Evaluate leadership as practiced in the life of Jesus Christ in the Essay

Assess authority as rehearsed in the life of Jesus Christ in the light of 21st century setting - Essay Example The paper will address Jesus’ service and its application in present day church authority. The investigation will draw its realities for the most part from the Gospels. From the beginning of his service, Jesus set out to coach pioneers that would lead the early church. He chose twelve devotees with various abilities, gifts, interests and characters and tutored them to turn into a group. He instructed them to utilize their changed qualities so as to help each other in the service. Christ molded an authority structure with a pioneer who had others supporting him. When he rose to Heaven, he had manufactured an initiative structure including Peter as the Head and different pupils supporting him in a unified group that cooperated. This group of early church pioneers had a solidarity of direction to spread the Gospel to all countries. They went out lecturing and in their deeds commended each other’s works. From this early structure, the cutting edge church can attract exercises on the best way to structure its administration to accomplish better outcomes in serving the Gospel. Generally, the congregation utilized the progression model of initiative. In any case, with the development of the congregation, there have been changes that have required a move to an enabled group model of administration. Numerous pioneers have discovered they overpowered and exhausted under the progression model. With the enabled group model, the issue is settled as the pioneers work with others in a group. This model stresses mentorship of new pioneers and the advancement of a camaraderie among the pioneers to upgrade great working relations to support conveyance of the vision of the congregation. Strengthening implies that pioneers drop bureaucratic structures so individuals build up a feeling of possession and having a place in the initiative procedure. It empowers them put into utilization their abilities, encounters, energies and desire. Dynamic interest by the various individuals from the group will cause them to acknowledge the duties that accompany the initiative (Maxwell, 2005, p.

Annie John by Jamaica Kincaid Position Paper Essay

Annie John by Jamaica Kincaid Position Paper - Essay Example Mrs. John removed herself from Annie and Annie additionally got defiant. The book closes when Annie leaves for England. She likewise abandons her stressed relationship with her mom. This paper follows the slow corruption of their relationship. The episodes picked for conversation are on Annie's craving to play with the storage compartment, her lack of regard in laying the cover, her doing things any other way from her mom, her fantasy, the verbally abusing, the physical development that distances Annie from her folks and her last splitting from her family. Annie began encountering the crack in her relationship when her mom removed herself from Annie. During her initial years, Annie had a needy relationship with her mom. They did numerous things together and partook in getting to know one another. For instance, they used to appreciate taking a gander at the keepsakes in their trunk which included garments that Annie wore from her infanthood. When Annie turned twelve years of age, her development made her mom stop doing this. At the point when she proposed to her mom to glance through the storage compartment, Mrs. John answered in the negative. Annie composed that; 'An individual I didn't perceive replied in a voice I didn't perceive, In no way, shape or form! You and I don't possess energy for that any longer.' (Kincaid 27). Mrs. John's refusal changed Annie's cozy relationship with her mom stopped on the grounds that she felt stunned, baffled and hurt when she said that 'the ground wash free from me.......' (Kincaid 27). Mrs. John chos e to wean Annie off from her so she selected Annie to learn new things like habits and piano exercises. The portrayal indicated that Mrs. John was exceptionally furious, embarrassed and appalled when Annie was defiant to her educators' directions. Mrs. John regularly communicated her objection to Annie by turning down her mouth. She additionally said that Annie would need to live in her own home and pick her own specific manners. She needed Annie to be set up for this to occur later on. The mother and little girl relationship had moved from its old agreeable ways. Annie didn't have the security of living with her mom everlastingly since Mrs. John disclosed to her that she expected Annie to grow up and move away. Annie understood this as well and this stressed her cozy relationship with mother. Annie's cozy relationship with her mom was obliged in light of the fact that she arrived at development. She could understand her mom's dissatisfaction or disdain and therefore purposely maintained a strategic distance from her. For instance, when Annie had laid her comforter in a disproportionate manner that didn't put the weaving in the focal point of her bed. The bloom had a complex plan that needed to possess a focal position when spread level out on the bed. Mrs. John made a complain about this and condemned Annie for being reckless. Annie concurred with her and was quiet since she could have felt distanced and detached from her mom for disappointing her. She kept out of her mom's approach to keep away from further showdown. (Kincaid 30). Annie's developing development made her focus on freedom in her relationship with her mom. She figured she could accomplish that by being not quite the same as her mom or insubordinate with her mom. Annie strived to threaten her by doing things that she was unable to endure. (Kincaid 87). Annie and her mom had become wolves in sheep's clothing and had

Literature and History in Satrapis Persepolis

Literature and History in Satrapi's Persepolis The Relations Between Literature and History in Satrapis Persepolis Oct 30, 2018 in Literature Persepolis by Satrapi: Meaning of War in Young Years Persepolis is a graphic novel by Iranian novelist Marjane Satrapi. This novel is written in French language and is autobiographical. Persepolis described the childhood and early years of the author, which were held at the time of the Islamic Revolution in Iran. The title of the novel, Persepolis, is the name of the antique capital of the Persian Empire. This novel is counted in the ranks of the best fiction books. The comics were drawn in white and black, were translated in many languages, and became very popular. Marjane Satrapi in the novel Persepolis described her life during the war between Iraq and Iran. At that moment, she was a child and her childhood Satrapi spent in that war. In Persepolis 2, she depicted her school years in Austria and Vienna, her returning to Iran, study in collage, marriage, divorce, and moving to France. But it is not only a description of her biography, it is a Bildungsroman or a novel of formation: a literary genre, which focuses on moral and psychological growth of the character from childhood to adulthood, and in which protagonist change is very important.

Family Is The Basic Unit Of The Society - 1250 Words

People do not exist in a vacuum but among other people, whom together they unite to form family which is the basic unit of the society. People behavior differs that ranges from individual to community level. But in the same time causes of the behavior are different this is due to some level of interaction in the family comes across. Interaction occurs at different factors such as stable but open system which creates limit and when threatened the stability is in danger that why parents are expected to behave in manner not to affect their children so that stability is maintained at the same time the family should not be rigid and should be on the move to change, consequently predict what might come outside their family surroundings. This is reflected in both family in that the Angelino family is seen as stable unit with its own limit such as the family has children and properties and also they run their butcher shop this showing how stable and open system is a strength to the family another point is that the Angelino family comes large family where they enjoy a wider cooperation and they value education hence taking their children to school at parochial school.in another hand the Mr. and mrs mc Neil family comes from a wealthy family they enjoy high education and they also have few children as compared to Ange linos the mc Neil’s family look social and able to have fun with friends.The characteristic in the family include property which can be in terms of land, buildings.Show MoreRelatedMoney Is What Makes The World Go Around1705 Words   |  7 Pagesevery one of those items whether it be a basic need or a selfish desire. In order to have a shelter for living, an individual has to purchase one for a price or even multiple payments every month. In the United States, a person has to use money to buy basic needs such as food, water, and clothing. There are other needs to live in a modern society such as electricity, the internet, education, and transportation. The acquisition of these needs to survive in society causes stress for a person. An individualRead MoreApplied Sociology Within the Family Essay1165 Words   |  5 PagesApplied Sociology within the Family Applied sociology is a part of everyday life. Families experience sociological changes when parents get divorced, a new job is taken, or they get discriminated against. Most people may not think of family as a small society, micro level society, within itself. All families have a hierarchy of power beginning with the head of the household which tends to be the father. The way a family forms its own small society is interesting. Family roles have change dramaticallyRead MoreFamily in â€Å"The Public Enemy (1931)†700 Words   |  3 PagesFamily in â€Å"The Public Enemy (1931)† 　　　　A family is defined in different ways and at different perspectives based on the context and experiences of a person. Despite being a basic social unit that influences the society around it, a family remains a dynamic topic whose description has varied over time. To discuss the family and the definitions that the social unit this paper reviews and analysis the movie â€Å"The Public Enemy (1931)† produced by William. In regard to the analysis, this paper will exploreRead MoreThe Social Ills Of Caribbean Society1349 Words   |  6 Pagesunderpins the social ills in Caribbean society†. Discuss in relation to the relevant theoretical perspectives and the traditional and emergent role of the family in the contemporary Caribbean. The family has been described as the cornerstone of society. Denise Fyffe puts it as the birthplace of society and is the most basic economical, political, and social unit. In fact, anthropological studies have indicated that the family has existed in every known society. Based on evidence gathered by GeorgeRead MoreThe Effects Of Nuclear Family On Modern Society950 Words   |  4 PagesOver the past few decades social scientists have been engaged debates about family change and influences in modern society, with one of the main themes being the strength and relevance of the nuclear family. Those who believe that the nuclear family unit is breaking down often site the fact that social structures holding up the nuclear family, such as marriage, are collapsing ‘The chances in some societies are now less that 50-50†¦ that a child will live continuously to adult-hood with both naturalRead MoreFamily Values1073 Words   |  5 Pagesï » ¿ Family Values University of Phoenix Dynamics of Family Systems NUR/542 Dr. Theresa Goodman December 02, 2013 Family Values Although the importance of family in the health of today’s society has been mentioned by many health care professionals, only since the mid-1990’s has the true significance of family in the well-being of humanity been fully recognized (Friedman, Bowden, Jones, 2003). There has been â€Å"†¦little attention†¦paid to the family as an object of systematic studyRead MoreFunctions and Diversity of Family Structure in the UK Essay1276 Words   |  6 PagesFunctions and Diversity of Family Structure There are various debates and views on the term ‘family’ in today’s society. Although we can say that a family consists of a unit of people that are related, either legally through marriage or biologically. In both premodern and modern societies families have been seen as the most basic unit of a social organisation that carries out vital tasks, such as socialising children. Whereas a ‘household’ consists of a groupRead MoreOutline and Evaluate Functionalist Views of the Role of the Family in Society.1570 Words   |  7 Pagesthe role of the family in society. [33 marks] Functionalism is a structuralist theory; this meaning that it sees social structure (the social organisation of society) as more important than individuals. Functionalist sociologists believe that people have a range of basic needs that must be met if society is to run smoothly. Different groups and individuals in society are important because they perform certain functions which meet societys needs. Functionalism supports the family in nearly everyRead MoreHercules And Disney Versions Of Hercules Vs. Disney1074 Words   |  5 Pagesspin on is Hercules. This story originated from Ancient Greece, but many people in American society are more familiar with the Disney version than the original. The basic storylines of these versions are the same, but some of the intricate details that help define the cultures these stories come from, vary. These changes help highlight the differences between American society today and Ancient Greek society in the time this story was written. The most si gnificant changes in these two stories is theRead MoreFamily as a Primary Agent to Socialization1045 Words   |  5 PagesIntroduction A family is a group of people consisting of the parents and their children who live together and they are blood related. The family is always perceived as the basic social units whether they are living together in the same compound or at far distance but are closely related especially by blood. Therefore, the family unit has had a great influence on the growth and the character traits possessed by the children as they grow up and how they perceive the society they live in (Bourne, 2006)

Top Help on Research Paper Reviews!

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Bible and Biblical/Christian Worldview Free Essays

A worldview is how an individual looks at the world and how it works. It is how an individual views and interprets the world they live in. It is an individual’s attitude and ideas about the world that they live in. We will write a custom essay sample on Bible and Biblical/Christian Worldview or any similar topic only for you Order Now The biblical/Christian worldview The biblical/Christian worldview of Origin is basically that everything originated from and by God. Everything that exist is because of God and it is God that created everyone and everything. In the beginning was God, therefore he is the ultimate originator. Genesis 1:1, and Colossians 1:16-17. The biblical/Christian worldview of Identity is that men and women were created in the image of God. Our identity is based off God’s creation of us. We are God’s unique creation including all of the animals on earth. The biblical/Christian worldview of meaning/purpose is that our purpose is to get to know God, and have a personal relationship with God through Jesus Christ. The biblical/Christian worldview of morality is through revelation from God and by reading the bible. Through morality we follow God’s standard as how to live and behave as God’s children. The biblical/Christian worldview of destiny is that, we as Christians believing in heaven and hell. When we leave our bodies our soul will carry on to live with God in heaven or with Satan in hell. Those who have not accepted Christ as their personal savior and lived their lives as how we should in the body of Christ will not be welcomed into heaven. How you lived your life on earth will determine your destiny. A Biblical Worldview Influence. A biblical worldview should influence the way I think about, treat and speak to others on a daily basis in that God is love. The way I think about others should be the way Christ thinks of us. The way I treat others should be the same way in which I would want to be treated. The way in which I speak to others should also be in how I would want others to speak to me, with kindness, love and understanding. Referring to the biblical worldview, as Christians, we should treat, speak and think about others as Christ would to us. We were all created in God’s image, therefore we are to try our best to be like him, in our speaking, hearing, reasoning, loving and caring, just as Weider and Gutierrez stated in the reading. Following the Bible as our instruction and the example of Christ, our daily walk with others should be based on love and the teachings of Christ. A biblical worldview should influence the way I treat/interact with the environment and non-human creation in a way that I should treat the environment as God would. God created the environment for us so we should appreciate and value it. Genesis 2:15 states, â€Å"The Lord God took the man and put him in the Garden of Eden to work it and take care of it†, just as Weider and Gutierrez pointed out in the reading. We should treat non-human creation with care and love. God has given us the authority of taking care of non-human creation and we should do exactly as God would do. We are to care for, love and supply for non-human creation, just as we would human creation. How to cite Bible and Biblical/Christian Worldview, Papers

The Assistant Essay Research Paper Throughout Bernard free essay sample

The Assistant Essay, Research Paper Throughout Bernard Malamuds, attractively written, The Assistant there were mentions to cultural icons or to spiritual symbols that sometimes represent The authors major subject. In this book it is Franks changeless resemblance to St. Francis Of Assisi, and Franks elusive transition to Judaism. The most of import spiritual symbol in the book is St. Francis. Frank Alpine # 8217 ; s name two of import intensions: It suggests an affinity with St. Francis of Assisi and besides refers to mountain highs beyond the Timberline. Frank has graphic memories of larning about St. Francis. His desires to be like St. Francis emphasizes merely one half of his divided character, because he is both a saint and a evildoer in a manner. Which gives him an alter self-importance in the novel. Ward Minogue is Franks Satan and his angels are Morris and Helen. Frank doesn? t pattern faith like a dedicated adult male, he is Catholic because he came up that manner, but at the terminal of the novel there is a unusual turn because he gets circumcised! And becomes a Jew. We will write a custom essay sample on The Assistant Essay Research Paper Throughout Bernard or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page He all of a sudden converted faiths. This reminds me of Homers epic poem The Odyssey because like Odysseus Frank alterations to seek to go a better individual besides like St. Francis of Assisi. This is a affecting narrative but there is still some wit in it. T he chief ground for him to change over was so that Helen could accept him, but he besides wants to admit that he is no different from Jews, and that he is willing to populate among them even if Helen doesn? T want to. This is the ground it is humourous because he finds out that he can be a Jew because he portions a cardinal humanity with them. Harmonizing to Morris he was going a Jew long before his official transition. St. Francis of Assisi has something to make with Frank? s transition but it is of really small importance. Frank experiences change through enduring about like a human saint. This can besides travel for the Jews who suffered for many things. St. Francis is besides an of import factor because even his name compares: Frank-Francis and Alpine-Assisi. It is like they are both coming from the same topographic point or turning out of the same subdivision in a distorted, eerie like manner. This is besides a mark of good authorship because it is the writer that gives us these feelings. I believe that Frank is a figure of a saint traveling through certain alterations that make him more of a better individual. Franks elusive transition to Judaism was fortified by the good authorship of Malamud. He did it on the last page and on the last line even though there was some prefiguration. He leaves us in suspense. The Circumcision and such gave it away in a nice

How to Write a Professional Letter of Acknowledgment

How to Write a Professional Letter of Acknowledgment The purpose of letters of acknowledgment is to provide proof that you have received specific documents  or a specific type of request. Letters of acknowledgment are often used for anything involved in a legal process. Elements of the Letter As with any  business or professional correspondence, you should begin your letter with a few specific and expected elements: Your name, address, and the date on the top rightThe name of the person to whom you are addressing the letter on the top left on the line below your addressThe company name (if appropriate)The address of the firm or individualA subject line that briefly states the purpose of the letter in bold (such as Legal Case No. 24)An opening salutation, such as Dear Mr. Smith When you are beginning the letter of acknowledgment, start with a brief sentence stating that this is, indeed, a letter of acknowledgment. Some phrases you can use include: I hereby acknowledge the receipt of the following documents...I am acknowledging receipt of...We will make sure that the person responsible receives these materials immediately upon returning to the office. The remainder of the letter should include the body text, where you explain in one or two paragraphs what, specifically, you are acknowledging. At the end of the body of the letter, you can offer your help if needed, such as: If  I may be of further assistance, please do not hesitate to contact me. End the letter with a standard closing, such as: Sincerely, Mr. Joe Smith, XX Firm. Sample Letter It can be helpful to view a sample letter template. Feel free to copy the format below for your letter of  acknowledgment. Though it does not print as such in this article, note that you should generally make your address and the date flush right. Joseph SmithAcme Trading Company5555 S. Main StreetAnywhere, California 90001​​March 25, 2018​​​Re:  Ã¢â‚¬â€¹Legal Case No. 24Dear ______:Because Mr. Doug Jones is out of the office for the next two weeks I am acknowledging receipt of your letter dated March 20, 2018. It will be brought to his attention immediately upon his return.If I may be of any assistance during Mr. Jones absence, please do not hesitate to call.Yours sincerely,Joseph Smith Sign the letter under the closing, Yours sincerely, just above your name. Other Considerations The letter of acknowledgment provides documentation that you have received the letter, order, or complaint from the other party. Should the matter become a legal or business disagreement, your letter of acknowledgment shows proof that you did respond to the request from the other party. If you are unfamiliar with business letter style, take the time to learn the basic format for writing  business letters, and review the  different types of business letters. This will help you refine your skills for specific business purposes such as making inquiries, adjusting claims, and writing cover letters.

Sociology of Health and Illness

Sociology of Health and Illness The sociology of health and illness studies the interaction between society and health. In particular, sociologists examine how social life impacts morbidity and mortality rates and how morbidity and mortality rates impact society. This discipline also looks at health and illness in relation to social institutions such as the family, work, school, and religion as well as the causes of disease and illness, reasons for seeking particular types of care, and patient compliance and noncompliance. Health, or lack of health, was once merely attributed to biological or natural conditions. Sociologists have demonstrated that the spread of diseases is heavily influenced by the socioeconomic status of individuals, ethnic traditions or beliefs, and other cultural factors. Where medical research might gather statistics on a disease, a sociological perspective of an illness would provide insight on what external factors caused the demographics who contracted the disease to become ill. The sociology of health and illness requires a global approach of analysis because the influence of societal factors varies throughout the world. Diseases are examined and compared based on the traditional medicine, economics, religion, and culture that is specific to each region. For example, HIV/AIDS serves as a common basis of comparison among regions. While it is extremely problematic in certain areas, in others it has affected a relatively small percentage of the population. Sociological factors can help to explain why these discrepancies exist. There are obvious differences in patterns of health and illness across societies, over time, and within particular society types. There has historically been a long-term decline in mortality within industrialized societies, and on average, life-expectancies are considerably higher in developed, rather than developing or undeveloped, societies. Patterns of global change in health care systems make it more imperative than ever to research and comprehend the sociology of health and illness. Continuous changes in the economy, therapy, technology, and insurance can affect the way individual communities view and respond to the medical care available. These rapid fluctuations cause the issue of health and illness within social life to be very dynamic in the definition. Advancing information is vital because as patterns evolve, the study of the sociology of health and illness constantly needs to be updated. The sociology of health and illness is not to be confused with medical sociology, which focuses on medical institutions such as hospitals, clinics, and physician offices as well as the interactions among physicians. Resources White, K. An Introduction to the Sociology of Health and Illness. SAGE Publishing, 2002. Conrad, P. The Sociology of Health and Illness: Critical Perspectives. Macmillan Publishers, 2008.

You will choose a current event topic from the last 20 or so years and Essay

You will choose a current event topic from the last 20 or so years and explain how this current event links back to the Industrial Revolution - Essay Example This often affects society negatively as the importance and sacredness of communication is undermined. Society has changed from a proactive population of outdoor people to more reserved technology conscious individuals. This problem is compounding the more human beings evolve, and it seems to be a long-term issue (Palfrey and Urs 52). The problem is linked to the Industrial Revolution as one sees large groups of laborers fill the industries to make these products on a large scale, similar to the Industrial Revolution (Brownsword 58). This issue seems to be compounding and is one, which will complex as the demand for technological gadgets is on the increase. There is a similarity between both revolutions. The industrial revolution included a change from traditional methods to use of machinery while the Digital Revolution has seen the mass production of new advanced equipment aiming at changing and improving

Importance of FDI and Export push to China Essay

Importance of FDI and Export push to China - Essay Example   Foreign direct investment and the export-push remain important to the economy of China. The foreign direct investment and the export push have played a significant role in making reforms and continuous improvements in both internal and the external economic environments of China. The foreign direct investment in China occurs in joint ventures, cooperative enterprises, and the foreign owned enterprises. From the late 1980s, the China entered into a period of large-scale industrialization and an active reform on the FDI, exports, and domestic market consumption, which form the primary drivers of its economic growth. China has built its economy on matters of exports much faster than the other economic heroes of Asia have. The foreign direct investment is also another very important factor in the economic development of China. There is a good establishment relationship between the foreign direct investment and the international export trade in that the FDI usually follows exports by its logic (Lu and John 2002:312). The huge FDI influx recorded has increased an annual rate of China by more than 10 per cent since 1985 on wards. This has been accountable for the China’s economic growth. The recent studies have reaffirmed the importance of inward foreign direct investment for the sustainable growth in China. The phenomenal growth of the export links and the inward foreign direct investment of China have various indications. The annual total growth within the same span of time was 21 per cent.   China by this time accounted for 0.75 per cent of the world’s export in 1978. The share rose to 3.3 per cent a year later. By 1994, china exported manufactured goods worth 100 billion US dollars clinching the eighth position in the world in terms of production. The foreign direct investment has a direct influence on the export rate of the republic of china. In an isolated case in 1970s, the Chinese republican produced the largest share in the world export ma rket. The country also took the second position in terms of foreign direct investment after the United States. Since 1993, the total FDI of the republic of china has been raising up to 200 billion US dollars, which amounts to 31 per cent of the total FDI in all the developing countries (Chen 2012:397). The share of foreign exports of china increased from negligible amounts in the early 1980s to 20 percent in 1992 then to 41 per cent in 1998.

Impacts of the Imaginary Number on Mathematics

Impacts of the Imaginary Number on Mathematics Mathematics was mans first approach to understanding the world around them since the beginning of humanity. The study grew with history in various forms with every human civilization, and as time passed, more discoveries were made that allowed humanity to reach great heights in agriculture, architecture, social structure, and their culture. Great mathematicians continued extensive studies and experiments with various values that existed in their time to further improve the study. However, the concept of the imaginary number i was developed fairly recently. This essay is written from the fascination of abstract mathematical concepts, to develop the impacts of the imaginary number on mathematics. In order to research this topic, I am required to view numerous proposed and established claims of the imaginary numbers history, and find these ideas being used with real numbers to obtain solutions to problems we have today in other subjects such as physics, and astronomy. The purpose of this essay is to further research the significance of the imaginary number, i, and its contributions to modern mathematics, physics, engineering, and other sciences. The expansion of knowledge on this topic will further propel the study of mathematics in the future. Mathematics is the only subject that can explain the universe in a logical, unbiased, and truthful way. Mathematics has been in the roots of the development of advanced civilizations, in any time period. As humanity advanced, mathematics expanded. However, dilemmas were created as a consequence of its advancements. People created concepts within mathematics which a human brain could not fully understand. Concepts such as the imaginary number, i, are impossible to truly comprehend with our limited minds. However, the beauty of mathematics is that even the most impossible seeming, imaginary number, i has a history, and has significant impacts to modern mathematics. In mathematics, a square number is defined as an integer that is the product of some integer with itself. For example, 9 is a square number, as it is the product of 3 3. This can be written in an alternate notation, 32, which is pronounced as 3 squared. The name square comes from the fact that the area of a square is the product of its 2 equal side lengths. A square number is always a positive value, as positive positive = positive, and negative negative = positive also. If squaring exists as an operation, there has to be the counter operation; the square root, or . The square root takes a square number and reduces it to the single factor that was squared to form the square number. For example, = 3. As all square numbers are positive, square roots of negative numbers are illogical, or it was only considered illogical in the pastà ¢Ã¢â€š ¬Ã‚ ¦ = i, or the imaginary number, has the property of becoming a real number when raised to the power of an even number; i2 = ()2 = 1, or; i4 = ()4 = 1. A real number include all of the rational numbers, as in it is a whole number, or has an ending decimal value, and all of the irrational numbers, which have unending decimal values. The characteristic that all 3 types of numbers have in common is that they can be represented in a number line, in some form. Unlike these real numbers, i has no way to be represented on a line.   Furthermore, i is not the only imaginary number; it is the unit imaginary number, used as a part of a complex number. A complex number is a combination of a real number and an imaginary number, taking the form of x + iy, where x and y are real numbers. For example, 12 5i is a complex number. However, when x = 0, leaving only iy, such as 16i, it is then called a purely imaginary number. In contrast, if y = 0 leaving only x, the complex number is then a real number. In this sense, all real numbers are actually just subsets of complex numbers. In calculations, complex numbers are often paired with conjugates, which is defined as the binomial formed by negating the second term of a binomial, in the form of x  ± yi; in relation to complex numbers, it is the complex number with the imaginary part having the opposite sign. For example, the conjugate of the complex number 12 5i is 12 + 5i. These conjugates functions to eliminate the imaginary numbers from the denominator of a complex fraction, by multiplying the numerator and the denominator by the appropriate conjugate. The conjugate always = 1, so it does not alter the value of any equation. For instance, in an equation such as    it can be simplified by multiplying (which equals 1) to it, resulting in = =   yielding a single complex number, As shown, the imaginary number is not some abstract concept of virtually zero use; it can be applied to real mathematics as simply as such. However, the idea of an imaginary number was not widely accepted until relatively recently in history, in the last 2 centuries or so. Before the concept of imaginary numbers were even conceived of, mathematics in the western world was restricted to geometry, led by the Ancient Greeks. The Algebra that modern mathematics is familiar with was invented by the Hindus, which was later translated and improved by the Arabs, spear-headed by Arab Mathematician Al-Khwarizmi(780-850). At the time, however, the solutions to polynomials were restricted to positive solutions, omitting any negative quantities. Al-Khwarizmis algebra was then translated from Arab to Latin by Gerardus Cremonensis, and Leonardo Bonacci, also known as Fibonacci. (MerinoOrlando) The first recorded use of complex numbers in seen in the works by Gerolamo Cardano. Cardano was an Italian mathematician during the 16th century Renaissance. In fact, he is recognized as one of the most influential mathematicians of the time, being a prominent member for the foundation of probability, binomial coefficients, and binomial theorems. He also contributed to the invention of the combination lock, and the modern gyroscope. He published over 200 works over the course of his lifetime. One of his famous works, the Ars Magna, published in 1545, included the problem To divide 10 in two parts, the product of which is 40, or finding the solution to 10 + 40 = 0. (BogomolnyAlexander, Remarks on the History of Complex Numbers) Cardano usually used geometric algebra in order to avoid any use of negative numbers by considering several different forms of quadratic equations; however, he decided to solve the question he declares impossible. He first divided 10 in half, making each 5. Then according to the methods he discussed in the previous section of his book, he squares 5, and subtracts 40 from it, leaving à ¢Ã‹â€ Ã¢â‚¬â„¢15. He then square roots -15, which he then adds and subtracts from 5, leaving him with the roots (5 + ) and (5 à ¢Ã‹â€ Ã¢â‚¬â„¢ ). In mathematical terms, his operation was   Ã‚   52 = 25 25 40 = -15 5  ± (5 + ) (5 à ¢Ã‹â€ Ã¢â‚¬â„¢ ) = 40. This is confirmed by simply multiplying the binomials: (25 5 + 5 à ¢Ã‹â€ Ã¢â‚¬â„¢15) =(25 + 15) = 40. However, Cardano writes that in conclusion, this solution is useless, as it cannot be performed. (MerinoOrlando) The next significant milestone was achieved by the mathematician Rafael Bombelli in his (1572) work, Algebra. He was the first to recognize the significance of à ¢Ã‹â€ Ã… ¡Ãƒ ¢Ã‹â€ Ã¢â‚¬â„¢1, and notates it pià º di meno, or plus of minus in Italian. Bombelli was far more familiar with the operation of negative numbers than Cardano, and establishes the rules when handling different signed numbers. His works are as follows; the following is directly translated from his work in Italian: Plus times plus makes plus (1 1 = 1) Minus times minus makes plus ( 1 1 = 1 ) Plus times minus makes minus ( 1 1 = 1 ) Minus times plus makes minus. ( 1 1 = 1 ) He then annunciates the behavior of the number plus of minus: Plus of minus times plus of minus makes minus ( = 1 ) Plus of minus times minus of minus makes plus ( = 1 ) Minus of minus times plus of minus makes plus ( = 1 ) Minus of minus times minus of minus makes minus ( = 1 ) (BogomolnyAlexander, Remarks on the History of Complex Numbers) Bobelli took the same approach as other mathematician at the time when encountering negative roots as a solution to cubic and quadratic equations, often omitting them completely, or disregarding them. However, he did attempt once to solve a cubic using imaginary numbers, and succeeded, without realizing its validity. The term imaginary was coined by the philosopher and mathematician Renà © Descartes (1596-1650); he also coined the term real number to distinguish between real and imaginary roots of polynomials. He did not actually contribute to the mathematics aspect of i, but just provided a name for the poorly understood concept. John Wallis (1616 -1703) was first to introduce a geometric interpretation of complex numbers, and believe that negative numbers were larger than infinity, but still less than 0. This thought was shared by the famous mathematician Leonhard Euler (1707 1783), who introduced the symbol i as the symbol for   , and linked the exponential and trigonometric functions in the famous formula eit = cos(t) + i  ·sin(t). The geometric interpretation of complex numbers that modern mathematics agree with was first introduced by Caspar Wessel (1745-1818). Wessel treated complex numbers as vectors (which, he did not use the term vector), and derived most of their properties, including trigonometric form of multiplication (or, algebraic multiplication). The acceptance of complex numbers in mathematical society was further elevated by Carl Friedrich Gauss (1777-1855) with the use of complex numbers to Number Theory. Gauss introduced the term complex number, which he defined as the combination of real and imaginary numbers. However, i was still not fully accepted and understood until the mid-19th century, from the works of Sir William Hamilton, 9th Baronet, (1805-1865). He was responsible for the notation (x,y); he defined ordered pairs of real numbers of real numbers (a.b) to be a couple. This further implemented complex numbers as vectors or points on a plane, vector operators, and matrices. (MerinoOrlando) As one can observe from the historical track of i, complex numbers were abstract concepts of little value to mathematics until the last two centuries; many, such as Cardano and Bombelli, disregarded i as a valid method for finding solutions. However, today, with a better understanding of complex numbers, we can now solve equations they werent able to solve for centuries, with proper explanations to support the answer. With the knowledge of i, we are able to solve through some of the questions that the greatest mathematicians during the last few decades couldnt solve. One of the problems was derived from the cubic formula, invented by the Mathematician Del Ferro (1465 1526). To solve a quadratic equation, or an equation having the form , means finding the values of x for when y =0. In other words, when the equation is graphed on a xy-coordinate graph, the x values of the points where the line crosses the x-axis. Conveniently, an Indian mathematician named Brahmagupta (597-668 AD) invented a quadratic formula in to facilitate the process of finding the solutions: , where terms a, b, and c correspond with the letters in . (KnaustHelmut)While this is not the quadratic formula we are accustomed to today, , it was still a revolutionary way to solve quadratics. Del Ferro aimed to create a formula for cubic equations that have the same level of convenience as the quadratic formula., and he succeeds. The formula looked something like this:   Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚   , for the cubic equation in the form of   Cardano later acquired this secretly guarded formula and modified it to a much simpler form, by using a change of variable x = to eliminate the x2 value to form a simpler cubic equation, . Cardano published this formula in the previously mentioned Ars Magna (KnaustHelmut). However, Cardano faced a major problem; in a slightly different version of the equation, he found that his formula would break under certain circumstances: when ; when plugged into Cardanos extra modified formula, = , The result involves a square root of negative numbers; these negative square roots were enough of a problem to cause Cardano to stop in his progress on this area. At the time, all negative roots as a solution was considered by mathematicians as the problems way of saying there are no solutions, and in most cases, it was true. Bombelli, however, while still not accepting the validity of the imaginary number, finished solving Cardanos problem.   In the instance of a cubic, there has to be at least 1 real solution, because of the nature of the shape of a cubic on the xy- graph. At least 1 point had to cross the x- axis, at all circumstances. This is one of the Fundamental Theorems of Algebra; a polynomial function has to have n number of solutions for the largest nth power. Through testing some integers, Bombelli found that 4 is one of the solution to the equation: 43 = 15(4) + 4 64 = 60 + 4 64 = 64 The solution, as anyone can see, is a real number; for this to be the case, Bombelli realized that the root of i parts of each half of the equation needs to cancel out, or equal to zero when added together, like this: He then used this idea to form complex conjugates, and where and b are constants that we need to obtain, which we equate to each half of the equation: We can then start solving for the constants by cubing both sides of the equation: )33 = )( + =   Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚   = Now we need to separate the real and the imaginary parts:    and Now since we know that When we plug it into one of the derived equation, With these values, we now know that and When we cube these values, we can see that they do indeed equal what we started with:   Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚     Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚   =   Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚  Ãƒâ€šÃ‚   = And more importantly, when we add the two parts together as the formula tells us to do, we get the solution, 4. = 2 + 2 x = 4 Bombelli definitely solved Cardanos problem, using Interstingly, neither the original problem nor the answer had anything to do with but in the method, we can see that by extending the number system to include as a valid value, it is crucial to finding the answer, as the Mathematician Jacques Hadamard quoted, the shortest path between 2 truths in the real domain passes through the complex domain. However, when Bombelli succeeded in finding this solution, he discarded his discovery and considered as sophistries, or tricks that only exist to solve problems like these. We, as thinkers of modern mathematics, know that this is not true, and there are much more sophisticated aspects to complex numbers. (BogomolnyAlexander, Remarks on the History of Complex Numbers) How, then, are imaginary numbers valid? First of all, we need to understand exactly what limitations real numbers have. We are already familiar with the number line; it is an infinitely long line comprised of all real numbers, positive and negative. It includes all integers, all fractions and decimals, and even irrational numbers, or numbers with infinitely long decimal places, such as or . However, there is no place for on this line, and for centuries, no mathematicians could find a place for it because of one reason; i is 3-dimensional. In other words, because of the fact that i does not fit in a real line, all multiples of i, positive and negative, form another line, perpendicular to the line of real numbers. In the xy- coordinate plane, i forms a third axis perpendicular to both the x-axis and the y-axis. With this comprehension, we can further define complex numbers as functioning points or vectors in the Complex Plane. A vector is defined as a quantity having direction as well as magnitude, especially as determining the position of one point in space relative to another in a plane. This property of i opens up exponentially many possible uses of i in the 3-dimensional physical world. The term imaginary make the perception of i to be some abstract, incomprehensible mathematical fallacy by many people, and it was true, until last 2 centuries. The truth is, i is as real as any other number; many people today argue that the Cartesian name of the value, the imaginary number is misleading, because of all of the real potentials the value actually holds. In physics alone, complex numbers are used to calculate the amount of stress on structures, resonance, for the manipulation of large matrices in modeling various figures, and is especially used extensively when dealing with electrical current, and wavelength. In electrical engineering, values can be divided into scalar quantities and complex quantities; scalar is what real numbers are called in the scientific language. Some examples of scalar quantities include voltage produced by a power source, the resistance of any component in an electric circuit, measured in ohms (à ¢Ã¢â‚¬Å¾Ã‚ ¦), and electrical current through a wire, measured in amps. During some circuit manipulation, electrical engineers found that in alternating current circuits, voltage, current and resistance, or in physics terminology, impedance measured in AC, were not outputting scalar quantities like other DC circuits. They instead had alternating direction and amplitude (or magnitude), which as a result, had another dimension of frequency and phase shift. Engineers found that it was impossible to organize and represent all of these non-scalar values with real numbers; therefore, they turned to complex numbers, that were multi-dimensional in nature, and could express the 2 -dimentional quantity of frequency and phase shift in a single complex number. However, in physics and electronics, the letter j is used in the place of i to prevent confusion, as the letter i is used to represent the value of current. Therefore, scientists would write the complex numbers in the form of . (RobertsDonna) In electrical science, engineers are required to calculate missing values based off of given data, using specific equations such as E = I à ¢Ã¢â€š ¬Ã‚ ¢ Z, where E = voltage, I = current, and Z = impedance. For example, if the voltage in a series circuit is 45 + j10 volts and the impedance is 3 + j4 à ¢Ã¢â‚¬Å¾Ã‚ ¦, the scientist is required to be able to calculate the current by simply using the equation and inserting the values: amps (RobertsDonna) In contrast to some of the math problems we solved previously, the answer to these questions remain complex, which is natural, since the value still has to represent a 2-dimensional quantity of phase changes and frequency. These data are applied to anything electronic, from computers to washing machines, from someones smartphones to traffic lights; imaginary numbers are being used in the real world everywhere, which is why there are even arguments about the terminology of imaginary should be edited to an updated, mathematically correct term, such as lateral numbers for its lateral behavior in complex planes. i is truly valid. The concept of i existed for such a short period of time, yet what it allowed us to accomplish within that time is beyond imaginable. Society saw an explosion of technological development, improved machines, and programming; all of which would have been impossible without the understanding of i in the world run by technology and electricity. However, the most crucial achievements of i is that from a number that we considered to not exist in this world, we learned more about fundamental laws of physics, the dimensions we live in, and the world, the real world; we need to learn from it, and appreciate it for existing. References   Ã‚   Bogomolny, Alexander. Interactive Mathematics Miscellany and Puzzles. 2015. Article. 17 September 2016. Knaust, Helmut. The Cubic Formula. 20 5 1998. sosmath. Article. 24 September 2016. Merino, Orlando. A Short History of Complex Numbers. Kingston, January 2006. Document. Roberts, Donna. Does Anyone Ever Really Use Complex Numbers? 2012. Article. 25 September 2016. Weisstein, Eric W. Complex Number. 4 September 2016. from Wolfram MathWorld. Article. 19 September 2016.

Commencement of Business by a Public Company

Commencement of Business by a Public Company Restrictions on commencement of business. – (1) A company shall not commence any business or exercise any borrowing powers unless– (a) shares held subject to the payment of the whole amount thereof in cash have been allotted to an amount not less in the whole than the minimum subscription; b) every director of the company has paid to the company full amount on each of the shares taken or contracted to be taken by him and for which he is liable to pay in cash; (c) no money is or may become liable to be repaid to applicants for any shares or debentures which have been offered for public subscription by reason of any failure to apply for or to obtain permission for the shares or debentures to be dealt in on any stock exchange; d) there has been filed with the registrar a duly verified declaration by the chief executive or one of the directors and the secretary in the prescribed form that the aforesaid conditions have been compli ed with and the registrar has issued a certificate referred to in subsection (2); and Companies Ordinance, 1984 101 (e) in the case of a company which has not issued a prospectus inviting the public to subscribe for its shares, there has been filed with the registrar a statement in lieu of prospectus. l) and after making such enquiries as he ay deem fit to satisfy himself that all the requirements of this Ordinance have been complied with in respect of the commencement of business and matters precedent and incidental thereto, certify that the company is entitled to commence business, and that certificate shall be conclusive evidence that the company is so entitled: Provided that, in the case of a company which has not issued a prospectus inviting the public to subscribe for its shares, the registrar shall not give such a certificate unless a statement in lieu of prospectus has been filed with him. 2) The registrar shall, on the filing of a duly verified declaration in accordance wit h the provisions of sub-section (3) Any contract made by a company before the date at which it is entitled to commence business shall be provisional only, and shall not be binding on the company until that date, and on that date it shall become binding. (4) Nothing in this section shall prevent the simultaneous offer for subscription or allotment of any shares and debentures or the receipt of any money payable on application for debentures. 5) If any company commences business or exercises borrowing powers in contravention of this section, every officer and other person who is responsible for the contravention shall, without prejudice to any other liability, be liable to a fine not exceeding one thousand rupees for every day during which the contravention continues. (6) Nothing in this section shall apply to a private company, or to a company limited by guarantee and not having a share capital.

Definition and Examples of Intensifiers in English

In English grammar, an intensifier (from the Latin for stretch or intend, also known as a booster or an amplifier) is a word that emphasizes another word or phrase. Intensifying adjectives modify nouns; intensifying adverbs commonly modify verbs, gradable adjectives, and other adverbs. The opposite of an intensifier is a downtoner, which lessens the emphasis on the word or phrase its modifying. Examples of Intensifiers Oh, I am so not in the mood for this. Ive just been shot!—Nicki Aycox as Meg Masters in  Supernatural The woodwind has a slightly greater scope than the violin.—John Philip Sousa The women I had as very close friends were very independent women, very progressive. Theyre very sensitive about social change.—Toni Morrison Functions of Intensifiers To some degree, an intensifier acts as a signal: it announces that the word following it is worn out and that it should be understood as inadequate. For example, in the phrase an utterly beautiful night, the author is saying, Look, I mean something beyond beautiful, even if I dont have the precise word; try to imagine it...—From  Spunk Bite: A Writers Guide to Punchier, More Engaging Language Style by Arthur Plotnik Versatile Adverbs Intensifiers are morphologically perhaps  the most versatile category of adverbs in English. A glance at their history would appear to support the layering hypothesis.  There are intensifiers  that may be called fused forms, such as the suffixless very and compound somewhat, which both go back to Late Middle English, whereas the phrasal expressions sort of and kind of are more recent.—From Three Perspectives on Grammaticalization by Terttu Nevalainen Boosters and Language Change Humans are indeed natural-born exaggerators, and this trait is one of the main driving forces behind language change. Nowhere is this more obvious than in the constant renewal of intensifying words, or what are sometimes called boosters. These are the little words that fortify adjectives. They express a high point along a scale. Something isnt just good but awfully good, terribly good or even bloody good. Inevitably, such dramatic words wear out with time and become mundane. Alternative expressions then have to be found. This has already happened to boosters like awfully, terribly and horribly. You can see that at the root of these expressions are words like awe (originally, fear, dread), terror and horror. So they had strong, even gruesome beginnings. But overuse bleached them of this energy and force, and before long they meant little more than very.—From Gift of the Gob: Morsels of English Language History by Kate Burridge Repeat Intensifiers The sheer number of [intensifiers], all with more or less the same meaning, is significant. If you havent made your case, you have to pound the adverbial drums, the same way the boy in the story had to insist that this time, there really, really, really was a wolf.—From  When You Catch an Adjective, Kill It by Ben Yagoda Strunk and White on Intensifiers Rather, very, little, pretty—these are the leeches that infest the pond of prose, sucking the blood of words. The constant use of the adjective little (except to indicate size) is particularly debilitating; we should all try to do a little better, we should all be very watchful of this rule, for it is a rather important one and we are pretty sure to violate it now and then. William Cobbett on the Adverbs of Exaggeration (1818) Be rather sparing than liberal in the use of Adjectives. One which expresses your meaning is better than two, which can, at best, do no more than express it, while the additional one may possibly do harm. But the error most common in the use of Adjectives is the endeavoring to strengthen the Adjective by putting an adverb before it, and which adverb  conveys the notion that the quality or property expressed by the Adjective admits of degrees: as very honest, extremely just. A man may be wiser than another wise man; an act may be more wicked than another wicked act; but a man cannot be more honest than another; every man who is not honest must be dishonest, and every act which is not just must be unjust. Sources: Plotnik, Arthur.  Spunk Bite: A Writers Guide to Punchier, More Engaging Language Style. Random House, 2005Nevalainen, Terttu. Three Perspectives on Grammaticalization  in Corpus Approaches to Grammaticalization in English, ed. by  Hans Lindquist and Christian Mair. John Benjamins, 2004Burridge, Kate.  Gift of the Gob: Morsels of English Language History. HarperCollins Australia, 2011Ben Yagoda,  When You Catch an Adjective, Kill It. Broadway Books, 2007Strunk, Jr., William; White, E.B.  The Elements of Style. Pearson, 1999 (first published 1918)Cobbett, William.  A Grammar of the English Language in a Series of Letters. 1818

Business Vs. Government Owned Business - 2059 Words

Most Military Soldiers believe that when they get out of the Military and start a business that there is only one type of business they can own. They also believe that they will not have any problems in achieving their own business goals and will have stability in that business. This is why they have to set long and short term goals. Look at privately owned business vs. government owned business and the pros and cons of making your choice of business. When making that choice of either business type education level, wages, benefits, and total compensation are an affecting factor to a positive or negative outcome. Accomplishment, Issues, and Concerns The state of this project, including accomplishment, issues, and concerns are as followed: when doing the research, finding sufficient information to support the entire topic outline is difficult to find, narrow down, and changes from country to country. However, the choice of privately owned business vs. government owned business have been broken down into a small sample population of ten Military Soldiers out of twenty-five that are attending a class called, â€Å"Boots to Business.† While looking at the pros and cons of education level, wages, benefits, and total compensation, one can become somewhat familiar with the research topic by experience, while testing the validity, reliability, and obtain the purpose of this research. 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