Clovis - Early Hunting Colonizers of North America

Clovis - Early Hunting Colonizers of North America Clovis is what archaeologists call the oldest widespread archaeological complex in North America. Named after the town in New Mexico near where the first accepted Clovis site Blackwater Draw Locality 1 was discovered, Clovis is most well-known for its stunningly beautiful stone projectile points, found all over the United States, northern Mexico, and southern Canada. Clovis technology was not likely the first in the American continents: that was the culture called Pre-Clovis, who arrived before Clovis culture at least one thousand years earlier  and are likely ancestral to Clovis. While Clovis sites are found throughout North America, the technology only lasted for a brief period of time. The dates of Clovis vary from region to region. In the American west, Clovis sites range in age from 13,400-12,800 calendar years ago BP [cal BP], and in the east, from 12,800-12,500 cal BP. The earliest Clovis points found so far are from the Gault site in Texas, 13,400 cal BP: meaning Clovis-style hunting lasted a period of time no longer than 900 years. There are several long-standing debates in Clovis archaeology, about the purpose and meaning of the egregiously gorgeous stone tools; about whether they were solely big game hunters; and about what made Clovis people abandon the strategy. Clovis Points and Fluting Clovis points are lanceolate (leaf-shaped) in overall shape, with parallel to slightly convex sides and concave bases. The edges of the hafting end of the point are usually ground dull, likely to prevent the cord haft lashings from being cut. They vary quite a bit in size and form: eastern points have wider blades and tips and deeper basal concavities than do points from the west. But their most distinguishing characteristic is fluting. On one or both faces, the flintknapper finished the point by removing a single flake or flute creating a shallow divot extending up from the base of the point typically about 1/3 of the length towards the tip. The fluting makes an undeniably beautiful point, especially when performed on a smooth and shiny surface, but it is also a remarkably costly finishing step. Experimental archaeology has found that it takes an experienced flintknapper half an hour or better to make a Clovis point, and between 10-20% of them are broken when the flute is attempted. Archaeologists have contemplated the reasons Clovis hunters might have had for creating such beauties since their first discovery. In the 1920s, scholars first suggested that the long channels enhanced bloodlettingbut since the flutes are largely covered by the hafting element thats not likely. Other ideas have also come and gone: recent experiments by Thomas and colleagues (2017) suggest that the thinned base might have been a shock absorber, absorbing physical stress and preventing catastrophic failures while being used. Exotic Materials Clovis points are also typically made from high-quality materials, specifically highly siliceous crypto-crystalline cherts, obsidians, and chalcedonies or quartzes and quartzites. The distance from where they have been found discarded to where the raw material for the points came is sometimes hundreds of kilometers away. There are other stone tools on Clovis sites but they are less likely to have been made of the exotic material. Having been carried or traded across such long distances and being a part of a costly manufacturing process leads scholars to believe that there was almost certainly some symbolic meaning to the use of such these points. Whether it was a social, political or religious meaning, some sort of hunting magic, we will never know. What Were They Used For? What modern archaeologists can do is look for indications of how such points were used. There is no doubt that some of these points were for hunting: the point tips often exhibit impact scars, which likely resulted from thrusting or throwing against a hard surface (animal bone). But, microwear analysis has also shown that some were used multifunctionally, as butchery knives. Archaeologist W. Carl Hutchings (2015) conducted experiments and compared impact fractures to those found in the archaeological record. He noted that at least some of the fluted points have fractures that had to have been made by high-velocity actions: that is, they were likely fired using spear throwers (atlatls). Big Game Hunters? Since the first unequivocal discovery of Clovis points in direct association with an extinct elephant, scholars have assumed that Clovis people were big game hunters, and the earliest (and likely last) people in the Americas to rely on megafauna (large bodied mammals) as prey. Clovis culture was, for awhile, blamed for the late Pleistocene megafaunal extinctions, an accusation that no longer can be leveled. Although there is evidence in the form of single and multiple kill sites where Clovis hunters killed and butchered large-bodied animals such as mammoth and mastodon, horse, camelops, and gomphothere, there is growing evidence that although Clovis were primarily hunters, they didnt rely solely on or even largely on megafauna. Single-event kills simply dont reflect the diversity of foods that would have been used. Using rigorous analytical techniques, Grayson and Meltzer could only find 15 Clovis sites in North America with irrefutable evidence for human predation on megafauna. A blood residue study on the Mehaffy Clovis cache (Colorado) found evidence for predation on extinct horse, bison, and elephant, but also birds, deer and reindeer, bears, coyote, beaver, rabbit, bighorn sheep and pigs (javelina). Scholars today suggest that like other hunters, although larger prey might have been preferred because of greater food return rates  when the large prey wasnt available they relied on a much broader diversity of resources with an occasional big kill. Clovis Life Styles Five types of Clovis sites have been found: camp sites; single event kill sites; multiple-event kill sites; cache sites; and isolated finds. There are only a few campsites, where Clovis points are found in association with hearths: those include Gault in Texas and Anzick in Montana. Single event kill sites (Clovis points in association with a single large-bodied animal) include Dent in Colorado, Duewall-Newberry in Texas, and Murray Springs in Arizona.Multiple kill sites (more than one animal killed at the same location) include Wallys Beach in Alberta, Coats-Hines in Tennessee and El Fin del Mundo in Sonora.Cache sites (where collections of Clovis-period stone tools were found together in a single pit, lacking other residential or hunting evidence), include the Mehaffy site, the Beach site in North Dakota, the Hogeye site in Texas, and the East Wenatchee site in Washington.Isolated finds (a single Clovis point found in a farm field) are too numerous to recount. The only known Clovis burial found to date is at Anzick, where an infant skeleton covered in red ochre was found in association with 100 stone tools and 15 bone tool fragments, and radiocarbon dated between 12,707-12,556 cal BP. Clovis and Art There is some evidence for ritual behavior beyond that involved with making Clovis points. Incised stones have been found at Gault and other Clovis sites; pendants and beads of shell, bone, stone, hematite and calcium carbonate have been recovered at Blackwater Draw, Lindenmeier, Mockingbird Gap, and Wilson-Leonard sites. Engraved bone and ivory, including beveled ivory rods; and the use of red ochre found at the Anzick burials as well as placed on animal bone are also suggestive of ceremonialism. There are also some currently undated rock art sites at Upper Sand Island in Utah which depict extinct fauna including mammoth and bison and may be associated with Clovis; and there are others as well: geometric designs in Winnemucca basin in Nevada and carved abstractions. The End of Clovis The end of the big game hunting strategy used by Clovis appears to have occurred very abruptly, connected with the climate changes associated with the onset of the Younger Dryas. The reasons for the end of big game hunting is, of course, the end of big game: most of the megafauna disappeared about the same time. Scholars are divided about why the big fauna disappeared, although currently, they are leaning towards a natural disaster combined with climate change that killed off all the large animals. One recent discussion of the natural disaster theory concerns the identification of a black mat marking the end of Clovis sites. This theory hypothesizes that an asteroid landed on the glacier that was covering Canada at the time and exploded causing fires to erupt all over the dry North American continent. An organic black mat is in evidence at many Clovis sites, which is interpreted by some scholars as ominous evidence of the disaster. Stratigraphically, there are no Clovis sites above the black mat. However, in a recent study, Erin Harris-Parks found that black mats are caused by local environmental changes, specifically the moister climate of the Younger Dryas (YD) period. She noted that although black mats are relatively common throughout the environmental history of our planet, a dramatic increase in the number of black mats is apparent at the onset of the YD. That indicates a rapid local response to YD-induced changes, driven by significant and sustained hydrologic changes in the southwestern US and High Plains, rather than cosmic catastrophes. Sources Grayson DK, and Meltzer DJ. 2015. Revisiting Paleoindian exploitation of extinct North American mammals. Journal of Archaeological Science 56:177-193.Hamilton M, Buchanan B, Huckell B, Holliday V, Shackley MS, and Hill M. 2013. Clovis Paleoecology and Lithic Technology in the Central Rio Grande Rift Region, New Mexico. American Antiquity 78(2):248-265.Harris-Parks E. 2016. The micromorphology of Younger Dryas-aged black mats from Nevada, Arizona, Texas and New Mexico. Quaternary Research 85(1):94-106.Heintzman PD, Froese D, Ives JW, Soares AER, Zazula GD, Letts B, Andrews TD, Driver JC, Hall E, Hare PG et al. 2016. Bison phylogeography constrains dispersal and viability of the Ice Free Corridor in western Canada. Proceedings of the National Academy of Sciences 113(29):8057-8063.Hutchings WK. 2015. Finding the Paleoindian spearthrower: quantitative evidence for mechanically-assisted propulsion of lithic armatures during the North American Paleoindian Period. Journal of Archaeological Science 55:34-41. Lemke AK, Wernecke DC, and Collins MB. 2015. Early Art in North America: Clovis and Later Paleoindian Incised Artifacts from the Gault Site, Texas (41bl323). American Antiquity 80(1):113-133.Rasmussen M, Anzick SL, Waters MR, Skoglund P, DeGiorgio M, Stafford Jr TW, Rasmussen S, Moltke I, Albrechtsen A, Doyle SM et al. 2014. The genome of a Late Pleistocene human from a Clovis burial site in western Montana. Nature 506:225-229.Sanchez G, Holliday VT, Gaines EP, Arroyo-Cabrales J, Martinez-Taguena N, Kowler A, Lange T, Hodgins GWL, Mentzer SM, and Sanchez-Morales I. 2014. Human (Clovis)-gomphothere (Cuvieronius sp.) association approximately 13,390 calibrated yBP in Sonora, Mexico. Proceedings of the National Academy of Sciences 111(30):10972-10977.Shott MJ. 2013. Human colonization and late pleistocene lithic industries of the Americas. Quaternary International 285:150-160.Speer CA. 2014. LA-ICP-MS analysis of Clovis period projectile points from the Gault Site. Journal of Archaeolog ical Science 52:1-11. Speth JD, Newlander K, White AA, Lemke AK, and Anderson LE. 2013. Early Paleoindian big-game hunting in North America: Provisioning or Politics? Quaternary International 285:111-139.Surovell TA, Boyd JR, Haynes CV, and Hodgins GWL. 2016. On the dating of the folsom complex and its correlation with the Younger Dryas, the end of Clovis, and megafaunal extinction. PaleoAmerica 2(2):81-89.Thomas KA, Story BA, Eren MI, Buchanan B, Andrews BN, OBrien MJ, and Meltzer DJ. 2017. Explaining the origin of fluting in North American Pleistocene weaponry. Journal of Archaeological Science 81:23-30.Yohe II RM, and Bamforth DB. 2013. Late Pleistocene protein residues from the Mahaffy cache, Colorado. Journal of Archaeological Science 40(5):2337-2343.

Youth crime and delinquency Essay Example | Topics and Well Written Essays - 2000 words

Youth crime and delinquency - Essay Example It magnifies the deviant attitude of a supposedly deviant group and distorting in their image in the public causing further consequences for the group. Perhaps the most popular and most detailed study of deviancy amplification and media can be found in Stanley Cohen’s book Folk Devils and Moral Panics 1972. To begin with Cohen analyzed the relations of Mods and Rockers in 1964. Mods were the original people from which particularly diverse groups such as skinheads and casuals evolved in the 1970s. They were distinctive in their ways and followed soul music, wore ex-army coats and rode motor scooters. The Rockers on the other hand favored leather jackets, motorbikes and listening to rock and roll music. (Cohen, 1972) In 1964 a fight broke out among these two groups. As a result of these fights some of the youth were arrested. The journalists reporting this incident for the newspapers decided to make this tail a little spicier by distortion and exaggeration. The newspapers stressed on the fact that this had actually been a fight between the Mods and the Rockers who hated each other and had caused the violence. (Cohen, 1972) The journalists’ distortion had produced a new wave in the youngsters of Britain. Now they had created rivalry between the Mods and Rockers which was inexistent previously. The youth had now to select between the two groups and this led to a rivalry which took shape because of the media. The preceding incident had taken place on the Easter Sunday. Then when the Whitson Bank Holiday came the newspapers created propaganda for the meeting and battles of Mods and Rockers. Although the Mods and Rockers did end up arriving in huge numbers they were unsure of why they had gathered. The huge audience gathering had actually been the result of the massive propaganda by the newspapers. Although nothing significant happened the media reported scenes of violence and brawls. (Cohen, 1972) Following the newspaper alerts and predictions the government

All about Jupiter Essay Example | Topics and Well Written Essays - 1250 words

All about Jupiter - Essay Example The most accepted theory is that ice and other solid material combined to form its core. The core increased in size as it attracted other material from other sections of the Solar System resulting in an increased gravitational pull. â€Å"Eventually the core’s gravitational pull became strong enough to capture hydrogen and helium, which were abundant in the solar nebula.† (â€Å"Jupiter†, p. 200) That is why Jupiter consists primarily of hydrogen and helium. Jupiter rotates very quickly for a planet of its size, with a period of ten hours; it revolves around the sun once every eleven years. Like the other planets Jupiter orbits around the sun in an elliptical orbit. (â€Å"Jupiter†) It is approximately 480 million miles from the sun. (Simon) Jupiter is often seen high in the sky, and some its surface features such as its satellites can be seen with a telescope. â€Å"From our planet Jupiter looks like a bright star in the night sky.† (Simon, Introdu ction) It is one of the most luminous objects in the sky next to the Sun, the moon and Venus. Jupiter is considered one of the â€Å"gas planets† because its atmosphere is composed primarily of gas. It is two and a half times the mass of all the other planets in the Solar System combined. Jupiter is one of the Jovian (outer) planets; the other Jovian planets are Saturn Uranus and Neptune. There is no solid surface on Jupiter. Jupiter is composed primarily of hydrogen and helium. It is similar in composition to the Sun. In 2008, scientists were able to define the surface of Jupiter. â€Å"The surface of the planet is defined as the point where the pressure of the atmosphere is 1 bar, which is equal to the atmospheric pressure at Earth’s surface.† (Coffey, â€Å"Surface† n.pag) The pressure and temperature increase deep in its atmosphere, resulting in hydrogen being compressed into a liquid. Partially beneath its surface, the hydrogen hardens and becomes ca pable of conducting electricity. In this metallic layer, electrical currents resulting from the rapid rotation of Jupiter produces its immense magnetic field. In the middle of the planet its enormous pressure may support a solid core of rock that is approximately the size of Earth. Jupiter's upper atmosphere consists largely of hydrogen and a lesser percentage of helium. The interior of the planet is approximately 71% hydrogen, 24% helium and contains minimal amounts of other elements. The atmosphere also includes hints of methane, water vapor, ammonia, and silicon-based compounds. There are also traces of carbon, ethane, hydrogen sulfide, neon, oxygen, phosphate, and sulfur. The outermost layer of the atmosphere contains crystals of frozen ammonia. (â€Å"Jupiter† Wikipedia) The temperature on the surface is about -235 degrees F (-150 C). The temperature on Jupiter increases to about 70 degrees Fahrenheit deeper within its atmosphere. The winds continue to blow at approximat ely 450mph. (Holladay). The atmosphere in Jupiter increases in thickness until it reaches the ocean. The magnetic field in Jupiter is tremendous. Jupiter has the strongest magnetic field of all the planets. Millions of charged particles are confined to Jupiter’s magnetosphere: â€Å"the area in which magnetic field lines encircle the planet from pole to pole.† (â€Å"Jovian Giant†, para.3) Its rings and moons are entrenched in a radiation belt

Summary of Chapter 7 & 8 Essay Example | Topics and Well Written Essays - 750 words

Summary of Chapter 7 & 8 - Essay Example During the late 19th century, the government used to force people to work in its coffee plantations, which accounted for a significant portion of its exports. Most of the reforms that have been established over the years have fallen due to dictatorship and frequent unrests. The CIA has been involved repeatedly in the violence experienced in Guatemala and in determining its leaders by overthrowing others. Some leaders have also resigned after the armed forces failed to protect them. In spite of an improvement in economic performance during the second phase of the 20th century, levels of unemployment continued to increase and poverty persisted due to unequal wealth distribution. In the urge to control the population, civilian murders increased to approximately 300 people per month. At the same time, the government perpetrated terrorism acts both towards the civilians and the opposition. Peace talks did not bear fruits for a long period as the government continued to victimize the citizens and the rebels. Whenever the US was involved in armed conflicts in the nation, it was blamed for the most violations of human rights. Several elections in the 19th and 20th centuries led to violence and presidents being overthrown following rigging allegations. Even after the end of the civil war, violence worsened especially in 2004 when an estimated 2,000 civilians, mostly women, were killed. The other crime forms exhibited in 2013 included corruption, drug trafficking, impunity, and extra judicial killings. Contemporary Guatemala has continued to experience persistent poverty and economic problems. The state of political landscape appears to be improving starting with p rosecution of presidents due to corruption. Rios Montt, a former head, was prosecuted and is presently serving 80 year sentence for genocide and crimes against humanity. However, organized crime persists in addition to trafficking of drugs. Guatemala remains a

Firm value and share price strategy Essay Example for Free

Firm value and share price strategy Essay BAE facing challenges on Intensive competition and budget defence cuts by their major customers should focus on increasing shareholders’ equity by reduction of costs, adapting capabilities to the changing priorities of their customers and improve their Programme execution. Directors should monitor working capital expenditures to ensure that unnecessary further debt would be incurred that inevitably has an effect on book values. Higher book values (stockholders’ equity) act as a positive in a buyers assessment of purchase price, to some extent providing at least the illusion of a floor in value (Nation’s Business 2006). 4) Recommendations dealing with corporate governance Currently BAE Systems has faced problems facing its shareholders due to its criticism received on corporate governance and ethical conduct (Daily Mail 2010). As a recommendation, BAE should follow the financial reporting council (FRC) proposition on putting greater emphasis on the principles of UK’s corporate governance code, and apply the annual shareholder re-election. This would have a significant impact a wider engagement for the company’s shareholders. A necessary midyear review process should be conducted by an external facilitator to help in the evaluation process, metrics such as board effectiveness by dealing with issues in a timely manner should be considered. Having a wide and complex set of operations, information dissemination in a timely manner is very important to ensure appropriate decisions. Key performance Indicators should be the guideline across all the managing directors and their performance will be evaluated by comparison of their actual results from targets. 5) Critical evaluation of the model used Using financial models can provide actual figures for projection analysis that can create awareness for a company’s board of directors (Palmgren 1999). The Residual Income Model can be used as a valuation of the firm, based on its total book value and residual income (Financial Education 2010). During recent years it has been used as the primary valuation method due to its measurement of internal corporate performance and feasible estimation of the intrinsic value of common stock. The difference between a residual income and traditional financial statements are for the latter its purpose of preparation is to reflect earnings available to its owners, charges incurred for equity capital and dividends are not included, while the former adds the component of cost of equity capital for its calculation (Dodd 2001). Another limitation of the traditional income model is that it may not actually reflect the value of certain business activities. Such in our case with BAE system’s numerous acquisitions, on its accounting model it seems that BAE have significantly improved profitability on its strategies, however this could not be all false, but using the residual income approach some of the acquisitions doesn’t have the kind of effect, due again to the cost of equity capital (Bild, Guest,Cosh and Runsten 2002). 6) Conclusion BAE Systems being in an industry where intense competition exists should apply necessary strategies to ensure profitability in the coming years both for continuous operation and maximizing shareholders equity. Their current strategies for acquisition may have benefited them but the cost of violation of regulation procedures have definitely impacted over all operations. Using financial models like the residual income model, the board of directors can see, what would happen if they continue with their current policies on corporate strategy and governance, it has shown a negative impact on present firm’s value, thus the recommendation for consideration of a new effective strategy to be implemented across the board. List of References BAE Systems (2010) Annual Report 2009.[PDF] Available from http://bae-systems-investor- relations-2009. production. investis. com/results-reports-and-presentations. aspx [09 May 2010]. Brylawski, M. (1995). Developing a circumstance-based Innovation Strategy for a Midsized Aerospace Manufacturer:Fostering Entreprenuership, Opening Boundaries and Seeding Disruption. [PDF] Available from http://dspace. mit. edu/bitstream/handle/1721. 1/34748/56606619. pdf? sequence=1. [09 May 2010]. Bild, M. , Guest,P. , Cosh, A. , and Runsten, M. (2002). Do takeovers create value? A residual income approach on UK data. [PDF] Daily Mail (2010). BAE flies into storm with shareholders. Available from http://www. thisismoney. co. uk/markets/article. html? in_article_id=503922in_page_id= 3. [09 May 2010]. Dodd, J. (2001). Operating income, residual income and EVA: Which metric is more value relevant. Journal of Managerial Issues. Financial Education (2010). The Residual Income Valuation Model. Available from http://financial-education. com/2007/10/30/the-residual-income-valuation-model/ [09 May 2010]. Financial Times (2010). FT Market Data BAE Systems. Available from http://markets. ft. com/ft/tearsheets/analysis. asp? s=BA.:LSE. [09 May 2010]. Nation’s Business (1996). 10 ways to increase your firms value Net Worth. Available from http://findarticles. com/p/articles/mi_m1154/is_n11_v84/ai_18818240/. [09 May 2010]. Palmgren, B. (1999). The Need for Financial Models. Available from http://www. ercim. eu/publication/Ercim_News/enw38/palmgren. html. [09 May 2010]. Smith, T Frost,L. (2008). BAE Buys Tenix Defence to Double Sales in Australia. [Online] Available from http://www. bloomberg. com/apps/news? sid=aV7YIxXunPvspid=20601087 [09 May 2010]. Wachman, R. (2010). BAE Systems hit by defence cuts. Available from http://www. guardian. co. uk/business/2010/mar/22/bae-systems-defence-spending-cuts [09 May 2010]. West, K (2010). BAE goes top of the global arms league. [Online] Available from http://www. thisismoney. co. uk/news/article. html? in_article_id=502716in_page_id=2 [09 May 2010]. Appendices Appendix 1 Five year Summary Income Statement of BAE Systems. Source: retrieved 9 May 2010 Extract from Annual Report 2009 http://bae-systems-investor-relations-2009. production. investis. com/financial-information/five-year-summary. aspx Appendix 2 Group Income Statement. Source: Extract from Annual Report 2009 for the year ended 31 December. Retrieved 10 May 2010 http://bae-systems-investor-relations-2009. production. investis. com/financial-information/group-income-statement. aspx Notes 2009 ?m Total 2009 ?m 2008 ?m Total 2008 ?m Continuing operations Combined sales of Group and equity accounted investments 3 22,415 18,543 Less: share of sales of equity accounted investments 3 (2,041) (1,872) Revenue 3 20,374 16,671 Operating costs 4 (20,060) (15,386) Other income 5 465 415 Group operating profit excluding amortisation and impairment of intangible assets 2,038 2,003. Amortisation 11 (286) (247) Impairment 11 (973) (56) Group operating profit 779 1,700 Share of results of equity accounted investments excluding finance costs and taxation expense 233 132 Financial (expense)/income of equity accounted investments 6 (7) 44 Taxation expense of equity accounted investments (23) (37) Share of results of equity accounted investments 14 203 139 Goodwill impairment in respect of equity accounted investments 14 (121) Contribution from equity accounted investments 203 18 EBITA1 excluding non-recurring items 2,220 1,897 Profit on disposal of businesses2 9. 68 238 Pension curtailment gains2 261 Regulatory penalties3 (278) EBITA1 2,271 2,135 Amortisation (286) (247) Impairments (973) (177) Financial (expense)/income of equity accounted investments 6 (7) 44 Taxation expense of equity accounted investments (23) (37) Operating profit 3 982 1,718 Finance costs 6 Financial income 1,573 3,380 Financial expense (2,273) (2,727) (700) 653 Profit before taxation 282 2,371 Taxation expense 8 UK taxation (105) (351) Overseas taxation (222) (252) (327) (603) (Loss)/profit for the year (45) 1,768 Attributable to: BAE Systems shareholders (67) 1,745 Minority interests 22 23 (45) 1,768 (Loss)/earnings per share 10 Basic (loss)/earnings per share (1. 9)p 49. 6p Diluted (loss)/earnings per share (1. 9)p 49. 5p Appendix 3 Group Balance Sheet as at 31 December. Source: Extract from Annual Report 2009. Retrieved 10 May 2010 http://bae-systems-investor-relations-2009. production. investis. com/financial-information/balance-sheet. aspx Notes 2009 ?m 2008 Restated ?m Fixed assets Tangible assets 2 4 5 Investments in subsidiary undertakings 3 7,070 5,663 7,074 5,668 Current assets Debtors due within one year 4. 7,468 9,339 Debtors due after one year 4 14 3 Other financial assets due within one year 262 703 Other financial assets due after one year 5 179 478 Cash at bank and in hand 5 2,804 1,988 10,725 12,511 Liabilities falling due within one year Loans and overdrafts 6 (37) (49) Creditors 7 (14,490) (12,873) Other financial liabilities 5 (255) (598) (14,782) (13,520) Net current liabilities (4,057) (1,009) Total assets less current liabilities 3,017 4,659 Liabilities falling due after one year Loans 6 (233) (258) Creditors 7 (3) (6) Other financial liabilities 5 (327) (574). (563) (838) Provisions for liabilities and charges 8 (61) (120) (2,393) (3,701) Capital and reserves Issued share capital 10 90 90 Share premium account 12 1,243 1,238 Statutory reserve 13 202 202 Other reserves 12 119 164 Profit and loss account 12 739 2,007 Equity shareholders’ funds 2,393 3,701 Appendix 4 Group Cash Flow for the year ended 31 December. Source: Extract from Annual Report 2009. Retrieved 10 May 2010 http://bae-systems-investor-relations-2009. production. investis. com/financial-information/cash-flow. aspx Notes 2009 ?m 2008 ?m (Loss)/profit for the year (45) 1,768. Taxation expense 327 603 Share of results of equity accounted investments 14 (203) (139) Net finance costs 700 (653) Depreciation, amortisation and impairment 1,600 755 Gain on disposal of property, plant and equipment 4, 5 (17) (33) Gain on disposal of investment property 5 – (5) Gain on disposal of businesses 5 (68) (238) Cost of equity–settled employee share schemes 52 51 Movements in provisions 52 (115) Decrease in liabilities for retirement benefit obligations (657) (272) Decrease/(increase) in working capital: Inventories 6 46 Trade and other receivables 52 (5). Trade and other payables 433 246 Cash inflow from operating activities 2,232 2,009 Interest paid (250) (249) Interest element of finance lease rental payments (2) (5) Taxation paid (350) (261) Net cash inflow from operating activities 1,630 1,494 Dividends received from equity accounted investments 14 77 89 Interest received 66 156 Purchases of property, plant and equipment (483) (520) Purchases of intangible assets (42) (32) Proceeds from sale of property, plant and equipment 36 44 Proceeds from sale of investment property – 5 Purchase of subsidiary undertakings 27, 29 (357) (1,078). Cash and cash equivalents acquired with subsidiary undertakings 27 33 2 Purchase of equity accounted investments 27 (1) (12) Proceeds from sale of subsidiary undertakings 9 2 131 Cash and cash equivalents disposed of with subsidiary undertakings – (60) Proceeds from sale of equity accounted investments 9 70 16 Net proceeds from (purchase)/sale of other deposits/securities (209) 164 Net cash outflow from investing activities (808) (1,095) Capital element of finance lease rental payments (13) (18) Proceeds from issue of share capital 5 16 Purchase of own shares (25) (43) Equity dividends paid 28. (534) (478) Dividends paid to minority interests (5) (11) Cash inflow/(outflow) from matured derivative financial instruments 36 (440) Cash (outflow)/inflow from movement in cash collateral (11) 106 Cash inflow from loans 920 Cash outflow from repayment of loans (133) (306) Net cash inflow/(outflow) from financing activities 240 (1,174) Net increase/(decrease) in cash and cash equivalents 1,062 (775) Cash and cash equivalents at 1 January 2,605 3,046 Effect of foreign exchange rate changes on cash and cash equivalents 11 334 Cash and cash equivalents at 31 December 3,678 2,605.

Direct and iterative method

Direct and iterative method INTRODUCTION TO DIRECT AND ITERATIVE METHOD Many important practical problems give rise to systems of linear equations written as the matrix equation Ax = c, where A is a given n Ãâ€" nnonsingular matrix and c is an n-dimensional vector; the problem is to find an n-dimensional vector x satisfying equation . Such systems of linear equations arise mainly from discrete approximations of partial differential equations. To solve them, two types of methods are normally used: direct methods and iterative methods. Directapproximate the solution after a finite number of floating point operations. Since computer floating point operations can only be obtained to a given precision, the computed solution is usually different from the exact solution. When a square matrix A is large and sparse, solving Ax = c by direct methods can be impractical, and iterative methods become a viable alternative. Iterative methods, based on splitting A into A = M−N, compute successive approximations x(t) to obtain more accurate solutions to a linear system at each iteration step t. This process can be written in the form of the matrix equation x(t) = Gx(t−1) + g, where an n Ãâ€" n matrix G = M−1N is the iteration matrix. The iteration process is stopped when some predefined criterion is satisfied; the obtained vector x(t) is an approximation to the solution. Iterative methods of this form are called linear stationary iterative methods of the first degree. The method is of the first degree because x(t) depends explicitly only on x(t−1) and not on x(t−2), . . . , x(0). The method is linear because neither G nor g depends on x(t−1), and it is stationary because neither G nor g depends on t. In this book, we also consider linear stationary iterative methods of the second degree, represented by the matrix equation x(t) = Mx(t−1) − Nx(t−2) + h. HISTORY OF DIRECT AND ITERATIVE METHOD Ø Direct methods to solve linear systems Direct methods for solving the linear systems with the Gauss elimination method is given byCarl Friedrich Gauss (1777-1855). Thereafter the Choleski gives method for symmetric positive definite matrices. Ø Iterative methods for non-linear equations The Newton_Raphson method is an iterative method to solve nonlinear equations. The method is defined byIsaac Newton (1643-1727)andJoseph Raphson (1648-1715). Ø Iterative methods for linear equations The standard iterative methods, which are used are the Gauss-Jacobi and the Gauss-Seidel method.Carl Friedrich Gauss (1777-1855)is a very famous mathematician working on abstract and applied mathematics.Carl Gustav Jacob Jacobi (1804-1851)is well known for instance for the Jacobian the determinant of the matrix of partial derivatives. He has also done work on iterative methods leading to the Gauss-Jacobi method. Another iterative method is the Chebyshev method. This method is based on orthogonal polynomials bearing the name ofPafnuty Lvovich Chebyshev (1821-1894). The Gauss-Jacobi and Gauss-Seidel method use a very simple polynomial to approximate the solution. In the Chebyshev method an optimal polynomial is used. DIRECT AND ITERATIVE METHOD Direct methods compute the solution to a problem in a finite number of steps. These methods would give the precise answer if they were performed ininfinite precision arithmetic. Examples includeGaussian elimination, theQRfactorization method for solvingsystems of linear equations, and thesimplex methodoflinear programming. In contrast to direct methods,iterative methodsare not expected to terminate in a number of steps. Starting from an initial guess, iterative methods form successive approximations thatconvergeto the exact solution only in the limit. Aconvergence criterionis specified in order to decide when a sufficiently accurate solution has (hopefully) been found. Even using infinite precision arithmetic these methods would not reach the solution within a finite number of steps (in general). Examples includeNewtons method, thebisection method, andJacobi iteration. In computational matrix algebra, iterative methods are generally needed for large problems. Iterative methods are more common than direct methods in numerical analysis. Some methods are direct in principle but are usually used as though they were not, e.g.GMRESand theconjugate gradient method. For these methods the number of steps needed to obtain the exact solution is so large that an approximation is accepted in the same manner as for an iterative method. In the case of asystem of linear equations, the two main classes of iterative methods are thestationary iterative methods, and the more generalKrylov subspacemethods. Ø Stationary iterative methods Stationary iterative methods solve a linear system with anoperatorapproximating the original one; and based on a measurement of the error (the residual), form acorrection equationfor which this process is repeated. While these methods are simple to derive, implement, and analyse, convergence is only guaranteed for a limited class of matrices. Examples of stationary iterative methods are theJacobi method,Gauss–Seidel methodand theSuccessive over-relaxation method. Ø Krylov subspace methods Krylov subspacemethods form anorthogonal basisof the sequence of successive matrix powers times the initial residual (theKrylov sequence). The approximations to the solution are then formed by minimizing the residual over the subspace formed. The prototypical method is theconjugate gradient method(CG). Other methods are the generalized minimal residual method and the biconjugate gradient method EXAMPLE OF DIRECT METHOD GAUSS ELIMINATION METHOD :- Inlinear algebra,Gaussian eliminationmethod is analgorithmfor solvingsystems of linear equations, finding therankof amatrix, and calculating the inverse of aninvertible square matrix. Gaussian elimination is named after German mathematician and scientistCarl Friedrich Gauss. Elementary row operationsare used to reduce a matrix torow echelon form.Gauss–Jordan elimination, an extension of this algorithm, reduces the matrix further toreduced row echelon form. Gaussian elimination alone is sufficient for many applications. EXAMPLE Suppose that our goal is to find and describe the solution(s), if any, of the followingsystem of linear equations: The algorithm is as follows :eliminate x from all equations below L1 and then eliminate y from all equations below L2 .This will form a triangular form.Using the back substitution Each unknown can be solved . In the example, x is eliminated from l2 by adding 3/2L1to L2. X is then eliminatedmfrom L3 by adding L1 to L3 The result is: Nowyis eliminated fromL3by adding− 4L2toL3: The result is: This result is a system of linear equations in triangular form, and so the first part of the algorithm is complete.The second part, back-substitution, consists of solving for the unknowns in reverse order. It can be seen that Then,zcan be substituted intoL2, which can then be solved to obtain Next,zandycan be substituted intoL1, which can be solved to obtain The system is solved. Some systems cannot be reduced to triangular form, yet still have at least one valid solution: for example, ifyhad not occurred inL2andL3after the first step above, the algorithm would be unable to reduce the system to triangular form. However, it would still have reduced the system toechelon form. In this case, the system does not have a unique solution, as it contains at least onefree variable. The solution set can then be expressed parametrically . In practice, one does not usually deal with the systems in terms of equations but instead makes use of theaugmented matrix(which is also suitable for computer manipulations). The Gaussian Elimination algorithm applied to theaugmented matrixof the system above, beginning with:which, at the end of the first part of the algorithm That is, it is inrow echelon form. At the end of the algorithm, if theGauss–Jordan eliminationis applied: That is, it is inreduced row echelon form, or row canonical form. EXAMPLE OF ITERATIVE METHOD OF SOLUTION A. JACOB METHOD :- The Jacobi method is a method of solving amatrix equationon a matrix that has no zeros along its main diagonal (Bronshtein and Semendyayev 1997, p.892). Each diagonal element is solved for, and an approximate value taken in. The process is then iterated until it converges. This algorithm is a stripped-down version of theJacobi transformationmethod ofmatrix diagonalization. The Jacobi method is easily derived by examining each of the equations in thelinear system of equationsAx=b in isolation. If, in theith equation solve for the value ofwhile assuming the other entries ofremain fixed. This gives which is the Jacobi method. In this method, the order in which the equations are examined is irrelevant, since the Jacobi method treats them independently. The definition of the Jacobi method can be expressed withmatricesas B. Stationary Iterative Methods Iterative methods that can be expressed in the simple form Where neighter B nor c depend upon the iterative count k) are called stationary iterative method. The four main stationary iterative method : the Jacobi method, the Gauss Seidel method ,Successive Overrelaxation method and the symmetric Successive Overrelaxation method C. The Gauss-Seidel Method We are considering an iterative solution to the linear system where is ansparse matrix,xandbare vectors of lengthn, and we are solving forx. Iterative solvers are an alternative to direct methods that attempt to calculate an exact solution to the system of equations. Iterative methods attempt to find a solution to the system of linear equations by repeatedly solving the linear system using approximations to the vector. Iterations continue until the solution is within a predetermined acceptable bound on the error. Iterative methods for general matrices include the Gauss-Jacobi and Gauss-Seidel, while conjugate gradient methods exist for positive definite matrices. Use of iterative methods is the convergence of the technique. Gauss-Jacobi uses all values from the previous iteration, while Gauss-Seidel requires that the most recent values be used in calculations. The Gauss-Seidel method has better convergence than the Gauss-Jacobi method, although for dense matrices, the Gauss-Seidel method is sequential. The convergence of the iterative method must be examined for the application along with algorithm performance to ensure that a useful solution to can be found. The Gauss-Seidel method can be written as: where: ¯ is theunknown in during theiteration,and, is the initial guess for theunknown in, is the coefficient ofin therow andcolumn, is thevalue in. or where: ¯ K(k)is theiterative solution to is the initial guess atx Dis the diagonal ofA Lis the of strictly lower triangular portion ofA Uis the of strictly upper triangular portion ofA bis right-hand-side vector. EXAMPLE. 101−x2+ 23= 6, −x1+ 112−x3+ 34= 25, 21−x2+ 103−x4= − 11, 32−x3+ 84= 15. Solving forx1,x2,x3andx4gives: x1=x2/ 10 −x3/ 5 + 3 / 5, x2=x1/ 11 +x3/ 11 − 34/ 11 + 25 / 11, x3= −x1/ 5 +x2/ 10 +x4/ 10 − 11 / 10, x4= − 32/ 8 +x3/ 8 + 15 / 8 Suppose we choose(0,0,0,0)as the initial approximation, then the first approximate solution is given by x1= 3 / 5 = 0.6, x2= (3 / 5) / 11 + 25 / 11 = 3 / 55 + 25 / 11 = 2.3272, x3= − (3 / 5) / 5 + (2.3272) / 10 − 11 / 10 = − 3 / 25 + 0.23272 − 1.1 = − 0.9873, x4= − 3(2.3272) / 8 + ( − 0.9873) / 8 + 15 / 8 = 0.8789. x1 x2 x3 x4 0.6 2.32727 − 0.987273 0.878864 1.03018 2.03694 − 1.01446 0.984341 1.00659 2.00356 − 1.00253 0.998351 1.00086 2.0003 − 1.00031 0.99985 The exact solution of the system is (1,2,-1,1) APPLICATION OF DIRECT AND ITERATIVE METHOD OF SOLUTION FRACTIONAL SPLITING METHOD OF FIRST ORDER FOR LINEAR EQUATION First we describe the simplest operator-splitting, which is calledsequential operator-splitting, for the following linear system of ordinary differential equations:(3.1)where the initial condition is. The operators and are linear and bounded operators in a Banach space The sequential operator-splitting method is introduced as a method that solves two subproblems sequentially, where the different subproblems are connected via the initial conditions. This means that we replace the original problem with the subproblemswhere the splitting time-step is defined as. The approximated solution is. The replacement of the original problem with the subproblems usually results in an error, calledsplitting error. The splitting error of the sequential operator-splitting method can be derived as whereis the commutator ofAandB The splitting error iswhen the operatorsA andB do not commute, otherwise the method is exact. Hence the sequential operator-splitting is called thefirst-order splitting method. THE ITERATIVE SPLITING The following algorithm is based on the iteration with fixed splitting discretization step-size. On the time intervalwe solve the following subproblems consecutively for:(4.1)where is the known split approximation at the time level. We can generalize the iterative splitting method to a multi-iterative splitting method by introducing new splitting operators, for example, spatial operators. Then we obtain multi-indices to control the splitting process; each iterative splitting method can be solved independently, while connecting with further steps to the multi-splitting method

Romeo and Juliet by William Shakespeare :: Romeo and Juliet Essays

Romeo and Juliet by William Shakespeare In this course work I will be seeing how Shakespeare shows Romeo's change of mood in Act 5, Scene 1. I will include what Romeo says and does as well as the audience reaction. I will also talk about Romeo's character in this scene, his visit to the apothecary and what happened to Juliet. By the time this scene is performed, Romeo has been banished from Verona and Juliet. The scene starts with Romeo in Mantua, where he hears the news of Juliet's death. Before he hears the news he is reminiscing a dream he had had the night before (lines 1-11), "I dreamt my lady came and found me dead-Strange dream, that gives a dead man leave to thinkà ¢Ã¢â€š ¬Ã‚ ¦" When Balthasar enters, Romeo is very anxious to hear news from Verona and asks several questions. He even repeats himself, "How doth my lady? Is my father well? How doth my lady? That I ask again, for nothing can be ill if she be well." Unfortunately for Romeo, there is no good word from Verona, only bad, "Her Body sleeps in Capel's Monument.." In hearing this, Romeo becomes aggressive and emotional. He will not wait for anything or anyone to tell him what he should do now. He says, "Is it e'en so? Then I defy you, stars!" Romeo will not wait for the stars to dictate what he should do now. He acts in defiance. Shakespeare uses this line to represent fate or fortune. The audience reaction is not that of shock but of sadness and bereavement for Juliet. There is also a sense of pity for Romeo. Once Balthasar has left Romeo begins to talk to himself. He talks about an apothecary he had seen. He begins to describe it, "And in his needy shop, a tortoise hung, an alligator stuff'd, and other skins of ill shap'd fishesà ¢Ã¢â€š ¬Ã‚ ¦" The mood of the play changes instantly. It becomes dark and evil. Romeos emotions become very clear in line 50. He is deeply depressed and it is evident that he has given up on life, "An