Health care free essay sample

Questions for Directed Journaling Level 3 (November 2012 Session) 1. To prepare graduates that conduct themselves in a professional manner by acting ethically, selfassessing, following codes of conduct and standards of practice with integrity. †¢ Review the responsibilities of the dental hygienist for reporting abuse under the Regulated Health Professions Act, as outlined in the CDHO Registrant’s Handbook and Professional Issues II (DH 202). Read the articles â€Å"Oral health professional alert: Elder abuse concern in the United States and Canada† and â€Å"Initiating discourse on recognizing and reporting child abuse†. Based on these articles, reflect on the following: Describe your responsibility and obligation when you suspect abuse in Ontario. Outline the consequences you could face if you neglected your duty. Reflect your personal opinion about this responsibility and possible consequence. Describe how you would handle a situation in the CADH clinic should you suspect abuse. Furnari, W. (2011). Oral health professional alert: Elder abuse concern in the United States and Canada. Up until 2005 Tricare had 11 regions. They merged to form the previously mentioned. Each of these regions is headed by a regional director. This person is responsible for overseeing all health care delivery activities in their specific region. Regional directors work hand in hand with military treatment facility commanders. Tricare’s most important goals are accessibility and affordability. Active duty service members, spouses and unmarried children of active duty service members and, uniformed service retirees, their spouses, and unmarried children are all eligible for Tricare. They must be enrolled in a program called DEERS (defense enrollment and eligibility reporting system) before receiving their sponsorship. Most individuals who are 65 years old and eligible for Medicare, parents’ and parents-in law of active duty service members or uniformed TRICARE Services retirees, or of deceased active duty members or retirees, and individuals who are eligible for benefits under the Civilian Health and Medical Program of the Department of Veterans Affairs are not eligible for any form of Tricare. Just like any other form of HMO, Tricare pays only their allowed services. This includes their supplies and procedures. These things are called covered charges. Covered charges include medical and psychological services and supplies that are considered appropriate care and are generally accepted by qualified professionals to be reasonable and adequate for the diagnosis and treatment of illness, injury, pregnancy, mental disorders, and well- child care. Tricare has something that is referred to as an allowable charge. It would be the equivalent to co-insurance. It is calculated by researching professional providers’ fees for similar services in the past year with certain adjustments for specific locations. Tricare has three choices available for health care. The three choices are Tricare Standard, Tricare Prime and Tricare Extra. Tricare Standard is your typically fee-for-service plan. Under this type of Tricare enrollees are allowed to choose which provider they are treated by. This is the broadest choice of providers. In many locations Tricare Standard is the only option available. Members who are eligible for Tricare Standard may also use Tricare Extra. Tricare Extra is a preferred provider option. The sponsor chooses a hospital, medical provider or any other physician that is listed in the Tricare Provider Directory. There is no annual fee for this type of Tricare. Tricare Prime is health maintenance organization type of managed care option in which MTFS are the principal source of health care. When eligible person’s sign up for this they are assigned TRICARE to a PCM (primary care manager). They must see this provider or team of providers first for all routine medical care. Tricare and CHAMPVA have many similarities. CHAMPVA is a health care benefits program for depends of veterans. Under this program the CA shares the cost of covered health care services and supplies with eligible beneficiaries. This program is managed by the VA’s Health Administration Center in Denver, Colorado. Although they both are very similar individuals who are eligible for Tricare are NOT eligible for CHAMPVA. CHAMPVA only provides benefits to eligible family members of veterans who have been declared 100% disabled due to service related injuries, survivors of veterans who died from service connected conditions, and survivors of service members who died in the line of duty who are not otherwise entitled to TRICARE benefits. Tricare is no different from any other HMO health provider. It is simply something that was established to make the individuals who serve our country have an easier time while trying to obtain certain benefits. Tricare main purpose is to improve overall access to health care beneficiaries, provide faster, more convenient access to civilian health care; create a more efficient way to receive health care; offer enhanced health care services, including preventative care; provides choices for health care and control escalating health care costs.

Skills Versus Traits and the Systems Perspective

Question: Describe the difference between skills approach and traits theory. Providing relevant information regarding that whether trait represents skill or skill represents trait. Relation of skills and traits to philosophy of personal healthcare administration leadership. Answer: Difference between skills approach and traits theory: Skills approach Traits theory It is the ability acquired through learning, aptitude and practice It is the unique feature of a person, which is distinct and branded within the same (Politis Politis, 2016). Skills are developed with the passage of time. Traits are in-born and the distinguished feature of an individual. The skills are developed through learning, which might eventually vanquish after a certain span of time. Traits comprise of the natural abilities of an individual and remain lifelong with an individual, Providing relevant information regarding that whether trait represents skill or skill represents trait: According to the above discussion, it is inherent that trait represents skill, as the trait theory helps in identifying the independent attributes and acquired capabilities. This distinguishes a leader from a non-leader (Mondy Martocchio, 2016). The leaders could develop4ed communication skills through learning; however, it is through personal traits that the leaders acquire the convincing power and motivate the workforce. For instance, Jeff Bezos has been a successful leader in e-commerce through innovation of the predictive analytics concept to customers for purchasing products and services (Forbes Welcome, 2016).Therefore, it is with the help of personal traits that the person has acquired such skills of innovation. Relation of skills and traits to philosophy of personal healthcare administration leadership: The healthcare professionals need to undertake an active role by developing the interpersonal skills through interaction with the colleagues and other personnel in the healthcare organisation. In addition, the healthcare leaders need to be empathetic while communicating with the patients and family members. The healthcare leaders also need to possess the skills of maintaining the ethical norms to maintain transparency of the organisations. For instance, Regina Holiday, the founder of The Walking Gallery has been a phenomenal leader in healthcare administration by providing advices to the patients suffering from kidney cancer. Through such advice, the woman has maintained the lucidity in medical records (Forbes Welcome, 2016). References: Forbes Welcome. (2016).Forbes.com. Retrieved 12 September 2016, from https://www.forbes.com/sites/davidkwilliams/2012/07/24/top-10-list-the-greatest-living-business-leaders-today/#647b29421703 Mondy, R. Martocchio, J.J. (2016).Human resource management. Pearson. Politis, D., Politis, J. D. (2016). The Relationship Between an Online Synchronous Learning Environment and Knowledge Acquisition Skills and Traits: The Blackboard Collaborate Experience.

Hello Essays (436 words) - Social Inequality, Politics, Structure

Hello We are both members of XYZ LinkedIn Group and I liked what you had to share about ABC(always link to the group and the discussion). This is an area of interest for me and I would love to connect with you on LinkedIn to share ideas, information or just get to know each other's work. I look forward to learning more about you. Regards This essay Affirmative Action has a total of 2773 words and 12 pages.Affirmative Action Affirmative action works. There are thousands of examples of situations where people of color, white women, and working class women and men of all races who were previously excluded from jobs or educational opportunities, or were denied opportunities once admitted, have gained access through affirmative action. When these policies received executive branch and judicial support, vast numbers of people of color, white women and men have gained access they would not otherwise have had. These gains have led to very real changes. Affirmative action programs have not eliminated racism, nor have they always been implemented without problems. However, there would be no struggle to roll back the gains achieved if affirmative action policies were ineffective. The implementation of affirmative action was America's first honest attempt at solving a problem, it had previously chosen to ignore. In a variety of areas, from the quality of health care to the rate of employment, blacks still remain far behind whites. Their representation in the more prestigious professions is still almost insignificant. Comparable imbalances exist for other racial and ethnic minorities as well as for women. Yet, to truly understand the importance of affirmative action, one must look at America's past discrimination to see why, at this point in history, we must become more "color conscious". History Of Discrimination In America: Events Leading To Affirmative Action. The Declaration of Independence asserts that "all men are created equal." Yet America is scarred by a long history of legally imposed inequality. Snatched from their native land, transported thousands of miles-in a nightmare of disease and death-and sold into slavery, blacks in America were reduced to the legal status of farm animals. A Supreme Court opinion, Dred Scott v. Sandford (1857), made this official by classifying slaves as a species of "p rivate property." Even after slavery was abolished by the Thirteenth Amendment in 1865, American blacks, other minorities, and women continued to be deprived of some of the most elementary right of citizenship. During the Reconstruction, after the end of the Civil War, the Fourteenth Amendment was passed in 1868, making blacks citizens and promised them the "equal protection of the

Impact Of Cell Phones Usage English Language Essay Essays

Impact Of Cell Phones Usage English Language Essay Essays Impact Of Cell Phones Usage English Language Essay Essay Impact Of Cell Phones Usage English Language Essay Essay Cell phones adopted by immature coevals in recent twelvemonth, have become planetary phenomena around the universe. Therefore, with the outgrowth of this engineering about everyone has tried to follow these cell phones. We found in this research that cell phone use had a negative impact on pupils GPA. Students utilizing their cell phone during category, they besides having and directing text messages during their category so they were able to pay less attending to talk and therefore it had negative impact on pupils public presentation. Cardinal footings: Cell phones use, Academic public presentation, GPA Introduction Commercialization of cellular phone engineering has increased its usage in recent old ages. In Pakistan sum endorsers for cell phones till 12 September 2012 have reached to 120,513,430 ( Pakistan Telecommunication Authority ) . The acceptance of cell phones by immature coevals has been a planetary phenomenon in recent old ages. It has become an built-in portion of stripling s day-to-day life and has become one of the most popular signifiers of communicating. In today s universe about every pupil is holding cell phone in their pocket, clipped to a belt, or hidden in a brief instance or bag and knows perfect use of it. As engineering is turning every twenty-four hours at really fast rate, and is conveying positive and negative effects for society and so is with cell phone engineering that has brought both positive and negative effects. It is normally observed that these cell phones have besides become position symbol for young person and they have indulged themselves in the competition of holding best and most updated cell phone with maximal characteristics. Today s young person prefer cell phones more every bit compared to internet or any other societal activity. Young people ain cell phone and besides want to upgrade it every bit shortly as new theoretical account is launched in the market. Cell phones are that much involved in our life that the individual who own cell phone is tend to be thought socially connected, independent, modern and in demand by the society. One of the most used applications of cell phones by our immature coevals is text messaging and these cellular web companies have besides played a critical function in negatively impacting our immature coevals by presenting a figure of bundles for text messaging and calls besides. Students of today are maestro in fastest text messaging and are seen text messaging piece at place, at university, going, in schoolroom and specially while analyzing. Communication with fellow pupils, professors, parents, and everyone else is merely a click off. Most of the pupils use it for chew the fating with friends. This research paper explores the impact of cell phones` use on pupils academic public presentation. We examined the consequence of nomadic use on the classs among university pupils. Literature Review Cell phones and academic public presentation: The innovation of cell phone has brought radical alteration in the universe. And therefore bought alteration in the life style of people utilizing it including pupils. In 2005, the figure of cell phone endorsers worldwide will make 2 billion ( Deloitte Research, 2005 ) . And in Pakistan entire fixed phone endorser by December 2011 reached to merely 3,098,117, less than nomadic phone endorser that were 120,151,253 boulder clay December 2011 ( Pakistan Telecommunication Authority ) . Surveies have systematically shown that cell phone is used and loved more than telecasting or cyberspace by pupils, whether they are utilizing cyberspace or watching telecasting they are holding cell phone in their custodies. Through common observation we besides evaluated that pupils need to return to their place if they forget to take it with them. Therefore with the outgrowth of this engineering about everyone has tried to follow these cell phones and are addicted to its use that they think their work d one become hard without its services and they are unable to remain connected with their friends and household. The chief issue for instructors is the perturbation created in category room due to cell phone calls and texting. Uniting this with the easiness of concealing the device due to its little size, makes it really hard for instructors to command it. Students are excited to happen out that who has called and what the message is, immature people are loath to turn off their cell phone during category clip. Normally pupils kept their devices on during talks with themselves and besides sometimes bury to turn profile silent during category and its tintinnabulation create perturbation in category. Campbell ( 2006 ) found that pupils and module view the tintinnabulation of cell phone in category to be a serious job. It is clear that if pupils spend clip texting, they will non be able to pay attending to category talk, will non be able to understand the subject and will non be able to bring forth good consequence in category, this will hold impact on their class points. Through common observation it is observed that today pupils are busy with this engineering, spends 90 % of their clip with cell phones and do nt pay attending to their surveies. And if they pretend to their parents that they are analyzing in their room, they are really dodging their parents, it is such a little device that they can easy conceal them and lie with their parents. Students are seeking to do as many friends whether miss or male child as they can, maintaining themselves busy all twenty-four hours and dark, as these web companies for their ain net income have introduced a tonss of inexpensive bundles fo r call and messaging. All these activities in which pupils have engaged themselves in today s universe are pulverizing their present and future. After explicating negative facet there are some positive impact besides, it helps pupils to remain connected with their group members when assigned some group work from their instructor and can besides reach their instructors in clip of holding any trouble sing their assignments. In school it besides helps teacher to state their parents about any serious job happened to the pupils and besides helps teacher to text their parent if they are absent from school. Students are supposed to utilize nomadic phones whole dark texting their friends. It is interesting to observe that there are few common household regulations about immature people s usage of the cell phone. In fact, many striplings ( 58 % ) reported that there were no regulations set by their parents about their cell phone usage and merely 12 % reported that their parents used remotion of their cell phones from them as penalty ( Metthews, 2004 ) . Probably because of the kiping issue it has been found that parents have to take cell phone from their kids at dark while traveling to kip. Some reported that parents had to inquire their kids to halt utilizing phone at dark as so pupils are unable to wake up early in the forenoon for their university, school or college or they feel sleepy during category and make non pay proper attending. Along with academic public presentation cell phones have besides positively and negatively affected societal relationships. With the outgrowth of nomadic phones persons are able to remain connected with their friends, household and relatives populating abroad. In add-on to maintaining up with societal relationships, persons have besides been able to increase productiveness with their work because they can be 100s of stat mis off from the office, and still have instant entree to their e-mail, paperss and contacts wherever they are ( Tully, 2003 ) . A tendency that is going more evident is present absences ; this is the construct of how an person s presence in a societal scene alterations irrespective of their physical presence, they are merely half-present ( Fortunati 2008 ) . Persons go toing any meeting with their friends, coworkers, foreman or any type of societal activity, they leave that topographic point during conversation every bit shortly as their cell phone rings or vibrate. Even when sitting with their parents they do non waver to travel in front and reply the call without believing that this could ache them. Through observation, research workers have found that persons typically will non waver to disrupt an on-going conversation to reply the tintinnabulation of their cell phone. Cell phones have given a new manner to persons to organize new relationships and to beef up bing 1s. Teenss admitted passing about an equal sum of clip speaking as they do texting each month. The characteristic is so of import to them that if texting was no longer an option, 47 per centum of teens say their societal life would stop or be worsened particularly among females ( 54 per centum compared to 40 per centum of males ) ( CTIA Survey 2008 ) . Before the outgrowth of nomadic engineering, persons have regular interaction with one another. As they have really small telephonic contact with one another so they are used to see each other places on a regular basis. Even if any one of the household member is in infirmary, their loved 1s even if out of metropolis make a visit immediately or the following twenty-four hours but now with the outgrowth of cell phones people are supposed to merely inquire about their wellness on phone call with their cell phones. Cell phones besides create a factor of safety among parents. Parents feel satisfied if their kids are holding cell phone with them while traveling outside as they can reach them whenever they want. Even in the clip of exigency they can name them. Not merely parents can reach their kids in the clip of trouble but kids can besides reach them in exigencies. But kids besides sometime misapply this device by stating prevarication to their parents and making whatever they want to make outdoors, as their parents are satisfied with their prevarication. On the other side this device along with disadvantages has helped kids and parents both to remain in contact when outside their place. As everything in this universe have advantages and disadvantages both and it is upon us how we utilize it. Hypothesis Cell phones` use will hold a negative consequence on students` academic public presentation. Model Cell phone use Academic public presentation Methodology The information was collected by administering questionnaire to pupils of different universities in Pakistan with the ages runing between 18 and 30. A sample size of 150 pupils was taken in which 65 respondents were male and 85 respondents were female. The study consisted of 24 inquiries, including cell phone impacts on pupils academic public presentation and societal relationship. Multiple pick inquiries were asked. The dependability of the instrument was calculated by utilizing SPSS. The instrument was personally administered to the sample. Demographic information ( e.g. , age, gender, university, grade, GPA ) was besides collected. Consequences After successfully roll uping the informations through distributing questionnaires in different universities of Rawalpindi and Islamabad, we have inserted that informations in SPSS package informations sheet and run desired maps necessary to cognize that what impact does independent variable ( cell phone use ) have on dependant variable ( pupils academic public presentation ) . We have evaluated pupils academic public presentation by sing their Grade point average. From the correlativity consequences as shown in TABLE 1, we have find that cell phone use is holding negative impact on pupils GPA i.e. ( r= -0.303, P lt ; 0.01 ) . We besides come to cognize that age and GPA is besides negatively related with each other i.e. ( r= -0.154, P lt ; 0.01 ) . The Cronbach s Alpha dependability for this graduated table is 0.688. For ciphering Cronbach s Alpha we have besides reversed the graduated table of inquiry 2, 3 and 6. Table 1 Correlation Consequences M S.D 1 2 3 4 Age 21.487 1.8672 1 Gender 1.58 0.49521 -0.184* Cell phone use 3.267 0.4512 0.045 -0.149 1 GPA 1.9911 0.57583 -0.154 0.246** -0.303** 1 ** . Correlation is important at the 0.01 degree ( 2-tailed ) . * . Correlation is important at the 0.05 degree ( 2-tailed ) . Table 2 Arrested development Consequences Predictor Academic public presentation ( GPA ) I? I† Sig. Measure 1 Age -0.27 0.164 Gender 0.205 0.006 Measure 2 Age -0.26 0.167 Gender 0.169 0.020 Cell phone use -0.212 0.072 0.001 The tabular array 2 shows the arrested development consequence of dependant and independent variable. In measure 1 control variables i.e. age, gender is shown and in measure 2 independent variable i.e. cell phone use is shown. In horizontal line we have dependent variable i.e. academic public presentation measured utilizing pupils GPA. The fluctuation in pupils academic public presentation ( GPA ) due to cell phone use is 7.2 % . The impact of cell phones use on pupil academic public presentation is negative i.e. ( I? = -0.212 ) . This implies that the pupil whose use of cell phone is more is holding low GPA i.e. demoing hapless academic public presentation. Discussion In this research paper we have evaluated that what impact pupils cell phone use has on their academic public presentation by sing their GPA. Students age and gender is besides taken into history while running analysis utilizing SPSS. Cell phone use is taken as independent variable and pupils academic public presentation is taken as dependent variable. Questionnaires are given to be filled by pupils of different universities in Rawalpindi and Islamabad between the age of 18 and 30. The information collected is analyzed by utilizing SPSS package and evaluated the impact of cell phones use on pupils academic public presentation. The consequence shows that cell phones use is negatively impacting pupils academic public presentation. This means that the pupils who are utilizing cell phone more are holding low GPA. On inquiring inquiries on how much clip they spend on utilizing their cell phone and in how many categories they use cell phone, we have found that there is negative relationship of these two inquiries with pupils GPA. That is the pupils who are utilizing cell phone about 7-10 hours and those besides who use cell phone during their most of the categories are holding low GPA. On inquiring random inquiries we have found that one of the most used characteristic of cell phone is text messaging used by 67 % pupils ( female 37 % and male 30 % ) . Almost 81 % pupils ( female 46 % , male 35 % ) are utilizing standard text messages as compared to multimedia messages or other. 43 % pupils ( 31 % female and 13 % male ) say that they put their nomadic phone on soundless manner while go toing category. 35 % pupi ls ( 20 % female and 15 % male ) say that they on occasion receive or send text messages while the category was in session. 55 % pupils ( 35 % female and 20 % male ) agree on policy that Mobile should be kept by pupils but they should put it in quiver manner. 61 % pupils ( 40 % female, 21 % male ) say that they do non utilize dark bundles on their cell phone. 42 % pupils ( 23 % female, 19 % male ) say that they use twenty-four hours bundles on their cell phone. 67 % pupils ( 39 % female, 27 % male ) say that they spent 10 % of their pocket money on cell phones. 56 % pupils ( 32 % female, 24 % male ) say that they sometimes use their cell phone while making their assignments. As consequences show that those pupils who spend most of their clip on cell phone are accomplishing low GPA, which is in conformity with the literature and common observation. Students are utilizing their cell phone during category, they are besides having and directing text messages during their category so they will be able to pay less attending to talk and therefore it will hold negative impact on pupils public presentation. Some pupils are besides utilizing dark bundles on their cell phone which will do them unable to be attentive in their forenoon category or may be unable to go to the first category. It is better to trip missed call qui vive on their cell phone and put it off during category and when they will on it they will have message of all the calls they missed when the cell phone was away. In last reasoning all cell phone use is significantly impacting our young person who are misapplying this engineering, and therefore demoing hapless academic public presentation and p ulverizing their calling chances.

Economics Research Paper Example | Topics and Well Written Essays - 250 words - 4

Economics - Research Paper Example The acquisition of this form of knowledge depends on the owners of business processes, as they are the only entities with the ability to evaluate and quantify the financial, operational and regulatory consequences of disruptions. The effects in reputation have remained difficult to calculate precisely and accurately. An elaborate analysis of information security risks should reflect the manner in which operations are affected and the manner in which time affects this impact since this is hardly ever a linear function (Kairab, 2005). For instance, a service interruption that last for ten minutes may have negligible ramifications while a similar service interruption or breach that last for a longer time may have catastrophic effects on a business or a company. Information risk definition and quantification is founded on accessible and dependable data that is evaluated by people who are conversant with particular information security processes, they enable the assessment of the effects in a reasonable

Emergency Mitigation Coursework Example | Topics and Well Written Essays - 250 words

Emergency Mitigation - Coursework Example The plans should have a wide scope of coverage; they should be applicable to as many situations as possible. A good plan should identify possible sources of emergencies and their associated counteractive measures (Martin, 2006). Emergency mitigation plans should be sensitive to the available resources. It should recognize the financial capability of a particular region. A good mitigation should be able to respond rapidly. An emergency planner should carry out a survey of Tampa region to assess the required measures in an emergency mitigation plan. There are successful mitigation plans in other parts of the world that a planner can use (Martin, 2006). Some of the successful plans have been executed during emergency occurrences. Emergency mitigation plans should be relevant; a plan for another city would not necessarily be effective in Tampa. A good plan should take care of daily activities that take place in

Contribution Of Rene Descartes To Mathematics Philosophy Essay

Contribution Of Rene Descartes To Mathematics Philosophy Essay Rene Descartes was born on March 31, 1596, in the magnificent city of the south of France (Touraine, France). Joachim Descartes his father was a councilor of Congress and intelligence, and ensured that Descartes was provided an excellent environment for learning. In 1606, when Descartes reached an age of 8 years, was admitted to Jesuit College of Henry IV, where he studied literature, grammar, science and mathematics for eight years. He was usually and critically unhealthy and was allowed to stay in bed late each morning. However, he studied the classics, logic and philosophy. In all Descartes just found mathematics is satisfactory to the truth of natural science. In 1614, he left the university to study civil and canon law at Poitiers. In 1616, he received his baccalaureate and licentiate titles. The degrees outside it, Descartes also spent time studying philosophy, theology and health. Descartes spent several years studying mathematics in Paris with friends, as Messene. Over time, a man for this type of education or enlist in the army or the church. Descartes decides to enlist in the army of a nobleman in 1617. During the service, with some geometric issues Descartes, a problem that had become a challenge for everyone to solve. Descartes solved it in only a few hours. Later, he met a man named Isaac Holland Beckman a scientist that became a friend of Descartes. Shortly after he took power in mathematics, the tasks is in the army would be unacceptable to him. However, he was still in the army under the influence of family and tradition. In 1621, Descartes give up the army and traveled extensively for doing researches in pure mathematics. Then he settled in Paris in 1626, he found the construction of the optical (eye) Instruments. Finally, in 1628, became the researcher for truth about the natural sciences. During this period, he moved to the Netherlands. He continued to live in there for over twenty years. During this period, Descartes published his first meditations philosophy. None other than his own work, he discovered his famous phrase I think then I exist. It could be used to cause the complex ideas of the universe in the simple idea thats true. So Descartes continued his work in mathematics. In 1638, the geometric aspect of Descartes became famous in the history of mathematics, as he did the invention of analytic geometry. Although this work has been done before by other mathematicians and the history of mathematics, introduces the theory Descartes Identify a point in a plane of pairs of real numbers (ordered pairs). This is called Cartesian delta. In 1649, Queen Descartes invited to Sweden to work in mathematics. It is said that the Queen wants to work in mathematics in the early morning hours. So Descartes must wake up early to go to the palace. Due to the cold climate, they developed pneumonia after only a few months and died on February 11, 1650. Contribution to Mathematics: Descartes has made many notable and famous contributions to mathematics. In 1618, when Descartes travelled to Holland to finally settle there, he met a thirty year-old student of medicine, Isaac Beeckman, after next few weeks. This new friend of Descartes was astonished at capability of Descartes at maths. Over the next few weeks Descartes showed Beeckman the following facts: How to apply algebra and mathematics to many problems. Mathematics could be applied to a more precise spacing and tuning of lute stings, Proposed algebraic formula to determine the raise in water level when a heavy object was placed in water. Drew a geometric graph that showed how to predict the accelerating speed of a pencil falling in a vacuum at any time during a two hour period. How a spinning top stays upright and how this could be used to help man become airborne. By the end of 1618, Descartes was already applying algebraic equations to solve geometric problems. It was then, not later as many sources say, that he invented analytical geometry. Descartes attempted to provide a philosophical foundation for the new mechanistic physics that was developing from the work of Copernicus and Galileo. He divided all things into two categories-mind and matter-and developed a dualistic philosophical system in which, although mind is subject to the will and does not follow physical laws, all matter must obey the same mechanistic laws The philosophical system that Descartes developed, known as Cartesian philosophy, was based on skepticism and asserted that all reliable knowledge must be built up by the use of reason through logical analysis. Cartesian philosophy was influential in the ultimate success of the Scientific Revolution and provides the foundation upon which most subsequent philosophical thought is grounded. Descartes published various treatises about philosophy and mathematics. In 1637 Descartes published his masterwork, Discourse on the Method of reasoning well and Seeking Truth in the Sciences. In Discourse, Descartes sought to explain everything in terms of matter and motion. Discourse contained three appendices, one on optics, one on meteorology, and one titled La Gà ©ometrie (The Geometry). In La Gà ©ometrie, Descartes described what is now known as the system of Cartesian Coordinates, or coordinate geometry. In Descartess system of coordinates, geometry and algebra were united for the first time to create what is known as analytic geometry. Many of his contributions to mathematics are: Cartesian coordinate system Fibred category Cartesian product Defect (geometry) Descartes rule of signs Descartes theorem Analytic geometry Pullback Theorm Cartesian Coordinate System: History: The idea of this system was developed in 1637 with two works by Descartes and independently by Pierre de Fermat, although Fermat used three-dimensional and unpublished findings. In the second part of his lecture method, Descartes introduces the new idea of determining the location of a point or object on the surface, using two intersecting axes as measuring guides. La Geometrie, he continued to explore the concept mentioned above. It might be interesting to note that some people have pointed out that the masters of the Renaissance used a grid, in the form of a mesh, as a tool to break the constituent parts of their subjects, they add color. Descartes may affect only speculate. (See opinion, radiation geometry.) Development of the Cartesian coordinate system enabled the development of the calculation of Isaac Newton and Gottfried Wilhelm Leibniz. Nicole Oresme, a 14th century French philosopher, construction similar to using Cartesian coordinates before the time of Descartes. Many other coordinate system is developed for Descartes, as the plane polar coordinates and the spherical and cylindrical coordinates three-dimensional space. Listen Read phonetically Dictionary View detailed dictionary Introduction: A Cartesian coordinate system specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances from the point to two fixed perpendicular directed lines, measured in the same unit of length. Each reference line is called a coordinate axis or just axis of the system, and the point where they meet is its origin. The coordinates can also be defined as the positions of the perpendicular projections of the point onto the two axes, expressed as a signed distances from the origin. Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2,3) in green, (à ¢Ã‹â€ Ã¢â‚¬â„¢3,1) in red, (à ¢Ã‹â€ Ã¢â‚¬â„¢1.5,à ¢Ã‹â€ Ã¢â‚¬â„¢2.5) in blue, and the origin (0,0) in purple. One can use the same principle to specify the position of any point in three-dimensional space by three Cartesian coordinates, its signed distances to three mutually perpendicular planes (or, equivalently, by its perpendicular projection onto three mutually perpendicular lines). In general, one can specify a point in a space of any dimension n by use of n Cartesian coordinates, the signed distances from n mutually perpendicular hyper planes. Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is x2 + y2 = r2. The invention of Cartesian coordinates in the 17th century by Renà © Descartes revolutionized mathematics by providing the first systematic link between Euclidean geometry and algebra. Using the Cartesian coordinate system, geometric shapes (such as curves) can be described by Cartesian equations: algebraic equations involving the coordinates of the points lying on the shape. For example, a circle of radius 2 may be described as the set of all points whose coordinates x and y satisfy the equation x2 + y2 = 22. Cartesian coordinates are the foundation of analytic geometry, and provide enlightening geometric interpretations for many other branches of mathematics, such as linear algebra, complex analysis, differential geometry, multivariate calculus, group theory, and more. A familiar example is the concept of the graph of a function. Cartesian coordinates are also essential tools for most applied disciplines that deal with geometry, including astronomy, physics, engineering, and many more. They are the most common coordinate system used in computer graphics, computer-aided geometric design, and other geometry-related data processing. Cartesian formulas for the plane: Distance between two points The Euclidean distance between two points of the plane with Cartesian coordinates (x1,y1) and (x2,y2) is This is the Cartesian version of Pythagoras theorem. In three-dimensional space, the distance between points (x1,y1,z1) and (x2,y2,z2) is Which can be obtained by two consecutive applications of Pythagoras theorem? Fibred category: Introduction: Fibred categories are complex entities in mathematics is used to provide a general framework for the first theory. They are formalized in different situations and algebraic geometry, where the reverse image (or pull-backs) the objects as vector bundles can be determined. For example, for every topological space can be eliminated in the vector space, and for all continuous maps from a topological space X into a topological space Y is a combination of functional bundle bundle the pullback of Y type of system X . physique goals include normalization and contrast image functors. Same settings appear in various guises in mathematics, especially algebra, geometry, that is the context in which the body of the type originally appeared. Fibrations also plays an important role in the theory of category classification and theoretical computer science, especially in the theoretical model depends Cartesian product: Introduction: In mathematics, a Cartesian product (or product set) is the direct product of two sets. The Cartesian product is named after Renà © Descartes, whose formulation of analytic geometry gave rise to this concept. Specifically, the Cartesian product of two sets X (for example the points on an x-axis) and Y (for example the points on a y-axis), denoted X ÃÆ'- Y, is the set of all possible ordered pairs whose first component is a member of X and whose second component is a member of Y (e.g., the whole of the x-y plane): [2] For example, the Cartesian product of the 13-element set of standard playing card ranks {Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2} and the four-element set of card suits {à ¢Ã¢â€ž ¢Ã‚  , à ¢Ã¢â€ž ¢Ã‚ ¥, à ¢Ã¢â€ž ¢Ã‚ ¦, à ¢Ã¢â€ž ¢Ã‚ £} is the 52-element set of all possible playing cards: ranks ÃÆ'- suits = {(Ace, à ¢Ã¢â€ž ¢Ã‚  ), (King, à ¢Ã¢â€ž ¢Ã‚  ), , (2, à ¢Ã¢â€ž ¢Ã‚  ), (Ace, à ¢Ã¢â€ž ¢Ã‚ ¥), , (3, à ¢Ã¢â€ž ¢Ã‚ £), (2, à ¢Ã¢â€ž ¢Ã‚ £)}. The corresponding Cartesian product has 52 = 13 ÃÆ'- 4 elements. The Cartesian product of the suits ÃÆ'- ranks would still be the 52 pairings, but in the opposite order {(à ¢Ã¢â€ž ¢Ã‚  , Ace), (à ¢Ã¢â€ž ¢Ã‚  , King), }. Ordered pairs (a kind of tuple) have order, but sets are unordered. The order in which the elements of a set are listed is irrelevant; you can shuffle the deck and its still the same set of cards. A Cartesian product of two finite sets can be represented by a table, with one set as the rows and the other as the columns, and forming the ordered pairs, the cells of the table, by choosing the element of the set from the row and the column. Basic properties Let A,B,C, and D be sets. In cases where the two input sets are not the same, the Cartesian product is not commutative because the ordered pairs are reversed. Although the elements of each of the ordered pairs in the sets will be the same, the pairing will differ. For example: {1,2} x {3,4} = {(1,3), (1,4), (2,3), (2,4)} {3,4} x {1,2} = {(3,1), (3,2), (4,1), (4,2)} One exception is with the empty set, which acts as a zero, and for equal sets. and, supposing G,T are sets and G=T: Strictly speaking, the Cartesian product is not associative. The Cartesian Product acts nicely with respect to intersections. Notice that in most cases the above statement is not true if we replace intersection with union. However, for intersection and union it holds for: and, n-ary product The Cartesian product can be generalized to the n-ary Cartesian product over n sets X1, , Xn: It is a set of n-tuples. If tuples are defined as nested ordered pairs, it can be identified to (X1 ÃÆ'- ÃÆ'- Xn-1) ÃÆ'- Xn. Defect (geometry): Introduction: In geometry, the defect (or deficit) means the failure of some angles to add up to the expected amount of 360 ° or 180 °, when such angles in the plane would. The opposite notion is the excess. Classically the defect arises in two ways: the defect of a vertex of a polyhedron; the defect of a hyperbolic triangle; and the excess arises in one way: the excess of a spherical triangle. In the plane, angles about a point add up to 360 °, while interior angles in a triangle add up to 180 ° (equivalently, exterior angles add up to 360 °). However, on a convex polyhedron the angles at a vertex on average add up to less that 360 °, on a spherical triangle the interior angles always add up to more than 180 ° (the exterior angles add up to less that 360 °), and the angles in a hyperbolic triangle always add up to less than 180 ° (the exterior angles add up to more than 360 °). In modern terms, the defect at a vertex or over a triangle (with a minus) is precisely the curvature at that point or the total (integrated) over the triangle, as established by the Gauss-Bonnet theorem. Descartes rule of signs: Introduction: In mathematics, Descartes rule of signs, first described by Renà © Descartes in his work La Gà ©omà ©trie, is a technique for determining the number of positive or negative real roots of a polynomial. The rule gives us an upper bound number of positive or negative roots of a polynomial. It is not a deterministic rule, i.e. it does not tell the exact number of positive or negative roots. Positive Roots The rule states that if the terms of a single-variable polynomial with real coefficients are ordered by descending variable exponent, then the number of positive roots of the polynomial is either equal to the number of sign differences between consecutive nonzero coefficients, or less than it by a multiple of 2. Multiple roots of the same value are counted separately. Negative Roots As a corollary of the rule, the number of negative roots is the number of sign changes after negating the coefficients of odd-power terms (otherwise seen as substituting the negation of the variable for the variable itself), or fewer than it by a multiple of 2. Descartes theorem: Introduction: In geometry, Descartes theorem, named after Renà © Descartes, establishes a relationship between four kissing, or mutually tangent, circles. The theorem can be used to construct a fourth circle tangent to three given, mutually tangent circles. Descartes theorem If four mutually tangent circles have curvatures ki (for i  =  1,  ,  4), Descartes theorem says: (1) When trying to find the radius of a fourth circle tangent to three given kissing circles, the equation is best rewritten as: (2) The  ± sign reflects the fact that there are in general two solutions. Ignoring the degenerate case of a straight line, one solution is positive and the other is either positive or negative; if negative, it represents a circle that circumscribes the first three (as shown in the diagram above). Other criteria may favor one solution over the other in any given problem. Analytic Geometry: Introduction Analytic geometry has two different meanings in mathematics. Except for the section Modern analytic geometry, this article treats the classical and elementary meaning, which is a synonym of coordinate geometry. The modern and advanced meaning refers to the geometry of analytic varieties, whose object is sketched in Section Modern analytic geometry, below. Cartesian coordinates. Analytic geometry, also known as coordinate geometry, analytical geometry, or Cartesian geometry, is the study of geometry using a coordinate system and the principles of algebra and analysis. This contrasts with the general approach of Euclidean geometry, which holds a number of geometric concepts as primitives, and use deductive reasoning based on axioms and theorems get the facts. Analytical geometry is the foundation of most modern areas of geometry, including algebraic geometry, differential geometry and discrete geometry and calculations, and are widely used in physics and engineering. Usually the Cartesian coordinate system is applied to manipulate the equations for planes, lines, and square, often two and sometimes three-dimensional measurement. Geometry, a study of the Euclidean plane (14:00) and Euclidean space (15:00). As taught in textbooks, geometry analysis can be explained more simply: it is concerned with defining a geometric shape and get some information from a representative of that. The digital outputs, however, might also be a vector or a shape. That the algebra of the real numbers can be employed to yield results about the linear continuum of geometry relies on the Cantor-Dedekind axiom. Pullback (category theorem): Introduction In category theory, a branch of mathematics, a pullback (also called a fiber product, fibre product, fibered product or Cartesian square) is the limit of a diagram consisting of two morphisms f  : X  Ãƒ ¢Ã¢â‚¬  Ã¢â‚¬â„¢Ã‚  Z and g  :  Y  Ãƒ ¢Ã¢â‚¬  Ã¢â‚¬â„¢Ã‚  Z with a common codomain; it is the limit of the cospan . The pullback is often written