Appreciative and Thank-You Quotations

Appreciative and Thank-You Quotations A word of appreciation or a simple thank you can do wonders for building relationships. A thank you is not just courtesy or good manners; it acknowledges and hence cherishes kindness. Here are some beautifully worded thank you quotes. The gratitude of most men is but a secret desire of receiving greater benefits. -Francois Duc de la RochefoucauldDo not let the empty cup be your first teacher of the blessings you had when it was full. Do not let a bard place here and there in the bed destroy your rest. Seek, as a plain duty, to cultivate a buoyant, joyous sense of the crowded kindnesses of God in your daily life. -Alexander MaclarenO Lord, who lends me life; lend me a heart replete with thankfulness. -William ShakespeareIt is the will to be grateful which constitutes gratitude. -Joseph CookNext to ingratitude, the most painful thing to bear is gratitude. -Henry Ward BeecherThou hast given so much to me,Give one thing more- a grateful heart;Not thankful when it pleaseth me,As if Thy blessings had spare days,But such a heart whose pulse may be Thy praise. -George HerbertWhen we were children we were grateful to those who filled our stockings at Christmas time. Why are we not grateful to God for filling our stockings with legs? -G K Chesterton Kindness is the language, which the deaf can hear and the blind can see. -Mark TwainWe can only be said to be alive in those moments when our hearts are conscious of our treasures. -Thornton WilderWhat I have done is worthy of nothing but silence and forgetfulness, but what God has done for me is worthy of everlasting and thankful memory. -Joseph HallFeeling gratitude and not expressing it is like wrapping a present and not giving it. -William WardWhen eating bamboo sprouts, remember the man who planted them. -Chinese ProverbOnly a stomach that rarely feels hungry scorns common things. -HoraceSaying thank you is more than good manners. It is good spirituality. -Alfred PainterSilent gratitude isnt much use to anyone. -G B SternAs each day comes to us refreshed and anew, so does my gratitude renew itself daily. The breaking of the sun over the horizon is my grateful heart dawning upon a blessed world. -Adabella Radici

Of mice and men coursework

Of mice and men coursework Of Mice and MenFurther reading courseworkJohn stienbeck and Elisabeth gaskel are both very similar writers and both write similar storeys. Two of their books "of mice and men" and "half brothers" both have similarities and links. Even though they had 100 years of time between them the two story's both have similar characters and are both convincing in similar waysHelen and her first husband were in a very close relationship we know this due to the fact that she could not talk about him after he died of scarlet fever, as she is two upset. Then her first baby dies just before Gregory was born. But she soon forgot about him and concentrated on rasing GregoryShe then marries William Preston but this is more for financial and social security as she starts loosing her visions and can no longer sew with her aunt fanny.Of Mice & Men (album)Whom came to help look after her and the baby. So when William asks her to marry him she was relieved and jumped at the chance for some one to look after her and her baby. But this was not based so much on love but on the security that he could provide.William did not have a very god relationship with Gregory because after the third baby, the narrator, Helen dies but William blames Gregory for the death of Helen, even though it was more likely to be the narrator's fault. But William had hated Gregory to the point that he even bullied the dog, lassie. But he mused have loved him deep down as he still raised Gregory and let him live with him.Gregory's relationship with his half brother was not a good one as they blamed each other for the death of their mother. But Gregory...

The High Court, The Crown Court and Magistrates Court Essay

The High Court, The Crown Court and Magistrates Court - Essay Example As district judges are legally trained, they can work through case quicker, and have better technical and legal knowledge(Daryl Williams, 2001, p.146). Lay Magistrates can also be referred to as 'justices of the peace'. The Lord Chancellor appoints JP's. This is officially done beneath a document called 'commission of the peace'. This is carried out in two ways. moreover in respect of counties, where it is beneath the advice of the lord lieutenant of the county and help by the advisory committee, or in respect of urban areas. In this case, it is on suggestion of the advisory committee only(Anthony Blackshield, 2000, p.428). No doubt, these committees were kept clandestine, until 1992, but have since been re-published so that all names are renowned. The Lord Chancellor has to take into account that the panel has a wide-cross part. This means that there be supposed to be a diversity of dissimilar people from dissimilar ethnic and social backgrounds. This is to make sure that the panel of JP's is delegate of all possible defendants, and all feature of society(Michael White, p. 152). In order to become a JP, it is important to be reliable and committed. The lay people must either live or work, within a 15-mile radius of the area being scrutinized on behalf of the defendant. JP's must also be able to sit in court for a minimum of 26 sessions-one session making up one half day. The lay people are not paid, therefore they are reimbursed for loss of earrings, travel expenses and lunch etc. it is vital for lay people to be aged between 21 and 65, although there are not may 21 year old JP'S and the youngest age usually ranges from 26-27. This is due to lack of life experience. Above all it is important for the potential JP'S to not have a criminal record this refers to bankruptcy, theft, tax etc(Enid Campbell, 2001, p.95). Critical Analysis Of The Use Of Magistrates Courts There are lots of advantages of having lay magistrates. As they are not paid, the government save money. The magistrate's court is therefore contemptible to run. It would be extremely luxurious for the courts otherwise, to hire legally trained judges. The magistrates are usual people. They have understanding of the kind of live the defendants have. This variety of people shows that there is more of a representation (Cracknell DG). The judiciary is made up of a wider cross-section. 45% are women. though there are not numerous ethnic minorities there are still a vast amount, and the numbers are rising. The magistrates also get hold of local knowledge. As they live inside 15 miles of the area, they know what the circumstances re like, and they are aware of certain difficulty so they can empathize with the people(Anthony Blackshield, pp.427-28). There are also some disadvantages to. Sometimes, as the lay people are described as being 'middle class, middle aged and middle minded' they do not always cover a very wide cross-section of the real, for example if there was young defendant on trail, the older lay people wouldn't be able to fully understand him, and his thought and feeling (Zander M). This would be bad, as the younger people would be treated unfairly. There will be little common with the younger defendants and the older lay magistrates. Although a

Discussing the relationship between son and father Essay

Discussing the relationship between son and father - Essay Example The persona is helpless and this only explains the fact that the war in the World War II most affected the powerless in the region. Many themes are evident in this text such as; betrayal, resistance, collaboration and the relationship between father and son. The mood is somber because the persona hopes to save his family from the experience they all had with Holocaust but to his surprise, they are all gone. The group that was concerned with this form of inhumanity was referred to as â€Å"Nazis† and it supported the move by the Parisians. This group was made up of the Germans who were followers of Hitler. The Nazis were also against the existence of the Jewish in Paris hence, collaborated with the French policemen in order to destroy their existence. This was a form of betrayal by the Germans to the Jews since, they were neighbors in a foreign country but they still went ahead and collaborated with the natives in order to destroy them. All forms of inhuman activities are evide nt during this time and Eliezer cannot help but take the bull by its horn. He witnesses people being hang and burnt and he lives each day for his father. He says that the only thing that prevented him from dying was his father. This is because, without him, his father could not make it alone. However, it is ironic how some of the prisoners turn cruel just as the Nazis. The prisoners who are captives together with their fathers start mistreating their fathers for their survival. This relationship between a father and a son is supposed to be mutual but to Eliezer’s surprise, it is even worse than the relationship that can ever exist between two people not sharing blood. Eliezer narrates a story that involves three instances where the sons mistreat their father for their survival. In one instance, a son killed his father just to have a piece of bread to himself. This was uncouth because, just because the food that was offered to them was not enough, a son had to kill his father in order to save his own life. This happened when a German threw a piece of bread in the cattle truck the prisoners had been herded into during transportation. Another character referred to as, the son to Rabbi Eliahu is also seen abandoning his slow and weak father at the occurrence of a mad run for the purpose of increasing his chances that were left to save his life. In addition, Elizier also felt this form of burden through his father’s presence and that is why, he kept on fighting just to be alive for him. The live incidence when their fellow prisoners were hung in front of them was heartbreaking and saddening and in fact, this is what contributed to the hostile relations between fathers and sons (Wiesel, 2006). The sons starved to keep their lives going and since the presence of their father was a hindrance as they had to be reluctant in making any steps that might have left them behind, the only solution was to finish them completely. This was the highest degree of inh umanity. In this text, the author intertwines the past with the present to bring out the real meaning of the life that was experienced during the World War II in 1942. A story about a 10-year-old girl called Sarah; helps a journalist, Julia to uncover the true story about her husband’s family who are French. It is so sad to learn that the same people living in the modern world are the same people who mistreated

Essays of Pochury Festival Essay Example for Free

Essays of Pochury Festival Essay The attack was undertaken by the Eastern Command’s 1st Brigade under the command of Major General Zuheto, along with the then 4th battalion of Pochury Region under the command of Lt. Colonel Thorpa. The monsoon was at its height during the time and all major rivers like Tizu, Lanye and Thethsii were in full spate. The attack was launched after destroying all the six bridges on all the rivers. This was done to stop reinforcement from reaching the besieged army post. As the attack continued into the thirteenth day, ammunitions on both sides were running short and on several occasions the Indian Air Force plane tried to drop relief material and ammunitions but were prevented by the Naga Army. At the same time the Indian Air Force jet fighters strafed the attacker’s positions. An Indian transport plane (Dakota) trying to drop relief materials and ammunitions to the besieged post was shot down by the Naga Army on the 14th day of the siege and crash landed at Zathsii, a paddy field of Meluri village. The Naga Army captured all the 9 (nine) airmen including Flt. Lt. A. S. Singh. This led to a heavy army operation in Pochury area by the Indian Army, who was on a mission to search and rescue the captured airmen, none of whom were ever tortured but were later set free through the Red Cross. In the process of the army operations to rescue the airmen many villages were burnt down and untold atrocities and tortures were inflicted upon the villagers. On September 1, 1960, 6 (six) villagers from Phor village were tortured to death. Their names are Lt. Turachu, Village Chief, Lt. Yutsuchu, Pastor, Lt. Chupuchu DB, Lt. Yituchu GB, Lt. Turuchu GB, Lt. Mughazu GB. Again on September 3, 1960 another 3 (three) villagers from Yisi village were beaten to death namely Lt. Mazu GB, Lt. Throchu, Lt. Mazu RP. Two villagers Lt. Yichuhu and Lt. Nyupuchu. from Mokie village were also beaten to death. In Laruri village, Lt. Lingsang was buried alive after severe beating. Lt. Nyukhrusuh and Lt. Rhorupa of Meluri village were beaten severely and after which, their heads were chopped-off. Two villages, namely Tsikuzo and Kuluopfu, were abandoned due to tortures and humiliations meted out by the Indian army. On 6th September 1960, the Punjab Regiment posted at Kangjang village reached Matikhrii village around 10 am. The entire village was encircled in three rings and all the villagers were ordered to gather in one place. Men folk were separated from women and children. All the men were made to keep jumping and do sit-ups, for more than 5 hours in the scorching sun, naked. Any signs of tiredness were met with kicks and hits with rifle butts. Then just before sunset, Indian army not satisfied with the punishment meted out to the villagers, rounded them up inside the Village chief’s house and were forced to sit heads down like a lamb being lead to its slaughter. Lt. Thah, the then Village chief, knowing what was in store for them bravely volunteered to sacrifice. He stood bravely for the Naga cause even to his last breath and said â€Å"It’s a man’s pride. No surrender, no compromise for our birth right. This sacrifice is to protect our freedom. I shall gladly lay down my life for the Naga future generation. † Then an Indian army jawan, holding a blunt dao(hatchet) chopped off the head of Lt. Pogholo who was first in the line. Witnessing the brutality and horror in front of their eyes and knowing that all of them were going to be killed, one of the villagers managed to escape the execution forcefully. Then one after another heads rolled down separated from the bodies, and in the event a total of nine lives were lost. Their names are Lt. Thah, Lt. Pogholo, Lt. Mezitso, Lt. Pongoi, Lt. Eyetshu, Lt. Zasituo, Lt. Thitu, Lt. Kekhwezu, Lt. Kezukhwelo. The Indian army did not even allow the loved ones to perform last rites and rituals for the dead. All the dead bodies were dumped inside the village chief’s house and were burnt down to ashes along with the other houses and granaries. The women and children who had fled to the jungle to evade the horror and torture of Indian Army came back the next morning to find the whole village burnt down to ashes. Lt. Thitu who narrowly escaped from the execution was found by his wife Mrs. Rhiitariih with three cuts on the neck, stomach slashed and intestines thrown out. He quoted â€Å"Love, tell my beloved children the sacrifice I have borne for them and I am waiting to die in your lap with a cup of water† and after drinking, he breathed his last. Another victim Lt. Zasituo, traveling Pastor, was also found almost dead with multiple injuries on his chest and neck. Not long after, he died. Then the horrified women and children with no means simply covered the dead bodies with mud and left for the jungles fearing the Indian army might turn up any time. For days together, the survivors wandered in the deep jungle without proper food and shelter. The wild berries and fruits of the jungle were their only food and means of survival. The only comfort and encouragement they could give to each other was the knowledge of glorious sacrifices made by their men folk. The wild animals and birds of the jungle were their only companions, besides themselves. In extreme conditions of hardships and difficulty, many more precious lives were lost. The Naga Army then came to their rescue. They were given food, shelter and protection. Even today, the nightmares and tragedy of the incident still remain fresh in the mind of the survivors. In this long dispersion and exodus, the survivors entered Burma and stayed with the Naga Army in their camp at Sathi where Gavin Young of London Observer met them in the later part of 1961. In his book â€Å"Indo-Naga War†, page 29-30, he wrote that when he met the survivors, there were only a pathetic thirty people.

Animal-Assisted Therapy (AAT) Essay -- Animal-Assisted Therapy Essays

For many humans, a pet provides unconditional love and affection. Others feel an overwhelming calming, happy feeling when they are around animals. According to The American Veterinary Medical Association, studies have shown that due to these positive emotions that are stirred, the presence of and interaction with animals can lower heart rates and blood pressure. Animals that meet specific training criteria can become an integral part of a treatment process for a variety of psychological and physiological problems. Animal-Assisted Therapy (AAT), which can be provided in a group or individual settings, is designed to promote improvement in a human’s physical, social, emotional, or cognitive function. An article by Chitic, Rusu, and Szamoskozi (2012) provides an analysis in order to determine the value of AAT. Both dogs and horses that were trained for AAT were examined and studied to determine their effectiveness in treating patients with psychological disorders. The results showed that both therapy dogs and horses were valuable aids to the therapeutic process. The analysis suggests that proper training and repeated sessions were necessary for proper treatment of patients. In addition, certain disorders may benefit more than others in regards to AAT. For example, a child with ADHD may not benefit from a therapy dog’s presence, for it may worsen the hyperactive symptoms. On the other hand, a patient with depression may benefit greatly from the same animal (Chitic, Rusu, Szamoskozi, 2012). These findings are a perfect starting point to answering the research question: Do patients who engage in AAT display a betterment in their overall emotional well-being, as well as show improvement in their interpersonal interactions... ...dren with Pervasive Developmental Disorders." Western Journal of Nursing Research 24.6 (2002): 657-70. Print. Motomura, Naoyasu, Takayoshi Yagi, and Hitomi Ohyama. "Animal Assisted Therapy for People with Dementia." Psychogeriatrics 4.2 (2004): 40-42. Print. Tyberg, Amy, and William H. Frishman. "Chapter 6 - Animal-Assisted Therapy."Complementary and Integrative Medicine in Pain Management. By Michael I. Weintraub, Ravinder Mamtani, and Marc S. Micozzi. New York: Springer Pub., 2008. 115-24. Print. O’Conner-Von, Susan. "Chapter 14 - Animal-Assisted Therapy."Complementary & Alternative Therapies in Nursing. New York: Springer, 2010. 207-23. Print. Zilcha-Mano, Sigal, Mario Mikulincer, and Phillip R. Shaver. "Pet in the Therapy Room: An Attachment Perspective on Animal-Assisted Therapy." Attachment & Human Development 13.6 (2011): 541-61. Print.

A Summary on the Essay of Kate Gubata: The New Feminism

The word feminism has generally and categorically been associated to an assembly and movements of radical groups who try to eradicate the male dominance in society, talking if not shouting, just to get their messages across.   These were the women in our grandparents’ time who have endeavored and strived to get their equal rights as a human being.   Today, it has been observed that women try to keep away from becoming branded as feminist to disassociate themselves to this type of bloc.   Feminism does not have to be exclusively defined to this category.According to Gubata (2003), a lack of interest among women to engage themselves in these activities is due to the misconceptions on the aims of feminism.   The real goal of the feminists’ today is to elucidate both men and women to convert equality into a reality. Anyone can be an active participant on this action and tackle significant feminists’ issues such as pay inequity, recent passage of the â€Å"ab ortion drug† and legal battles of homosexual marriage.Contemporary feminists are those people who have no fear in speaking their minds and in sharing their ideas as well as being open to ideas of others.   Women should not deny themselves the prospect of getting themselves involved in something they believe in.   Having a united voice means getting the aim stridently heard.The author emphasized on the encouragement of the people to get themselves involved in promoting the goals of feminists.   Take note of the groups in your community which you might get interested in then once you find it, enlist yourself and be prepared to take action.   You may have dissimilar and diverse feminist perceptions in the group but the eventuality of accomplishing your purpose is more apparent.REFERENCEMcCuen-Metherell, J.R. & Winkler, A.C. (Eds.).   (2003). Readings for Writers (11th ed.).  Heinle-Thomson Learning.

High School Conformism Essay

Throughout majority of my high school life, I always questioned why things operated the way they did. Being forced to go to a place, or my parents could possibly go to jail. To be honest it sort of felt like a indoctrination. Going there I noticed everything was controlled and different social groups where created based on different peoples personalities. The irony of it all is that from a young age school seemed to indorse individuality, yet hypocritical policies such as school uniforms still took place later in the years. I questioned why there was so much conformity;why was everyone so worried about fitting in? While I can’t be the voice for every-ones’ reasoning behind peer pressure. I can give my own reason for occasionally feelings of peer pressure. The first 2 years of high school felt very much like a fight for my individuality. I’d find multiple ways to make myself feel as if I was different; for instance making modifications to my uniform. I also would follow subculture Stereotypes, although at the time I didn’t realize it was simple was pressure: The pressure to pull away from what I considered social emptiness. This was a phase thankfully, and thankfully I slowly I began to realize; I was essentially doing what other students where doing, but strangely for the opposite reasoning(to get away from conformism). I’d say its a great learning experience, and simply put. The best way to strive for individuality is not striving for individuality. When you force yourself to be different, weather it be following a subculture (beyond your own personal beliefs), or not liking a ideology without doing your own research. You’ll definitely fall into the ignorance of conformism. After coming to these conclusions, I decided to become more social; experiencing new things so I could have a opinion, rather than stagnate in ignorance. I’ve learned a lot in regards to life, but most importantly I learned a lot about myself. I can finally say that I am a individual. I believe high school has definitely had a impact on me, although I’m sure it wasn’t there intention to give me such enlightenment.

Pros and Cons of Teaching

Pros and Cons of Teaching Are you thinking about becoming a teacher? The truth is that it is not for everyone. It is a difficult profession which the majority of people on the planet are not capable of doing effectively.  There are many pros and cons of teaching. Like any profession, there are aspects that you will love and aspects which you will despise. If you are considering teaching as a career, carefully evaluate both sides of teaching. Make a decision based on how you will handle and respond to the negative aspects of teaching more so than the positive ones. The cons of teaching will be what lead to burnout, stress, and resentment, and you need to be able to deal with them effectively. Pros Affords you the opportunity to make a difference. A nation’s youth is our greatest resource. As a teacher, you are afforded the opportunity to be on the front lines, making a difference. Today’s young people will be tomorrow’s leaders. Teachers have the opportunity to have a profound influence on their students thus helping shape our future. Offers a friendly schedule. When compared to other careers, teaching does offer a particularly friendly schedule. You often have extended time off 2–3 times during the school year and three months during summer break. School is only in session from approximately 7:30 a.m.–3:30 p.m. each weekday allowing you evenings and weekends to do other things. Gives you the chance to collaborate with all kinds of people. Collaboration with students is, of course, your greatest focus. However, you will find that collaborating with parents, community members, and other teachers to help our students can also be rewarding. It truly takes an army, and when everyone is clicking on the same page, the students will reach their maximum learning potential. Is never boring. No two days are alike. No two classes are alike. No two students are alike. This creates challenges, but it ensures that teachers are always on their toes and never bored. There are so many individual variables in a classroom that you can be assured that even if you teach the same subject all day long, it will be somewhat different every time. Allows you to creatively share interests, knowledge, and passions with others. Teachers should be passionate about the content they teach. Great teachers teach their content with enthusiasm and passion that motivates their students. They engage students in creative lessons that spark self-interest and the desire to learn more about a particular topic.  Teaching provides you with a great platform for sharing your passions with others. Provides continuous opportunity for professional growth and learning. No teacher has ever maximized their potential. There is always more to learn. As a teacher, you will always be learning. You should never be satisfied with where you are. There is always something better available. It is your job to find it, learn it, and apply it to your classroom. Allows you to create a bond with students that can last a lifetime. Your students must always be your number one priority. Over the course of 180 days each year, you build bonds with your students that can last a lifetime. You have the opportunity to become a trusted role model that they can depend on. Good teachers encourage their students and build them up while providing them with the content they need to succeed. Provides solid benefits such as health insurance and a retirement plan. Having health insurance and a respectable retirement plan is a perk of being a teacher. Not every career offers either or both of those things. Having them provides you with  peace of mind should a health issue arise and as you get closer to retirement. Has a flexible job market. Teachers are a necessary part of our society. The job will always be there. There can be a lot of competition for a single position, but if you are not limited to a particular area it is relatively easy to find a teaching job virtually anywhere in the country. Can allow you to be closer to your children. Teachers work the same hours that their children are in school. Many teach in the same building their children attend. Some even receive the opportunity to teach their own kids. These provide tremendous opportunities to bond with your children. Cons Is not the most glamorous job. Teachers are undervalued and underappreciated by many people in our society. There is a perception that teachers complain too much and only become teachers because they cannot do anything else. There is a negative stigma associated with the profession that is unlikely to go away anytime soon. Will never make you wealthy. Teaching will not make you wealthy. Teachers are underpaid. You should not get into this profession if money matters to you. Most teachers now work summers and/or take a part-time job in the evenings to supplement their teaching income. It is a startling reality when many states offer first-year teacher salaries that are below their state’s poverty level. Is terribly trendy. Best practices in education change like the wind.  Some trends are good, and some are bad. They are often ushered in then out in a constant revolving door. It can be particularly frustrating to invest a lot of time in learning and implementing new things, only to have new research come out to say it does not work. Is being overtaken by standardized testing. The emphasis on standardized testing has changed over the last ten years. Teachers are increasingly judged and evaluated on the test scores of their students. If your students score well, you are a great teacher. If they fail, you are doing a terrible job and need to be terminated. That one test day is more valuable than the other 179. Is even more difficult when you do not have parental support. Parents can make or break a teacher. The best parents are supportive and engaged in their child’s education making your job easier. Unfortunately, those parents seem like the minority these days. Many parents only show up to complain about the job you are doing, are not supportive, and do not have a clue about what is actually going on with their child. Is often displaced by classroom management. The demand for classroom management and student discipline can be overwhelming at times. You cannot want nor need every student to like you, or they will take advantage of you. Instead, you must demand and give respect. Give your students an inch and they will take a mile. If you cannot handle disciplining a student, then teaching is not the right field for you. Is too political. Politics plays a key role in every level of education including the local, state, and federal levels. Money is the primary cog in the majority of political decisions concerning education. Politicians continuously push mandates on schools and teachers without truly seeking input from educators themselves. They often fail to look at the potential impact of a mandate 5–10 years down the road. Can be extremely frustrating and stressful. Every job comes with some level of stress and teaching is no different. Students, parents, administrators, and other teachers all contribute to this stress. Those 180 days go by extremely quick, and teachers have a lot to get done during that time. Distractions deter progress almost daily. In the end, a teacher has to figure out how to get results or they will not keep their job for long. Involves a lot of paperwork. Grading is time-consuming, monotonous, and boring. It is a necessary part of teaching that virtually no one enjoys.  Lesson planning also takes up a lot of time. Teachers also have to complete paperwork for absences, classroom level reporting, and discipline referrals. Each of these is necessary, but no teacher got into the field because of the paperwork. Requires more time than you think. The schedule may be friendly, but it does not mean that teachers only work when school is in session. Many teachers arrive early, stay late, and also spend time on the weekends working in their classroom. Even when they are home, they spend quite a bit of time grading papers, preparing for the next day, etc. They may have summers off, but most use at least a portion of that time at voluntary professional development workshops.

Sum of Squares Formula Shortcut

Sum of Squares Formula Shortcut The calculation of a sample variance or standard deviation is typically stated as a fraction. The numerator of this fraction involves a sum of squared deviations from the mean. In statistics, the formula for this total sum of squares is ÃŽ £ (xi - xÌ„)2 Here the symbol xÌ„ refers to the sample mean, and the symbol ÃŽ £ tells us to add up the squared differences (xi - xÌ„) for all i. While this formula works for calculations, there is an equivalent, shortcut formula that does not require us to first calculate the sample mean. This shortcut formula for the sum of squares is ÃŽ £(xi2)-(ÃŽ £ xi)2/n Here the variable n refers to the number of data points in our sample. Standard Formula Example To see how this shortcut formula works, we will consider an example that is calculated using both formulas. Suppose our sample is 2, 4, 6, 8. The sample mean is (2 4 6 8)/4 20/4 5. Now we calculate the difference of each data point with the mean 5. 2 – 5 -34 – 5 -16 – 5 18 – 5 3 We now square each of these numbers and add them together. (-3)2 (-1)2 12 32 9 1 1 9 20. Shortcut Formula Example Now we will use the same set of data: 2, 4, 6, 8, with the shortcut formula to determine the sum of squares. We first square each data point and add them together: 22 42 62 82 4 16 36 64 120. The next step is to add together all of the data and square this sum: (2 4 6 8)2 400. We divide this by the number of data points to obtain 400/4 100. We now subtract this number from 120. This gives us that the sum of the squared deviations is 20. This was exactly the number that we have already found from the other formula. How Does This Work? Many people will just accept the formula at face value and do not have any idea why this formula works. By using a little bit of algebra, we can see why this shortcut formula is equivalent to the standard, traditional way of calculating the sum of squared deviations. Although there may be hundreds, if not thousands of values in a real-world data set, we will assume that there are only three data values: x1 , x2, x3. What we see here could be expanded to a data set that has thousands of points. We begin by noting that( x1 x2 x3) 3 xÌ„. The expression ÃŽ £(xi - xÌ„)2 (x1 - xÌ„)2 (x2 - xÌ„)2 (x3 - xÌ„)2. We now use the fact from basic algebra that (a b)2 a2 2ab b2. This means that (x1 - xÌ„)2 x12 -2x1 xÌ„ xÌ„2. We do this for the other two terms of our summation, and we have: x12 -2x1 xÌ„ xÌ„2 x22 -2x2 xÌ„ xÌ„2 x32 -2x3 xÌ„ xÌ„2. We rearrange this and have: x12 x22 x32 3xÌ„2 - 2xÌ„(x1 x2 x3) . By rewriting (x1 x2 x3) 3xÌ„ the above becomes: x12 x22 x32 - 3xÌ„2. Now since 3xÌ„2 (x1 x2 x3)2/3, our formula becomes: x12 x22 x32 - (x1 x2 x3)2/3 And this is a special case of the general formula that was mentioned above: ÃŽ £(xi2)-(ÃŽ £ xi)2/n Is It Really a Shortcut? It may not seem like this formula is truly a shortcut. After all, in the example above it seems that there are just as many calculations. Part of this has to do with the fact that we only looked at a sample size that was small. As we increase the size of our sample, we see that the shortcut formula reduces the number of calculations by about half. We do not need to subtract the mean from each data point and then square the result. This cuts down considerably on the total number of operations.

Climate, geography, income per capita and growth Literature review

Climate, geography, income per capita and growth - Literature review Example Geography and environment has a closer impact on socio-economic development of a region. Historical data has revealed that geography has some effect on shaping the economic history. However, the amount of variance is an important consideration. Tropics are varied by braod climatic zones and economies as well (Torres & Mendez, 2000; 2002, Inter-American Development Bank, 2000). As a result, the research would identify the key geographical and climatic factors from the national database and analyze its relationship with income per person longitudinal data for a time period of 1950 to 2014. This paper will analyze this variance to test and interpret the condition of multicollinearity using a regression analysis, as some geographical factors might be highly correlated impacting the ultimate results. Analyzing the relationship between the major geographical features, such as altitude, climate, topography on the economic growth and prosperity with individual municipal incomes and their inequalities. Previous research has established a close relationship between economic development and geographical characteristics, such as topography, altitude, precipitation, temperature and rainfall etc., of a region. In this pretext, the tropical economies have lower income levels and growth rates than rest of the world. Temperate regions are more prosperous in this respect. The impact of geography on economic performance was considered exogenous for a very long time by economists (Rodrik & Trebbi, 2004). In fact there are direct channels influencing the effect of geography on productivity (Fujita, Krugman & Venables, 1999; Gallup, Sachs & Mellinger, 1999), in terms of productivity of primary activities, such as agriculture, farming, mining, fishing and forestry (Safford & Palacios, 2002). The classical Malthusian theory has stressed on how extremes of climate and temperature might diminish the productivity of labor as a consequence of spillovers and positive

Mutually Assured Destruction Research Paper Example | Topics and Well Written Essays - 3000 words

Mutually Assured Destruction - Research Paper Example Their own children fought the first man versus man battle with Abel as the first human casualty. From then onwards, from the Book of Genesis to the Book of Revelation, every chapter exposes the wars human beings have had to win. On the other hand, the theory of evolution paints an even more difficult birth for the human kind. It is survival of the fittest. Perhaps the Homo sapiens specie is indeed the fittest because it had survived the tests of time and nature. Sadly though, we did survive millions of years of evolution only to stand at the brink of total annihilation on our own hands. Apparently, Armageddon would come not through the Beast of the Book of Revelation or through a colliding giant asteroid. Contrary to the prophecies of prophets and filmmakers, the end of days would be brought by the beast of man called nuclear weapon when the interests of the world’s powers collide. Worse, there is no need for a world war three in order for the world to be in chaos. All it need s is a war between two nuclear superpowers and the earth will stand still, or whatever is left of it. War in this day and age is unthinkable but we need to think about it. War in the twenty first century is simply mad. Well, as a matter of fact, it is MAD. This paper shall look into the theory of war called Mutually Assured Destruction (MAD) and its role in the World War I, World War II and the Cold War. Moreover, this paper shall explore into the future of weapons and war in light of the technological advancements of our time. The MAD Theory When John F. Kennedy took over the reins on January 20, 1961, he declared in his inaugural address: "Let every nation know, whether it wishes us well or ill, that we will pay any price, bear any burden, meet any hardship, support any friend, oppose any foe, to assure the survival and the success of liberty.† Essentially, this was a confirmation that from then onwards, the USSR will never catch up on the mighty USA. The government will do everything in its power and utilize all available resources to ensure that the USA shall remain the world’s guardian of democracy and anyone who chose to disagree and oppose shall feel its power. True to his words, the President brought in Robert McNamara from the business sector to help him pound the competition and ensure its monopoly on world power. And McNamara managed the Department of Defense like he would a multinational company – always with a sharp eye on profit and always calculating the odds with the aid of cost-benefit analysis. The US developed more products that would be a big hit in the world market (read: weapons that would destroy the world). And the business of war was indeed good. President John F. Kennedy’s Secretary of Defense Robert McNamara introduced the world to the concept of Mutually Assured Destruction otherwise known as simply MAD. In his own words: â€Å"Mutual Assured Destruction is the foundation of deterrence†¦ If you want a stable nuclear world†¦ it requires that each side be confident that it can deter the other. And that requires that there be a balance and the balance is the understanding that if either side initiates the use of nuclear weapons, the other side will respond with sufficient power to inflict unacceptable damage. Mutual Assured Destruction. So Mutual Assured Destruction is the foundation of stable deterrence in a nuclear world. It's not mad, it's logical.† (Interview) Robert McNamara is credited with the doctrine of Mutually Assur