Monday, January 27, 2020
Introduction To Cricket In The 21st Century History Essay
Introduction To Cricket In The 21st Century History Essay When considering the extensive amount of research that has been directed toward the sporting world from a mathematical, statistical and operational research perspective, the Duckworth/Lewis method (Duckworth and Lewis, 1998, 2004) perhaps stands alone as the most significant contribution to sport. The common practice in dealing with interrupted one-day cricket matches until 1992 was to compare the run rates (the total number of runs scored divided by the number of completed overs) of the competing teams; the team with the higher run rate was declared the winner. However, this rule tended to benefit the team batting second (Team 2) at the expense of the team batting first (Team 1), leading to the common practice of inviting the other team to bat first if rain was expected. The difficulty with run rates is that targets are determined by taking the remaining overs into account, while ignoring the number of lost wickets. As is well known, batsmen tend to bat less aggressively and score fewer runs when more wickets have been taken. The first team does not have the same strategic options as the second team and, in that sense, the rule does not provide both teams with equal opportunities. Realising that this rule is biased towards the side batting second, the Australian Cricket Board introduced its most productive overs rule during the 1992/93 season. This rule calculates the target for Team 2 by taking the n highest scoring overs of Team 1 where n is the number of played overs (for example, 40 if 10 overs are lost due to rain). Ironically, this rule was now considered as tending to favour the side batting first and transparently unfair to the team batting second. To illustrate, Suppose that Team 2 requires 20 off 19 balls to win, when a short shower takes three overs away. The reset target would now be 20 off 1 ball since the three least productive overs are deduced from the original target (which we may believe were three maiden overs in this case). However, this seems to be unfair and even ironic: the second teams excellent bowling (three maiden overs) in the first innings is now turning against them; it would have been better for Team 2 in this case if Team 1 had reached the same total score without any maidens. The Duckworth/Lewis method was utilised and gained prominence during the 1999 World Cup, and since that time, it has been adopted by every major cricketing board and competition. In one-day cricket, the Duckworth/Lewis method is based on the recognition that at the beginning of a match, each side has resources available (typically 50 overs and 10 wickets). When the match is shortened, the resources of one or both teams are reduced and the two teams usually have different resources for their innings. In this case, in an attempt to be fair, a revised target for the team batting second is set. The determination of the target using resources is known as the Duckworth/Lewis method. What makes the adoption of the Duckworth/Lewis method remarkable is that the method is widely perceived by the public as a black box procedure. Generally, people do not understand how the targets are set but they do agree that the targets are sensible or at least preferable to the approach based on run rates. Although the Duckworth/Lewis (D/L) method was designed for one-day cricket, it has also been applied to Twenty20 cricket. Twenty20 is a relatively new version of limited overs cricket with only 20 overs per side. In contrast to the one-day game and first-class cricket (which can take up to five days to complete), Twenty20 matches have completion times that are comparable to other popular team sports. With the introduction of the biennial World Twenty20 tournament in 2007 and the Indian Premier League in 2008, Twenty20 cricket has gained widespread popularity. Although Twenty20 (t20) cricket is similar to one-day cricket, there exist subtle variations in the rules (e.g. fielding restrictions, limits on bowling, etc) between the two versions of cricket. The variations in the rules, and most importantly, the reduction of overs from 50 to 20 suggest that scoring patterns in t20 may differ from the one-day game. In particular, t20 is seen as a more explosive game where the ability to score 4s and 6s is more highly valued than in one-day cricket. Since the D/L method (and its associated resource table) is based on the scoring patterns in one-day cricket, it is therefore reasonable to ask whether the D-L method is appropriate for t20. With the rise of Twenty20, an investigation of the D/L method applied to t20 is timely. Up until this point in time, such an investigation might not have been possible due to the dearth of t20 match results. Now analysts have at their disposal nearly 200 international matches, and through the use of efficient estimation procedures, the question may be at least partially addressed. Also, since t20 matches have a shorter duration, to date, few matches have been interrupted and resumed according to D/L. Consequently, if there is a problem with D/L applied to t20, it may not have yet manifested itself. This was true before the third editon of the World t20 in May 2010 when a controversial outcome occurred in a game between England and the West Indies. The criticism directed at the usage and appropriateness of the method by players, commentators and fans provide sufficient motivation to adjust the table in this project. In Section 2, the construction of the Duckworth/Lewis resource table is reviewed as well as its effective inception relative to past rain rules. Some comments are provided on aspects of the table and the limitations of the method. In Section 3, an alternative Twenty20 resource table is obtained using a non-parametric approach based on Gibbs sampling. The data used in the construction of the new table consist of all international Twenty20 matches to date involving Test-playing nations as recognised by the International Cricket Council (ICC). The project concludes with a short discussion in Section 4. A heat map is provided to facilitate comparisons between the two tables. 2. For their eyes only: Evaluation of the current method and its appropriateness A condensed version of the Duckworth/Lewis resource table (Standard Edition) is shown in Table 1 (taken from the ICC Playing Handbook 2008-09). In an uninterrupted innings of one-day cricket, a team starts batting with maximum resources available, equivalent to 50 overs and zero wickets taken. Reflect now on a one-day match where Team 1 scores 276 runs at the end of its 50 overs, as a simple example of the use of the Duckworth/Lewis resource table. Before Team 2 has a chance to start their chase of Team 1s total, it rains and they only receive 30 overs for their innings. A look at the resource table shows that Team 2 has only 75.1% of their resources in hand and, consequently, their target for winning the match is set at 276(0.751)=208 runs. Contrast the Duckworth/Lewis target with the unreasonably low target of 276(30/50)=166 runs based on run rates. Table 1. Abbreviated version of the Duckworth-Lewis resource table (Standard Edition) Overs available Wickets lost 0 1 2 3 4 5 6 7 8 50 100.0 93.4 85.1 74.9 62.7 49.0 34.9 22.0 11.9 40 89.3 84.2 77.8 69.6 59.5 47.6 34.6 22.0 11.9 30 75.1 71.8 67.3 61.6 54.1 44.7 33.6 21.8 11.9 25 66.5 63.9 60.5 56.0 50.0 42.2 32.6 21.6 11.9 20 56.6 54.8 52.4 49.1 44.6 38.6 30.8 21.2 11.9 10 32.1 31.6 30.8 29.8 28.3 26.1 22.8 17.9 11.4 5 17.2 17.0 16.8 16.5 16.1 15.4 14.3 12.5 9.4 1 3.6 3.6 3.6 3.6 3.6 3.5 3.5 3.4 3.2 0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 The table entries indicate the percentage of resources remaining in a match with the specified number of wickets lost and overs available. The D/L method has several advantages, which make it undoubtedly preferable to all previously used retargeting rules: completeness (it is able to handle all kinds of interruptions, even multiple interruptions and other unusual situations); the underlying mathematical model is internally consistent; tables are easily accessible/the computer programme is user-friendly; and the method compared to previous rules preserves the chance of winning by providing a relatively realistic reset target. Duckworth and Lewis (1998) only make available incomplete information relating to the creation of the resource table. Nevertheless, they do reveal that the table entries are based on the estimation of the 20 parameters Z0(w) and b(w), w=0,ââ¬â°Ã¢â¬ ¦,ââ¬â°9 corresponding to the function where Z(u,w) is the average total score obtained in u overs in an unlimited overs match where w wickets have been taken. While the utility of the Duckworth/Lewis table in one-day cricket cannot be questioned, a number of questions arise based on (1) and the estimates found in Table 1: Is (1) the best curve when considering that there are several parametric curves that could be fit? Is there any benefit in using a non-parametric fit to derive the table entries? The function (1) refers to unlimited overs cricket but is formed from a basis of one-day rules. Since one-day cricket is limited overs cricket, is there an advantage in taking the structure of the one-day game into account? How are the parameters estimated? If the 10 curves corresponding to w=0,ââ¬â°Ã¢â¬ ¦,ââ¬â°9 are fit separately, there are little data available beyond u=30 for fitting the curve with w=9. Also, the asymptotes for the curves with w=0,1,2 (see Figure 1 of Duckworth and Lewis (1998)) fall beyond the range of the data. In Table 1, the last two columns have many identical entries going down the columns. Although very few matches occur under these conditions, is it really sensible for resources to remain constant as the available overs decrease? This is a consequence of the asymptote imposed by (1). Although the D/L method maintains the margin of victory, it does not preserve the probability of victory. The resource table employed by the D/L method, and throughout its several updates, is based on detailed information from a large number of first innings scoring patterns. Therefore, the method assumes that the expected proportion of overall scoring for a particular over when a given number of wickets have been lost is the same in both innings. The validity of this assumption (that scoring patterns are the same in both innings) can be questioned. It has been found that there are a greater relative proportion of runs scored in the early and late overs of second innings, than in the first innings. The rule assumes that run-scoring accelerates right from the beginning of the innings so that runs come at a faster rate for every over completed; an exponential relationship between runs and overs is assumed. Although this captures the fact that run-scoring accelerates at the end of an innings, the moment of stabilisation somewhere after the relaxing of fielding restrictions is overlooked. 50 overs has been the standard format for a One-day International (ODI) for so long (over 20 years) that there is a period between the end of the fifteenth over and the start of the 41st where the batting side keep the scorecard ticking over through nudged and nurdled singles whilst the fielding side are perfectly happy to concede. Furthermore, no consideration is given to powerplay overs in which fielding restrictions are in place. Losing two overs during a period of fielding restrictions reduces a teams resources more than when a team loses the same couple of overs somewhere between, say, overs 25 and 30. The D/L method does not reflect the fact that the first period has a much higher run-scoring capacity than the second. The asymmetry between the equations for resetting targets impairs the quality of impartiality and may even lead to strategic options which are not equally open to both teams. When the target is large and Team 2 forsees a substantial reduction of its innings, Team 2 could take the strategic option to keep as many wickets as possible in hand, even if the scoring rate is less than required: a score of 99/1 (or 110/2, 123/3â⬠¦) after 25 overs in the second innings against a target of 286 for 50 overs would win if no further play is possible. This distorted result is not merely due to the scaling of limited early data but also stems from an idealised assumption of how batting sides deploy their resources during an innings. The D/L method, like other (target) prediction algorithms, tries to fit historical data into a function curve, and uses this to predict future match states. Although this approach is generic and scales well, the specificity of the match is lost. For example, say in two instances a match is interrupted in the first innings with the score at 100/3 after 25 overs. The prediction (extrapolation) for both the matches will be the same. However, if one of the teams were 90/0 after 15 overs and the other team were 40/3 at the same stage, it is highly probable that the second team would have gone on to score more than the first. 3. Turn the tables: A new model for Twenty20 matches For ease of discussion, it is convenient to convert the Duckworth/Lewis resource table to the context of Twenty20; the resource table is shortened to 20 overs and the entries scaled so that an innings beginning with 20 overs and zero wickets corresponds to 100% resources. Table 2 gives the full Duckworth/Lewis resource table (Standard Edition) for Twenty20 where the entries are obtained by dividing the corresponding entry in Table 1 by 0.566 (the resources remaining in a 1-day match where 20 overs are available and zero wickets taken). Table 2. The Duckworth/Lewis resource table (Standard Edition) scaled for Twenty20 Overs available Wickets lost 0 1 2 3 4 5 6 7 8 20 100.0 96.8 92.6 86.7 78.8 68.2 54.4 37.5 21.3 19 96.1 93.3 89.2 83.9 76.7 66.6 53.5 37.3 21.0 18 92.2 89.6 85.9 81.1 74.2 65.0 52.7 36.9 21.0 17 88.2 85.7 82.5 77.9 71.7 63.3 51.6 36.6 21.0 16 84.1 81.8 79.0 74.7 69.1 61.3 50.4 36.2 20.8 15 79.9 77.9 75.3 71.6 66.4 59.2 49.1 35.7 20.8 14 75.4 73.7 71.4 68.0 63.4 56.9 47.7 35.2 20.8 13 71.0 69.4 67.3 64.5 60.4 54.4 46.1 34.5 20.7 12 66.4 65.0 63.3 60.6 57.1 51.9 44.3 33.6 20.5 11 61.7 60.4 59.0 56.7 53.7 49.1 42.4 32.7 20.3 10 56.7 55.8 54.4 52.7 50.0 46.1 40.3 31.6 20.1 9 51.8 51.1 49.8 48.4 46.1 42.8 37.8 30.2 19.8 8 46.6 45.9 45.1 43.8 42.0 39.4 35.2 28.6 19.3 7 41.3 40.8 40.1 39.2 37.8 35.5 32.2 26.9 18.6 6 35.9 35.5 35.0 34.3 33.2 31.4 29.0 24.6 17.8 5 30.4 30.0 29.7 29.2 28.4 27.2 25.3 22.1 16.6 4 24.6 24.4 24.2 23.9 23.3 22.4 21.2 18.9 14.8 3 18.7 18.6 18.4 18.2 18.0 17.5 16.8 15.4 12.7 2 12.7 12.5 12.5 12.4 12.4 12.0 11.7 11.0 9.7 1 6.4 6.4 6.4 6.4 6.4 6.2 6.2 6.0 5.7 The table entries indicate the percentage of resources remaining in a match with the specified number of wickets lost and overs available. To build a resource table for Twenty20 (t20), it is imperative to consider the scoring patterns specific to the shortest version of the game. Hence, consider the 141 international t20 matches involving ICC full member teams that have taken place from the first in 17 February 2005 through to 14 January 2011 (details of these matches can be accessed from ESPN Cricinfo). The shortened matches where the Duckworth/Lewis method was present have been excluded along with the t20 matches involving non-test playing nations (ICC Associates); the latter disqualification is in place to ensure matches are of a consistently high standard. Since scoring patterns in the second innings show a level of dependency to the number of runs scored by Team 1, consider first innings data only in the examination of t20 scoring patterns. Note that in their development of a simulator for one-day cricket match results, Swartz et al (2009) consider batting behaviour in the second innings. Match summary results are obtainable from ESPN Cricinfos statistics website but this study calls for ball-by-ball data. For this, Stephen Lynch (statistician) took pains to compose the associated commentary log for each match and store the data in a tabular form for easy access. For each match, define z(u,w(u)) as the runs scored from the point in the first innings where u overs remain and w(u) wickets have been taken until the conclusion of Team 1s innings. Calculate z(u,w(u)) for all values of u that occur in the first innings for each match beginning with u=20 and w(u)=w(20)=0. Next calculate the matrix T=(tuw) where tuw is the estimated percentage of resources remaining when u overs are available and w wickets have been taken. Calculate (100%) tuw by averaging z(u,w(u)) over all matches where w(u)=w and dividing by the average of z(20, 0) over all matches; the denominator is the average score by a side batting first in a t20 match. In the case of u=0, set tuw=t0w=0.0%. Table 3 displays the matrix T, an initial attempt at a resource table for t20. Note that t20,0=100% as desired. Although T is a non-parametric estimate of resources and makes no assumptions concerning the scoring patterns in t20, it is less than ideal. First, there are many table entries where there are missing data for the given situation. In addition, Table 3 does not exhibit the monotonicity expected. Logically, there is a requirement for a resource table that is non-decreasing from left to right along rows and a requirement for a resource table that is non-decreasing down columns. Also o bserve some conspicuous entries in Table 3, particularly the entry of 110.2% resources corresponding to 19 overs available and two wickets taken. This entry is clearly misleading and should be less than 100%. It arises due to the small sample size (three matches) corresponding to the given situation. For this non-parametric resource table (upcoming), the estimation procedure is robust to observations based on small sample sizes as the surrounding observations based on larger sample sizes have greater influence in the determination of the table. Therefore, there is retention of conspicuous observations such as 110.2%. This investigation of Duckworth/Lewis in Twenty20 should be viewed as one of discovery rather than an attempt to replace the Duckworth/Lewis table. Table 3. The matrix R=(r ow) of estimated resources for Twenty20 Overs available Wickets lost 0 1 2 3 4 5 6 7 8 20 100.0 19 93.6 83.0 110.2 18 90.4 85.8 78.3 17 86.7 80.5 82.8 53.7 16 81.7 74.5 81.9 70.7 32.8 15 76.5 71.4 71.5 65.9 59.9 14 68.3 69.1 67.6 66.2 58.4 13 63.8 68.2 62.4 62.9 59.0 24.3 12 62.1 62.3 60.6 57.3 58.8 44.1 11 60.5 56.3 57.0 53.6 61.0 39.7 10 57.6 49.6 52.1 52.8 48.1 38.6 41.0 35.2 9 54.9 52.1 43.6 49.0 44.1 33.8 35.0 29.7 8 51.0 46.4 41.7 42.2 41.2 36.7 27.5 28.7 7 48.6 45.8 38.9 35.9 39.1 34.8 24.1 25.5 6 54.0 37.9 36.6 30.3 36.2 31.3 20.9 21.4 26.7 5 44.0 32.5 25.4 28.7 29.4 23.9 17.1 14.9 4 28.2 23.4 22.5 22.2 20.9 14.3 10.6 3 20.6 19.9 16.9 17.8 15.8 12.4 7.6 2 21.2 17.6 11.9 13.4 10.6 11.0 7.2 1 8.7 5.2 7.3 6.0 5.5 6.0 à The table entries indicate the percentage of resources remaining in a match with the specified number of wickets lost and overs available. Note: Missing entries correspond to match situations where data are unavailable. To impose the monotonicity constraints in the rows and columns, refer to the general problem of isotonic regression. For these purposes, consider the minimisation of with respect to the matrix Y=(yuw) where the double summation corresponds to u=1,ââ¬â°Ã¢â¬ ¦,ââ¬â°20 and w=0,ââ¬â°Ã¢â¬ ¦,ââ¬â°9, the quw are weights and the minimisation is subject to the constraints yuwgreater than or equal toyu,w+1 and yu,wgreater than or equal toyuâËâ1,w. In addition, impose y20,0=100, y0,w=0 for w=0,ââ¬â°Ã¢â¬ ¦,ââ¬â°9 and yu,10=0 for u=1,ââ¬â°Ã¢â¬ ¦,ââ¬â°20. Although the fitting of Y is completely non-parametric, there are some arbitrary choices that have been made in the minimisation of (2). First, not only was the choice of squared error discrepancy in (2) convenient for computation, minimisation of the function F with squared error discrepancy corresponds to the method of constrained maximum likelihood estimation where the data ruw are independently normally distributed with means yuw and variances 1/quw. Second, a matrix Y: 20 10 based on overs is chosen. Alternatively, a larger matrix Y: 120 10 based on balls could have been considered. The overs formulation is preferred as it involves less missing data and leads to a less computationally intensive optimization. With a matrix Y based on overs, it is possible to interpolate on a ball-by-ball basis if required. Third, a simple choice has been made with respect to the weights quw. 1/quw is set equal to the sample variance used in the calculation of ruw divided by the sample size. The rationale is that when ruw is less variable, there is stronger belief that yuw should be close to ruw. Table 4 gives a non-parametric resource table based on the minimisation of (2). An algorithm for isotonic regression in two variables was first introduced by Dykstra and Robertson (1982). Fortran code was subsequently developed by Bril et al (1984). An R code implementation has been used that is available from the Iso package on the Cran website (www.cran.r-project.org). The programme requires 27 iterations to achieve convergence. What is unsatisfactory about Table 4 is that it suffers from the same criticism that was directed at the Duckworth-Lewis resource table. There is a considerable number of adjacent entries in Table 4 that have the same value. Again, it is not sensible for resources to remain constant as available overs decrease or wickets increase. The problem is that in the minimization of (2), various fitted ys occur on the boundaries imposed by the monotonicity constraints. Table 4 is also unsatisfactory from the point of view that it is incomplete; missing values corresp ond to match situations where data are unavailable. To address the above criticisms, it is necessary take a slightly different approach to estimation. As previously mentioned, it can been seen that (2) arises from the normal likelihood Therefore, consider a Bayesian model where the unknown parameters in (3) are the ys. A flat default prior is assigned to the ys subject to the monotonicity constraints. It follows that the posterior density takes the form (3) and that Gibbs sampling can be carried out via sampling from the full conditional distributions subject to the local constraints on yuw in the given iteration of the algorithm. Sampling from (4) is easily carried out using a normal generator and rejection sampling according to the constraints. Although in statistical terminology, (3) takes a parametric form, the approach is referred to as non-parametric since no functional relationship is imposed on the ys. Table 4. A non-parametric resource table for Twenty20 based on isotonic regression Overs available Wicket lost 0 1 2 3 4 5 6 7 8 20 100.0 19 93.6 85.5 85.5 18 90.4 85.5 80.8 17 86.7 80.8 80.8 64.7 16 81.7 77.4 77.4 64.7 55.9 15 76.5 71.5 71.5 64.7 55.9 14 68.8 68.8 67.6 64.7 55.9 13 66.6 66.6 62.6 62.6 55.9 38.4 12 62.2 62.2 60.6 57.3 55.9 38.4 11 60.5 56.8 56.8 54.8 54.8 38.4 10 57.6 52.1 52.1 52.1 48.1 38.4 34.1 29.3 9 54.9 52.1 46.5 46.5 44.1 36.3 34.1 29.3 8 51.0 46.4 42.0 42.0 41.2 36.3 28.6 28.6 7 48.6 45.8 38.9 37.3 37.3 34.8 25.3 25.3 6 39.7 39.7 36.6 32.8 32.8 31.3 23.0 21.4 21.4 5 39.7 32.5 28.0 28.0 28.0 23.0 17.1 15.5 4 27.9 23.4 22.5 22.2 20.9 14.3 10.7 3 20.7 19.9 17.4 17.4 15.8 12.4 7.7 2 20.7 17.6 12.5 12.5 10.8 10.8 7.2 1 8.7 6.6 6.6 6.0 5.7 5.7 The table entries indicate the percentage of resources remaining in a match with the specified number of wickets lost and overs available. Missing entries correspond to match situations where data are unavailable. In Table 5, the estimated posterior means of the ys obtained through Gibbs sampling are given, and these provide an alternative resource table for t20. The computations pose no difficulties and the estimates stabilize after 50,000 iterations. For cases of missing data, the Duckworth/Lewis table entries are used to impute the missing rs. The imputation is in the spirit of a Bayesian approach where prior information is utilised. Unlike Table 4, Table 5 is a complete table. Also, there are no longer adjacent table entries with identical values and this is due to the sampling approach. Finally, it can be stated that the methodology allows the input of expert opinion. For example, suppose that there is expert consensus that a table entry yij ought to be tied down to a particular value a. To force this table entry, all that is required is to set rij=a and assign a sufficiently small standard deviation Unfortunately we are unable to provide accessible alternative text for this. If you requi re assistance to access this image, please contact [emailprotected] or the author Table 5. A non-parametric resource table for Twenty20 based on Gibbs sampling Overs available Wickets lost 0 1 2 3 4 5 6 7 8 20 100.0 96.9 93.0 87.9 81.3 72.2 59.9 44.8 29.7 19 95.6 90.9 87.7 83.0 76.9 68.3 56.5 42.0 27.2 18 91.7
Sunday, January 19, 2020
Properties of Gases Essay
Introduction Background This report covers Properties of Gases and will allow me the opportunity to explore chemical and physical properties of gases. Collection and use of these gases will also be conducted in this lab. Statement of Problem Collecting gases is a difficult process. Singling out a gas and obtaining only that gas is the challenge we face in this experiment. Purpose of Experiment The purpose of this experiment is use water, chemicals and metals along with collection tubes to extract a single gas and to store it. Then to use only that gas and see how it responds to other testing. Hypothesis If the gases are correctly singled out and collected properly. We should be able to observe changes when the gases are introduced to heat or fire. Experiment Test tubes will be used to single out gases from two forms of metals along with an acid and hydrogen peroxide. Baking soda, vinegar, alka seltzer, bromthymol blue and limewater will also be used to observe the properties of gases. Data Charts Page 2 LabPaq ââ¬â Properties of gases General Chemistry Analysis Error and Trends When attempting to mix the Hydrogen and Oxygen together. I may have lost a small amount of hydrogen as I lifted the bulb filled with 2/3 hydrogen from the 24-well plate. I did not receive a reaction when I squeezed the bulb of hydrogen oxygen onto the flame. Hypothesis Conclusion It was challenging using my thumb to try and hold the gases in their pipet bulbs. I repeated a few of the experiments to make sure I received the same results and feel fairly confident that I obtained the results that were expected. Practical Applications Parts of this experiment used household items to collect data from. Learning the gas properties these household items contain is invaluable. Page 3
Saturday, January 11, 2020
A Poem Analysis Essay
Langston Hughesââ¬â¢ ââ¬Å"Let America Be America Againâ⬠reveals the dismay of the speaker about the social condition of America at the time and how the country is yet to attain its reputation as the home of the free. Written from the first-person point of view, the speaker vents out frustration at the racial inequalities that cut across American society while expressing hope that ââ¬Å"America will beâ⬠the America that the ââ¬Å"dreamers dreamedâ⬠at the same time. Generally, the speaker aims his or her criticisms to no particular individual but the entire American society. Taken in the context of the bitterness of the tone of the poem especially in the parts where the speaker narrates whose voices he or she is representing, the speaker directs his or her attention to the reader who may not at all be aware of the social conditions pervading America at the time. Interestingly, the tone of the poem is not bitter or frustrated throughout the entire length of the poem. The poem begins with several stanzas that are imbued with emotionless force, proceeds with what appears to be the very meat of the poemââ¬âthe disappointment towards the selfishness for power and property that takes away the very freedom that every American yearns forââ¬âand concludes with a fervent hope in the belief that America will rise from the din and reclaim its status as the ââ¬Å"homeland of the freeâ⬠. In summary, the poem shows how the speaker sees Americaââ¬âa country that never was the country the speaker envisions it to be. The speaker presents a rundown of the people in America who are at the center of the problemââ¬âthe ââ¬Å"poor white,â⬠the ââ¬Å"Negro,â⬠the ââ¬Å"red manâ⬠and the ââ¬Å"immigrant clutching the hope I seekâ⬠ââ¬âall of whom are experiencing almost the same fate of inequalities. Nearing the end of the poem, the speaker expresses his or her belief that America is ââ¬Å"the land that has never been yetâ⬠and ââ¬Å"yet must beâ⬠, which signifies the speakerââ¬â¢s hope that someday ââ¬Å"America will beâ⬠. With these things in mind, it is easy to understand that the poemââ¬â¢s theme revolves around the concept of ââ¬Å"hopeâ⬠. By introducing the poem with a series of expectations and following them with a sequence of how such expectations have been unfulfilled, the speaker effectively sets the space for an ending that pins the very motive of the length of the poem. A close reading of the poem shows that the Langston Hughes achieved his purpose of letting hope become known to his readers, the hope that, despite Americaââ¬â¢s social inequalities at the time, there will come a time that the country will satisfy its label as the ââ¬Å"homeland of the freeâ⬠. On a personal note, I think still applies today than it once did during the time of Hughes. I think the lines ââ¬Å"the millions who have nothing for our payâ⬠and ââ¬Å"of dog eat dog, of mighty crush the weakâ⬠still closely resemble contemporary America. The current financial crisis sweeping across the country can only indicate how millions of Americans are still struggling to earn at least a decent pay, and how one person will take advantage of another just to survive in these harsh and trying times. Those things being said, there is strong reason to believe that the poem overarches from the past to the present. Hughes may not have been aware of it, but his poem is as timely now as it used to be in the past. Although there are several other significant differences between the time of Hughes and contemporary America, ââ¬Å"Let America Be America Againâ⬠is one of the poems that remind the average individual that America remains a country always on the quest for a more perfect union. Work Cited Hughes, Langston. ââ¬Å"Let America Be America Againâ⬠. 1994. May 11 2009. .
Friday, January 3, 2020
Depression, Anxiety, And Eating Disorders - 2472 Words
In todayââ¬â¢s society, there is a never ending change to standards. One moment one style or trend would be acceptable and the next it would be unacceptable. Thus that is why a lot of young people compare themselves with societyââ¬â¢s standards. This strays into a current worldwide issue right now, which is mental illnesses. Mental Illnesses such as anxiety, depression, Obsessive Compulsive Disorder (OCD), substance abuse, eating disorders, or ADHD are just the brink of this horrible world of illnesses. The definition of a mental illness is a disorder that affects your mood, thinking, and behaviour. Which is why when we consider and look at what these illnesses are doing to the young minds of this generation, we see that it is quickly devouringâ⬠¦show more contentâ⬠¦Imagine how much different type of mental illnesses there are. Donââ¬â¢t forget that every day, this number is substantially increasing as more young teens are being exposed to the illness in everyday lif e. One bad experience can lead the person to never try that thing ever again and if itââ¬â¢s a requirement, anxiety appears for that individual. Many people experience anxiety disorder very differently which is why anything can trigger anyone so you have to be mindful of what you say or do. The majority of people experiencing this disorder undergo physical and cognitive symptoms such as higher increase heartbeat rhythms, sweating in multiple areas, and sometimes major bodily function shutdowns resulting in the person to breakdown and in extreme situations to black out. In my experiences with this disorder I experience both symptoms of physical and mentally, my heartbeat definitely increases, sweaty palms occur, and my body temperature would heat up really high. Inside my mind I have anxious thoughts such as Iââ¬â¢m such a mess and Iââ¬â¢m not in control. I have some friends so go through this every day, as one of my friends suffers a more extreme case in that she faints due to the amount of anxiety and fear that is building up within her. Depression is one of the most
Wednesday, December 25, 2019
Human Resource Management - 2051 Words
Table of content 1.0 Introduction The term human resource management (HRM) refers to the design and application of formal systems in an organization to ensure the effective and efficient use of human talent to accomplish organizational goals (Robert, L. M. John, H. J., 2002). This system includes activities undertaken to attract, develop, and maintain an effective workforce. Managers have to play an active role in recruiting and selecting the right employees, developing effective training programs, or creating appropriate performance appraisal systems. Today, more than ever, strategic decisions are related to human resource consideration. In many companies, especially those that rely more on employee information, creativity,â⬠¦show more contentâ⬠¦3.1 Finding the right people Finding the right people to fit the current situation rather than beyond their current level of job duties. Underlying the organizationââ¬â¢s effort to attract employees is a matching model. With the matching model, the organization and the individual attempt to match the needs, interests, and value that they offer each other (James, G. M. Herbert, A. S., 1958). For example, a large manufacturer can only need those possess know-how ability, and can observe their regulations, they donââ¬â¢t need a high education person, as for an engineer who would thrive working for the software developer might feel stymied and unhappy working for a large manufacturer. Both the company and the employee are interested in finding a good match. 4.0 The benefits of training employees A well-trained, multiskilled workforce is essential to economic survival. Moreover many employees now look to the company they work for to provide them with growth and learning opportunities to improve their employability (Garger, E. M., 1999). Research shows that investments in human resources are a potential source of competitive advantage and have a positive relationship with share market performance and profits (Huselid, M., Jackson, S. E. Schuler, R. S., 1997). Then, letââ¬â¢s explore the benefits of effectiveShow MoreRelatedHuman Resources Management : Human Resource Management1140 Words à |à 5 Pagesa business efficiently? Human Resource Management (HRM). Human Resources is the solid foundation that practically oversees the entire organization, whether its managing employees to surveilling the progress of every single department. There are six principle functions that Human Resource take into account: employee relations, recruitment, compliance, com pensation and benefits, training and development, and safety (policies/regulations). Over time Human Resource Management has taken a new role intoRead MoreHuman Resources Management And Human Resource Management2123 Words à |à 9 PagesIntroduction The study of human resource management becomes a major topic of the science of management at the beginning of 20th century and keeps attracting researchersââ¬â¢ attention (Merkle, 1980). The new models of human resource management derive from the advance of management theories and the accumulation of practices and experiences. With the development of global economy, the economic situation of each country deeply affects the world and becomes closely connected. In addition, the needs of customersRead MoreHuman Resources Management : Human Resource Management1138 Words à |à 5 PagesHuman Resources Management Hilti continues to grasp on success and expand globally, but their path werenââ¬â¢t always well defined. The company began in 1941 and historically theyââ¬â¢ve kept to traditional strategies when it came to recognizing human resource requirements. In the early 2000ââ¬â¢s, the company established a new set initiatives, aimed at doubling revenue and operating profits. Hilti also recognized that this type of growth would require invigorating ideas to employ human resourcing requirementsRead MoreHuman Resource Management And Human Resources Management941 Words à |à 4 PagesHuman Resources Management is one of the most important aspects of any organization, whether it be non-profit, not for profit, or profit. Human Resources Management is what makes it possible for a manager to be able to focus on their work and tasks at hand and not have to deal with lots of unneeded interpersonal activities. They are in charge of correctly evaluating the candidates that the managers will have to work with for the duration of the candidateââ¬â¢s stay. They are responsible for makingRead MoreHuman Resources Management : Human Resource Management835 Words à |à 4 PagesHuman Resource Management ââ¬Å"They humanize the brand and help workforce communities thriveâ⬠(Who). A human resource management position may be the job for you. Every business and enterprise has a human resource manager, including Starbucks, Disney and even Apple. This job includes planning and coordination, organization, consulting employees and to oversee the work and employees. All the schooling and stress that comes along with this occupation pays off in the end with an enjoyable job. HumanRead MoreHuman Resources Management : Human Resource Management1398 Words à |à 6 Pages Human Resource Management Overview Tanya Phillips Dr. Andrea Scott, PhD HSA 320, Strayer University October 31, 2016 Human Resources Management Overview Human resources (HR) is the different kinds of clinical and nonclinical responsibilities for public and individual health involvement. The benefits and performance the system can deliver depends upon the knowledge, skills and motivation of those responsible for providing health services. Human resource managers donââ¬â¢t directlyRead MoreHuman Resources Management : Human Resource Management2534 Words à |à 11 PagesIn most cases managers look at human resource management as an expense to a company rather than a source of benefit to the company however, research has proved that human resource management practices can be of greater value. Valuable decisions such as whom to recruit, what package to offer, the training necessary for the new recruits and how to assess employee performance directly affects the employee motivation and as such do affect the ability of the employee to provide products which the consumersRead MoreHuman Resources Management : Human Resource Management95 8 Words à |à 4 PagesHuman Resource Management Overview As we all know when it comes to every business and organization that is out there, they all need help from Human Resources to continue to help the company grow. What is human resource management? Well Human Resource Management is the overall process that deals with how Human Resources manages their employees as well as different issues that can come across within the organization. Human Resource Management are in charge of different tasks including recruiting asRead MoreHuman Resources Management : Human Resource Management820 Words à |à 4 PagesHuman Resources Management Proper Planning is one of the most important aspects of human resource management. Without proper execution of plans, the particular needs of an organization that are the responsibility of human resources will not be reached, and therefore, will fall short of what is necessary for meeting the goals of an organization (DeCenzo, Robbins Verhulst 2013).There are many facets a human resource manager must be familiar with in order to run an organization. The functions of humanRead MoreHuman Resource Management : Human Resources Management1264 Words à |à 6 Pagesand research with my family, I decided to go into human resource management, specifically in a hospital. Many people questioned and often said ââ¬Å"Why human resource management?â⬠My answer, I chose human resource managers because I believe they are a vital part of a hospitals success. They make the plans, they direct the staff and they coordinate how people work together and where they need to be. Throughout this paper , I will describe human resource managers- what they do, what are the requirements
Tuesday, December 17, 2019
What Makes A Successful Argument - 927 Words
What makes a successful argument? An argumentative essay is similar to any other essay. The writing process may vary, but only slightly to meet the demands of an argument. When writing a convincing argumentative essay, one must first choose a topic and then think about that chosen topic, draft a thesis statement, understand the intended audience, gather evidence, refute opposing arguments, revise the thesis statement, establish credibility, draft the essay, revise the essay, and finally polish the essay. By implementing these steps one is sure to write a convincing argument. When writing an argumentative essay, one must first choose a topic of significance, a topic that the writer has an emotional tie with. The topic is to be tapered down from the unspecific idea. Clichà © topics are to be avoided such as the death penalty and abortion rights. Before beginning the writing process, thinking about the chosen topic is essential. Invention strategies such as freewriting, brainstorming, clustering, and informal outlines are also used to gather further ideas. At this point, a topic is already chosen and a thesis statement is ready to be made. The thesis statement tells the reader what your position on the topic will be. An argumentative thesis is unlike other thesis statements. Instead of stating the topic, an argumentative essays thesis should convey the writers point. The thesis statement should be precise and to the point. It should also show the readers what position willShow MoreRelatedRealists Vs. Scientific Theory930 Words à |à 4 Pagesby pointing to the increasing success of science. This requires that there be a reasonable inference from a scientific theory s success to its approximate truth. The argument that realists are trying to make is that the best explanation of a scientific theory s success is that it is true. Larry Laudan refutes the realists argument from the success of science. To do this, he characterize his opposition as Convergent Epistem ological Realism. Convergent realism is a theory about the nature andRead MoreCritique of Rhetorical Appeals in A Call for Unity Essay1075 Words à |à 5 PagesA Call for Unity by Carpenter et al. makes use of logos and ethos to create a persuasive and convincing argument. By using these persuasive rhetoric appeals, Carpenter et al. manage to presents themselves and other non-Negro citizens in a favorable light by suggesting that they have expressed understanding (Carpenter et al. 1) and been responsible citizens (2). Negro citizens, however, are presented as opposition determined to undermine the principles of law and order and common sense (2)Read MoreArgument Of Larry Laudan s Pessimistic Meta Induction Essay1444 Words à |à 6 Pages This essay examines the argument of Larry Laudanââ¬â¢s Pessimistic Meta Induction (PMI.) The PMI states that due to the history of unsuccessful theories, the theories we currently believe are true most likely arenââ¬â¢t. I argue that the Pessimistic Meta Induction is fallacious, easily proven invalid by realist logic, and inapplicable to modern science. Due to advancements in science, arguments made in the PMI are no longer applicable, and several fallacies can be seen it as well including the turnoverRead MoreThe Future Of Higher Education Depends On Innovation1573 Words à |à 7 PagesInnovationâ⬠was clearly an argument for change, however, his article also aimed to start a discussion among his readers about the future and what may need to be done to ensure higher education be successful. To help create a discussion in his article, Doss interviewed Rick Beyer, a managing partner at Miles Howland Education Partners, an investment company thatââ¬â¢s main focus is o n higher education, and discussed Beyerââ¬â¢s current opinions, as well as his own, on higher education and what they see higher educationRead MoreI.Introduction. Famine Is A Highly Prevalent And Debated1106 Words à |à 5 Pagesthat the reasonable and well-thought Peter Singerââ¬â¢s argument is successful. II. Peter Singerââ¬â¢s Argument Peter Singer begins by laying out two basic premises: 1. Suffering and death from lack of food, shelter, and medical care are bad. 2. If one can prevent something bad from happening without sacrificing anything of comparable moral importance, one should do it. The first premise does not depend on ââ¬Å"any particular normative ethical theory about what goodness and badness areâ⬠(Hensley); i.e. it doesRead MoreOutliers, By Malcolm Gladwell1739 Words à |à 7 Pagesexplain the why the person was able to become an outlier or why the event occurred. In his book Gladwellââ¬â¢s argument is that background, birthdate, culture, time period, and hard work are all important in understanding the cause of an event or the success of an individual; he argues this by providing examples, identifying patterns in data, and connecting these together using logic to present his argument to readers. He begins all of his explanations by giving an example of a person or an event and tellingRead MoreExamples Of Political News1151 Words à |à 5 PagesDonald Trump becoming the President and what that meant for America. ââ¬Å"The Ingraham Angleâ⬠is hosted by Laura Ingraham and on this particular episode she was discussing the consequences that America was facing because of the United States Diversity Visa Program that it offers. While watching these shows I focused on how the hosts uses language while speaking towards their audience, their reasoning process and how they applied it towards their advantage , and what types of evidence that they used in orderRead MoreThe Controversy of Gay Parenting Essay972 Words à |à 4 Pagesparenting rights claim that as long as there is a commitment to parenthood then successful parenting is achievable as a homosexual or bi-sexual. Since within a gay couple there is no chance for accidental pregnancy, the couple must make a conscious deci sion to become a parent. People opposed to homosexual parenting argue that homosexual couples are not capable of having long enduring strong relationships required for the successful upbringing of children. They claim it is in the childs best interest toRead Morevicki hearne vs peter singer comparison essay782 Words à |à 4 PagesMoral Statusâ⬠, might indicate Hearneââ¬â¢s argument is stronger due to her strategic and effective use of emotional appeals (i.e. pathos). These appeals allow Hearne to connect quickly and easily with her audience. Hearne is also quite clever in terms of stressing her occupation as an animal trainer. However, after a swift comparison of the two articles, it is evident that Singerââ¬â¢s ââ¬Å"Speciesism and Moral Statusâ⬠offers readers a stronger and more valid argument. Both Singer and Hearne are arguing theirRead MoreAnalysis Of The Article Why Hominids And Space Go Together Essay1474 Words à |à 6 Pages Manned spaceflight is a cr ucial argument in society. Two writers, Seth Shostak and John Logsdon, both believe that America is making a mistake by ending manned space exploration. Seth Shostak is the author of the article ââ¬Å"Why Hominids and Space Go Togetherâ⬠in The New York Times Room for Debate; his article is about how President Obamaââ¬â¢s new vision for the NASA program is not a good plan. John Logsdon also wrote an article for The New York Times Room for Debate called ââ¬Å"American Patrimony.â⬠His article
Monday, December 9, 2019
Legallization of Marijuana anti Essay Example For Students
Legallization of Marijuana anti Essay Drug use is becoming more common today than in recent years. Almost anywhere we look, we can find some relation to drugs or drug paraphernalia. In fact, 63% of you stated in my survey that you had smoked marijuana in the past. That number is scary, since 81% of you are under 25 years of age and have your whole lives ahead of you. Some of you may be thinking So What Bill Clinton has admitted smoking marijuana, and he is President. Well, that surely is not a good attitude to have considering the damage that marijuana may cause to your body. Sure, many of you may not change your lifestyle after today, but I hope to make you think of what you may be getting yourself in to. This afternoon I will give you both sides of the issue. I will try to persuade you to stay away from marijuana in turning you against this dangerous drug. Many supporters of marijuana claim that hemp can be a very resourceful plant. Hemp is considered to contain less than one percent tetrahydrocannabinols (THC) (Pluff 1). THC is the psychoactive chemical found in marijuana. Hemp can be confused with marijuana and considered the same, but do not let this fool you. Marijuana comes from the flowers or buds of the hemp plant. These buds are what contains the THC and gives the user the high effect (Pluff 1). Other nations such as Europe have registered varieties of hemp seeds that contain less than .03 percent of THC including the buds (Pluff 1). Now that you know what hemp is, lets look at its uses. Hemp fiber can be turned in to rope, canvas, and paper, and this is only a few of the uses. The rope that is made with hemp is said to be resistant to both fresh water and salt water. It is also considered better than most conventional rope by its strength and holding power. Another product that can be made from hemp is canvas. This canvas is very useful in making tents, sails, and even the covers on early settlers wagons. Like the rope, the canvas also stands up well against water, and ninety percent of ships sails were made of hemp canvas before the nineteenth century. The last product I am going to talk about is hemp paper. This paper is much softer than conventional paper, and it is stated that, one acre of hemp can replace four acres of forest (Pluff 2). This paper also does not yellow or crumble with age, a common complaint with conventional paper (Pluff 1). You may be wondering why such a useful plant is illegal, well let me tell you the other side of the story. Marijuana is said to be useful in the medical field as a cure for some disease. It is also an argument that smoking marijuana does not cause any side affects. I will prove this to be untrue, and a myth of society. The first claim by the supporters of marijuana is for medical reasons. Through much research doctors have found that marijuana may be a treatment for such illnesses as glaucoma, cancer, and acquired immune deficiency syndrome (AIDS). In fact, Proposition 215 just passed in California and Arizona giving citizens the right to smoke marijuana for medical reasons (Medical 1). One thing that is overlooked with this is that marijuana is not a cure, but a relief from the pain suffered by these citizens. If it is a relief from pain the sufferer is looking for, there are many other options to consider before choosing something as dangerous as marijuana. It only takes a little common sense to figure that something that is considered illegal by the Federal Government could not be used as a cure for any illness. Wisconsin lists marijuana under Schedule I of the Uniformed Controlled Substance Act. This means that any drugs under Schedule I, including marijuana, are not useful in curing any known illness. Schedule I is also where all the most serious drugs are listed. This puts marijuana in the same class with heroin and cocaine. Another problem with marijuana is the affects on the male and female body. One way frequent marijuana use affects males is by Gynecomastia. Gynecomastia is the enlargement of the male breast tissue (Jones 51). This disease is not well known to the general public. This may be because males who get the disease usually keep the symptoms to themselves and not risk embarrassment. The next problem with males and marijuana is the reduction of their sperm count. Sperm counts in males were measured, and after a month of heavy smoking the sperm count was reduced by as much as 70 percent (Jones 62). Along with the reduction of the sperm count, the male has a reduction of testosterone. Testosterone is the principal male hormone and responsible for the growth of the male reproductive system. This drop in the sperm count and reduction of testosterone may not see m too important now but like I mentioned before, 81 percent of you are under age 25 and this may affect your lives dramatically in the future. Marijuana affects females by disrupting nerve pathways in the brain which may lead to infertility. A study done on monkeys at the University of California at Davis, showed that when the female monkeys were given increased amounts of THC they were more likely to neglect their offspring (Jones 71). A problem with marijuana use by pregnant females is the possibility that the baby may me born with deformities or even stillborn (Jones 72). Females have also shown an increase in testosterone levels which is the opposite of the male user. An affect that takes no side in users of marijuana is short term memory loss. (Ray 435). In everyday use, the marijuana user has a hard time recalling information that they may have just learned minutes before. The frequent user may also experience loss in time sense. With this the marijuana user feels that more ti me has passed than actually has elapsed. The final thing usually affected is tracking behavior. This may lead to crashing a motor vehicle because the impaired driver could not keep their attention on the road in which they were driving. .ufda649d45e836241998762651b45236b , .ufda649d45e836241998762651b45236b .postImageUrl , .ufda649d45e836241998762651b45236b .centered-text-area { min-height: 80px; position: relative; } .ufda649d45e836241998762651b45236b , .ufda649d45e836241998762651b45236b:hover , .ufda649d45e836241998762651b45236b:visited , .ufda649d45e836241998762651b45236b:active { border:0!important; } .ufda649d45e836241998762651b45236b .clearfix:after { content: ""; display: table; clear: both; } .ufda649d45e836241998762651b45236b { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .ufda649d45e836241998762651b45236b:active , .ufda649d45e836241998762651b45236b:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .ufda649d45e836241998762651b45236b .centered-text-area { width: 100%; position: relative ; } .ufda649d45e836241998762651b45236b .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .ufda649d45e836241998762651b45236b .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .ufda649d45e836241998762651b45236b .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .ufda649d45e836241998762651b45236b:hover .ctaButton { background-color: #34495E!important; } .ufda649d45e836241998762651b45236b .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .ufda649d45e836241998762651b45236b .ufda649d45e836241998762651b45236b-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .ufda649d45e836241998762651b45236b:after { content: ""; display: block; clear: both; } READ: Book report boundaries EssayTo sum it all up, marijuana use is increasing among individuals. Almost everywhere we look there is support for this drug. This does not make sense in a society that is hung up on looking good and living a full life. Everyday we are making improvements to our society and making America a better place to live. I feel that with the legalization of marijuana we will begin to take a step backwards. One can only wonder, if marijuana was legalized what would drug supporters pick next. And remember that when the commercial says This buds is for you do not believe them, just say no! Jones, and Lovinger, Paul W. The Marijuana Question. New York: Dodd, Me ad ; Company, 1985. Levin, Peter A. Contemporary Problems of Drug Abuse. Massachusetts: Publishing Sciences Medical Marijuana Initiative Proposition 215 home page. Intro. to Medical Marijuana Prop. 215Nowlis, Helen. Drugs demystified. Paris: The Unesco Press, 1975. Ray, Oakly Stern. Drugs, Society, ; Human Behavior. Missouri: Mosby, 1983. Bibliography:Works CitedJones, and Lovinger, Paul W. The Marijuana Question. New York: Dodd, Mead ; Company, 1985. Levin, Peter A. Contemporary Problems of Drug Abuse. Massachusetts: Publishing Sciences Group, Inc,1974Medical Marijuana Initiative Proposition 215 home page. Intro. to Medical Marijuana Prop. 215 http://www.prop215.orgNowlis, Helen. Drugs demystified. Paris: The Unesco Press, 1975. Ray, Oakly Stern. Drugs, Society, ; Human Behavior. Missouri: Mosby, 1983.
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