...3 Contour integrals and Cauchy’s Theorem 3.1 Line integrals of complex functions Our goal here will be to discuss integration of complex functions f (z) = u + iv, with particular regard to analytic functions. Of course, one way to think of integration is as antidifferentiation. But there is also the definite integral. For a function f (x) of a real variable x, we have the integral b f (x) dx. In case f (x) = u(x) + iv(x) is a complex-valued function of a a real variable x, the definite integral is the complex number obtained by b integrating the real and imaginary parts of f (x) separately, i.e. b b u(x) dx + i a f (x) dx = a v(x) dx. For vector fields F = (P, Q) in the plane we have a the line integral P dx+Q dy, where C is an oriented curve. In case P and C Q are complex-valued, in which case we call P dx + Q dy a complex 1-form, we again define the line integral by integrating the real and imaginary parts separately. Next we recall the basics of line integrals in the plane: 1. The vector field F = (P, Q) is a gradient vector field g, which we can write in terms of 1-forms as P dx + Q dy = dg, if and only if C P dx+Q dy only depends on the endpoints of C, equivalently if and only if C P dx+Q dy = 0 for every closed curve C. If P dx+Q dy = dg, and C has endpoints z0 and z1 , then we have the formula dg = g(z1 ) − g(z0 ). P dx + Q dy = C C 2. If D is a plane region with oriented boundary ∂D = C, then P dx + Q dy = C D ∂Q ∂P − ∂x ∂y dxdy. 3. If D is a simply connected...
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...Technology in Banking Insight and Foresight Institute for Development and Research in Banking Technology (Established by Reserve Bank of India) Foreword The Indian banking industry, almost in keeping with the deep entrepreneurial approach of the country s business, has come a long way. This report is an effort to capture some exemplary initiatives and developments so far as well as discuss the emerging trends. The insights and understanding of the technology trends and ground-level work being done by the banks has been culled from the nominations received from banks for the IDRBT Banking Technology Excellence Awards 2010. The transformation of Indian banks in the last decade has been phenomenal from local branch banking to global presence and anywhere-anytime banking. Most of the regular banking transactions can today be carried out from mobile phones. Sustained reforms and information technology (IT) have played a pivotal role since the initiation of the second phase of reforms post 1998. The benefits of technology such as scale, speed and low error rate are also reflecting in the performance, productivity and profitability of banks, which have improved tremendously in the past decade. Regulatory initiatives from the Central Bank have also played a large role in the banking sector. Robust technology-enabled organizations have now become the mainstay of the industry. Initiatives such as electronic clearing service (ECS), national electronic funds transfer (NEFT), real-time...
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...Feminism can be roughly defined as a movement that seeks to enhance the quality of women’s lives by impacting the norms and moves of a society based on male dominance and subsequent female subordination. The means of change in the work place, politically, and domestically. Women have come a long way since the 19th century. Women have been trying to prove to the male dominant world that they are equal. They can perform and complete any tasks equal, or in some cases better than man. Feminism has changed the definition of men in many ways. Women in the work place have transposed dramatically since the 19th and mid 20th century. Even if women had any education in the 19th century they were not allow to manifest any of it. It just was not proper for women to give any signs of intelligence and a brain of their own. They were to prepare themselves to become wives and mothers, which were the extent of their entire lives. In the early and mid 20th century some women were starting to be brave and take a stand for themselves. The beginnings of feminism were starting to take its massive role in society. More and more women were getting educated and looking for employment opportunities that had power. Men no longer can be in control of everything. Men in the work place started to feel impotent. But women fed off each other and gave each other strength. They were not looking for just the secretarial jobs; they were taking some men’s jobs and being good at it. They were becoming police officers...
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...CDC UNIFIED PROCESS PRACTICES GUIDE PROJECT SCOPE PLANNING Purpose The purpose of this document is to provide guidance on the practice of Project Scope Planning and to describe the practice overview, requirements, best practices, activities, and key terms related to these requirements. In addition, templates relevant to this practice are provided at the end of this guide. Practice Overview Each project’s product and/or service is unique and requires its own careful balance of practices, processes, tools and techniques, etc. to ensure the required work is completed as agreed upon by key project stakeholders. The sum of these along with the product and/or service to be delivered by the project is known as the project’s scope. Getting key parties to agree upon what is the scope of the project’s work is known as project scope planning. The practice of project scope planning is a key management practice for planning and delivering projects successfully. Project scope includes high level features or capabilities that the business team has committed to delivering to a customer as well as those they have not committed to delivering. Project scope is often defined by executive sponsor, steering committee, project sponsor, and the project’s customer with input from other appropriate stakeholders. Understanding and analyzing who project stakeholders are is an important early step in the scope planning process. Project stakeholders are persons and/or organizations such...
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...GM tries to remain upbeat in crisis By Michelle Fleury Business reporter, BBC News, Detroit auto show More than 100 General Motors (GM) employees, dealers and retirees cheered and waved signs that said "Here to Stay" as the car maker showed off its latest offerings at the start of the 2009 Detroit auto show. Even though it was carefully stage managed, the message was simple: GM plans to pull through its current troubles. Like its rival Chrysler, GM got a helping hand from the US taxpayer in the form of a loan. And its chief executive Rick Wagoner says the money is being used to "keep the business running during this difficult time". The loan is enough to keep GM going until Barack Obama is into the first few months of his presidency. Mr Wagoner would not comment on whether the struggling automaker would go back to Congress to ask for more money on top of the $13.4bn (£9bn) it has already been pledged. Instead he was cautious, saying only that "at this point the funding that we've got is going to be adequate". Collapsing demand It is struggling amid an economic meltdown that has curbed consumers appetites for new vehicles. That made 2008 the worst year for new car and truck sales since 1992. And Mr Wagoner is not upbeat for his firm's short-term prospects. "Eventually we'll get some recovery, but for now we have to plan for low industry volumes and for cutting out our costs and capacity to be able to manage against that," he says. To try to shift the...
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...The Story of Stephen Lewis HRE4M1 - ISU Submitted By Domin.k.kurian Kunjandy Kurian: 2 INTRODUCTION In this project I am going to talk about a famous person named Stephen Lewis one of Canada's most prominent activists, who seemingly done it all: a rewarding career in politics and diplomacy, and a lifetime of work on humanitarian issues on the world stage. In the first paragraph of this project I am going to construe his background information’s. In the second paragraph I am going to exhibit his educational information’s and qualifications. Stephen Lewis also has an extra ordinary career pathway. The third paragraph explains his career pathways. Since Stephen Lewis is well known for his social work the fourth and fifth paragraph explains his contribution to society. Finally the last paragraph also explains about his achievements and awards he gets for his remarkable social work. Stephen Lewis can be simply described as a person with amiable heart who burden about others. Kunjandy Kurian: 3 Domin.k.kurian HRE4M1 Dec-15-2014 Mr.Celebre The Story of Stephen Lewis Stephen Lewis is a person worthy of being anyone’s hero. He has had a very hustle life and has done many distinct things. Stephen Henry Lewis, the politician, diplomat, author, journalist, and labor arbitrator who born in November 11, 1937, Ottawa in Ontario to Mrs. Sophie Lewis and Mr. David Lewis. His parents gave him the Hebrew name "Sholem", a Yiddish derivation of the Hebrew word shalom, which means...
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...if he doesn’t matter that he is just another dollar sign. The doctor makes it his point at all time to make it known that he is a doctor in the hospital and should be treated with much more respect than with the mediocrity of a patient. He slowly comes to terms with the fact that he may have been mistreating people for a long period of time. As the movie begins rock 'n' roll music is playing in his operating room while literally holding patients hearts in his hands. He leads life being the father of two sons and a husband to a loving wife. Dr. Hurt expresses his feeling openly when he tells his interns that personal feelings have nothing to do with science of medicine. When the tables turn he discovers that he really doesn’t feel that way. In the beginning his ailments starts as a small, persistent cough. On one occasion he begins coughing and in the end coughs up blood. He goes to an otolaryngologist and discovers that there is a tumor and it doesn't work, he may need surgery. In that case, it's impossible to predict how his vocal cords will respond. He could lose the power of speech. This is devastating news, the doctor is left in a state of shock and disbelief as his treatment progresses, and he doesn't like how his own hospital treats him, as he wastes time in waiting rooms, tangles with the bureaucracy...
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...MARKETING MIX AND 4PS Product Majestic Travel Corporation a travel an agency that makes travel arrangements for tourists or other travelers. It offers services such as Outbound Travel (Passport Documentation and Assistance, International Airline and Hotel Reservation, Airline Ticketing and Recommendation, Tour and Travel Itinerary Planning, Visa Assistance and Consultation, Pilgrimage Package Tours, and Seminar and Conference Packages) and Inbound Domestic Tours (Regular Seat-In-Coach Local Tour Packages, Airline Ticketing and Recommendation, Metro Manila and Provincial Hotel Reservation, Seminar and Conference Packages, Tour Itinerary Planning, Visa Assistance and Consultation, and Transportation Charter). The activities of Majestic Travel involve buying a service. Services consist of benefits that are offered for sale. The products of Majestic Travel cannot be seen, felt, and heard before availing their services. However, they are able to show their customers that their office suggests quick and efficient service. Customers choose products or services that give them the best value. Thus, to be able to attract new customers and keep old customers, the company must understand the needs (and wants) of their clients. Majestic Travel caters to the needs of those who are into traveling and those who would want to have a relaxing vacation alone, or with their family and friends. Majestic Travel Corporation’s products/services can be positioned according to their uses for different...
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...TOTAL FIXED = $61,000 It?s nice to have a lower total fixed cost, as this is about half of the previous cost. But we?ve added a Variable Cost of $6 per haircut to Andre?s business. It makes it a little harder to figure out the breakeven. Why? Because at 10,000 haircuts the Fixed Costs are $6.10 per haircut and his Variable Costs are $6 per haircut ? and he?s losing money: NEW CONTRIBUTION = REVENUES ? (FIXED COST + VARIABLE COST) At 20,000 haircuts, he makes money, though he?s making less: $240,000 ? ($61,000 + $120,000) = $59,000 or $2.95 per haircut, which is 24.6% and profit per haircut is less than half what it was previously. --- NEW BREAKEVEN ================ What?s the point to this problem? It?s that some costs are Fixed and some are Variable in most businesses. And that contribution or contribution margin will depend heavily on revenues or volume. Breakeven for Andre?s Hair Styling will come when his Fixed Costs/Haircut are $6 ? because he already has a Variable Cost of $6/haircut that he?s paying to his employees. So it?s $61,000 / haircuts = $6, or 10,167 haircuts. Actually he?ll make a few dollars (not even $10) because of some rounding errors in the math: REVENUES = 10,167 * $12 = $122,004 FIXED COSTS (FC) = $61,000 VARIABLE COSTS (VC) = 10,167 * $6 = $61,002 INCOME = REVENUES ? (FC + VC) = $2 So, Andre?s breakeven went up under the new pay scheme. Now if he?d only given the barbers $5/haircut, it would...
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...Introduction: This task presents a management situation in which you are to apply a prominent motivation theory to improve performance. Given: A company produces a line of branded professional audio products and strives to provide the highest quality audio products in the industry. The company prides itself on its high production standards and goals. It has recently instituted a new production process in an effort to help employees meet its high production standards and goals. None of Supervisor A’s employees are doing well with this new production process. Some of them do not seem to put forth any effort to master the process. Those who have mastered the process to the point that they can readily make it work are not putting forth enough effort to reach the production goals the company has given. Even those who can readily make the process work and who are often top producers are not concerned about achieving the goals. Supervisor B has spoken informally to some of Supervisor A’s employees about the new production process and company goals. Some have said they cannot be successful with that process because it requires more hand dexterity than they believe they are capable of. Some who do not have difficulty with the process feel that it is not worth putting in extra effort to reach the production goals. There is usually no difference in salary increases among those who meet department goals and those who fall short of the goals. They believe...
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...There is no way like the American way What does the slogan actually mean? An American would probably say that the American way of living is the best way of living and with high standards. But is it how the Americans really live? Fifty years ago, that might have been the answer from a white American, but for a colored American, an African American for instance, it is a whole other story. Back then, around the sixties, there weren’t much you could call laws that supported the blacks. In fact, they didn’t really have any rights at all. They weren’t allowed to sit on the same benches as the whites, nor the same buses as them. Women weren’t even allowed to vote! The females’ rights to vote happened in the twenties, but only for white women. Thinking that black women aren’t worthy enough to vote is absurd. That is what a country is about though, right? It is the people who are to decide how they want their country to be formed - All of them. Not just men. Not just the whites. They can’t just decide what other people want. The injustice does not stop there. Even as a child they grew up, believing that the black Americans were less worth than the whites. At school the black and white children went to different schools, as if they were different from each other. White children, and youth too, would refuse to go to the same school as “negroes”. Why and for what reason? Were the white youngsters smarter than the black? I doubt it. Did the blacks have more “problems” than...
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...In the cases of Mr. Wade and Mr. Gow the most salient difference between the two of them is the amount of time they spoke during the class period. Mr. Wade talks 72% of the time, while Mr. Gow talks 9% of the time. In Mr. Gow’s case, students have the advantage of talking more in small groups and in class than Mr. Wade’s students. Mr. Wade’s practice is familiar to me, but as I remember my college and high school courses where teachers talked for the majority of the class time, I remember wanting to fall asleep, tuning out, and not listening to what they were saying. Therefore, I feel that Mr. Wade’s students would have done the same thing. The students are not soaking up the information he is saying because they are not actively participating in the discussion. In Mr. Gow’s discussion he has students look at he gives students a visual aid and asks them to study it and explain what is in the pictures. It says, “…it is interesting that it begins with students’ simply noting what they see but that within a dozen lines they begin to interpret what they see” (15). Students’ interpret the images and then start forming a conclusion about the relationship of the two pictures. In Mr. Wade’s discussion he asks students to break apart an essay and have the students fill in a chicken foot outline for the main idea, thesis, and categories. Mr. Wade says, “Show me you see its structure.” “Irene: Show you?” A student is obviously confused at what he means but then he just repeats...
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...1) ‘HP Way ‘is a set of primary values that define how workforce and the company are to perform. These values have become the foundation of the “HP Way”. It is an objective-oriented philosophy, where each constituency can share the same principles and work toward a common goal. The primary values of the HP Way are trust and respect for individuals; high level of achievement and contribution; conducting business with uncompromising integrity; common objectives through teamwork; innovation and flexibility. The company’s founder put focus not only on to make creative products but also to create supportive corporate culture. The Company has many personnel policies and internal structures which support these values and each policy complement and support each other. The activities of HP employees are guided by a comprehensive system of management by objectives (MBO). The greatest advantage of MBO is that objectives are goals, not specific tasks handed out by management. Goals can be achieved in multiple ways and it is expected from employees to find their own best ways to meet these goals. Job autonomy encourages creativity in the workplace and increase the sense of accountability to employees. From the beginning HP instituted participative management style to foster teamwork, trust, openness and cooperation. Teamwork is practiced within divisions between R & D, manufacturing, marketing, and finance. Through participative decision-making HP is...
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...treasure: life, liberty, and freedom. This treasure was and still is the American Dream. Now people from all over the world come to America in search of the same Dream; some even die trying. People were not as materialistic as people are now; they just wanted happiness. As time passed, people became more materialistic and began to take for granted what they were born with. However, the “American Dream” hardly ever turns out like any individuals have anticipated. America is often considered as the “best country” in the world, but behind this façade, many people struggle daily to earn enough money to survive. America has had its times of despair and advances but through it all we have learned new ways, cultures, and overall advancements in life. Throughout the American Ways book we were given to read and analyze, there were many things about American life that not only related to now but also showed us lessons learned and conflicts repeated through time. To myself and maybe others, the pieces presented to me in class had the ability to bring me into another world. In each piece, I was almost warped to a different time of America and had the ability to see many things. One thing I would like to compare is not...
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...The Toyota Way I have learned about “the Toyota Way”, which leads Toyota to success. “The Toyota way” is the core value and culture of Toyota. I learned a lot from “the Toyota way”. The following are 5 basic principles of “the Toyota Way”: First, challenge. Challenge means that a corporation should always challenge itself in terms of challenging the process. A company should not say that we are doing very well and we need not make any improvements. Unless a company always challenges the process, it cannot have constant competitive. Secondly, improvement An organization should keep improving itself. As the CEO of Toyota said, there is no perfect car; we are improving our cars base on customer’s needs. We should never think we are the best; we should keep identifying where we can still work on and improve. Consistent improvement is one of the traits of a great company. Thirdly, go and see All managers and employees should walk around to observe and find problems. This is basically a concept of managing by walking around, however, Toyota requires that all the employees have the ability to identify the potential problems. This ability needs a lot of experiences and knowledge. Fourthly, respect We should respect our employees and customers, as well as partners. We respect others and then they are going to respect us. Then we can a very good relationship with employees, customers and partners, which are very good for us. Fifthly, teamwork Teamwork is very important...
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