be chosen I have defined the population from which the sample is chosen. Population: The population consists of number of recorded criminals in city as per the city

Summary and Impact Essay Example | Topics and Well Written Essays - 250 words - 3

Summary and Impact - Essay Example Scientists demonstrated that start time of treatment affects the response of B cells to the virus. Moreover, they have shown that the response of the same B cells to the HIV differs from that to other pathogens such as tetanus or influenza. In summary, these studies provide evidence of the fact that earlier treatment of HIV is better for the health of infected people. HIV infection can affect anyone of us. The biggest problem for HIV-infected people is the fact that this infection is extremely difficult to treat and complete cure is not possible at all. Therefore, knowledge of basic features of HIV infection greatly interested me. Especially useful information is the fact that early treatment improves resistance and is more useful for our body. This fact raises questions about the periodic inspection your body for HIV infection, because in case of early identification, quality of treatment will be much higher. Thus, the annual check for infection will increase the quality of further treatment because of early detection of infection. So we should not give problems the chance to become a significant and solve it at the

COMMERCIAL LAW Essay Example | Topics and Well Written Essays - 250 words - 1

COMMERCIAL LAW - Essay Example In an effort to combat terrorism, the UK has introduced laws to punish perpetrators of these activities. Under the law, the principal terrorist offences are outlined. Under section 15 of the terrorism Act2, it is deemed an offence to get involved in a fundraising with prior information that the funds raised or property used for that matter may be used for terrorism activities. It is considered an offence to possess or use money or property for terrorist activities with reasonable cause to suspect such is used for the activities. The act further states that it is an offence to be involved in any arrangement that makes money or property to another party with knowledge or reasonable cause to have suspicion that it supports acts of terrorism. Finally the act clearly stipulates that it is an offence to be involved or concerned in arrangements that facilitate the control of terrorist property by or on behalf of a different person3. These laws have been effective in curtailing terrorism fin ancing in the UK. The discussion above clearly brings out the measures and their effectiveness in fighting the global vice. It is a measure that has been adopted across the world to combat and end terrorist activities. In conclusion therefore, it is prudent that states emulate the policies and laws enacted by the UK to fight terrorism financing. Being a global phenomenon, it is vital that other countries join the fight and come up with tighter legislations that will improve security for everyone around the world. Terrorism activities cause harm and instill fear to the general populace. Above all it causes death and punitive measures in form of legislation need to be adopted and effected. 1FH Newark, ‘The Boundaries of Nuisance’ (1949) 65 LQR 480; Richard Kidner, ‘Nuisance and Rights of Property’ [1998] Conv 267; Ken Oliphant,

Reflection paper Essay Example | Topics and Well Written Essays - 500 words - 47

Reflection paper - Essay Example a tourism manager in the future, I can devise better means and/or give travellers gadgets in which they can record their travelling experiences including taking photos and recording videos. The conversation presented in this article reflects to my personal travelling experiences, which can be used to formulate tourism management strategies in future. Heat-Moon ascertains that the American topography is diverse and thus travellers should try and visit the various types of American landscapes. Caputo adds that travelling in America is best experience, compared to other countries (Caputo and Heart-Moon, 2013). In the past two years, I have travelled across many parts of the country and I have seen that America is gifted with a wide range of landscapes. The deserts in New Mexico and mountains in Arizona are incredibly unique and outstanding, compared to other parts of the world. As you travel, you will meet different people who will change your worldviews and perspectives. As Caputo recounts, I can argue that that travelling in America exposes you to different types of â€Å"social landscapes.† The conversation brings forth the aspect of different characteristics of a tourist and a traveller. When you plan to visit places as a tourist, you often use the main roads and superhighways, as Caputo recounts (Caputo and Heart-Moon, 2013). His colleague adds that a tourist will never use the back roads like the travellers. In the past, my personal travels were not that enjoyable because most of the times we used the main roads. However, when I changed my travel plans and became a traveller, I enjoyed the diverse American landscapes and people. Therefore, it’s much better to become a traveller rather than a tourist who is always on time budgets and visits specific places. Keeping record helps in deepening the experiences when you share them with your friends and family. Based on the conversation and my personal travelling experience, I can advise tourism managers with means

Women and Men Entrepreneurs Essay Example | Topics and Well Written Essays - 2750 words

Women and Men Entrepreneurs - Essay Example The British Government estimated that by year 2006, there will be 18 to 20 per cent of women-owned business in United Kingdom (SBS, 2005). However, there are always critics about women's performance at micro and small business entrepreneurship. Some commented that women out performance men, while some do not agree. This paper aimed to discuss about the differences between men and women's entrepreneurs from different aspects in term of personal characteristics, motivation, and ethnic and cultural background influence on the performance. Definition for an entrepreneur is someone who pursues a management opportunity regardless of currently available resources (Stevenson, 1989). Entrepreneurs concentrate on maximizing profit, growth and innovative behaviour (Carland et.al, 1984). As in the definition, one who wishes to become entrepreneur would have be courageous, risk-taking, independent and desire for a sense of achievement besides discipline in self. An example of a successful entrepreneur would be Bill Gates that started Microsoft Corporation. With the insight of the future technology development, he braves himself to start-up a business which leads the development of the computer operating system now. Another successful entrepreneur is Winfrey Oprah who started out as a host for a talk-show and finally success as a writer. Bill Gates is a male entity while Winfrey Oprah is a female entity. There is a saying where "men are from mars and women are from venus". This saying provides a lot of space of thought where men and women are so distinctively different. As both names quoted are successful in their own field. The question is - are the differences here contributing to different outcome of their success Is it tougher for a woman to be recognized as success Gender War Though god created Eve from Adam to compliment each other, their relationship turns sour lately. In the past, women have taken a softer role as a homemaker. But, today they can be breadwinner! Women compete with men to get scholarship, education, important roles in business world, earn more money and own more power. The competition created a tense between the relationships of both. Are both cooperating with each other to create more miracles in the society or are they at war Interestingly, this is a very subjective topic! It leads to the critics of role performance of both genders either at work or home. The differences between the personal characteristic, goals, desire and managerial style do provide clues for various behaviours among men and women entrepreneurs. Differences between Men and Women Entrepreneurs Like the saying "men are from Mars and women are from Venus", both genders exhibit different behaviours. Even a man is different from another man, there are a few qualities that makes the entrepreneurs. a. Personality traits Since 1980s, there have been a lot of studies carried out to identify the personal traits of entrepreneurs (Aspray and Cohoon, 2007). They are a group of people who are more than just business man. Focusing on maximizing profit, create innovations and growth, and have a need to achieve, they have certain personality traits which are more than usual white collars. They are risk takers with self-discipline; possess insights and intuition in their own fiel

How to Be Professional Engineer Essay Example for Free

How to Be Professional Engineer Essay Hong Kong is many large-scale infrastructures in future. There are many job chances. Chances are often but my lower educational background may not be able to secure. If I want to fight for more chances, I must continue to enhance me. Become a professional engineer, experience and education are same important. When I success join the HKIE member, it can certificate I have professional qualifications because become corporate membership need definite experience and education and after different assessment. That is a long way, cannot short time to complete. In route to membership, there are two way, it is Corporate Member and Associate Member. Corporate Member there is two types. It is Fellow and Member Fellow is a senior Corporate Member who is usually at least 35 years of age and has achieved positions of responsibility to which he/she has brought superior knowledge and practice in an engineering discipline. Member is a qualified professional engineer who has attained the age of 25, obtained an accredited/recognised degree or the equivalent in an acceptable engineering discipline, received adequate training, had sufficient responsible experience, and successfully completed the Institutions Professional Assessment or the equivalent. Associate Member is an engineering technologist who has attained the age of 23, obtained a Higher Diploma or Higher Certificate accredited/recognised by the Institution, or an acceptable equivalent in a recognised engineering or technological discipline, received adequate practical training, had appropriate responsible experience, and successfully completed the Institutions Assessment Interview In my own choice, I will think out join Associate Member, after Promotion to Member because I will have Recognised Higher Certificates, it is one of the main factors while I have Minimum of 3 to4 years experience. I can take the last step to Assessment Interview.