...Name: PAULIN T. Assignment 1 1. Let[pic], where [pic] is the set of integers and[pic]. F(x) is a one-to-one function if we can show that: For [pic] and[pic], [pic]=[pic]===> [pic]=[pic] Let’s find out: [pic]==> [pic]=[pic], and [pic]=[pic] So, [pic]=[pic]==> [pic]=[pic]. Subtracting 101 on both sides gives [pic]==> [pic]=[pic]. Since we’re able to show that [pic]=[pic] ==> [pic]=[pic], we then conclude that [pic] is a one-to-one function. 2. Let’s prove that [pic] is a one-to-one function. To prove that, we have to show that For [pic] and[pic], [pic]=[pic]===> [pic]=[pic] So, [pic]==> [pic] and[pic]. [pic]=[pic]==> [pic]=[pic] Subtracting -3 on both sides gives [pic]=[pic] By simplifying 4, we easily have [pic]=[pic], hence the result!!! Since we proved that [pic]=[pic]===> [pic]=[pic], we easily conclude that [pic] is a one-to-one function. 3. The ceiling function maps every real number to the smallest integer greater than or equal to that number,[pic], where [pic] is the smallest integer greater than or equal to [pic]. a) Is the ceiling function a one-to-one function? Let’s find out: The ceiling function is a one-to-one function if and only if for [pic] and[pic], [pic]=[pic]===> [pic]=[pic] By considering these real numbers, [pic]=5.60 and [pic]=5.88, if we apply the ceiling function to both real numbers; we’ll have the following output: [pic]=6 and [pic]=6. We notice here that [pic]=[pic]=6, but[pic][pic][pic]. We see that using the...
Words: 1357 - Pages: 6
...In this week’s reading report, you have three different authors who have a way of conveying the same message but just a different way of doing so. In chapter 23 you have author Tulasi Srinvias, who argues against pre-packaged food and how since women became excited about it, the pre-packaged meals started to flood the urban Indian market. In chapter 28 you have author Alison Leitch who argues in hopes to bring attention to “slow foods” and in chapter 29 you have author Jeffrey M. Pilcher, who argues for slow foods and fast foods and against fast foods. Each authors argument combines into one as you read further into the chapters you start noticing how each author backs up each other because they are all arguing that the best thing for the human body is home...
Words: 648 - Pages: 3
...[TITLE OF E-BOOK?] EXPERIENCE OPTIMUM HAIR HEALTH PROVEN TECHNIQUES TO GROW YOUR CHILD’S HAIR FAST! Tired of scouring the Internet for hours on end, seeking information for your natural child’s hair? Is your child’s hair experiencing dryness and breakage? Have you tried everything possible to get your child’s hair in peak condition, but still come up with mediocre results? Not to Worry. There’s Hope. At last! Everything you’ve ever wanted to know about natural hair for kids. In this step-by-step guide, you’ll get all of the trade secrets for getting lush, long and healthy natural hair for your child. Never before has there been a guide specifically devoted to the growth of kids with natural hair. You Can Grow Your Child’s Hair Too....
Words: 1344 - Pages: 6
...University of Phoenix Material Jenifer Hoang March 30, 2015 Lifestyle Analysis Consider the following questions concerning sedentary and physically active persons. Answer each question in 75 to 125 words each in the space provided. |Questions for both lifestyles |Sedentary person |Physically active person | |What are this person’s nutrition needs? |Requires less calories and protein in their daily|Unlike a sedentary person a physically active | | |diet but still need to have proper nutrician as |person needs a lot more calories and protein to | | |not to gain weight and prevent malnutrician. |fuel their body and help sustain that active | | |Depending on if it is male or female on how much |person’s life. Exercise requires energy | | |calories or protein the person needs. Women |(calories) to fuel and repair the muscles they | | |require lesss than men do. This also pertains to |would get this by comsuming the correct foods at| | |if the person is younger or older as an older |the right amounts to feed their body. Most | | |person does not need as many calories as a ...
Words: 1031 - Pages: 5
...company designed to grow fast. Being newly founded does not in itself make a company a startup. Nor is it necessary for a startup to work on technology, or take venture funding, or have some sort of "exit." The only essential thing is growth. Everything else we associate with startups follows from growth. If you want to start one it's important to understand that. Startups are so hard that you can't be pointed off to the side and hope to succeed. You have to know that growth is what you're after. The good news is, if you get growth, everything else tends to fall into place. Which means you can use growth like a compass to make almost every decision you face. Redwoods Let's start with a distinction that should be obvious but is often overlooked: not every newly founded company is a startup. Millions of companies are started every year in the US. Only a tiny fraction are startups. Most are service businesses—restaurants, barbershops, plumbers, and so on. These are not startups, except in a few unusual cases. A barbershop isn't designed to grow fast. Whereas a search engine, for example, is. When I say startups are designed to grow fast, I mean it in two senses. Partly I mean designed in the sense of intended, because most startups fail. But I also mean startups are different by nature, in the same way a redwood seedling has a different destiny from a bean sprout. That difference is why there's a distinct word, "startup," for companies designed to grow fast. If all companies...
Words: 5367 - Pages: 22
...Holden Caulfield, a troubled young man, is going through a tough time in life where everything is moving so quickly. He cannot accept the fact that he is becoming an adult and needs to start behaving as well as act like one. He constantly wants to be treated like an adult, but never acts like one. The reason for this is because he does not want to let go of his childhood. Dealing with change has been the issue he cannot seem to conquer. There are various images, symbols, and motifs that Salinger used in the novel that helps the reader realize that Holden is going through a tough time in life and cannot handle the fast paced. Overall the main problem with Holden is his trouble with dealing with change. There are many images in the book that Salinger used to make the reader come to a conclusion that Holden is having a hard time dealing with change. The movie theater, the museum, and the carrousel are just a few that were used in the novel. The movie theater is a strong image because basically that is the place where Holden goes to get away from everything. The movie theater is a place where he can escape reality and just relax from the fast paced life he has at that moment. Even though he thinks of the movie actors as phony, he still watches the movie to get his mind off the problems he is facing. Holden seemed really interested when he went to the museum. In the museum there were a bunch of artifacts, and displays. Holden really likes this museum because the artifacts/ displays...
Words: 1275 - Pages: 6
...Introduction This project is about Uniqlo Co., Ltd. enter the new market which is Vietnam in ASEAN(ASEAN FTA 2012). Uniqlo Co., Ltd. is a Japanese casual wear retail company. It not only retails casual clothing but also design and manufacture their own product. Around the world there is over 1,400 Uniqlo retail store (Fast Retailing 2014). Uniqlo set up the design studio in New York and joint venture with South Korea's Lotte Shopping Co., Ltd. to expand the business , these kind of international expanding business action has been undergoing since 2004 (Fast Retailing 2010). From 2011 to 2012, Uniqlo keeps to expand the business and involve more international activities. In recent years, Uniqlo entered the East South Asia market such as Thailand, Philippines and Malaysia(Fast Retailing 2013). This is the trend of Uniqlo expands the business to East South Asia countries. Base on Porter's Generic Strategies there is four strategies segment they are differentiation, overall cost leadership, focused differentiation and focused cost leadership (Porter 1980). Uniqlo invested a lot of factories in different developing countries. Uniqlo is finding the low cost production process in those countries and their products are targeted to broad segment. levitt claimed that when business enters to other market with no change on the product or service it is standardization, adaptation is there have change to adapt the local market needs (Levitt 1983). Uniqlo business is mixed with standardization...
Words: 2247 - Pages: 9
...with other fast food restaurants would offer more jobs for the people. In a land where fine dinners are on every corner public protest can make or break you and American multinational organization has survived and thrived in the mist of protest that would have slowed most companies march into success. McDonald’s has survived protest after protest. At the same time as the protest, the company was also taking heat from the documentary (super-size me) by Morgan Spurlock. This in turn caused the restaurant to be declared epitome of malb ouffe, or junk food by French media. Even this has not seemed to stop them. (httP://WWW.knowledgeatwharton.com.cn/index) To put this more into perspective let us explore the kind of market that they have survived, and how the rival companies have fared up to them. “By the mid 80’s there were three rivals in the fast food market that included Burger king (1983-1997) which in turn closed all 39 restaurants, The second restaurant that opened was Quick which opened its first store 1970’s where it has established itself as the leading European fast-food hamburger restaurant brand and is still presently open with 258 stores in the French market.” (http://groupe.quick.fr/en/franchise) “Quick applied the essentials of this new type of food outlet to create a version adapted to the more varied and discerning tastes and customs of European consumption, where the restaurant is a convivial environment where you can take your time. For Quick, the fast food commitment...
Words: 866 - Pages: 4
...personal computer sales and the second biggest one worldwide. Before I start on my presentation, I would like to ask a question: What has made Dell company set apart from most computer companies? My presentation will be focusing on answering this question. But, before I answer such a question, let me first give us a brief history of Dell Company. Firstly, looking at the background of Dell company. Dell Company was founded in 1984 by Michael Dell who was a college student at that time. Michael Dell started out his business by buying computer parts from the wholesale distributors, assembled them using IBM models, and sold these computers via mail at a high price. Then, Dell expanded rapidly and its growth move fast. Now, Dell employs more than 77,000 people around the world. Now, let me talk about the secret behind the great success of Dell company. Dell has followed two strategies, which no company has ever thought about. The first strategy is to sell computers directly to consumers. In this way, they eliminate the need for retailers to serve as middle-men. This process is known as a "direct business model". It has made Dell to grow fast and to reduce the cost. The second strategy Dell has followed is to allow buyers of computers to customize their computer during the ordering process. So, each computer was individually assembled. This strategy has helped the company to store less computers and therefore to reduce their...
Words: 327 - Pages: 2
...In the book The Omnivore’s Dilemma, the author Michael Pollan talks about fast food in the chapter “The Meal: Fast Food.” Pollan not only talks about fast food, but, dissects what is actually inside of fast food by seeing how much corn is in the food and how it leads into obesity, Type II diabetes, and heart disease. However, before we can analyze what the chapter is saying about fast food we need to examine the author as well. Is he creditable? Are his sources creditable? Is this another person on a soapbox telling us how unhealthy fast food is for us? Is he understandable to the average reader? These are the types of questions that need to be asked when reading this chapter. Looking at this we can determine that Pollan is a creditable source,...
Words: 1295 - Pages: 6
...1980s and 1990s. It quickly became the dominant leader within the bakery-café category. By 1997, it was clear the Panera Bread had the potential to become one of the best brands in the nation. Because the brand took off so quickly and is well known around the world. We as investors and consultants we need to look at what can make the company even better and continue to grow even more. In order to do so we will need to look at a SWOT analysis of the company, determine if the company possess core or distinctive competencies, and recommendations regarding actions the company needs to take to strengthen its competitive position. SWOT analysis is a planning method used to evaluate the strengthens, weaknesses, opportunities and threats involved in running a successful business. First we will discuss Panera Bread's strengthens. One of the very best thing about Panera Bread is that there is always fresh baked bread daily. Most restaurants offer free wifi for their guest. Another strong point is that Panera offers a menu for every time of the day and the menu also lets you decided what is healthy for you to eat. The menu lets the customer know exactly how many calories they are taking in with ordering that particular meal. The main strengthen in the Panera brand is their customer loyalty. Even though there are many strengthens there are also weaknesses. One weaknesses could be that most of the food prepared at Panera is organic. Because Panera offers fresh bread daily also means that the...
Words: 696 - Pages: 3
... heart attack. There are other kinds of food some doctors’ advice people who come to see them. I will wright about, nutritious food, fast food, and junk food. Nutritious food is good for your health. Nutritious food has a lot of vitamins, minerals and protein which is necessary to the body. We can find vitamins and minerals in: vegetables and fruit. We also can find protein in: meat, ages, chicken and milk. We should eat a lot of salad at least once a day because it is very healthy and it helps the body to fight the disease. The children must eat the nutritious food to grow up and be in good health specially the milk every morning. We can make the children love the healthy food by following these steps: change the normal juice to nutritious juice, let the children making small coking with mother helps, and if they back from playing and they are hungry we can give them some fruit to be habit. Fast food is prepared and served quickly. You can find this food in fast restaurants. Everyone likes fast food because it is delouses and it saves more time spicily to people who works and they don’t have a lot of time so the best way for them is the fast food. It has less of the vitamins because it covers in the boxes so; it loses the important vitamins. The restaurant has fast way to pay attention the people to the restaurant. For example to the fast food: hamburger, pizza and hotdog. Junk food tastes good but isn’t good for your health. The biggest cause of fattens is junk food. The...
Words: 440 - Pages: 2
...make people know clearly about any events of nation and global. * Technology: provide people widely knowledge * To make people know about caring their health in modern science. * People know more about evaluation of technology. * People are highly of creative thinking, and to develop technology. * Provide people convenient communication via internet with each other and getting fast information. * People can produce things using technology today. * Culture and civilization: the advertising which allow people know more about their religion include languages, letter, speech, belief, clothes and sort of things. * Business: people know about * Create business strategy * People are clearly to decide what they have to do in their business. * People are able to develop their business and let them success. * Sport: educate people more about * Sports are importance to health * Prevent people from ills * Get rid of any drugs * Education: * People value in themselves and society * Educate people to get in touch in study and let them know how importance of learning * People become good citizen and good behavior * Make people respect to their parents and the elder * Educate people to act in good * Prevent people from crime * Health care: provide people more knowledge * People know how to maintain health, living, clean and well-being * Exercise to get rid of any ills * To eat without harm ...
Words: 516 - Pages: 3
...Who is to blame for the more than 40 million obese people that currently reside in the United States? Who is to blame for all the fast food restaurants that nearly everybody criticizes, yet makes millions and millions of dollars every year? Why is America considered one of the laziest countries in the world? It is not fair to point a finger at the soda and candy industries, the fast food restaurants, or the grocery stores because they are not the ones at fault. The United States is a free country. Living in this free country, we are allowed to pick and choose what restaurants we eat at, what we order at those restaurants, how much food we buy at the grocery store, the kind of food we buy at the grocery store, etc. The blame cannot be put where it is easy to put it. The only people we, Americans as a whole, can blame for the obesity problem, the successful soda and candy industries, the wealthy fast food restaurants, and the laziness of our nation, is ourselves. Over the years, numerous lawsuits have been filed against soda and candy companies, blaming them for the overweight children in our country. For example, the article “Lawyers Ready Suit Over Soda” written by Caroline E. Mayer on the Washington Post website, explains a lawsuit that a group of lawyers created in 2005. They compiled the lawsuit against soft-drink companies that sell sugared soda in schools, and are aiming to have soda machines removed from all schools. Richard A. Daynard, an associate dean at...
Words: 1851 - Pages: 8
...computer sales and the second biggest one worldwide. Before I start on my presentation, I would like to ask a question: What has made Dell company set apart from most computer companies? My presentation will be focusing on answering this question. But, before I answer such a question, let me first give us a brief history of Dell Company. Firstly, looking at the background of Dell company. Dell Company was founded in 1984 by Michael Dell who was a college student at that time. Michael Dell started out his business by buying computer parts from the wholesale distributors, assembled them using IBM models, and sold these computers via mail at a high price. Then, Dell expanded rapidly and its growth move fast. Now, Dell employs more than 77,000 people around the world. Now, let me talk about the secret behind the great success of Dell company. Dell has followed two strategies, which no company has ever thought about. The first strategy is to sell computers directly to consumers. In this way, they eliminate the need for retailers to serve as middle-men. This process is known as a "direct business model". It has made Dell to grow fast and to reduce the cost. The second strategy Dell has followed is to allow buyers of computers to customize their computer during the ordering process. So, each computer was individually assembled. This strategy has helped the company to store less computers and therefore to reduce...
Words: 423 - Pages: 2
