Mathematically Modelling Basketball Shots Essays

Mathematically Modelling Basketball Shots Essays Mathematically Modelling Basketball Shots Essay Mathematically Modelling Basketball Shots Essay The manager of a professional basketball team is having a tough decision in choosing which of his two top scorers this season are better at free-throw shots. The final decision will go towards picking the team for Saturdays Cup Final match. On a training session one week before the match the coach decides to go all out and bring some mathematical genii in to model a situation where Lee Grimes and Dominic Aspbury, the goalscorers, will shoot at the basketball net. The mathematical genii are students from Cambridge and are benefiting from this opportunity in that they will be able to show evidence of coursework for their final exam. Their coursework will be using their abilities to collect data and test the appropriateness of a probability model on a real situation whilst the coachs aim will be to pick the better of the two players for the big game. If the random variables X and Y count the number of independent trials before the event, having a probability p, occurs then X and Y have geometric distributions: P ( X = r ) = q r 1 p where r = 1,2,3, X~G ( p ) and Y~G ( p ) I will define X as being the number of shots required before Lee shoots a basket. Therefore, Y is defined as the number of shots required before Dom shoots a basket. I will be attempting to see if X and Y have geometric distributions by taking samples of X and Y. The populations are the infinite range of shots capable from the two throwers taken in a discrete time period under varied conditions at the same level of skill. This is impossible to create so the coursework will have to involve sampling, therefore not producing results representative of the whole population. For this coursework I can not take random samples because it will not be possible to recreate due to the infinite choices of shot which could occur e.g. fatigue levels, mood type, improvement of skill level throughout the sampling etc. all could differ. I will record a sample of X by asking Lee to shoot a number of baskets and hence work out the relative frequency of success p. This result will allow me to model X as X~G ( p ) . Next I will record a sample for Y by asking Dom to shoot a number of baskets so that another value for the relative frequency of success p can be calculated. I can use the result to model Y as Y~G ( p ) . The conditions I will have to use are going to be as similar as possible to gain independent and identical shots. This will involve: * Five practice shots beforehand so that the feel of shooting is apparent a warm up before starting. * The shots being taken from the same free-throw position which is fifteen feet away from the base of the net and perpendicular to the back line. * The same type of shot being used using one hand to steady the ball and one to project the ball through the air. Same arms used each time. * The weather conditions being similar. In the sports hall there should be no significant alteration of the environment. * Each shot being taken one after the other to gain results, which will be under the most similar conditions. * When the shot is taken; a score implies one basket, a no score implies try again until you succeed. * Continue until the sample of eighty is reached and record all results If the data is successful I may be able to produce a reliable geometric model of the population from the sample enabling me to predict population parameters with greater confidence. Using the parameters I should be able to compare the populations by considering sample parameters. I have chosen a geometric model because it is an infinite distribution requiring discrete random variables and is able to accommodate the infinite range of shots that may be required to score a basket. The sum of all the probabilities will equal one (a probability density function). If X and Y have a geometric distribution, the distribution should look like this: The sample size shall be 80 as a large sample size makes the geometric distribution as accurate as possible for testing purposes. It also allows me to use the chi squared test on the model to check if there is any evidence to suggest that one thrower is better than the other at various critical levels. Assumptions that I am making to allow the model to work are that the trials are: * Identical: The factors are exactly the same. This provides a fair test and is a property of the geometric distribution. * Independent: The trials are not affected by the previous trial. The geometric model states that the events must be independent. No distribution could possibly account for the infinite amount of variables/influences that could occur e.g. improving skill as more shots are scored, fatigue etc. The variable would be different in each case. The five practice shots will make the distribution more geometric as it will warm up the performer beforehand so that they get used to the feel of shooting. * Have two outcomes score a basket or no score. * Repeated to gain the sample size Modelling the situation with a geometric distribution Let X be the number of attempts before a basket is scored for Lee: Probability of scoring a basket: P(score) = sample size/total number of shots = 80/269 = 0.2973977695 This implies X~G( 0.297 ) X can be modelled as a geometric distribution with a probability of scoring first time equal to 29.7% (1 d.p.) Finding Prob(X=r) Therefore P (no score) = 1 P (score) = 1- 0.2973977695 = 0.7026022305 Using the formula: P(X = r) = qr-1p where r = 1, 2, 3: q = probability of not scoring p = probability of scoring P( X = 2) = 0.7026022305 x 0.2939776957 = 0.2065493847 P( X = 3) = 0.7026022305(3-1) x 0.2939776957 = 0.14512205844 Finding Expected Frequency Expected Frequency for (X = r) = Prob (X=r) x sample size Therefore Expected Frequency for (X = 1) = 0.2973977695 x 80 = 23.791821 Expected Frequency for (X = 2) = 0.2065493847 x 80 = 16.7161869 Let Y be the number of attempts taken before a basket is scored for Dom: Probability of scoring a basket: P(score) = sample size/total number of shots = 80/345 = 0.231884058 This implies Y~G ( 0.232 ) Y is geometric with a probability of scoring first time equal to 0.232 (3 d.p.). This result states also that there is a 23.2% chance of scoring on the first attempt and I aim to model these results by a geometric distribution. Therefore P(no score) = 1 0.231884058 = 0.768115942 Therefore for Dom: P (Y = 2) = 0.768115942 x 0.231884058 = 0.1781138416 P (Y = 3) = 0.768115942(3-1) x 0.231884058 = 0.1368120813 Expected Frequencies will be: (Y = 1) = 0.231884058 x 80 = 18.55072464 (Y = 2) = 0.1781138416 x 80 = 14.24910733 Chi Squared Distribution The chi-squared distribution can be applied to measure the goodness of fit for the geometric models. It will examine the goodness of the model by considering the number of possible outcomes of the events and will analyse the validity of the assumptions. Thevalue will be expected to be small to suggest that the model fits the real distribution. A large value would suggest that the model is unlikely to be correct so I will use a 10% critical region to test it. * If thevalue lies within the critical region then, assuming the model is correct, it would mean that there is less then 10% chance of a result as high as this occurring. We reject the model as a consequence and conclude insufficient sampling etc. * Alternatively, if the value lies outside the critical region, the result is valid and there is a larger possibility of the value being what it is. The model is assumed to be correct and the model is accepted. Conclusion would be to state that the statistical model is appropriate to the situation and the assumptions are correct. In the tables, the expected and observed frequencies were calculated but how close together are the values? The closer the observed value to the expected value the more accurate the geometric model will be. The goodness of fit statistic is: where O = Observed Frequency E = Expected Frequency To find the best measure of goodness of fit, add up all values for each statistic and compare with the 2 probability distribution tables. The chi squared test should only be used if the expected frequency of a cell is more than five which means some of the groups are going to have to be combined. This enables the chi-squared distribution to be better approximated. The total frequency of expected frequencies should also be over 50. This makes the chi squared test work at a more accurate level. Lees chi squared test Using the equation : As we can see by the result = 7 To analyse the result with the chi squared test the number of degrees of freedom have to be established following this procedure: Degrees of Freedom = Number of Cells Number of Constraints In Lees table there are seven cells. The number of constraints is two because: o A sample size of eighty is one constraint: The sample has to be eighty. o The probability is another constraint: The mean of the model has to equal the mean of the data so we used the data to work this value out. * Therefore: Degrees of Freedom = 7 2 = 5 * at 10% critical level i.e. prob ( ) = 0.9 * but observed value of = 7.478504913 * 7.478 is less than 9.236 * therefore, the value is not in the critical region (result taken from probability distribution table) The value is not in the critical region implying the model is significant enough to use. Lees results fit into the geometric distribution model and therefore it is a good model for Lees data. There is evidence to suggest that the assumptions are true and therefore we accept the assumptions as part of the geometric model. See graph above for explanation of what the results show. Doms Chi Squared Test Using the equation : As we can see by the result = 5.694287179 * Degrees of Freedom = 8 2 = 6 * at 10% critical level i.e. prob ( ) = 0.9 * but observed value of = 5.694287179 * 5.694 is less than 10.645 * therefore, the value is not in the critical region (result taken from probability distribution table) Doms results fit into the geometric model, as the value is not in the critical region of 10%. We can assume that the geometric model was a good model to use for his results. We can again accept the assumptions as there is no evidence to suggest they do not fit into the geometric distribution. See graph above for an explanation of what the results shows. Both results are comfortably in the geometric distribution proving that they are reliable results/models and the assumptions made are valid. We can adapt Doms model so that five degrees of freedom can be used giving the same accuracy as Lees result. I am predicting that it wouldnt affect the results because there would need to be a dramatic increase in the value for it to be of any significance. Both performers have had their results analysed at the same number of degrees of freedom and there was no significant difference. It shows no alteration for the final conclusion and still no evidence is available to reject the models. Both results have shown X and Y can be modelled by the geometric distribution. By knowing this I could produce confidence intervals for any parameters I estimate from the distributions. However at this stage I will calculate the relevant parameter for this piece of coursework. I will estimate the expected number of shots required by Lee and Dom to score a basket. Expected Mean Values To find out the expected mean value for a geometric distribution it is defined as the sum to infinity of: all the probabilities, which are multiplied by the value of X (in Lees case), Y (in Doms case). This can be simplified conveniently to 1/p where p is the probability of scoring when X = 1 For Lee the expected mean value would be E[X] = = 3.3625 (4 d.p.) For Dom the expected mean value would be E[Y] = (4 d.p.) These results demonstrate the average amount of shots it takes until the performer scores. Lee, having a lower expected mean value than Dom, is shown to be the better free-thrower as he takes an average of approximately three shots to score, unlike four shown in Doms case. The total number of shots can be a very rough indicator of who seems to be the better free thrower. Lee took 269 shots and Dom accomplished 345 shots to score 80 baskets. Does this imply that Lee is more accurate? According to the expected mean values and the probabilities of scoring for each model it reinforces Lees success where all three tests are in his favour. There is a much higher chance now of Lee being picked for the game on Saturday. A factor of the investigation was whether taking constant shots at the basket improved performance. This may happen because training has occurred and the brain is learning from past mistakes. The question being asked is, were the five practice shots enough practice to enable an independent model to be produced or should it not have occurred? Raw data results were recorded in two stages; first 40 and second 40 and it suggests small decreases in many of the cells for 2nd 40 especially in Doms case. Lower values of X or Y become more frequent in the 2nd 40. This complicates results and so is a factor to consider if the coursework is completed again. The decreases in the higher X or Y values and the increases in the smaller X or Y values suggest evidence of fatigue, boredom, frustration etc. I can say now that skill level did not increase during the collection of the sample size but what is more likely to have occurred is the opposite. The explanation for Dom being more tired, bored or frustrated is probably because he shot a total of 345 baskets whereas Lee completed his in 269 shots. Two parent populations (X and Y) have been tested against geometric probability models and it so happens that they fit very snugly into them. Therefore, we can apply the knowledge that counting the amount of times before a basket is scored is modelled very well using a geometric distribution. There may be only two populations but they both show noticeable differences in their results and remain well within the statistical model. I will assume that it is highly probable for most other populations to fit into the geometric distribution on the basis that my models are very appropriate for the investigation. I have modelled the basketball situation in a real life atmosphere and the model was successful. Even though the situation is based on a theoretical distribution it was modelled appropriately. The club should now prepare for Lee having the role of free-thrower in this Saturdays cup final and accepting the fact that Dom is on the subs bench for the start of the game The data sampling was very organised and strict but not random. To have taken a random sample would mean: * Watching a random sample of club games throughout the season * Watching a sample of free-throws made by the performers from the game * Calculate who is most accurate A problem with this is time, as it would take a year to go through just one season, therefore it is impractical and illogical. The physical form of the player should also alter throughout the season so a random sample of more than one season would have to be made. A much better way is to watch all training sessions and take a general overview of who supplies the most points in miniature matches from free throws. This gives more of a view of consistency than on the day performance but during game situations the performer will be thinking more logically. A sample of eighty straight baskets is tedious and will affect performance. Modifications * Use a longer time period. The performers were rushed to collect their sample size within two hours as a result of school timetabling and so one of them had to rush his last twenty shots. * Use the same time period i.e. one performer did it one day and the other completed it the next day. Conditions may have been different and morale, energy etc may be variated for both Dom and Lee * Use foot-mats on the floor so that it indicates an exact position for the feet to stand instead of just using the line. This may be an insignificant difference but to improve the coursework it is better than no difference at all. * Using the same basketball. Half way through the sample collection the basketball was lost leaving us the trouble of having to use another basketball maybe of different weight, age etc and possibly affecting the results Improvements * I would like to calculate confidence intervals for both expected values (X and Y) to determine my degree of confidence in Lee being a better freethrower. * I would also like to be able to see if my result E[X] = E[Y] was statistically significant

How to Write a Descriptive Observational Essay

How to Write a Descriptive Observational Essay Your first task in writing a descriptive essay is to choose a topic that has many interesting parts or qualities to talk about. Unless you have a really vivid imagination, youll find it difficult to write much about a simple object like a comb, for example. Its best to compare a few topics first to make sure theyll work. The next challenge is to figure out the best way to describe your chosen subject in such a way as to relay a complete experience to the reader, so that he or she is able to see, hear, and feel through your words. Organize Thoughts Before Drafting As in any writing, the drafting stage is key to writing a successful descriptive essay. Since the purpose of the essay is to paint a mental image of a specific subject, it helps to make a list of all the things you associate with your topic. For example, if your subject is the farm where you visited your grandparents as a child you would list all the things you associate with that place. Your list should include both general attributes associated with a farm and the more personal and specific things that make it special to you and the reader. Start with general details CornfieldsPigsCowsGardenFarmhouseWell Then add the unique details: That spot by the pig barn where you fell in the manure.Playing hide and seek in the cornfields.Picking wild greens for dinner with your grandmother.The stray dogs that always wandered onto the farm.Scary coyotes howling in the night. By tying these details together you can make the essay more relatable to the reader. Making these lists will allow you to see how you can tie things from each list together. Describing Descriptions   At this stage, you should determine a good order for the objects youll describe. For example, if you are describing an object, you should determine whether you want to describe its appearance from top to bottom or side to side. Remember that it is important to begin your essay on a general level and work your way down to specifics. Start by outlining a simple five-paragraph essay with three main topics. Then you may expand on this basic outline. Next, you will begin to construct a thesis statement and a trial topic sentence for each main paragraph. The thesis sentence should convey your overall impression of your subject. Does it make you happy? Is it attractive or ugly? Is your object useful?Each topic sentence should introduce a new part or stage of your chosen topic. Dont worry, you can change these sentences later. Its time to start writing paragraphs! Beginning to Draft As you build your paragraphs, you should avoid confusing the reader by bombarding them with unfamiliar information immediately; you must ease your way into your topic in your introductory paragraph. For example, instead of saying, The farm was where I spent most summers holidays. During the summer we played hide and seek in the cornfields and walked through the cow pastures to pick wild greens for supper. Nana always carried a gun for snakes. Instead, give the reader a broad view of your subject and work your way into the details. A better example would be: In a small rural town in central Ohio was a farm surrounded by miles of cornfields. In this place, on many warm summer days, my cousins and I would run through the cornfields playing hide and seek or making our own crop circles as clubhouses. My grandparents, whom I called Nana and Papa, lived on this farm for many years. The old farmhouse was large and always full of people, and it was surrounded by wild animals. I spent many of my childhood summers and holidays here. It was the family gathering place. Another simple rule of thumb to remember is show dont tell. If you want to describe a feeling or action you should reinvent it through the senses rather than just state it. For example, instead of: I got excited every time we pulled into the driveway of my grandparents house. Try to elaborate on what was really going on in your head: After sitting for several hours in the back seat of the car, I found the slow crawl up the driveway to be absolute torture. I just knew Nana was inside waiting with freshly baked pies and treats for me. Papa would have some toy or trinket hidden somewhere but he would pretend not to recognize me for a few minutes just to tease me before he gave it to me. As my parents would struggle to pry the suitcases out of the trunk, I would bounce all the way up the porch and rattle the door until someone finally let me in. The second version paints a picture and puts the reader in the scene. Anyone can be excited. What your reader needs and wants to know is, what makes it exciting? Keep It Specific Finally, dont try to cram too much into one paragraph. Use each paragraph to describe a different aspect of your subject. Check to make sure that your essay flows from one paragraph to the next with good transition statements. The conclusion of your paragraph is where you can tie everything together and restate the thesis of your essay. Take all the details and summarize what they mean to you and why it is important.

The First Arab-Israeli War and the Palestinian Refugee Problem Essay

The First Arab-Israeli War and the Palestinian Refugee Problem - Essay Example After American abandonment of Israel, a Jewish state in the midst of Arab and Palestinian enemies, I agree with you in claiming it was inevitable for Israel to militarize in order to realize and sustain their interests in the Middle East. Finally, even though Israel had to militarize fast, the motive of partitioning remains unknown, and I agree when you claim the war resulted from a multiplicity of factors at local, national, and international levels. For many years, the Middle East has been a region of frequent conflicts, and even today violence beginning with the Arab revolution spread throughout the region with unimaginable consequences of their social, political, economic, and cultural organization. Many wars in the Middle East could be avoided, but local, national, regional and international interests make war inevitable, and I agree when you employ this applies to the first Arab-Israeli War. It is true Palestinians were ill prepared for the war and these questions the motives for the war. I believe the war resulted from differences between Britain and America over the fate of the Middle East. Considering the arms embargo, America’s abandonment of Israel, and disunity between Arab countries about the Palestinian crisis, I agree when you claim Britain, America, and Arab countries were concerned about gaining territorial possessions than they were about the crisis in Palestine. Therefore, the fate of Palestine was influe nced by the interplay between various factors.

If you want high performance, recruitment and selection is the most Essay - 1

If you want high performance, recruitment and selection is the most important function in HRM. Get that right and everything else falls into place''. Discuss - Essay Example It is essential that the process of recruitment should be planned, organized, and performed in a way that will lead to success. In the process of recruiting employees, there is an element of prediction, which is not a favorable aspect for recruitment. Effective policies for recruitment are helpful in making the decisions in a more organized manner to achieve the degree of uncertainty. The implementation of the effective process for recruitment cannot be ignored; it requires the proper devotion of time and interest of the managers towards this responsibility for the well-being of the organization. Recruitment provides the opportunity to present a favorable conditions or a platform for an organization to grow and prosper by recruiting the right persons (Price, 2007). The main objective of recruitment and selection is to find the best and effective recruitment sources which will help in hiring the best individuals from the market. Moreover, the other important objective is to retain these employees in the organization. The success lies within the selection of the right candidate and providing them the right environment and right benefits. The organization needs to follow and implement the correct recruitment procedure: The first and most important function of recruitment is to identify the need of an individual to be hired, i.e. designing a job description. Specifying the areas where an employee will be required in the organization. It is important to consider the term and conditions and policies along with the core values of the organization (Jackson, Schuler, & Werner, 2009). It is the most creative part of the job. Searching for employees internally is not a big goal to achieve or may not give an interest of gaining an opportunity. Major factor is to create attraction for the outside employees to join the organization. This involves some foreign bodies to act in for recruitment and take

Aplastic Anemia Essay Example for Free

Aplastic Anemia Essay Aplasitc anemia is a very rare blood disorder. Sometimes, it is connected with leukemia; it could be a result from chemotherapy given to leukemia patients. In aplastic anemia, the bone marrow does not make the necessary blood cells needed in the blood; however, leukemia is when the blood cells are deformed and not working properly. Leukemia is a cancer where as aplastic anemia is not. Chemotherapy treatment for cancer can lead to the secondary condition of aplastic anemia that may cause slowing down of producing blood cells. What are the anatomical and physiological symptoms and causes for aplastic anemia? What is the diagnosis and what treatments are available for aplastic anemia? One symptom is fatigue from being anemic. Anemia is when the red blood cells are low in the blood. The red blood cells carry the oxygen from your lungs to all parts of the body (Aplastic Anemia and MDS International Foundation, Inc. ). This will cause fatigue when the body does not get enough oxygen. There is a little more than just low red blood count in cells in aplastic anemia. It is when the body doesn’t produce all three different blood cells that the body has: white blood cells, red blood cells, and the platelets termed pancytopenia (Wikipedia). In aplastic anemia, it is when the bone marrow stops producing or slows down in producing these new blood cells. The white ones or leukocytes are to fight infections in the body by attacking and killing bacteria and viruses (Aplastic Anemia and MDS International Foundation, Inc. ), so with out them patients easily catch viruses. A low white blood cell count is called neutropenia (Aplastic Anemia and MDS International Foundation, Inc. . The other is the platelets; they are for blood clots. A low platelet count is called thrombocytopenia (Aplastic Anemia and MDS International Foundation, Inc. ). A low platelet count leads to another symptom that would be uncontrolled bleeding because the body does not have the platelets to stop the bleeding. You can also causes bruising and petechiae (Wikipedia). Some of the other symptoms include shortness of breath, headache, pallor and, ultimately tachycardia and heart failure (Lippincott 508). Bone tenderness should not be present (Mc Phee 454). The cause for aplastic anemia develops when the bone marrow is damaged or in some cases is unknown. About 75 out of 100 cases of acquired aplastic anemia are idiopathic (Aplastic Anemia MDS International Foundation, Inc. ). This means they have no known cause. Sometimes, the case can be from radiation and chemotherapy treatment used for cancer. This can destroy the healthy cells in the bone marrow leading to the secondary condition. Some other causes for secondary condition of aplastic anemia are toxic chemicals and certain drugs, such as the chemical benzene that is found in gasoline, or with the use of certain drugs, including chloramphenicol[-0], carbamazepine[-1], felbamate[-2], phenytoin[-3], quinine[-4], and phenylbutazone[-5] (Wikipedia). Chloramphenicol treatment is followed by aplasia in less than 1 in 40,000 treatment courses, and carbamazepine aplasia is even more rare (Wikipedia). The medication for rheumatoid arthritis is connected to ones getting aplastic anemia; this would be called also a secondary condition when aplastic anemia appears. Likewise Lupus, an autoimmune disorder, can attack the healthy stem cells. This would cause the slowing down or stopping of making the blood cells the body needs. The rest may result from immunologic factors (unconfirmed), severe disease (especially hepatitis), viral infection (especially children), or preleukemic and neoplastic infiltration of bone marrow (Lippincott 397). Therefore, to confirm a diagnosis for aplastic anemia they first take a blood sample to see if the blood count is low. If that shows up low in all the blood cells, the next step is to take a bone marrow sample or biopsy. The bone marrow is usually taken from the large hip bone by a needle. The sample is looked at in a microscope to rule out leukemia, which the blood cells would look abnormal and would be the reason the blood cells are not working properly. However, aplastic anemia would show very little red and white blood cells in the blood stream. Some options of treatment given to patients are medications, bone marrow transplant, and blood transfusion (MayoClinic). Just recently, they have stem cell transplants. The medications are immunosuppressive combine with cyclosporine. Maybe one of the causes is the immune system is attacking its own good blood cells, and these drugs will slow down the process. This medication treatment is usually given until the patient can get a stem cell transplant. The other medication can be used with the immunosuppressive is the growth factor. The new genetically engineered growth factor drugs help with making new white blood cells. That is really important, since the body makes a blood cell that only last for awhile, so the body is always generating new blood cells. However, aplastic anemia patients body for some reason stops this process. The other medicines used are antibiotics either to help prevent infections or already established infection, since the immune system is weak and would not be unable to fight of a common cold. Most likely the doctor will administer them before an infection appears, so that the patient will not get an infection. Those are the medications used and if the condition doesn’t improve, the patient would await for a bone marrow transplant. The bone marrow transplant might have been the first choice, which the medication is administered until the patient can find a match donor. The bone marrow transplant is usually a successful treatment to cure aplastic anemia in people under 55 years old (Aplastic Anemia and MDS International Foundation, Inc. ). Bone marrow transplantation from a related, matched donor can treat aplastic anemia – without recurrence- in about four out of five cases (MayoClinic). Up to half the people with matched, but unrelated, donors can expect to have successful bone marrow transplants (MayoClinic). There’s a chance that your body may reject the transplant, leading to life-threatening complications (MayoClinic). The bone marrow transplant uses a matched blood type. When found, the donor will have surgically removed some of his or her healthy bone marrow. It is then injected intravenously in the blood to the patient. The donated bone marrow will collect to the patient’s bone marrow and help with making new blood cells; it may take two to four weeks to show the new blood cells are producing. Before they even give the aplastic patient the donated marrow, they give them chemo to get rid of the diseased marrow, and will also be administered drugs to help prevent rejection of the bone marrow. Another precaution a doctor may limit the number of blood transfusions before the operation to avoid complications. Technology is advancing that they can use stem cells now instead of bone marrow transplant. The new stem cell transplant is taken from the bone marrow, umbilical cord, or the blood stream of the donor. They just get the stem cell from either of those places, and again like the bone marrow transplant, place the stem cell into the blood stream of the patient. The patient will be given chemo before the procedure as in the bone marrow transplant. This time the complication of the new stem cells will create an immune system that attacks the body of the donor, instead of the body rejecting as in the bone marrow transplant. If this does occur, they also have drugs that will help combat this. The treatment of blood transfusion is not usually used because it is a treatment for fatigue. Fatigue is not a medical emergency. First, use rest to see if it alleviates the symptom. White blood cells only last a day because that is how long they last in the body. That is why the bone marrow is important in making the new cells the body needs. The other complication that blood transfusions may cause is hemorrhaging. For long term recovery, they usually need other treatment along with this procedure. Aplastic anemia is a very rare disease and affects very few people. It is not contagious. It is more commonly diagnosed in young adults and children. It can affect any age group anytime in life and the illness might be brief, also it can come on suddenly or slowly. The symptoms vary depending on the blood cells that they are low in. The patient could have a slight case that might just be observed or to a severe case that needs treatment. A doctor should be the one to make the diagnoses and treatments. Doctors estimate that there are about 900 new cases of aplastic anemia diagnosed in the United States each year (Aplastic Anemia MDS International Foundation, Inc. . Patients need to be extra careful not to get an infection because the body having low white blood cell count would have a hard time combating against viruses. Steps are also taken to prevent hemorrhage: avoiding parenteral injections, suggesting the use of an electric razor, humidifying oxygen to prevent dry mucous membranes, and promoting regular bowel movement (Venes 116). Mortality for aplastic anemias with severe pancytopenia is 80% to 90% (Lippincott 507). In advancing technology today, why not consider to be a bone marrow donor that could save lives of others.

the story of mel :: essays research papers

"do real programmers program in fortran?" Maybe they do now, in this decadent era of Lite beer, hand calculators and "user-friendly" software but back in the Good Old Days, when the term "software" sounded funny and Real Computers were made out of drums and vacuum tubes, Real Programmers wrote in machine code. Not Fortran. Not RATFOR. Not, even, assembly language. Machine Code.Raw, unadorned, inscrutable hexadecimal numbers. Directly. Lest a whole new generation of programmers grow up in ignorance of this glorious past, I feel duty-bound to describe, as best I can through the generation gap, how a Real Programmer wrote code. I'll call him Mel, because that was his name. I first met Mel when I went to work for Royal McBee Computer Corp., a now-defunct subsidiary of the typewriter company. The firm manufactured the LGP-30, a small, cheap (by the standards of the day) drum-memory computer, and had just started to manufacture the RPC-4000, a much-improved, bigger, better, faster -- drum-memory computer. Cores cost too much, and weren't here to stay, anyway. (That's why you haven't heard of the company, or the computer.) I had been hired to write a Fortran compiler for this new marvel and Mel was my guide to its wonders. Mel didn't approve of compilers. "If a program can't rewrite its own code," he asked, "what good is it?" Mel had written, in hexadecimal, the most popular computer program the company owned. It ran on the LGP-30 and played blackjack with potential customers at computer shows. Its effect was always dramatic. The LGP-30 booth was packed at every show, and the IBM salesmen stood around talking to each other. Whether or not this actually sold computers was a question we never discussed. Mel's job was to re-write the blackjack program for the RPC-4000. (Port? What does that mean?) The new computer had a one-plus-one addressing scheme, in which each machine instruction, in addition to the operation code and the address of the needed operand, had a second address that indicated where, on the revolving drum, the next instruction was located. In modern parlance, every single instruction was followed by a GO TO! Put *that* in Pascal's pipe and smoke it. Mel loved the RPC-4000 because he could optimize his code: that is, locate instructions on the drum so that just as one finished its job, the next would be just arriving at the "read head" and available for immediate execution. the story of mel :: essays research papers "do real programmers program in fortran?" Maybe they do now, in this decadent era of Lite beer, hand calculators and "user-friendly" software but back in the Good Old Days, when the term "software" sounded funny and Real Computers were made out of drums and vacuum tubes, Real Programmers wrote in machine code. Not Fortran. Not RATFOR. Not, even, assembly language. Machine Code.Raw, unadorned, inscrutable hexadecimal numbers. Directly. Lest a whole new generation of programmers grow up in ignorance of this glorious past, I feel duty-bound to describe, as best I can through the generation gap, how a Real Programmer wrote code. I'll call him Mel, because that was his name. I first met Mel when I went to work for Royal McBee Computer Corp., a now-defunct subsidiary of the typewriter company. The firm manufactured the LGP-30, a small, cheap (by the standards of the day) drum-memory computer, and had just started to manufacture the RPC-4000, a much-improved, bigger, better, faster -- drum-memory computer. Cores cost too much, and weren't here to stay, anyway. (That's why you haven't heard of the company, or the computer.) I had been hired to write a Fortran compiler for this new marvel and Mel was my guide to its wonders. Mel didn't approve of compilers. "If a program can't rewrite its own code," he asked, "what good is it?" Mel had written, in hexadecimal, the most popular computer program the company owned. It ran on the LGP-30 and played blackjack with potential customers at computer shows. Its effect was always dramatic. The LGP-30 booth was packed at every show, and the IBM salesmen stood around talking to each other. Whether or not this actually sold computers was a question we never discussed. Mel's job was to re-write the blackjack program for the RPC-4000. (Port? What does that mean?) The new computer had a one-plus-one addressing scheme, in which each machine instruction, in addition to the operation code and the address of the needed operand, had a second address that indicated where, on the revolving drum, the next instruction was located. In modern parlance, every single instruction was followed by a GO TO! Put *that* in Pascal's pipe and smoke it. Mel loved the RPC-4000 because he could optimize his code: that is, locate instructions on the drum so that just as one finished its job, the next would be just arriving at the "read head" and available for immediate execution.

Oxalate ION Essay

The dissociation of protons from oxalic acid proceeds in a stepwise manner as for other polyprotic acids. Loss of a single proton results in the monovalent hydrogenoxalate anion HC2O4−. A salt with this anion is sometimes called an acid oxalate, monobasic oxalate, or hydrogen oxalate. The equilibrium constant (Ka) for loss of the first proton is 5.37Ãâ€"10−2 (pKa = 1.27). The loss of the second proton, which yields the oxalate ion has an equilibrium constant of 5.25Ãâ€"10−5 (pKa = 4.28). These values imply that, in solutions with neutral pH, there is no oxalic acid, and only trace amounts of hydrogen oxalate.[1] The literature is often unclear on the distinction between H2C2O4, HC2O4-, and C2O42-, and the collection of species is referred to oxalic acid. otany patnawomenscollege.in/journal Explore, 2010, Page No. 63–67 Vol. II No. 2 Analysis of oxalate of fresh and stored tomato juice Devshikha*, Nitya Priyadarshi*, Sukriti Rani Prasad** *B.Sc. –II year (2008-2011), Department of Botany, Patna Women’s College, Patna University **Lecturer (Gue Premium663 Words3 Pages Study of Oxalate Ion St. John’s Senior Secondary School and Junior College Mandaveli Chennai – 600028 A CHEMISTRY PROJECT â€Å"STUDY OF THE OXALATE ION CONTENT IN GUAVA FRUIT† Submitted in the partial Fulfilment of the requirement for AISSCE 2010-2011 By Abdud Dayan Adeeb Of Class XII C St. John’s Senior Premium1368 Words6 Pages Oxalate Oxalate From Wikipedia, the free encyclopedia Jump to: navigation, search The structure of the oxalate anion A ball-and stick model of oxalate Oxalate (IUPAC: ethanedioate) is the dianion with the formula C2O42−, also written (COO)22−. Either name is often used for derivatives, such as

Ethical Theory Comparison

Ethics are a part of everyday life. Dependent on the individuals focus, ethics can be a core value or a term used when needed. This comparison will assist with understanding the morality of individual decisions or choices based on the ethical system inherited. Virtue based theories centers on good character behavior, a type of human growth that forms good decision making and control of bad habits. Virtue also creates a format that eliminates moral conflict over time. An individual with strong virtue ethics will make decisions naturally.Correct moral decisions require correct motives. Utilitarianism concentrates on the right and wrong of the end result. It includes the interest of others as well as personal interest. To understand what moral is under this theory simply judge the good and bad of a situation. Unlike deontological ethics, this eliminates the thought of others and creates the image of selfishness. This theory does not set well with common religious followers. (Voytinsky, 2011). Deontological ethics focus on the reason why we do or act. This practice would allow rules to be broken as long as the moral duty is protected.Pain and pleasure will not satisfy action under the theory. Obligations are written in stone. The moral principle is maintained regardless of consequential occurrence. Deontological ethics are common among religious practices. (Cline, 2013). I joined the military at twenty on with strong Christian ties. A recruiter convinced me that my job was non-combative. My worry, of course, was not to harm or kill another human being. Saudi Arabia told a different story.I was faced with; shooting to kill to protect myself and my comrades, or honoring commandments. My religious beliefs would have put me in military prison. I would have also become a target among my peers. I was forced to accept the utilitarianism approach in order to survive and return home to my family.The scope of all things ethical may become slightly misunderstood due to the mo rality of each individual. Strong beliefs or a sound knowledge of what’s right to you may create the conflict of a life time. Understanding these  differences describe in this writing will help to understand the complete picture. Each ethical theory has its value in life. Being aware will allow us to facilitate conflict, conversations, or debates with proper knowledge of which ethical value is used, discussed, or misunderstood.

Wright and Dostoevsky essays

Wright and Dostoevsky essays Both Fyodor Dostoyevsky, in Crime and Punishment and Richard Wright, in Native Son look to men who have been pushed beyond reason into murder, and both authors ask us what justice means in such a context. The answers that the authors provide are quite different - which should hardly be surprising since both authors suggest that ideas of justice must reflect the local realities of life in a given place and time and the settings for each of the novels is dramatically different. But the answers that each provides are also strikingly open-ended: We must ourselves decide in the end what justice was granted and what denied to Both novels ask us to decide for ourselves what moral action is possible in a society in which justice is scarce, and our answer to that question in large measure will reflect our own experiences of how justice A Man With No Place To Go Wright's novel - arguably one of the most influential American books of the 20th century - relates the story of Bigger Thomas, a man who had never had a fair chance in life because of the racism he faces as an African-American. We see him traveling downward through society and we can predict that his actions will lead him (as in fact they do) to crime and punishment. As a young black man in a decade (the 1930s) and a place (Chicago) that sees him as only being of possible use as a slightly more intelligent than average beast of burden) he is trapped and made desperate by a future in which the walls will continue to close in on him. His desperation, and his anger (as well as his underlying personality) lead him to the edge of violence and then push him over and he murders a young white woman. From this moment on he cannot hope to find any help, any hope, in a society that already had very little use He is abandon...

Seesaw Candle Fire Magic Trick

Seesaw Candle Fire Magic Trick The seesaw candle magic trick is a fire science trick that teaches how combustion and Newtons Third Law of Motion work. A candle, balanced between a pair of glasses, rocks or seesaws up and down on its own. The motion continues as long as the candle continues to burn. If one side of the candle starts out heavier than the other, the motion of the candle will act to equalize the mass on either side of the pivot point. Its a simple trick, but eye-catching and interesting! Seesaw Candle Trick Materials Long candleNeedle2 glasses or jars that are the same height Long, thin candles work best for this trick. You can even use a pair of candles that are connected to each other. Procedure The first step is to expose wick at both ends of the candle so take a look at the bottom of the candle. If it has some wick pressed onto the bottom of the wax, loosen it so that you will be able to light it. On the other hand, if there isnt any wick at the bottom of the candle, use a knife to cut away enough of the candle to expose wick. You dont need a particularly sharp knife. In fact, its better to use a dull knife so that you dont accidentally cut the wick.Push the needle through the candle about halfway down its length. You dont have to be exact, but if you arent very good at gauging halfway points, then use a ruler to measure your candle, divide that number by two and push the needle through the candle at that point. If the candle wax is soft, you may be able to push the needle through the candle with minimal effort, but if the wax is hard or your candle is thick, then grasp the needle with pliers or tweezers, heat it in a flame and push it through the candle. The hot needle sh ould pass through the wax fairly easily. The trick still works if you accidentally bend the needle. Balance the needle and candle between a pair of glasses. It is okay if one end of the candle is heavier than the other.Light both ends of the candle. The candle will rock up and down, like a seesaw. You can watch a video of the project if youd like to see what to expect. How It Works The candle moves in response to forces acting on it, trying to reach equilibrium. The combustion reaction turns the candle wax into carbon dioxide gas and water vapor, making the burning end of a candle lighter. If one side of the candle burns more quickly than the other, the lighter side of the candle moves up. The lower side of the candle is angled such that the flame melts the wax, causing it to drip down. This not only lessens the mass at that end of the candle, but the force from the dripping wax actually pushes the end of the candle up! This is Newtons Third Law of Motion, which states that for every action, there is an equal and opposite reaction. More Fire and Candle Science Magic Traveling Flame Candle Magic TrickBlow Out a Candle with Chemical MagicTrick Birthday CandlesEdible Candle Trick Tips and Safety This is a fire project, so use adult supervision and avoid trying this trick near curtains, pets, gasoline... you get the picture.​Lighter candles respond more dramatically to changes in mass than heavier ones. Ergo, lighter candles will give you a better range of motion than heavier candles. If you use a very big candle, you wont see much motion at all. When in doubt, lighten up! Disclaimer: Please be advised that the content provided by our website is for EDUCATIONAL PURPOSES ONLY. Fireworks and the chemicals contained within them are dangerous and should always be handled with care and used with common sense. By using this website you acknowledge that ThoughtCo., its parent About, Inc. (a/k/a Dotdash), and IAC/InterActive Corp. shall have no liability for any damages, injuries, or other legal matters caused by your use of fireworks or the knowledge or application of the information on this website. The providers of this content specifically do not condone using fireworks for disruptive, unsafe, illegal, or destructive purposes. You are responsible for following all applicable laws before using or applying the information provided on this website.

Tuner circuit tt Essay Example | Topics and Well Written Essays - 1000 words

Tuner circuit tt - Essay Example The reader will have an overall concept of the use of tuner circuits as well as the theory behind them. One of the most essential circuits in the communication field is a tuner circuit. (Godse & Bakshi, 2010) stated that a tuner circuit can be defined as a speaker that amplifies specific band of frequencies. Also, a tuner circuit can be used in televisions and radio. It is thus important to study tuner circuits because they are used in nearly all electronic devices, including remote-controlled model aircrafts and space satellites. Tuner circuits work when the amplifier plays an important thing in electrical and electronic devices. The work of an amplifier here is to add to the amplitude of a signal waveform, devoid of altering other constraints of the waveform, such as frequency or wave shape (Learnabout-electronics.org, 2015). Tuner circuits come in different types such as tuned amplifier, which is used to select and amplify a specific high frequency or narrow band of frequencies. To achieve these things in a circuit, resistive load is replaced by a parallel tuned circuit (LC), whose impedance is strongly achieved upon frequency (Transistor Tuned Amplifiers). Resonance frequency occurs when the inductor and capacitor are equal. This report will show the establishment, the point at which the frequencies of the input signal on output is produced, discuss the results, and explain the operation of the circuit. Table 1 shows the equipments that were used in the report, while connecting them to oscilloscope, to show the changing of the waveform with changing frequencies and function generator Input signal: 100mV peak-to-peak 5k Hz to 500k Hz. The Q factor or the Quality factor refers to the ratio of energy that is in a circuit to the energy that is lost in one cycle (Godse & Bakshi, 2010). Internal resistance of a circuit and the implementation of the magnetic field cause

E-Business and Value Chains Essay Example | Topics and Well Written Essays - 2000 words - 1

E-Business and Value Chains - Essay Example This paper will seek to develop e-value and e-customer chains in terms of e-business to show the means by which information technology (IT) has been influencing the Virgin Atlantic Airways apparel business innovation, transformation, and development among other benefits (Godwin, 2009:4). Additionally, this paper will focus on opportunities brought about by electronic business and asses strengths as well as weaknesses experienced by this organization due to information technology. Changes in supply chain management practices of Virgin Atlantic Airways Virgin Atlantic Airways is an acclaimed leader in the aviation industry. Being the first airline to introduce or launch customer for the Airbus A340-600, it accords its name a great deal of success and innovation (Buhalis, 2003:7). This airline revolutionized the business when it created the Upper Class ‘Suite’ and started offering regular services to 25 destinations globally. With development of internet, the supply chain m anagement and practices of this airline transformed. This is because; information communication technologies transformed the entire business world of aviation. In particular, the airline industry fostered its dependency on technology due to its strategic and operational management. Virgin Atlantic Airways was an early adopter of information communication technolo