Laplace transforms

Laplace transforms Laplace Transforms – Motivation convenience – differential eqns become algebraic eqns. – easy to handle time delays – frequency response analysis to determine how the system responds to oscillating inputs Block Diagram Algebra – doing math with pictures – arithmetic for manipulating dynamic components using boxes and arrows Laplace Transform – Review Given a function f(t) Notes f(t) defined for t from 0 to infinity f(t) suitably â€Å"well-behaved† – piecewise continuous, integrable Linearity of Laplace Transforms the Laplace transform is a linear operation we will use Laplace transforms to analyze linear dynamic systems if our models arent linear, then we will linearize Useful Laplace Transforms for Process Control We need a small library of Laplace transforms for – differentiation – step input – pulse/impulse functions – exponentials – oscillating functions because these are common functions that we will encounter in our equations Lets think about a simple linear differential equation example: with V and F as constants Library of Useful Transforms differentiation – initial conditions disappear if we use deviation variables that are zero at an in initial steady state unit step function (Heaviside fn.) Library of Transforms exponential – exponentials appear in solutions of differential equations  » a provides information about the speed of the response when the input changes. If a is a large negative number, the exponential decays to zero quickly  » What happens if a is positive? – After we have done some algebra to find a solution to our ODEs in the Laplace domain, we must invert the Laplace transform if we want to get a solution in the time domain. We sometimes use partial fraction expansion to express the Laplace expressions in a form that can be easily inverted. CSTR Example Transform Model (in deviation variables) using our library of transforms, the Laplace transform of the model is: For a step change in feed concentration at time zero starting from steady state. Tank Example Solution Solve for CA(s) If we like, we can rearrange to the form: This is the solution in the Laplace domain. To find the solution in the time domain, we must invert the Laplace transforms CSTR Example Solution inverse Laplace transform – Can be determined using a complex integral easiest approach is â€Å"table lookup† Use Table 4-1, entry 5 Maple is good at inverting Laplace transforms too The Impulse Function limit of the pulse function (with unit area) as the width goes to zero and height becomes infinite transform CSTR Impulse Response physically dump some pure A into reactor, all at once input function Transform time response Interpretation of Impulse Response dump a bag of reactant into the reactor in a very very short time we see an instantaneous jump to a new concentration due to the impulse input concentration then decays back to the original steady-state concentration Time-Shifted Functions Representation of Delays Laplace transform for function with time delay Just pre-multiply by an exponential. How could we prove this? – change of variables in integration in expression for Laplace Transform (see p. 103 of Marlin, p. 115 in first ed.) Reactor Example with Time Delay Suppose we add a long length of pipe to feed – assume plug flow – It will take a time period, q minutes, before the change in concentration reaches the tank, and begins to influence cA – delay differential equation  » difficult to solve directly in time domain  » easy to solve with Laplace transforms Tank Example with Time Delay – Solutionresponse to step input in cA0 time response Final Value Theorem An easy way to find out what happens to the output variable if we wait a long time. We dont have to invert the Laplace transform! Why is it true? – Consider the Laplace transform of a time derivative now let s approach zero provided dy/dt isnt infinite between t=0 and t ®Ã‚ ¥ (i.e y(t) is STABLE) This will be true if Y(s) is continuous for s ³0 Using the Final Value Theorem Step Response Reactor example final value after a step input What can we do with Laplace Transforms so far. Take Laplace transforms of linear ODEs (in deviation variables). Substitute Laplace transform expressions for different kinds of inputs we are interested in: – Steps, pulses, impulses (even with dead time) Solve for the output variable in terms of s. Invert the Laplace transform using Table 4.1 to get the solution in the time domain. Find the final steady state value of the output variable, for a particular input change, even without inverting the Laplace transform. Laplace transforms are mostly used by control engineers who want to determine and analyze transfer functions. compact way of expressing process dynamics relates input to output p(s), q(s) polynomials in s – q(s) will also contain exponentials if time delay is present Once we know the transfer function of the process, we can use it to find out how the process responds to different types of input changes:

How The Fashion World Affects Teenage Girls

How The Fashion World Affects Teenage Girls Teenage girls represent a meticulous demographic and they are often self-conscious as they develop and mature into young adults. Their preferences in fashion are also changing (Ang 2010) and their choices clearly influence how the fashion world and the media portray fashionable women. This paper intends to prove that the way Fashion World portray women can promote eating disorders, which is a serious mental health issue. These days, news stands have been displaying fashion magazines with images of women who are often thin. Similarly, the television is also portraying more and more thin women. Bones are becoming more apparent and implants are now replacing the real breast. Since most supermodels and actors featured in fashion magazine are skinny, they risk kidney failure, osteoporosis and even infertility (Rowland 2001). However, teenage girls do not realize the risks associated with being skinny. For most teenage girls, the perfect person they want to be is a supermodel or a fashionable actor and the focus mostly is on external appearance. This is the reason why most teenagers today are unsatisfied with their appearance, which affects their diet and self-confidence (Rowland 2001). Based on the survey made by Reuters, almost 9 out of 10 teenage girls stated that they feel pressured to be skinny by the fashion world. Today, most fashion models weigh approximately 23 percent less than the normal woman. Indeed, most models do not represent average women. A research discovered that majority of models are between the ages of 14 and 19 and their average height is approximately 510 to 511 and their average weight is around 120 to 124 pounds. The healthy weight for women around this height must be between 142-150 pounds. It shows a significant difference and to mention that 124 pounds for 510 women are considered as unhealthy (The Effects of Fashion Industry on Eating Disorders 2010). A huge contributing factor to this concern is that most influential people of the fashion industry promote the use of overly thin models in fashion shows and editorials. For instance, Chanel designer Karl Lagerfield stated that those people who said that skinny models are ugly are only jealous and fat. Lagerfield has been quoted stated that These are fat mummies sitting with their bags of crisps in front of the television, saying that thin models are ugly. This opinion is not only repulsive but it can influence the fashion world that most people encourage this idea. Apart from Lagerfield, world-renowned fashion writer Kelly Cutrone defends employing skinny models by stating that Clothes look better on thin people since the fabric hang better (The Effects of Fashion Industry on Eating Disorders 2010). Fashion worlds obsession towards skinny women clearly pressured teenage girls to become skinny. Continuous exposure to images of thin fashion models often reduces self-esteem among teenage girls (Smith 2008). In order to improve their self-esteem, adolescents tried to seek ways in order to acquire a super slim figure. This resulted in increased cases of eating disorders such as bulimia and anorexia nervosa (The Effects of Fashion Industry on Eating Disorders 2010). Based on the studies of Washington-based American Academy of Child and Adolescent Psychiatry, figures of eating disorder cases has doubled since 1960s in the United States with an approximately ten million girls and women who are affected by bulimia nervosa, anorexia and other eating disorders. Anorexia nervosa pertains to excessive weight loss and self-starvation. A teenage girl is considered having anorexia if she loses 15 percent of weight or when growing adolescents failed to reach at least eighty-five percent of minimal weight depending on age and height. Other symptoms of anorexia includes loss of menstrual period, excessive focus on shape and body weight, feeling overweight regardless of dramatic weight loss, having an intense fear of gaining fat or weight, sore throat, and refusing to sustain an acceptable body weight (Eating Disorders 2008). A teenage girl having anorexia are often perfectionist and high achiever in school. Girls who suffer from anorexia also suffer from low self-esteem and irrational belief that they are fat even though they are actually thin. They also experience a sense of control and often say no to the normal food demand of their bodies. Because of their willingness to become very slim, as demanded by the fashion world, the teenage girls will starve themselves. Eventually they could even suffer from serious illnesses and this could even result in death (Eating Disorders 2008). Bulimia nervosa is another eating disorder, which is often characterized by purging. This involves eating huge amounts of food in a short period and then getting rid of what they have eaten through vomiting, over-exercising and laxative abuse. It would be difficult to recognize bulimia since most people with this kind of disorder stay at normal body weight. Bulimia signifies a serious risk to the patients physical health such as dehydration, hormonal imbalance and damage to vital organs (Eating Disorders 2008). Based on the Philadelphia-based Renfrew Center Foundation, forty-seven percent of American girls from fifth through 12th grade claim that they want to become slim due to magazine pictures and 60 percent stated that magazines affect their ideas of desirable body type. The worst reality is that most teenage girls do not realize the every image of model in fashion magazines has been altered using the latest technology in order to remove bulges and any undesirables. Images in fashion magazines are often unrealistic, manipulated and airbrushed, yet they still place considerable pressure on teenage girls (Terzieff 2006). The fashion worlds emphasis on underweight models is clearly unacceptable and concerned people and individuals should find a solution in order to solve this dilemma. One good example are the actions made by the Council of Fashion Designers of America that created a CFDA initiatives that imposes specific recommendations to designers and magazines in order to solve this concern (Eating Disorders 2008). CFDAs solutions consists of the following: requiring models who have eating disorders to seek professional care and they will not be allowed to work without professional approval, providing healthy meals during photo shoot and runway shows and sharing information for models and the rest of the industry regarding eating disorders (Eating Disorders 2008). On the other hand, harsher means should be imposed. Sample size among women should increase. On the other hand, a committee that approves magazines and fashions shows before presenting their work should be created. These committees should create specific weigh standards and ensure that each girl in a fashion magazine or those who will walk on a runway. Even though this might require considerable time and money, this is completely necessary (The Effects of Fashion Industry on Eating Disorders 2010). One good example of a similar initiative is the solution by Spains fashion industry, which made international headlines not only for the clothes on display but also for the models size. The Madrid Regional government implemented a ban on skinny models for Madrid Fashion Week catwalks. The decision made also produce shock waves across international fashion industry (Terzieff 2006). Advocates even encourage the industry to expand the ban and create new standards on the weight and sizes of models. The government of Spains main intention is to encourage healthier body image. More than thirty percent of models who appeared in Madrid catwalks last year were disqualified because of the new guidelines. This would also prevent the participation of top models including Spains Esther Canadas, Brazils Fabiana, Estonian model Carmen Kass and Britains Kate Moss (Terzieff 2006). Conclusion Teenage girls represents a meticulous demographic and they are often self-conscious as they develop and mature into young adults. Their preferences in fashion are also changing (Ang 2010) and their choices are clearly influence how the fashion world and the media portray fashionable women. These days, newsstands have been displaying fashion magazines with images of women who are often thin. Similarly, the television is also portraying more and more thin women. Bones are becoming more apparent and implants are now replacing the real breast. Since most supermodels and actors featured in fashion magazine are skinny, they risk kidney failure, osteoporosis and even infertility (Rowland 2001). Fashion worlds obsession towards skinny women clearly pressured teenage girls to become skinny. Continuous exposure to images of thin fashion models often reduces self-esteem among teenage girls (Smith 2008). The worst reality is that most teenage girls do not realize the every image of model in fashion magazines has been altered using the latest technology in order to remove bulges and any undesirables. Images in fashion magazines are often unrealistic, manipulated and airbrushed, yet, they still place considerable pressure on teenage girls (Terzieff 2006). In order to improve their self-esteem, adolescents tried to seek ways in order to acquire a super slim figure. This resulted in increased cases of eating disorders such as bulimia and anorexia nervosa (The Effects of Fashion Industry on Eating Disorders 2010). The fashion worlds emphasis on underweight models is clearly unacceptable and concerned people and individuals should find a solution in order to solve this dilemma.

Ergonomics Essay example -- GCSE Business Marketing Coursework

Ergonomics Ergonomics, as defined by the Board of Certification for Professional Ergonomists (BCPE), "is a body of knowledge about human abilities, human limitations and human characteristics that are relevant to design. Ergonomic design is the application of this body of knowledge to the design of tools, machines, systems, tasks, jobs, and environments for safe, comfortable and effective human use". The term ergonomics is derived from the Greek word ergos meaning "work" and nomos meaning "natural laws of" or "study of." The profession has two major branches with considerable overlap. One discipline, sometimes referred to as "industrial ergonomics," or "occupational biomechanics," concentrates on the physical aspects of work and human capabilities such as force, posture, and repetition. A second branch, sometimes referred to as "human factors," is oriented to the psychological aspects of work such as mental loading and decision-making. The profession is comprised of practicing and academic engineers, safety professionals, industrial hygienists, physical therapists, occupational therapists, nurse practitioners, chiropractors, and occupational medicine physicians. History of Ergonomics. Christensen, an expert in the said field, points out that the importance of a "good fit" between humans and tools was probably realized early in the development of the species. Indeed cavemen are known to have selected stone tools and made scoops from antelope bones in a clear display of selecting/creating objects to make tasks easier to accomplish. In the work environment, the selection and creation of tools, machines, and work processes continued. Over centuries, the effectiveness of hammers, axes and plows improved. With the Industrial Revolution, machines such as the spinning jenny (a machine that produced yarn to make cloth) and rolling mills (a method of flattening iron ore into flat sheets) were developed to improve work processes. This is the same motivation behind much of ergonomics today. The association between occupations and injuries of body muscles and bones were documented centuries ago. Bernardino Ramazinni (1633-1714) wrote about work-related complaints (that he saw in his medical practice) in the 1713 supplement to his 1700 publication, "De Morbis Artificum (Diseases of Workers)." Wojciech Jastrzebowski created the word ergonomics in 1857 ... ...ngineering Controls) Pullout steps, external handles and multilevel shelving have been installed in delivery trucks to make access to beverage cases easier. Counterbalancing devices have been added to improve hand truck stability. Beverage cartons have been redesigned for easier handling. The total weight was decreased by substituting plastic for some glass containers. Ergonomic Solution (Benefits) Reduced risk factor exposure. Employee satisfaction. Improved physical and psychological comfort. Ergonomic Solution (Method Which Verified Effectiveness) Quantitative tests of heart rate, stress/fatigue levels and discomfort reports showed statistically significant improvements in physical and psychological comfort, providing scientific justification for the changes. References R.S. Bridger. (1995) Introduction to Ergonomics. McGraw-Hill International Editions K.H.E. Kroemer & E. Grandjean. (1999) Fitting the task to the human Taylor & Francis Publishings The Human factors section, Health, Safety & Human factors laboratory, Eastman Kodak Company. (1983) Ergonomic design for people at work Van Nostrand Reinhold, New York www.ergoweb.com

Essay --

Neither slavery nor involuntary servitude, except as a punishment for crime whatever the party shall have not been thoroughly convicted, shall exist within the United States, or any place subject to the jurisdiction. This is the 13th amendment. Now we may ask ourselves as a country, what does this mean for us? Well to me, this is probably the most powerful thing that I've ever heard. This is just deeper than words on a paper, this, this text right here is the reason why I am able to stand here and talk to you today. January 31, 1865, a day and what's a beautiful piece of work was created. 1856, Dreed Scott v. Sandford a case in which an enslaved African American wrote a petition to the Supreme Court asking for his freedom. Did he win? Of course not, its 1856. The Supreme Court ruled against him as well as saying that the Bill of Rights did not apply to African Americans. Let me read to you what the Constitution has to say about racism and segregation. â€Å"_____________† Oh thats right, it doesn’t. Until 1865, people who were not straight white males were not considered to be human beings. â€Å"Those who deny freedom to others, deserve it not for themselves; and, under a just God, can not long retain it.† Abraham Lincoln 1858. A wise man, with wise words explaining that no man nor woman created by â€Å"THE CREATOR† should deny freedom to a person or persons because we would not want to have our freedom to be denied by others. African-Americans as well as many other nonwhite Americans did not have the rights to vote in wrongful aggression of slavery, and have many other opportunities and careers such as the whites. To be seen as American and not as interfere work to be uses labor. It is important to learn these things, because we can know a... ...something greater than we think it is. We, as a community must stop with the verbal abuse, to not only to the African Americans, but to any of us that may be different from ourselves. Stop the vulgar comments and â€Å"wisecracks† in which we think that is funny is really a dull unsharpened arrow piercing the heart of an innocent human being just like yourself. Can I ask you something? Do we make jokes about Holocaust? Do we make violent slurs about 9/11? So why should racism be treated any differently? The only way to end this, is one person at a time. Looking at themselves and making an obligation to their heart saying that no longer will I exploit the insurreties of an individual. No longer will I put myself and my selfish desires over other’s feelings and emotions. Are we ready to grow and mature as a nation as a community, as a civilization? Or, maybe its just me.

Ib History Mao’s Cultural Revolution Notes

The great Proletarian cultural revolution * All over China was the campaign to destroy the old and build the new * Abolishing the four olds * The people crowding Beijing in 1966 carried the little red book and the Mao badge * forcefully taken away anything old or has traditional values. * The children were taken into actions as well * Giving social advantages to the Red guards, thousand took advantage * The youth were educated of the revolutionary stories * Women had equal status in the revolution as men did Political figures such as Liu Shaoqi and Wang Guangmei were persecuted and eventually dead * 1968 the red guards started to fight each other, the PLA joined different groups causing increase in violence * Same year Sino-Soviet battle in XinJiang threatening China’s national security, Mao ordered to terminate the revolution in the XinJiang Province * Later on that year he decided that the revolution has reached its primary goals, therefore declared the success of the revolu tion * Students were sent home, but when some university students continued to fight, PLA was sent in * Mao restructured the government by forming the Revolutionary Committee which runs the country. Power struggle pursued * 1966-1969 the dark time of the cultural revolution, half a million people died from torture * Youths were raised without supervision caused social instability * A whole generation, the realization that their loyalties earned them only manual labor jobs in rural China and that their supposed counter revolutionary targets were exonerated contributed to changing attitudes towards the Party and its ageing leadership. Economy fell as most of the urban workers were afflicted in politics, as did agriculture and production * 1971, Lin Biao tried to assassinate Mao, the 571 incident. After failure he tried to escape on a plane which was shot down * 1972, Nixon came to China due to international pressure in the UN as well as US political needs * Border tension with USSR, I ndia, DPRK, North Vietnam, therefore needed the improved relations with US * Jan 1976, Zhou Enlai died; Later on that year Zhu De died. September 9th, Mao died * Mao’s widow Jiang Qing with three other men were arrested for crime against state, and Hua Guofeng would succeed Mao. Mao’s Impact Though his failure in the great leap forward and the cultural revolution, he remained an icon in China, but was portrayed as a tyrant in overseas. * Heightened sense of nationalism was when the CCP defeated the Japanese, which laid foundation for the overall success in 1949 * He made China to stand up, which is why he remained an icon for most Chinese people * Economically, despite the setbacks from the great leap forward and the cultural revolution, China did develop hugely in economic sector during his rule. * Life expectancy reached 65 by the time of Mao’s death. * Women gained the same social status as men did * Literacy rate increased

Ann Romney: Why Women Should be paid equal to men? Essay

Ann Romney was asked during her speech at a Moms for Mitt meeting, â€Å"Why should women get equal pay?† The ladies of the meeting wanted her opinion on equal pay for employees based on gender. She took no time to answer the question with a response that would shock the audience into silence to hear the following: â€Å"Why should women be paid equal to men? Men have been in the working world a lot longer and deserve to be paid at a higher rate. Heck, I’m a working mom and I’m not paid a dime. I depend on my husband to provide for me and my family, as should most women†¦ and if a woman does work, she should be happy just to be out there in the working world and quit complaining that she’s not making as much as her male counterparts. I mean really, all this wanting to be equal nonsense is going to be detrimental to the future of women everywhere. Who’s going to want to hire a woman, or for that matter, even marry a woman who thinks she is the same, if not better than a man at any job. It’s almost laughable. C’mon now ladies, are you with me on this?† When Mrs. Romney finished speaking, there was an awkward silence in the room with scattered applause that seemed a bit forced because of the audience’s support for her husband. Seemingly, Ann Romney was embarrassed and was escorted to a vehicle that took her to her husband. I view Ann’s perspective as a pre- meditated woman who believes women aren’t the backbone of this country just as much as men. But all women have the right to the same and equal opportunities as men. I wonder if her speech affected her husband’s presidential campaign.

Cross of Gold Essays

Cross of Gold Essays Cross of Gold Essay Cross of Gold Essay In 1896. three old ages after the Panic of 1893 . a adult male by the name of William Jennings Bryan delivered one of the most historical addresss to this twenty-four hours. In the late 1800’s a populist motion was go oning and people were get downing to take notice. Political corruptness and large concern patterns hurt non merely labourers. but besides husbandmans. When husbandmans organized into confederations. and finally into the Populist Party. they posed a challenge to the reigning bipartisan system. During the 1896 elections the Populist Party had begun to turn and derive impulse. they had put a senator in office and taken over the Kansas province Legislature. The election of 1896 was known as the battle of the standards because it focused chiefly on the gold versus Ag criterions of money. Peoples wanted speedy solutions to the economic crisis and the support of free Ag mintage began to lift in 1894. During the Democratic Convention William Jennings Bryan delivered the Cross of Gold address. This address is considered one to the most good known political addresss. This address when reviewed with the historical context and Bryan’s political point of position creates a great description of what our state was traveling through in the early to mid 1890’s and the importance and significance of the 1986 presidential election. In 1894. 20 Democratic province platforms called for a free mintage of silver despite President Cleveland’s resistance. Power from the party shifted to the South and its mentality reflected the positions of Southerners and Democrats became a sectional party. no longer a national party. As a consequence this left the Democrats without a leader and this is where Bryan got involved. The republicans had defeated their Ag platform and wanted the gilded criterion. Bryan wanted to take the Ag Democrats and felt that he could. He delivered the Cross of Gold address and won the presidential nomination the following twenty-four hours. This address is supposed to derive the blessing from the Democratic Party and to acquire Bryan into the Presidential election. He was successful at both of these. William jennings bryans chief statement in his address is that the gilded criterion will non assist the state as it struggles with unemployment and high involvement rates and everything else the Panic of 1893 created. The state needed to acquire out of this rut and needed to make it now. He believed that Ag mintage was the manner to carry through this. When Bryan says Having behind us the bring forthing multitudes of this state and the universe. supported by the commercial involvements. the laboring involvements. and the toilers everyplace. we will reply their demand for a gilded criterion by stating to them: You shall non press down upon the forehead of labour this Crown of irritants. you shall non crucify world upon a cross of gold. . he makes the point that by accepting the gilded criterion they would be killing the state. And that the gilded criterion would non convey the state out of the depression they were in. It would do the state fail. Another traveling quotation mark in this address is You come to us and state us that the great metropoliss are in favour of the gilded criterion ; we reply that the great metropoliss rest upon our wide and fertile prairies. Burn down your metropoliss and go forth our farms. and your metropoliss will jump up once more as if by thaumaturgy ; but destruct our farms and the grass will turn in the streets of every metropolis in the state. This shows that yes the great metropoliss are in favour of the gilded criterion but they don’t understand what the remainder of the state is traveling through. They are dependent on the farms and agribusiness of the U. S. and if the metropoliss fail they can reconstruct them and repair them. but if the farms fail there is nil that can repair this. The husbandmans are in desperate demands of aid and the gilded criterion is non th e solution. free Ag is. In this address he besides says Ah. my friends. we say non one word against those who live upon the Atlantic seashore. but the stalwart innovators who have braved all the dangers of the wilderness. who have made the desert to bloom as the rose-the innovators off out at that place [ indicating to the West ] . who rear their kids near to Nature’s bosom. where they can mix their voices with the voices of the birds-out there where they have erected schoolhouses for the instruction of their immature. churches where they praise their Godhead. and graveyards where rest the ashes of their dead-these people. we say. are as deserving of the consideration of our party as any people in this state. It is for these that we speak. We do non come as attackers. Our war is non a war of conquering ; we are contending in the defence of our places. our households. and descendants. We have petitioned. and our requests have been scorned ; we have entreated. and our prayers have been disregarded ; we have begged. and they have mocked when our catastrophe came. We beg no longer ; we entreat no more ; we petition no more. We defy them. . . . This quotation mark has great significance in the manner that he talks about how he is non stating anything bad about the people populating on the east seashore. who still look to England for thoughts and beliefs ( such as the gilded criterion ) . He talks about the innovators and all they have accomplished. and why they deserve to hold a say in the political universe merely every bit much as the remainder of the state. He is seeking to voice all their ideas and positions in this address. Bryan battles for the people who are fighting to populate and back up their households and places. He says that they must no longer implore or petition but instead withstand what they ( Republicans ) are seeking to make. Bryan subsequently lost the presidential election to William McKinley. but the address that he gave had greater significance than merely acquiring the Democratic nomination for presidential term. This created a quandary for the democrats because they did non believe any party would back free Ag. so now they were faced with a tough pick. put up their ain campaigner or side with Bryan. Bryan basically split up the Populist Party because half of them thought they should side with the Democrats ( Bryan ) . but the other half were purists and wanted to make it all by themselves. he did non win the election but he stopped the 3rd party and changed the manner the Democratic Party thinks. Without inquiry. William Jennings Bryan’s Cross of Gold address was one of the most of import and impactful address in all of political relations. It changed the ideals of the Democratic Party and maintained the traditional bipartisan system. Without the Acts of the Apostless of Bryan would this state even be afloat still? This address is genuinely one of the greatest addresss I have of all time heard/read is really meaningful as our state is in another large recession and makes you look in the past and see how we have persevered and conquered jobs in the past and provides hope we will get the better of this recession.