Hi, need to submit a 500 words essay on the topic 5-color theorem.

There are three of them, four-color, five-color and six-color theorem. The five color theorem was proved in 1890 showing that five colors suffice to color a map. (Jensen and Toft 61)

It all began with Francis Guthrie. He was a mathematician from British, who in 1952 discovered that he could color the states in the map of Great Britain by means of four colors without coloring of the neighboring countries with the same color. The problem hence arose if it was feasible to color any given map using four colors and it remained an area of interest for a while. The problem was. however, deciphered in 1879 when A. Kempe claimed to have found an explanation to the four color problem and went ahead to publish his solution and proof. In 1890. however, P. Heawood discovered an error in Kempers proof, which led to the demotion of the four color theorem as a credible theory. Heawood was unable to show that there was an error, which could have been colored with not less than five colors, but ultimately proved that Kempe was wrong in his argument. This led to a solution in the color problem with the five color theorem sufficing (Jensen and Toft 61).

In order to proof the five color theorem mathematically, one relates a planar graph, G to a certain map. A vertex is placed on every area in the map. Two vertices are then connected with an edge where analogous areas share a boundary in common. This problem is then translated into a graph coloring problem. One is now required to color the graph vertices so that no border has its endpoints with a similar color. This proof relies heavily on the Euler characteristic to illustrate that there, it is mandatory to have a vertex V that is shared by at most five borders. It also relies on the fact that G is a planar. This is to denote that G may be embedded in a plane without necessarily intersecting the borders. Now take out

 

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Hi, need to submit a 500 words essay on the topic 4.1 Strategic Management Practices.

ation of the policies, the human resources for the achievement of the policies as well as the time with which the policies are expected to be achieved (David & Thomas, 2014).

In the current health care structure in the United States, the stakeholders have transformed the management principles used to govern the health system delivery with the aim of achieving universal coverage for health. In an attempt to understand the health system and the strategic organization model behind it, this paper will explore the external environment of health care organization both in the United States and outside the United States through analysis of recent articles.

According to U.S. Department of Health adn Human Services, (2012), the current goal of health care organizations in the United States is to transform the health care system to ensure achievement of better values and improvement of health. To attain these goals, the organizations delivering health services must demonstrate efficiency, adopt new payment models, develop adequate care coordination with the external environment as well as improve quality for better health. According to this article, health care finance in the United States is a current issue that is of importance both to the citizens and to the government.

In the current economic market, the economy of United States is slowly recovering, thus there will be increased pressure on the health care organization to increase efficiency to ensure valuable service to the citizens who seek health care through payment programs such as insurance cover. For long-term financial sustainability, health organizations must thus bend the cost curve and maintain global competitiveness in delivery of the services.

According to Longworth (2011), maintenance of ethical standards in the delivery of healthcare services is the main point of association between health care organizations and their external environment in the united states. According to this article, it is evident

 

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Hi, need to submit a 500 words essay on the topic 2. What is the difference between an alliance problem and an alliance symptom, and what does this difference mean in terms of managerial intervention.

Most of the time differencing between alliance problems and symptoms becomes a challenge for the organization. There is always a difference between these two. Problems are usually not visible on the front line and symptoms on the other hand are quite clear and are a constant reminder of an upcoming problem. In strategic alliances the organizations usually consider a symptom as a problem and instead of doing an in-depth analysis of that symptom they take initiatives to solve it. This false interpretation of problems and symptoms can lead towards greater hazards. An example of difference between alliance symptom and problem is: when an organization observes an unenthusiastic change in the behavior of its partner it should not immediately take initiatives to change this behavior instead it should try to find out the root cause of this change. This change in behavior can be a result of lack of trust among the partners, in-competitive behavior of one of the partners, difference in the atmosphere of the two organizations or a difference between work schedule and strategies of the two organizations. If the organization over-looks these core problems and misinterprets the symptom as a problem then it can endanger the alliance. This misinterpretation is the cause of failure of more than 66 percent of the alliances.

Even though the above mentioned factor can be a hurdle in the success of an alliance but proper and effective senior management is the most important factor for overcoming these hazards. If the top management is committed to the success of the alliance then it should take proper steps in order to avoid these problems and their misinterpretation with the symptoms. The management should try to understand the philosophies of the management of their partner organization. If the attitudes and thinking of both the managements would be similar then most of the core problems would be avoided. Another important factor is effective

 

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Hi, need to submit a 4750 words essay on the topic Modern Technology and the Efficiency of Football Players.

The sport has always been the leisure time activity since centuries. Such as china‘s primordial past time game was Gymnastics, Swimming and Fishing for Pharaohs, javelin throwing, high jump, and wrestling were also included in the ancient Egypt games, Iranian martial art and polo and jousting in Persia. Ancient Greece established a wide range of sports. As the time passed, sports became prominent and then Greek created the Olympic Games. Football or Soccer is the most popular game in today’s world. People all over the world are crazy for football while a few countries worship this game. Soccer evokes passion and emotion unparalleled within the realm of competitive sports.&nbsp.The immense popularity of Soccer does not mean that it is an easy game. Soccer possesses several physical and mental&nbsp.challenges for participants.&nbsp.There are no specialists on the soccer field except the goalkeeper. In soccer, each player has to attack and defend at the same time during the game. A player is the one who uses several foot skills to control the ball under the specified space restriction, time limit, physical fatigue and the indomitable challenges of opponents (Ekblom 1994).&nbsp.During the play, a player has to perform and prove his abilities of good decision making and respond rapidly to the changing situation. Team success and individual performance depend on player abilities to face challenges during the game. These skills are not being found by chance in any player, it has to be developed with lots of practices, pieces of training and techniques. Football or Soccer is the most popular game in today’s world. People all over the world are crazy for football while a few countries worship this game. Soccer evokes passion and emotion unparalleled within the realm of

 

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Hi, need to submit a 4500 words paper on the topic Applied Ethics in Criminal Justice Management. I tend to think that the witness is being bribed in order to offer information regarding other criminals. The bribery here is, however, done for a good cause. The information provided by this witness will help get justice for other affected individuals. An example of this is the rampart scandal that saw a cop named Rafael Perez cut a deal with the prosecutor so as to expose the masquerading police officer or rather bad cops. A series of crimes was observed before the cop was arrested. The road rage shootout that saw an undercover agent shot to death while off duty, by a white cop. This developed tension among the force, but was later settled when investigations confirmed that the black cop was involved in many other street crimes.

Another incident was the bank robbery that took place in Los Angeles. The suspected bank manager implicated her boyfriend, who was a cop to the organizing of the crime. Investigations revealed that the cop together with other partners in the force were gambling and spending a lot of money. One of the partners was known as Rafael Perez. Investigations on the police officer were launched when 6 pounds of cocaine, stored as evidence went missing. Part of the investigation involved the formation of a team named Rampart Corruption Task Force. The force was primarily focused on prosecuting Rafael Perez. When an audit of the property room was done, it was discovered that some more pounds of cocaine was missing. The speculation made pointed Perez as the culprit.

 

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