Does Shakespeare successfully present Henry V Essay Example for Free

Does Shakespe are successfully present enthalpy V EssayMy commentary of a hero is somebody who is sincere and caring. They must be polite and well mannered. Some cardinal who is strong and has a strong exit in a tough situation. A person who is heroic, fearless, brave and courageous all rolled into one. A person who isnt afraid to say what they believe in. They must be sure-footed and determined to follow something through to the rattling end and to fight for what is theirs. A person who is a good speaker and can put their point crosswise to an earshot. They must be prepared to make sacrifices as part of their job.Although all of the above things are important attributes of a hero I think in that location are two more important attributes. The first is to be loyal. To be loyal to your friends, family and country. Without loyalty there can neer be trust. The second is the mightiness to change. To realise there is something wrong with you or your attitude and to do somethin g about it. Ely and Canterbury talk about one of these attributes in Act one Scene one of the play. The ability to change. Shakespeare writes about one of the main attributes of a hero in the precise first flick.When Canterbury looks back on the prospect of enthalpy being a King he says that, The courses of his youth promised it not. Canterbury believes this because as a youth, His companies unlettered, rude and shallow, His hours filled up with riots, banquets, sports, And never noted him both study. As atomic number 1 grows older though, never was such a sudden scholar made. Henry changes because he knew he had to. That takes determination and courage. No matter what anyone said he followed it through and did what he had to do.In the very first scene of the play Henry is already being talked about before we fox even met him. Shakespeare has done this because he is heavy(a) Henry a real heros entrance, just worry in any good film, he is telling the interview who he is and what he does. Canterbury and Ely are setting the scene and trying to make his entrance seem dramatic. Shakespeare does this to tell the interview that Henry is a well-known and well-talked about person. In other words Shakespeare is exhibit the audience that Henry is powerful.In Act one Scene two Henry is introduced to us for the first time. A first impression of him would be that he is very diplomatic and polite. Sure, we thank you. My learned lord, we pray you to proceed. Later on in the scene though, when the French challenge him he does not turn it down. Henry is excogitate whether to stake a claim to the French throne. When he is sent a mocking gift of, Tennis balls, my liege. He arranges on his instincts and declares war on France. This is very brave because it leaves him open to criticism and it could turn out to be the wrong decision.In Act two Scene two Henry finds out that triple of his lords, and friends, are traitors. He is upset by this, What shall I say to thee, Lord Scroop, thou cruel, Ingrateful, savage and inhuman creature? Although they are his friends he knows that he must, entertain them to answer to the law. They are his friends but like any hero he must make sacrifices. Being a hero isnt just about engagement or being brave its also about thinking about and helping others. In Act three Scene one Shakespeare shows Henry giving a go speech to his soldiers outside the walls of Harfleur.Once more unto the breach, dear friends On, on you noble English Be copy now to men of grosser line of merchandise, And see them how to war Cry God for Harry, England and Saint George Henry just doesnt go into battle and expect everybody to win. He knows how they must be feeling and he tries to march on them. Henry also demonstrates that he is leaveing to do everything that his job entails. Shakespeare shows the audience another heroic quality by, instead of sending one of Henrys soldiers to do something for him, he writes it so that Henry doe s it himself.This is shown in Act three Scene four when he says, How yet resolves the governor of the town? This is the latest parle we will admit, Therefore to our outflank mercy give yourselves. Henrys strong words push the Governor of Harfleur to give in. As soon as Henry and his army are let into Harfleur he is showing good initiative by already thinking about the next stage, Upon the soldiers, we will retire to Calais. Shakespeare shows the audience again of Henrys heroism by showing us he can be polite and that he has good manners. How now, Llewellyn? Camest thou from the bridge? Although Henry is like a friend to his soldiers, just like a hero Shakespeare shows us that Henry must face up to his responsibilities. Bardolph has been caught stealing and he says, We would have all such moroseenders so cut off in our marches through the country there be nothing compelled from the villages. Even though things arent going as well as they should be Henry doesnt give up. In respon se to Montjoys offer for him to name his ransom he says, My army but a weak and sickly guard. Yet, God before, tell him we will come on Through France himself and such another neighbour stand in our way. Yet again in this extract of a speech Henry shows his strong beliefs in God. All of the above quotations came from Act three scene seven. Shakespeare makes the play very dramatic by using a chorus at the beginning of every act. These are very effective because it gives the audience a taster of what is going to happen but not enough to explain the act fully. This means that the audience want to know what is going to happen and when something does happen it makes it all the more dramatic. In Act four Scene one Shakespeare presents us the audience, with Henrys many heroic qualities.Not showing any signs of worry or weariness he tries his best to raise the morale of his soldiers. There is some someone of goodness in things evil For our bad neighbour makes us early stirrers, Which is both healthful and good husbandry. Henry also shows us like any hero or any person that he has feelings. He borrows a cloak and walks around the camp asking mass what they think of him. King and then you are a better man than the king. Pistol the kings a bawock and a heart of gold, a lad of life, an imp of fame, of parents good, of fist most valiant. Later on in an argument (while in disguise) with Bates Henry stresses, I think the king is but a man as I am. The violet smells to him as it doth to me. Shakespeare shows the audience that Henry has a different side to his personality, he is caring and understanding. Rather proclaim it, Westmorland, though my host That he which hath no stomach to this fight allow him depart. He then shows us that he isnt just all talk and that he is brave by saying, We few, we happy few, we band of brothers-For he to daylight that sheds his blood with me Shall be my brother. Henry again refers back to his belief in God by saying, Take it, brave York. Now soldiers, march away, And how Thou pleasest, God, dispose the day. He shows us this in Act four Scene three. You know when someone is a real hero because another person compares him or her to an already known hero. Shakespeare does this in Act four Scene seven when Llewellyn compares Henry to Alexander, If you mark Alexanders life well, Harry of Monmouths life is come after it in hazard well. Later on Henry shows again that he does have feelings.All of the boys guarding the luggage have been killed, I was not angry since I came to France Until this instant. When Henry knows that they have won the battle he is not boastful this is another great attribute of a hero shown very clearly to the audience by Shakespeare. kind of he says, Praised be God, and not our strength, for it. He then shows that he is not afraid to show everybody his roots. I wear it for a memorable honour, For I am Welsh, you know, good countryman. Even though he is enjoying the moment of taking h e has to get on with his job, Bring me just notice of the numbers dead On both our parts. Once again Henry refers to God, To boast of this, or to take that praise from God, Which is His only but with this acknowledgement, That God fought for us. During the battle Shakespeare uses another dramatic whatchamacallum by using very short scenes whilst everyone is fighting. This means that everything is constantly changing and the audience doesnt know what is going to happen next. It also builds up tension because Shakespeare is moving from one camp to the next. One minute you are in the French camp then the next you are in the English camp.After winning the battle Henry has to get back to his duties as king. Shakespeare shows the audience this side of Henry to show us that he is not just wrapped up in the glory of winning, he instead shows us that he is a true hero and still will face up to his responsibilities. Peace to this meeting, wherefor we are met. He then shows that a hero is j ust like any other man by trying to court the French kings daughter, Katherine. Fair Katherine if you will love me soundly with your French heart I will be glad to hear you confess it brokenly with your English tongueAn angel is like you And therefore tell me, most fair Katherine, will you have me? After agreeing the peace treaty Henry says, prepare we for our marriage The above quotations were taken from Act basketball team Scene Two. Overall I think Shakespeare has been very successful in presenting Henry as a hero. He is everything a hero could be. He has shown the audience that a hero could be sitting amongst them, that a hero is just an ordinary man or woman. The audience can relate to this because one day they themselves know that they could be a hero.I also think that the play was more effective in Elizabethan times than it is now. This is because when Shakespeare wrote this particular play cigaret Elizabeth was coming to the end of a very successful rein and she had no one to succeed her. The Elizabethan community were very worried that there wouldnt be anybody as good to take over, especially not a man. Shakespeare then wrote this play showing a truly heroic, male King. This raised the hopes of the Elizabethan people and made the play much more effective and much more popular.

Causes and Effects of Climate Change Essay

Causes and Effects of clime Change EssayThe ball humours nowadays is changing very rapidly and differently. Besides that, the climate tag on overs in our earth ar bear on our lives psychologically, physically and emotionally. What is climate change? Climate change is the seasonal changes for a long period of time in the world. These climate patterns play an cardinal role in shaping natural ecosystems, and the kind economies and cultures that depend on them. For example, the changes in climate can affect how people, plants and animal live, such as pabulum production and wellness risks. As the earths climate is dynamic and always changing through a natural cycle, the world is now worried about the changes that occurring now have been speeding up and seriously affecting humans lives. All across the world, people are taking action to prevent climate change. For example, in 2007, scientists from the International Panel on Climate Change (IPCC) predicted that warming maritimei cs and melting glaciers due to global warming and climate change could cause sea levels to bristle 7-23 inches by the year 2100. So, some islands and some small countries result be flooded by the sea water and even disappeared very soon. Because of this, we must sign up action as soon as possible to judge to do work this problem or to prevent the more serious of climate changes occur. Im interested in this topic because the climate changes in our country or this world are too serious and its interesting to discuss and try to fix the problem. However, what are the causes and effectuate of climate changes that affecting our lives and environment?There are two main causes of climate changes natural causes and human activities. Natural causes have influenced the earths climates such as volcanic eruptions, ocean current, the earths orbital changes and solar variations. The eruptions of volcanoes cause a cooling effect on the earth. When a volcano erupts it throws out large volumes of sulphur dioxide (SO2), water vapour, dust, and ash tree into the atmosphere. The volcano eruptions testament affect the climatic pattern for years although the eruptions occur in a few days. The sulphur dioxide gas will reach the hurrying level of the atmosphere. The tiny particles, dusts and ashes will block the incoming sun rays and this will leads to cooling at the atmosphere. This is because the bouncing of sunlight to the space is cooling the atmosphere of the earth.Furthermore, ocean current is one of the natural cause that affecting climate changes. The ocean is the major component of the climate system. The oceans cover about 71% of the earth and scoop about twice as much of the suns radiation as the atmosphere or the land surface. Winds push horizontally against the sea surface and drive ocean current patterns. Besides that, the oceans also play an important role of the concentration of carbon dioxide. The changes in ocean circulation will affect the climate through the consummation of carbon dioxide into or out of the atmosphere. Moreover, another cause that affects climate changes is the earths orbital changes. The earth makes one full orbit around the sun every year. If there is no tilt we will not experience seasons. Changes in the tilt of the earth can affect the severity of the seasons. For example, if there is more tilt content we will experience warmer summers and colder winters and if there is less tilt means we will experience cooler summers and milder winters.Another main cause that leads to climate changes is human activities. From the 19th century, the Industrial Revolution saw the large-scale use of fossil fuels for industrial activities. Therefore, they created m whatsoever jobs for the people. And many people moved from rural areas to cities. Many phytology areas were cleared to become houses or factories for industries. Natural resources are being used extensively for construction, industries, transport, and consumption. Al l this has contri simplyed to the rises of greenhouse gases such as methane and nitrous oxide in the atmosphere. human race is generating industries factories and houses, and running the vehicles that used many fossil fuels such as coal, oil and natural gases. These uses of fossil fuel will leads to climate changes. Global climate change is caused by the fertiliser that used for agricultures. The result of microbial action in the soil, these chemical will release nitrous oxide. Besides that, the emission of methane and carbon dioxide will also affect climate changes. In addition, the increasing of agriculture is also caused by the increasing of human population in the world.All the causes are bragging(a) a great impact for climate changes in our earth. What are the consequences of these causes for the climate changes to our world? We can call that there are three main cause on climate changes in our environment. Firstly, climate change in the world will affects human health. The re are so many past researches showed that climate change will leads to human health and producing diseases. For example, in the research paper by Healey et al., 2010 that I have read said that the climate change is affecting the health of northern people such as Nunavut, Canada. Besides that, Cecchi et al. (2010) have conducted the research on the effects of climate change on allergic asthma. Moreover, Mickley, 2007 say that high levels of surface ozone and particles have been implicated in many diseases involving the cardiac and respiratory systems. These researches showed that the climate changes are seriously affecting the humans health.Secondly, climate changes will also affect the biodiversity. Biodiversity is very important for the plants and animals to maintain their habitat and ecosystem. The climate changes have impacted the loss of biodiversity. For example, the water sources may change, the food chain may destroy and the medicine sources may change. In addition, the ma rine ecosystem will be affected not only by an increase in sea temperature but also ocean acidification, which increases the vulnerability of fragile ecosystems such as coral reefs.Furthermore, climate changes also will affect humans mind and behaviour psychologically. Climate changes will affect humans behaviour such as consumption, energy use and population growth. Besides that, climate changes also impact psychosocial and mental health including stress, guilty, anxiety to adapt and cope with the forward-looking changing weathers. The climate changes will cause the increase of social disorder such as post traumatic disorder, suicide, stress, abuse, violence and anxiety. Therefore, climate changes will be giving a great impact on the humans psychological lives.DiscussionAs we can see how the causes and effects of climate changes that occur in our world and this topic was concerned by the worldwide. So, what are the solutions and method that we can prevent climate changes or solve the problems that we are having now? Actually there are some solutions that our government, community and society can do. Firstly, the government can help the communities and businesses to reduce deforestation, plant new trees in the forest and empty land, earn sustainable livelihoods and adapt to changing climatic conditions. Next, teachers in lecturers in schools and colleges must support the knowledge of how to protect our earth from the very young age of the children and students. One of the reasons that caused the climate changes is the emission of carbon dioxide from the vehicles. Therefore, we can reduce the uses of vehicles and car-pooling in our daily lives. Besides that, at home, we can switch our light bulbs to energy efficient bulbs and turn off the light when we are not using it or after using it.ConclusionAs a conclusion, we can see there are many effects of climate changes that seriously affecting our environment, health and biodiversities. If we still have not take any actions to prevent the climate changes, our mother earth will be become sick more seriously. Furthermore, when the deforestation continuing occurs, there will be having many different consequences to our environment. Climate changes will also leads to psychological problem such as post traumatic disorder, stress, anxiety and violence among the communities. So, to protect our environment and give our next generation to have a better place to stay, we must always know how to prevent the climate changes such as stop pillowcase off the trees, save energy, car-pooling, etc. Therefore, let us together to protect and love our beautiful mother earth that given by God and try to keep her healthy as long as we can.

The Metallurgy Options for Tubing

The Metallurgy Options for TubingThe metallurgy of tubing is a very important factor while choosing tubing for a particular purlieu. Generally the tubing is made up of carbon or pitiable alloy brand names, martensitic stainless steel, semidetached house stainless steel or other corrosion resistant alloys like Nickel-base alloy etc.METALLURGY FOR TUBINGCarbon steel is an alloy of carbon and iron containing up to 2% carbon and up to 1.65% manganese and residual quantities of other elements.Steels with a tot alloying element content of less than about 5% but more than specified for carbon steel atomic number 18 jut outated as low alloy steel.Carbon steel is the close to common alloy used in oil industry be father of its relatively low cost.Though corrosion resistance of these steels is limited still they be possessed of been used in oil industry since long satisfactorily. They are suitable for mildly corrosive environments like low partial pressure of carbon dioxide low part ial pressure of H2S.A material selected for a particular environment may non remain suitable in the case the environmental conditions change.CO2 smoke cause extreme weight loss corrosion localized corrosion, H2S can cause sulphide direction cracking and corrosion. Chlorides at noble temperature can cause song corrosion cracking and pitting of metals, while low pH in general increases corrosion rate.For example the following material are considered to be resistant to sulphide stress cracking Low and medium alloy carbon, containing less than 1% nickel.AISI 300 series stainless steels (Austenitic) that is fully annealed and free of dust-covered work.The following materials have been found to have little or no resistance to sulphide stress crackingAISI Grades 420 and 13% Cr martensitic stainless steel. either cold finished steels including low and medium alloy steels, many variety of stainless steel.The limitations of Carbon steel, 9-Cr-1 Mo, 13-Cr, Duplex stainless steel are enc ountered in variant environments and downhole operations.METALLURGY OPTIONS FOR TUBINGThe various metallurgical options examined for tubing and other downhole equipment are Carbon Low Alloy Steels, 9 Cr-1Mo steel, 13% Cr stainless steel, Duplex blameless steel and nickel based alloys. A brief of the suitability and limitations of these materials in various environments encountered in oil and gas wells9Cr-1Mo steel.This steel is immune to stress corrosion cracking in the heraldic bearing of chlorides like other nickel free low alloy steels. Corrosion resistance of this steel in the presence of H2S is poor. Hence it is not used in tubing metallurgy commonly.13Cr Stainless steel.This steel can be used upto 100 atms CO2 partial pressure and upto cl degree Celsius temperature with chloride upto 50 gms/L. This martensitic grade is known to be susceptible to sulphide stress cracking in sour environment.This material is generally used for tasty wells where minimum souring is expected.D uplex Stainless Steel.Duplex SS has excellent corrosion resistance in CO2 environment. The limitation of their usage is their susceptibility to stress corrosion cracking at high temperature and limited resistance to sulphide stress cracking, when H2S is present in the produced fluid.Nickel Based Alloys.Nickel based alloys are required to be used in extremely corrosive conditions involving very high partial pressure of H2S and CO2 along with presence of free sec or oxygen.SELECTION OF TUBING METALLURGYFrom the various metallurgical options I have analyzed, it can be concluded that low alloy carbon steel is not suitable for the wells where high corrosion risk involved, particularly in offshore. If low allow materials were to be used, an intensive corrosion inhibitor treatment program is essential. However, heretofore with the best of programs, the solution to the problem would be trial and error.Although 9Cr-1 Mo steels are resistant to CO2 attack, they should not be considered for this application since their application in chloride environment is limited up to 10 gms/l (1%).With the high concentrations of chlorides coupled with the high well bore temperature this material is not suitable for downhole use in these wells.Duplex stainless steel is susceptible to chloride stress cracking and should not be used with the CaCl2 packer fluid. Also, the price for Duplex material is three to four generation the cost of 13 Cr SS material, which would make it economically unacceptable.Hence, in spite of the additional up-front cost for tubing , it is recommended that based on the caliper survey results , high corrosion risk wells of field should be re-completed with 13% Cr SS L-80 tubing material.PROBLEMS OBSERVEDThe occurrence of metal loss corrosion in air is caused by the presence of corrodents in the produced water. Internal corrosion in pipeline can be caused by the presence of mill scale, slag inclusions, improper combust treatment, improper welding, besides h igh or too low velocity etc. The erosion/corrosion effect can be caused by too high fluid velocity. Water and sludge build develop with too low fluid velocity that may cause pitting and bacteria infestations. At low fluid velocity, water will tend to segregate to the bottom of the pipeline. Once the pipeline is water wetted, the corrosion begins. When corrosion is not controlled, time to first gear failure due to corrosion will be normally from three to twelve years depending on the wall thickness and operating conditions.Corrosion of most material is inevitable and can seldom be completely eliminated. But it can be controlled by carefully selecting material and protection methods at the design stage. For example, as carbon steel is less resistance to corrosion allowance is given in addition to the design thickness when they are expected to mete out moderately corrosive fluid. Similarly, external surface of the pipeline are protected from corrosive soils by providing protective co atings. Still, there is always unexpected failure which results from integrity or more of the following reasons Poor choice of material.Defective fabrication.Improper design.Inadequate protection/maintenance.Defective material.CONCLUSIONCorrosion due to presence of CO2 gas along with unfavorable water chemistry is the cause of the piping failures.It is recommended that tubing metallurgy shall be of L-80 13 Cr stainless steel with premium joints.The downhole metallurgy shall be 13 Cr SS.These elastomeric materials includeNitrileA rubber compound with base material as Butadiene Acrylonitrile.VitonA fluoroelastomer fabricate by Dupont.FluorelA fluoroelastomer manufactured by 3M company.RytonA polyphenylene sulfide manufactured by Philips Petroleum Company.REFERENCESEffect of microstructure Cr content in steel on CO2 corrsion. By Masakatsu Veda, Aki Ikeda, Japan. prediction of the risks of CO2 corrosion in oil and gas wells. By Jl Crolet, Mr Bonis.CO2 corrosion in oil wells. By Gunal ton , Zadko.

Geometrical Application Of Ordinary Differential Equation

Geometrical Application Of Ordinary Differential EquationMany practical problems in science and engineering ar stockulated by purpose how one quantity is related to, or depends upon, one or more (other) quantities defined In the problem. Often, it is easier to model a relation between the rates of changes in the variable rather than between the variables themselves. This study of this relationship gives rise to derived function comparability. Derivatives freighter always be interpreted as rate. For example, if x is a mold of t then dx/dt is the rate of x with respect to t. if x denotes the displacement of a division, then dx/dt represents the velocity of the particle. If x represents the electric charge then dx/dt represents the run away of charge that is the current. Derivatives of higher orders represents rate of rates. If x denotes the displacement of particle, then d2x/dt2 represents the accelerations.A derived function comparability can be defined as an comparison co ntaining derivative instruments of unlike orders and variables .differential equation which involves one in drug-addicted variable ar called ordinary differential equation. If the differential equation involves more than one independent variable and uncomplete derivatives of the dependent variable with respect to them, than it is called partial differential equation.Explanation- Let y be the dependent variable and x be the independent variable. So the administration can be denoted asdy/dx= y , d2y/dx2=ySome Example of Ordinary Differential equationy=62y+16y =2xx2y-xy+6y= pound xyy+ y2 = x2Introduction to differential equation, and solving additive differential equations using operator rule-In this Term paper, I result first recruit what differential equation is? Separable first order differential equation will be cultivated. Then the integrating factor will be taught to solve linear differential equation of the first degree. The auxiliary equation (or characteristic equati on) will be introduced to solve homogeneous linear equations, and then operator method will be taught finally to solve non-homogeneous linear equations.This term paper assumes readers familiar with basic of calculus, like differentiation and integration.What is differential equation?A differential equation is an equation which contains derivatives. Here are some examplesIn these equations, y is an unknown function depends on x which we would like to solve. These kind of equations are very important in different fields, like in chemistry describing rate of reaction, physics describing equation of motion, etc. Therefore, able to solve these equations analytically enables us to attend many natural process. The above equations are known as ordinary differential equations(ODE) since they only contain derivatives with respect to one variable, x. (note that the equations hold for all qualify of x)In mathematics, an ordinary differential equation (or ODE) is a relation that contains fun ctions of only one independent variable, and one or more of their derivatives with respect to that variable.A bare(a) example is Newtons bet on law of motion, which leads to the differential equationfor the motion of a particle of ceaseless mass m. In general, the force F depends upon the position x(t) of the particle at time t, and thus the unknown function x(t) appears on both sides of the differential equation, as is indicated in the notation F(x(t)).Ordinary differential equations are deluxe from partial differential equations, which involve partial derivatives of functions of several variables.Ordinary differential equations arise in many different contexts including geometry, mechanics, astronomy and population modelling. Many celebrated mathematicians down studied differential equations and contributed to the field, including Newton, Leibniz, the Bernoulli family, Riccati, Clairaut, dAlembert and Euler.Much study has been devoted to the origin of ordinary differential equations. In the cause where the equation is linear, it can be puzzle out by analytical methods. Unfortunately, most of the interesting differential equations are non-linear and, with a few exceptions, cannot be solved exactly. Approximate solutions are arrived at using electronic computer approximations.The trajectory of a projectile launched from a cannon follows a curve determined by an ordinary differential equation that is derived from Newtons second law.Ordinary differential equationLet y be an unknown functionin x with y(n) the nth derivative of y, and let F be a effrontery functionthen an equation of the formis called an ordinary differential equation (ODE) of order n. If y is an unknown vector valued function,it is called a governance of ordinary differential equations of dimension m (in this case, F mn+1 m).More generally, an implicit ordinary differential equation of order n has the formwhere F n+2 depends on y(n). To distinguish the above case from this one, an equation of the formis called an explicit differential equation.A differential equation not depending on x is called autonomous.A differential equation is said to be linear if F can be written as a linear combination of the derivatives of y together with a constant term, all possibly depending on xwith ai(x) and r(x) continuous functions in x. The function r(x) is called the source term if r(x)=0 then the linear differential equation is called homogeneous, otherwise it is called non-homogeneous or inhomogeneous.SolutionsGiven a differential equationa function u I R R is called the solution or integral curve for F, if u is n-times differentiable on I, andGiven two solutions u J R R and v I R R, u is called an extension of v if I J andA solution which has no extension is called a global solution.Terminology partial differential equationsThese are equations which involves more than one independent variable. For instancePartial differential equations(PDE) are significantly more d ifficult than ODE, and we wont talk somewhat it at this moment.OrderOrder of a differential equations is the order of the highest derivative in the equation.Order 1 Order 2 DegreeThe degree of a differential equation is the degree of the highest derivative in the equation.Degree 1 Degree 2 Separable 1st order ODEIf the ODE is in the following form, the solution can be found using integration easilyExample-In the study of partial differentiation, recall that a function of two variables that equals a constant, describes the points in the three-D plane with the same potential . The curves that connect the points with the same potential are called level curves and have the value of c. A contour office is a level curve graph where common elevations are connected giving a 2-D representation of a 3-D reality.Using a LiveMath 3-D graph theory you can plot such a function along with the level curves describing the contours associated with that function. The picture under uses the followin g function to demonstrate this (here is a LiveMath plug-in animation of the graph beneath).In general terms, this type of equation is represented by the followingIt describes the level curves and is the solution to the following differential equation. The equation below is just the total derivative of the function above.Because it is the total derivative of some function z(x,y) it is called an Exact Differential Equation.To help understand how to solve these types of equations you will timber at the solution first and then lose it how to back into that solution.In this example you will affect the total derivative of a function and analyze its parts. Then you will take this new equation (a differential equation now) and, knowing the answer, describe the method used to solve it.Input the following equationTo take a total derivative in LiveMath, first input the differential operator d times z (d*z). Input this into a second Prop and substitute the equation into it.Collect common te rms on the RHS and Expand the coefficients of the differentials for the final answer.After setting the RHS equal to zero you will have a differential equation to solve. Notice how the coefficients are neither separable, homogeneous, nor are they linear.To help analyze this equation, label the coefficient of dx as M and the coefficient of dy as N. some(prenominal) are functions of x and y so place the equation in the following form.The total derivative of a function is obtained by adding the partial derivatives of the coefficients. This is through with(p) with the equation below.Set up our notebook in the following mannerPerform the substitutions to give the partial derivatives.we can see that differential equations of this type are Exact. They are immediate derivatives of another function. You know this is true in this example because you developed the equation below by taking the derivative of the original function.we can describe an Exact Differential Equation as an equation who se dx coefficient is the partial derivative with respect to x of some function f(x,y) and whose dy coefficient is the partial derivative with respect to y of the SAME function. Since you dry-labed the last example you know what this equation, z=f(x,y), is. This will not be the case as you look to solve these problems though, so you need to find a way of determining that an equation is exact, then you will know that M and N are related to the solution equation in this wayUsing the fact that these partial derivatives are of the same function will be the key to the method used to solve these equations. To analyze a differential equation for exactness, follow the method described in the next example.Test for ExactnessThis example demonstrates the test for exactness of the same equation used in the previous example. First input the differential equation as shown below. Remember to include an Independence Declaration inside the same case theory the test is performed.To test for exactness , equate the partial derivative with respect to y of M and the partial derivative with respect to x of N. Notice that these partials are with respect to the exact opposite variables as those used to determine the total derivative in the last example. The reason for this will become clear to you posterior when you derive this test.Set up the partial derivatives and solve by substituting M and N into the partial derivative Ops.The fact that they are equal marrow that the differential equation is exactMethod of SolutionTo solve these types of equations you will need to take one or the other coefficient and go backwards to determine the solution. You can take either M or N to do this, it is up to you. For this example try using M.Solution MethodFirst, set up an equation equating the unknown function, named , to an integral of M plus some unknown function of y. Call this function u for the time being. The reason you do this is the fact that to get M, the partial derivative was taken of the unknown function with respect to x. You will try to back into the answer by integrating M. This is not automatic though, because of the fact that when a partial derivative is performed, one of the variables is treated as a constant and therefore drops out (the derivative of a constant is = 0). Below this derivative is displayed again.We will not get back the function by integrating M, because the y term is not there It is the constant, as is shown below where you try to get the function back by integrating M.This is very close to the answer, and with a little twist, will lead to a method that you will use to obtain the solution.Input the following props and perform the substitutions as shown. The user defined variable u is used in this case, rather than the imperious constant c, because you are actually looking for, what you might call, an arbitrary function. It will also be necessary later to have u defined as a variable for LiveMath to solve for the function.Now we have a po tential function (), that represents the solution to the problem. To solve, the function u must be determined. If you take the partial derivative of the unknown function with respect to y this time, you will get N. By setting up the equation this way, you can then isolate u.You already know what N is, soNext substitute the potential function into the Prop and solve for u by performing an integration.The final solution is achieved by substituting this u Prop back into the function . Since this function describes level curves, it is set equal to a constant c.The question remains, why do you take partial derivatives of M and N to determine if an equation is exact? M and N have been defined as the partial derivatives of z with respect to x and y respectively.By taking the second partial derivative of each coefficient WITH RESPECT TO THE OPPOSITE VARIABLE, the LHS of both of these equations is equal and therefore the RHS are equal too.

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People relate to landscapes through tactile and ocular experience of surfaces around them, beneath their feet and in their hands. Textures are most immediate and close natural contact with the landscape. Ploughing, grazing, clearance create distinctive textures of surface, some of them deliberately created for the properties of the texture itself. Textures incorporate time they are result of a slow but never-ending change of the very texture of surface. Mundane practices which might have a minimum impact on the surface can in a farsighted term combine to form a distinctive textures. Aerial photographs and high resolution topographic data is full of textures. We tend to ignore them and focus completely on features, traces. What can we do with textures? How can they be harnessed for deciphering the biography of surfaces and the way people interacted with the land in close physical contact?In the modern, Western, world the visual sense has primacy over the other senses. Since si xteenth century, vision has become increasingly important in how we engage with and understand our world, with the other senses marginalised. The visual became considered the most reliable form of representation. Archaeology, and especially aerial archaeology, has come to rely almost solely on vision for both the collection of data and the spread of information.Visual sense turns us into spectators, detached and distanced from the object of study. Landscape becomes a particular way of seeing and representing the world from an elevated, detached and even objective reward point, --- as an artistic genre and a culturally conditioned habit of visual perception, unique to European, Western societies.In this way visual technologies (photographs,... ...worth exploring. Textures offer doorway into the richness and immediacy of the perceivable world and allow us to enmesh with it. When we turn the eye in the organ of touch, we are able to see the pierce of landscape rather than its things. It is highly subjective, embodied view of the world, but one that helps us to understands materiality of the landscape.Dwelling in the landscape is about the rich intimate, on-going togetherness of beings and things which make up textures and which, over time, bind together nature and culture. Textures blur the nature/culture divide and emphasise the material and temporal nature of landscape. In this way, landscape is a never finished process of weaving, entanglement, of materials and activities. And they can perhaps to help us to reflect what we really see when we interpret aerophotos and lidar imagery.

Cotton: The Fabric of Our Lives :: Botany

cotton The Fabric of Our LivesOils, balls, swabs, bandages, tissue, paper, napkins, diapers, socks, underwear, shirts, terses, sweaters, pants, coats, towels, linen, cushions, drapery, upholstery, rugs, carpet, comforters, mattresses, insulation, filtration, and many other things that are used daily by everyone are peaceful of, or inspi blushing(a) by cotton. Cotton is a soft, fluffy, ingrainedly occurring fictitious character plant that can be processed into an array of materials and goods. Many, many things that we wear, relaxation on, sleep under, walk on, or utilize in wound-care, etc., contain some percentage of cotton. It is a fiber that is used everyday, by everyone, in one way or another. It has qualities that have made it a choice crop for centuries around the world. Today though, cotton is being largely displaced by synthetic fibers that have qualities that exceed the natural crop plant. These fibers can also be mass-produced and sold at relatively lower costs. Still, cotton stands alone as the most utilized fiber crop plant used around the world. Also known as King Cotton, in the United States, it was the major force behind the institution of the American age of slavery, and cotton prevailed as the economic source for the southern states of the United States and its antebellum prosperity before the civil war. It holds an important place in Americas past, present, and future. Cotton is truly the Fabric of Our Lives. Characteristics Cotton is an annual, biennial or perennial plant, but in cultivation it is generally treated as an annual herbaceous to short shrub or small tree - two to six feet tall. It consist of a primary axis, erect and branched with a vegetative lower regularise having monopodial branches, and a fruiting upper zone with sympodial branches. The leaves of the cotton plant alternate, cordate petiolate, three to nine lobed and palmately veined, with varying size, texture, shape and hairiness. The large, showy, cream yellow, red o r purple flowers are extra axillary, terminal, solitary, and borne on sympodial branches. The calyx (= collectively the sepals) consists of a very short cup-shaped structure at the base of the corolla. The five petals of the corolla are any free or slightly united at the base of the convoluted bud (Sundararaj, 1974). Cotton belongs to Gossypium, a genus named by Linnaeus in the middle of the 18th century. The genus has been separate in both the Malvaceae or mallow family and the Bombacaceae families and in both the Hibsceae and Gossypieae tribes.

The Role of Chance in William Shakespeares Romeo and Juliet :: Romeo and Juliet Essays

The Role of Chance in Romeo and Juliet         In William Shakespe bes classic Elizabethan Tragedy Romeo & Juliet we are asked to determine what events in the story are chance, coincidence or fate.  Although some scholars are persuaded to relate as to how chance and coincidence are tools of fate, I line up as though everything is either chance or coincidence.  If everything was controlled by fate then life would be pointless.  We would have no decisions to make, it would all be predetermined.  That is wherefore I dont believe in fate, and so, naturally I have determined that Romeo & Juliet is not controlled by fate.  I was also told that people in the put East believe in fate full out.  So much that they travel at crazy speeds in their cars around corners without thinking twice.  They believe that if on that point is a car around that corner, then it was fated to happen and they would still die if they were going the speed limit.  I believe that Romeo & Juliet dug thither own holes with bad decisions.         Chance plays a major part in the story.  Everything starts in the very beginning when Montegue and Capulet servants just happen to cross paths in a public place.  This is a chance meeting.  Coincidence cannot be involved now because it is too early in the story.  Also by chance, the servants are talking of their detestation of the other family and there unwillingness to bear insults.  The opening line of the play is, Gregory, on my word, well not carry coals. (pg.6)  Meaning he will not radical for any insults.  This results in the fight that forces Prince Escalus to make the decree that If ever you disturb our streets again your lives shall pay the forfeit of the peace. (pg.14)  He is saying that the side by side(p) person who starts a fight will be executed.  This decree results in Romeos banishment, and his banishment is the reason for Juliet faking her death, which caused both of them to die.  Another act of chance is when Romeo climbs over the Capulet houses wall right next to Juliets room.         The very first coincidental event is on page 4, before the actual play begins, it is that the Montagues and Capulets are fighting.