Saturday, November 30, 2019

Marijuana Essays (744 words) - Cannabis, Herbalism, Medicinal Plants

Marijuana Cannibis Sativa Throughout history marijuana has been used to serve various purposes in many different cultures. The purposes have changed over time to fit in with the current lifestyles. This pattern is also true in American history. The use of marijuana has adapted to the social climate of the time. Marijuana, whose scientific name is cannibis sativa, was mentioned in historical manuscripts as early as 2700 B. C. in China. (Grolier Electronic Encyclopedia, 1995). The cultivation of the marijuana plant began as far back as the Jamestown settlers, around 1611, who used hemp produced from the marijuana plant's fibers to make rope and canvas. It was also used in making clothing because of it's durability. These uses fit in with the social climate of the time, because the main focus was on survival rather than for psychoactive purposes. During the prohibition, marijuana was widely used because of the scarcity of alcohol. Prohibition was repealed after just thirteen years while the prohibition against marijuana lasted for more than seventy five years. This double standard may have resulted from the wishes of those in power. Alcohol prohibition struck directly at tens of millions of Americans of all ages, including many of societies most powerful members. Marijuana prohibition threatened far fewer Americans, and they had relatively little influence in the districts of power. Only the prohibition of marijuana, which some sixty million Americans have violated since 1965 has come close to approximating the prohibition experience, but marijuana smokers consist mostly of young and relatively powerless Americans (American Heritage, pg 47). Alcohol prohibition was repealed and marijuana prohibition was retained, not because scientists had proved that alcohol was the less dangerous of the various psychoactive drugs, but because of the prejudices and preferences of most Americans (American Heritage, pg 47). In 1937 the government issued the Marijuana Tax Act, which levied a dollar an ounce tax on marijuana, coupled with fines of $2,000 for drug posession and jail sentences for evasion of the tax. For this reason marijuana use in the United States appears to have gone into decline in the late 30's (Grolier Wellness Encyclopedia, pg 54). Then marijuana was outlawed in 1937 as a repressive measure against Mexican workers who crossed the border seekingjobs during the Depression. The specific reason given for the outlawing of the hemp plant was it's supposed violent "effect on the degenerate races" (Schaffer, pg. 86). Beginning in the 60's marijuana use saw a resurgence which may be attributed to many causes. One of the main causes was the rebellion of youth against the Vietnam War. They used marijuana as an escape from war to peace. It was easy at this time to depict marijuana as a beneficial and completely harmless substance whose effects were far less harmful than those of legal drugs such as alcohol and nicotine because there was not enough scientific research done during the 60's (Grolier Wellness Encyclopedia, pg 54). Another cause may have been the discovery of the psychoactive component of marijuana- tetrahydrocannabinol, commonly known as THC. Users found the relation between the doses and the effects (Grolier Electronic Publishing, 1995). The current atmosphere provides for doctors to suggest synthetic marijuana (THC) in a pure and standardized form by perscription (called Marinol) for the treatment of nausea associated with cancer chemotherapy. Also, although there is no scientific evidence that shows marijuana is beneficial in the treatment of glaucoma, it may prevent the progression of visual loss. Marijuana, along with alcohol and a host of other substances, can actually lower intraocular eye pressure. The mediction however, must be carefully tailored to the individual to prevent further eye damage. The evidence has clearly shown that marijuana has been around for a great deal of time and has served multiple purposes throughout history. Karen Sipes Dana Pentoney Jeni Roane Sources Grolier Electronic Encylopedia, Electronic Publishing, Inc., 1995 Grolier Wellness Encyclopedia, Drugs, Society & Behavior. Vol. 3, 1992. Ethan A. Nadelmann, American Heritage Magazine, Feb-Mar, 1993. Medical Marijuana, http://www.lec.org/Drug_Watch/ Public/Documents/Med_Marijuana_Paper.htm, 1995.

Tuesday, November 26, 2019

Beyond Pythagoras  Essays

Beyond Pythagoras   Essays Beyond Pythagoras   Essay Beyond Pythagoras   Essay I have been asked to investigate Pythagorean triplets where the shortest side is an odd number and all the three sides are positive integers. A pythagorean triple is a set of integers (a,b,c) that specifies the lengths of a right angle triangle aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in which a is the shortest side b is the middle side and c is the hypotenuse. The first set of triples (3,4,5) which has already been proved to satisfy Pythagorass theory. I have also been given two other pythagorean triples (5,12,13) and (7,24,25) I will now prove these to satisfy Pythagorass theory aà ¯Ã‚ ¿Ã‚ ½ = 5à ¯Ã‚ ¿Ã‚ ½ =25 bà ¯Ã‚ ¿Ã‚ ½ = 12à ¯Ã‚ ¿Ã‚ ½ =144 cà ¯Ã‚ ¿Ã‚ ½ = 13à ¯Ã‚ ¿Ã‚ ½ =169 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =25+144 =169 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (5,12,13) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 7à ¯Ã‚ ¿Ã‚ ½ =49 bà ¯Ã‚ ¿Ã‚ ½ = 24à ¯Ã‚ ¿Ã‚ ½ =576 cà ¯Ã‚ ¿Ã‚ ½ = 25à ¯Ã‚ ¿Ã‚ ½ =625 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =49+576 =625 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (7,24,25) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. I am now going to put my results in to a table so that I can predict more values: a b c 3 4 5 5 12 13 7 24 25 I will now predict the next two values in the table so I can work out a general formula for this pythagorean family. By using the differencing method I can see that a has a difference of 2 between each pythagorean triplet I predict the next two a values to be 9 and 11 From the table I can also see that there is a quadratic sequence for the b value so I predict the next two values to be 40 and 60 Also from my table, I can see the c value is b+1 so my two next predictions Im going to prove are: a b c 9 40 41 11 60 61 aà ¯Ã‚ ¿Ã‚ ½ = 9à ¯Ã‚ ¿Ã‚ ½ =81 bà ¯Ã‚ ¿Ã‚ ½ = 40à ¯Ã‚ ¿Ã‚ ½ =1600 cà ¯Ã‚ ¿Ã‚ ½ = 41à ¯Ã‚ ¿Ã‚ ½ =1681 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =81+1600 =1681 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (9,40,41) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 11à ¯Ã‚ ¿Ã‚ ½ =121 bà ¯Ã‚ ¿Ã‚ ½ = 60à ¯Ã‚ ¿Ã‚ ½ =3600 cà ¯Ã‚ ¿Ã‚ ½ = 61à ¯Ã‚ ¿Ã‚ ½ =3721 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =121+3600 =3721 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (11,60,61) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. My table now looks like this: a b c 3 4 5 5 12 13 7 24 25 9 40 41 11 60 61 When looking at the table I found a pattern so I am going to prove if it will work. 3à ¯Ã‚ ¿Ã‚ ½ =9 -4-5 (3,4,5) 5à ¯Ã‚ ¿Ã‚ ½ =25 -12-13 (5,12,13) 7à ¯Ã‚ ¿Ã‚ ½ =49 -24-25 (7,24,25) 9à ¯Ã‚ ¿Ã‚ ½ =81 -40-41 (9,40,41) 11à ¯Ã‚ ¿Ã‚ ½ =121 -60-61 (11,60,61) aà ¯Ã‚ ¿Ã‚ ½ = b+c aà ¯Ã‚ ¿Ã‚ ½ = b+b+1 aà ¯Ã‚ ¿Ã‚ ½ + 2b+1 Now to prove if it will work for Pythagoras aà ¯Ã‚ ¿Ã‚ ½ aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ = (b+1) à ¯Ã‚ ¿Ã‚ ½ bà ¯Ã‚ ¿Ã‚ ½ aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ = bà ¯Ã‚ ¿Ã‚ ½=2b+1 b+1à ¯Ã‚ ¿Ã‚ ½ aà ¯Ã‚ ¿Ã‚ ½ = 2b + 1 aà ¯Ã‚ ¿Ã‚ ½-1=b 2 Pythagoras theory is satisfied So now with 5 triplets that I have proved I will now find a general formula to find other pythagorean triplets in this family. By looking at the table its obvious that the formulae for a is a=2n+1 Im now going to find the general formulae for the b and c value. (b+1) à ¯Ã‚ ¿Ã‚ ½ = (2n+1)à ¯Ã‚ ¿Ã‚ ½ + b bà ¯Ã‚ ¿Ã‚ ½+2b+1 = 4nà ¯Ã‚ ¿Ã‚ ½+4n+1+bà ¯Ã‚ ¿Ã‚ ½ bà ¯Ã‚ ¿Ã‚ ½+2b-bà ¯Ã‚ ¿Ã‚ ½ = 4nà ¯Ã‚ ¿Ã‚ ½+4n+1-1 2b = 4nà ¯Ã‚ ¿Ã‚ ½+4n b = 2nà ¯Ã‚ ¿Ã‚ ½+2n c = 2nà ¯Ã‚ ¿Ã‚ ½+2n+1 I now have the formulae: a =2n+1 b = 2nà ¯Ã‚ ¿Ã‚ ½+2n c = 2nà ¯Ã‚ ¿Ã‚ ½+2n+1 I am now going to prove that these formulae work aà ¯Ã‚ ¿Ã‚ ½ = (2n+1)à ¯Ã‚ ¿Ã‚ ½ ) bà ¯Ã‚ ¿Ã‚ ½ = (2nà ¯Ã‚ ¿Ã‚ ½+2n)à ¯Ã‚ ¿Ã‚ ½ ) cà ¯Ã‚ ¿Ã‚ ½ = (2nà ¯Ã‚ ¿Ã‚ ½+2n+1)à ¯Ã‚ ¿Ã‚ ½ = aà ¯Ã‚ ¿Ã‚ ½ = (2n+1) (2n+1) 4nà ¯Ã‚ ¿Ã‚ ½+2n+2n+1 4nà ¯Ã‚ ¿Ã‚ ½+4n+1 bà ¯Ã‚ ¿Ã‚ ½ = (2nà ¯Ã‚ ¿Ã‚ ½+2n) (2nà ¯Ã‚ ¿Ã‚ ½+2n) 4n +4nà ¯Ã‚ ¿Ã‚ ½+4nà ¯Ã‚ ¿Ã‚ ½+4nà ¯Ã‚ ¿Ã‚ ½ aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ = 4n + 8nà ¯Ã‚ ¿Ã‚ ½+8nà ¯Ã‚ ¿Ã‚ ½+2n+1 cà ¯Ã‚ ¿Ã‚ ½ = (2nà ¯Ã‚ ¿Ã‚ ½+2n+1) (2nà ¯Ã‚ ¿Ã‚ ½+2n+1) 4n + 4nà ¯Ã‚ ¿Ã‚ ½+2nà ¯Ã‚ ¿Ã‚ ½+ 4nà ¯Ã‚ ¿Ã‚ ½+4nà ¯Ã‚ ¿Ã‚ ½+2n+2nà ¯Ã‚ ¿Ã‚ ½+2n+1 4n + 8nà ¯Ã‚ ¿Ã‚ ½+8nà ¯Ã‚ ¿Ã‚ ½+2n+1 I will give an example of how to use the formulae for the 10th as the nth term: a =2n+1 =21 b = 2nà ¯Ã‚ ¿Ã‚ ½+2n = 220 c = 2nà ¯Ã‚ ¿Ã‚ ½+2n+1 = 221 the 10th pythagorean triple in this pythagorean family is (21,220,221) I am now going to investigate the 2nd pythagorean family. I will get this by doubling the values of the first family. (3,4,5) = (6,8,10) (5,12,13) = (10,24,26) (7,24,25) = (14,48,50) (9,40,41) = (18,80,82) (11,60,61) = (22,120,122) Using the internet for research I found out that there are in-between values so these are the pythagorean triples I have for this family now: (6,8,10) (8,15,17) (10,24,26) (12,35,37) (14,48,50) (16,63,65) (18,80,82) (20,99,101) (22,120,122) I will now prove that Pythagoras theorem holds for some of these pythagorean triplets. aà ¯Ã‚ ¿Ã‚ ½ = 6à ¯Ã‚ ¿Ã‚ ½ =36 bà ¯Ã‚ ¿Ã‚ ½ = 8à ¯Ã‚ ¿Ã‚ ½ =64 cà ¯Ã‚ ¿Ã‚ ½ = 10à ¯Ã‚ ¿Ã‚ ½ =100 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =36+64 =100 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (6,8,10) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 8à ¯Ã‚ ¿Ã‚ ½ =64 bà ¯Ã‚ ¿Ã‚ ½ = 15à ¯Ã‚ ¿Ã‚ ½ =225 cà ¯Ã‚ ¿Ã‚ ½ = 17à ¯Ã‚ ¿Ã‚ ½ =289 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =64+225 =289 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (8,15,17) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 10à ¯Ã‚ ¿Ã‚ ½ =100 bà ¯Ã‚ ¿Ã‚ ½ = 24à ¯Ã‚ ¿Ã‚ ½ =576 cà ¯Ã‚ ¿Ã‚ ½ = 26à ¯Ã‚ ¿Ã‚ ½ =676 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =100+576 =676 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (10,24,26) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. I am now going to find a general formula for the 2nd pythagorean family that I will name the b+2 family. From the values I have I know a = 2n+4 by using the differencing method I will now work out the b and c values. (b+2) à ¯Ã‚ ¿Ã‚ ½ = (2n+4)à ¯Ã‚ ¿Ã‚ ½ + b bà ¯Ã‚ ¿Ã‚ ½+4b+1 = 4nà ¯Ã‚ ¿Ã‚ ½+16n+16+bà ¯Ã‚ ¿Ã‚ ½ bà ¯Ã‚ ¿Ã‚ ½+4b-bà ¯Ã‚ ¿Ã‚ ½ = 4nà ¯Ã‚ ¿Ã‚ ½+16n+16-4 4b = 4nà ¯Ã‚ ¿Ã‚ ½+16n+12 b = nà ¯Ã‚ ¿Ã‚ ½+4n+3 c = nà ¯Ã‚ ¿Ã‚ ½+4n+5 I now have the formulae: a =2n+4 b = nà ¯Ã‚ ¿Ã‚ ½+4n+3 c = nà ¯Ã‚ ¿Ã‚ ½+4n+5 I am now going to prove that these formulae work aà ¯Ã‚ ¿Ã‚ ½ = (2n+4)à ¯Ã‚ ¿Ã‚ ½ ) bà ¯Ã‚ ¿Ã‚ ½ = (nà ¯Ã‚ ¿Ã‚ ½+4n+3)à ¯Ã‚ ¿Ã‚ ½ ) cà ¯Ã‚ ¿Ã‚ ½ = (nà ¯Ã‚ ¿Ã‚ ½+4n+5)à ¯Ã‚ ¿Ã‚ ½ = aà ¯Ã‚ ¿Ã‚ ½ = (2n+4) (2n+4) 4nà ¯Ã‚ ¿Ã‚ ½+8n+8n+16 4nà ¯Ã‚ ¿Ã‚ ½+16n+16 bà ¯Ã‚ ¿Ã‚ ½ = (nà ¯Ã‚ ¿Ã‚ ½+4n+3) (nà ¯Ã‚ ¿Ã‚ ½+4n+3) n +4nà ¯Ã‚ ¿Ã‚ ½+3nà ¯Ã‚ ¿Ã‚ ½+4nà ¯Ã‚ ¿Ã‚ ½+16nà ¯Ã‚ ¿Ã‚ ½+4n+12n+3nà ¯Ã‚ ¿Ã‚ ½+12n+9 n +8nà ¯Ã‚ ¿Ã‚ ½+22nà ¯Ã‚ ¿Ã‚ ½+24n+9 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ = n + 8nà ¯Ã‚ ¿Ã‚ ½+26nà ¯Ã‚ ¿Ã‚ ½+40n+25 cà ¯Ã‚ ¿Ã‚ ½ = (nà ¯Ã‚ ¿Ã‚ ½+4n+5) (nà ¯Ã‚ ¿Ã‚ ½+4n+5) n + 4nà ¯Ã‚ ¿Ã‚ ½+5nà ¯Ã‚ ¿Ã‚ ½+ 4nà ¯Ã‚ ¿Ã‚ ½+16nà ¯Ã‚ ¿Ã‚ ½+20n+5nà ¯Ã‚ ¿Ã‚ ½+20n+25 n + 8nà ¯Ã‚ ¿Ã‚ ½+26nà ¯Ã‚ ¿Ã‚ ½+40n+25 I will give an example of how to use the formulae for the 10th as the nth term: a =2n+4 =24 b = nà ¯Ã‚ ¿Ã‚ ½+4n+3= 143 c = nà ¯Ã‚ ¿Ã‚ ½+4n+5= 145 the 10th pythagorean triple in this pythagorean family is (21,220,221) I am now going to investigate the 3rd pythagorean family. I will get this by tripling the values of the first family. (3,4,5) = (9,12,15) (5,12,13) = (15,36,39) (7,24,25) = (21,72,75) (9,40,41) = (27,120,123) (11,60,61) = (33,180,183) I will now prove that Pythagoras theorem holds for these pythagorean triplets. aà ¯Ã‚ ¿Ã‚ ½ = 9à ¯Ã‚ ¿Ã‚ ½ =81 bà ¯Ã‚ ¿Ã‚ ½ = 12à ¯Ã‚ ¿Ã‚ ½ =144 cà ¯Ã‚ ¿Ã‚ ½ = 15à ¯Ã‚ ¿Ã‚ ½ =100 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =81+144 =225 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (9,12,15) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 15à ¯Ã‚ ¿Ã‚ ½ =225 bà ¯Ã‚ ¿Ã‚ ½ = 36à ¯Ã‚ ¿Ã‚ ½ =1296 cà ¯Ã‚ ¿Ã‚ ½ = 39à ¯Ã‚ ¿Ã‚ ½ =1521 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =225+1296 =1521 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (15,36,39) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 21à ¯Ã‚ ¿Ã‚ ½ =441 bà ¯Ã‚ ¿Ã‚ ½ = 72à ¯Ã‚ ¿Ã‚ ½ =5184 cà ¯Ã‚ ¿Ã‚ ½ = 35à ¯Ã‚ ¿Ã‚ ½ =5625 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =441+5184 =5625 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (21,72,35) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 27à ¯Ã‚ ¿Ã‚ ½ =729 bà ¯Ã‚ ¿Ã‚ ½ = 120à ¯Ã‚ ¿Ã‚ ½ =14,400 cà ¯Ã‚ ¿Ã‚ ½ = 123à ¯Ã‚ ¿Ã‚ ½ =15,129 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =729+14,400 =15,129 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (27,120,123) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. aà ¯Ã‚ ¿Ã‚ ½ = 33à ¯Ã‚ ¿Ã‚ ½ =1089 bà ¯Ã‚ ¿Ã‚ ½ = 180à ¯Ã‚ ¿Ã‚ ½ =32,400 cà ¯Ã‚ ¿Ã‚ ½ = 183à ¯Ã‚ ¿Ã‚ ½ =33,489 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ =441+5184 =5625 aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ so Pythagorass theory holds for (33,180,183) because they satisfy the condition of aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½=cà ¯Ã‚ ¿Ã‚ ½ in a right angled triangle. I am now going to find a general formula for the 3rd pythagorean family that I will name the b+3 family. From the values I have I have used the differencing method to find out that a = 6n+3 I will now work out the b and c values. (b+3) à ¯Ã‚ ¿Ã‚ ½ = (6n+3)à ¯Ã‚ ¿Ã‚ ½ + b bà ¯Ã‚ ¿Ã‚ ½+6b+1 = 36nà ¯Ã‚ ¿Ã‚ ½+36n+9+bà ¯Ã‚ ¿Ã‚ ½ bà ¯Ã‚ ¿Ã‚ ½+6b-bà ¯Ã‚ ¿Ã‚ ½ = 36nà ¯Ã‚ ¿Ã‚ ½+36n+9-9 6b = 36nà ¯Ã‚ ¿Ã‚ ½+36n b = 6nà ¯Ã‚ ¿Ã‚ ½+6n c = 6nà ¯Ã‚ ¿Ã‚ ½+6n+3 I now have the formulae: a = 6n+3 b = 6nà ¯Ã‚ ¿Ã‚ ½+6n c = 6nà ¯Ã‚ ¿Ã‚ ½+6n+3 I am now going to prove that these formulae work: aà ¯Ã‚ ¿Ã‚ ½ = (6n+3)à ¯Ã‚ ¿Ã‚ ½ ) bà ¯Ã‚ ¿Ã‚ ½ = (6nà ¯Ã‚ ¿Ã‚ ½+6n)à ¯Ã‚ ¿Ã‚ ½ ) cà ¯Ã‚ ¿Ã‚ ½ = (6nà ¯Ã‚ ¿Ã‚ ½+6n+3)à ¯Ã‚ ¿Ã‚ ½ = aà ¯Ã‚ ¿Ã‚ ½ = (6n+3) (6n+3) 36nà ¯Ã‚ ¿Ã‚ ½+18n+18n+9 36nà ¯Ã‚ ¿Ã‚ ½+36n+9 bà ¯Ã‚ ¿Ã‚ ½ = (6nà ¯Ã‚ ¿Ã‚ ½+6n) (6nà ¯Ã‚ ¿Ã‚ ½+6n) 36n +36nà ¯Ã‚ ¿Ã‚ ½+36nà ¯Ã‚ ¿Ã‚ ½+36nà ¯Ã‚ ¿Ã‚ ½ 36n +72nà ¯Ã‚ ¿Ã‚ ½+36nà ¯Ã‚ ¿Ã‚ ½ aà ¯Ã‚ ¿Ã‚ ½+bà ¯Ã‚ ¿Ã‚ ½ = 36n +72nà ¯Ã‚ ¿Ã‚ ½+72nà ¯Ã‚ ¿Ã‚ ½+36n+9 cà ¯Ã‚ ¿Ã‚ ½ = (6nà ¯Ã‚ ¿Ã‚ ½+6n+3) (6nà ¯Ã‚ ¿Ã‚ ½+6n+3) 36n + 36nà ¯Ã‚ ¿Ã‚ ½+18nà ¯Ã‚ ¿Ã‚ ½+36nà ¯Ã‚ ¿Ã‚ ½+36nà ¯Ã‚ ¿Ã‚ ½+18n+18nà ¯Ã‚ ¿Ã‚ ½+18n+9 36n + 72nà ¯Ã‚ ¿Ã‚ ½+82nà ¯Ã‚ ¿Ã‚ ½+36n+9 I will give an example of how to use the formulae for the 10th as the nth term: a = 6n+3 =63 b = 6nà ¯Ã‚ ¿Ã‚ ½+6n = 3660 c = 6nà ¯Ã‚ ¿Ã‚ ½+6n+3= 3663 the 10th pythagorean triple in this pythagorean family is (21,220,221)

Friday, November 22, 2019

Spaceship Earth - More than a Disney Attraction

Spaceship Earth - More than a Disney Attraction Visionary and designer, poet and engineer, R. Buckminster Fuller believed that we must work together as a crew if we are to survive on our planet, spaceship earth. How did the dreams of a genius turn into a Disney World attraction? When Buckminster Fuller (1895-1983) conceived the geodesic dome, he dreamed that it would house humanity. Constructed of a complex framework of self-bracing triangles, the geodesic dome was the strongest and most economical structure ever designed for its time, first patented in 1954. No other form of enclosure covered so much area without internal supports. The larger it is, the stronger it becomes. Geodesic domes have proven durable in hurricanes that have flattened traditional homes. Whats more, geodesic domes are so easy to assemble that an entire house can be built in a single day. Spaceship Earth at Disney World The enormous ATT Pavilion at Epcot in Disney World is perhaps the worlds most famous structure modeled after Fullers geodesic dome. Technically, the Disney pavilion isnt a dome at all! Known as Spaceship Earth, the Disney World attraction is a full (although slightly uneven) sphere. A true geodesic dome is hemispherical. However, theres no question that this Disney icon is Buckys brainchild. EPCOT was envisioned by Walt Disney in the 1960s as a planned community, an urban development of the future. Disney allotted 50 acres of his newly purchased Florida swampland to be what I remember to be called an Environmental Prototype Community of Tomorrow. Disney himself presented the plan in 1966, explaining the Celebration-like development as an Experimental Prototype Community of Tomorrow, a climate-controlled bubble community, with, perhaps, a geodesic dome atop. The dream was never realized at Epcot- Disney died in 1966, shortly after he presented the master plan and shortly before Buckminster Fuller had great success with Biosphere at Montreals Expo 67. After Disneys death, amusement prevailed, and living under a dome transformed into being entertained inside a sphere representing Spaceship Earth Built in 1982, Spaceship Earth at Disney World encloses some 2,200,000 cubic feet of space inside a globe that is 165 feet in diameter. The outer surface is composed of 954 triangular panels made of a polyethylene core sandwiched between two anodized aluminum plates. These panels are not all the same size and shape. Geodesic Dome Homes Buckminster Fuller had high hopes for his geodesic domes, but the economical designs didnt catch on the way he envisioned. First, builders needed to learn how to waterproof the structures. Geodesic domes are made up of triangles with many corners and many seams. Eventually builders became skilled in geodesic dome construction and they were able to make the the structures resistant to leaks. There was another problem, however. The odd shape and appearance of geodesic domes proved to be a hard-sell for homebuyers used to conventional houses. Today, geodesic domes and spheres are widely used for weather stations and airport radar shelters, but relatively few geodesic domes are built for private homes. Although you wont often find a one in a suburban neighborhood, geodesic domes do have a small but passionate following. Scattered around the world are determined idealists, building and living in the efficient structures Buckminster Fuller invented. Later designers followed in his footsteps, creating other types of dome housing such as sturdy and economical Monolithic Domes. Learn More: Movies About Famous Architects, Including Buckminster FullerWhat is a Geodesic Dome?From our architecture glossary, illustration and definition of the geodesic dome, conceived by Buckminster Fuller.Build A Geodesic Dome ModelStep by step instructions, with diagrams, by Trevor Blake.Buckminster Fuller: BiographyFast facts about the life and works of Buckminster Fuller.Buckminster Fuller: InventionsAn extensive collection of resources from your Inventors Expert.Buckminster Fuller Bibliography by Trevor Blake, 2016Walt Disneys Epcot Center: Creating the New World of Tomorrow by Richard R. Beard, 1982

Thursday, November 21, 2019

Organization Design 4370 Assignment Example | Topics and Well Written Essays - 250 words

Organization Design 4370 - Assignment Example This way, the company ensures that the changes it seeks to undertake are well supported. The company has been involved in organizational restructuring. For example in the year 2005, the company was involved in change restructuring of its workforce, to reduce its number of employees by 330, 000. Such changes was aimed at reducing expenses, removing the bureaucracy involved in its management and enable it to expand its operations to low cost countries (Emerson, 81). Innovation has been the driving force for change, through its consistent involvement in research for new technologies and integrating such changes in the organization. People and corporate culture are the major obstacles for change within the organization. Having introduced a culture of recruiting employees every so often, the introduction of a change such as employees overhaul is blocked by people. The company has adopted a strategy for change, to reduce transformation and operational costs and maximize on the dedication of stakeholders to its change strategy (Emerson,

Tuesday, November 19, 2019

Technical Communication Assignment Essay Example | Topics and Well Written Essays - 1500 words

Technical Communication Assignment - Essay Example So, from the wide variety of fields or branches that will be available, the individuals will chose their field, specialize in it, ‘graduate’ in it and even ‘Master’ it, going through different stages. So, I James Peck, an estate agent also went through all these stages or part of these stages. Working in the property development sector, I have quite a good knowledge about my field and the job I do. As mentioned above, each of the individual will have an academic choice and career choice of their own, based on their interest, influences and also expected opportunities. If anyone is interested in my field of property development, or if anyone haven’t made their career choice, or if anyone wants to change their current choice to an estate agent, or even if anybody wants to know about the field of property development, as a general knowledge subject, my speech will be quite useful. Importantly, this speech could also be an influencing activity. To entice the listeners and make them attentive to my speech, I intend to plan the outline in a logical way. That is, firstly, I wanted to speak to them about their interests and influences in their childhood and during their school life. This is because; humans are mostly ‘made’ in their childhood and teenage years, before they enter their adulthood. Every human’s life will be composed of several stages, which are inter-linked. And, for every living individual in this world, who has lived long enough, the stage when they were young will be considered the crucial one. At that stage only, an individual’s life can take a turn, both in the positive as well in the negative direction. Positive direction in the sense, if the individual, when he/she was a juvenile concentrates on education, career, etc, their lives will be a successful one. Even if their parents or

Saturday, November 16, 2019

Mice and Men Essay Example for Free

Mice and Men Essay John Ernst Steinbeck was born on 27 February 1902, in Salinas, California, USA. The Salinas River is mentioned in the first line of Of Mice and Men. The whole novel is centred on the landscape around Salinas. Steinbeck was the third of four children, of mixed German and Irish descent. His parents owned a considerable amount of land, and his mother was a schoolteacher who encouraged him to read widely. His background was neither rich nor poor, and his parents wanted him to follow a respectable career. John Steinbeck wrote the novel called Of Mice and Men. It was published in the depression years of the 1930s. Steinbeck raises questions in the mind of the reader that the novel would be based on loneliness. The first line read A few miles south of Soledad. This is a clever idea by Steinbeck as Soledad means loneliness in Spanish. John Steinbecks family was wealthy, but was interested in the lives of farm labourers. It gave him a inspiration to write books about migrant workers. He could of been a doctor or a teacher but he chose to become an author. John Steinbeck must of met a lot of people like Lennie and George, so he has ideas to write a good book. The historical context of the novel is that its all about the depression years in the 1930s. It was illegal to be unemployed. People living in the 30s didnt have a choice but to go to work. The main characters in this story are George and Lennie. They travel around together, share their minds together, and what ever trouble Lennie gets into, George had to get him out of it. George didnt like Lennie that much because of all the trouble that he gets into. He didnt want to stay with Lennie, but his mother told George to look after him. Lennie was always trying to find a good opportunity to go off alone in the hills. George didnt want that, he liked Lennie as a friend, but Lennie gets into too much trouble. But they always say; You got me, and I got you. This novel called Of Mice and Men was set in a town called Soledad. It meant Lonely in Spanish. The ranch is located in the middle of no where. Its 4 miles to the town. The characters in this novel are ranch workers who are described as lonely. Ranch work is not long term. All of the workers except for Candy and Crooks are only passing through. When George and Lennie get jobs, the boss is suspicious of them because they look like theyve known each other from somewhere and are close friends. The other ranch workers see that George is always answering for Lennie. But they cannot understand why they are always together. George says that ranch workers are the loneliest people in the world and dont belong nowhere. In this paragraph, Im going to write about Crooks. Crooks is a black guy. Hes not allowed to stay in the bunkhouse with the other ranch hands because he is black. He doesnt have the same status as the other white workers. Crooks was also excluded because he suffered an injury and so is not as capable as the other ranch hands. His possessions show that he is lonely. Everyone can see that because he loves to read his books but was excluded. Crooks doesnt like when Lennie tries to talk to him. Crooks get angry every time he tells Lennie to go away from him. But after that, he admits that he is lonely. Lennie will also get lonely and even sick when no one is with him. He needs someone beside him all the time so that he feels supported. For this, he always wants George. In this paragraph, I have looked at the way Crooks treat other people and what his appearance looks like to everyone else. I will now write about Candy. Hes an old man who wants to join up with George and Lennie and get a place where they can live. Candy provides a parallel to George and Lennie in that he relies on his dog Im so used to im (p.46) just as George and Lennie are an elevated version of a master/dog relationship. Candy clings to his dog, despite all that logic and common sense dictate. He loves to be with his dog because he had him since he was a puppy. It was the best sheepdog he had ever had. The other workers didnt realise the relationship between Candy and the dog. It meant nothing to everyone except for Candy. Theyve been together for all of Candys life. But now Lennies life has ended. Candy cleans out the farm buildings, and shows George and Lennie the bunkhouse. Candy lost his hand whilst working on the farm, and was allowed to stay on in this lowly position as cleaner. Candy soon asks George and Lennie if he can come in with them. George said We werent thinking of a third person. Cause we was gonna do it on our own. George knew that it was owned by old people who might be willing to sell it for $600 or so. Candy confesses he has $350 saved up and asks if he can come in with them. George really begins to believe that his dream might become a reality. He needs to work for another month or two and not spend anything so that they will have the stake to buy the farm. This will be good for Candy because then he can live a happy life and avoid the loneliness in the life of a ranch worker. Hes worked here for so long and wants to change his miserable life and make it peaceful. Candy was moaning that he just let a stranger shoot his dog. By the look of him, he could see that Carlson didnt like the smell of Candys old dog. Carlson asks Slim to give Candy one of the other pups so that the old dog can be shot. Once the dog has been shot, he feels strong pressure because he had him since he was a pup. When George and Lennie were talking about their dream, Candy steps in and instead of being sad, George and Lennie gives pride and gives Candy more confidence. In this paragraph I have explained Candys life and the way he lives. I am now going to write about Curleys wife. She doesnt like Curley very much and wants to go elsewhere but cannot because of Curley. The other ranch workers avoid Curleys wife as they know that if they befriend her, they will get into trouble. She also said that she could hang Curley at anytime if she felt like it (Showing that she can be dangerous as well as Lennie). She also visits the bunkhouse a lot, she wanted company, but had to ask where Curley was. On Saturday nights she is left at the ranch alone. When she is left alone at the ranch, she tells everyone about her life and story. Its very miserable for Curleys wife. She tells everyone the truth that she doesnt really like Curley. Everyone else has names except for her. She has to be called Curleys wife. That is why she doesnt appear much in the story. Shes being treated like an object. Slims dog name is Loulou. We have looked at the character of Curleys wife and how she got on. George and Lennie are different to the other ranch hands. The way they respond to each other shows very close friendship. Lennie always get into trouble and George is there to get him out of it. They share a dream together of working and then getting a lot of money so that they can live comfortably in the place that there going to get. Every time George says Were gonna get the place. Lennie gets very excited and says I get to tend the rabbits. But when George is about to shoot Lennie, he keeps saying this so that Lennie puts his mind fully onto the house in his head and imagining him tend the rabbits, George wanted this because when he looked the other way, there was a time to shoot him. George wanted him to see it as he is talking. It was related to the shooting of Candys dog too which gave George more confidence in shooting Lennie. But at the end, it is George who will feel guilty. George often insults Lennie and gives him hell, but he doesnt really mean it. Although he often talks about how well off he could be without Lennie he secretly doesnt want Lennie to leave, and when Lennie offers to do so in the first chapter, George virtually pleads with him to stay. This is because George also depends on Lennie to a certain extent for his unconditional friendship. I didnt think that Steinbeck would make George shoot Lennie. At first, those two was good friends, I thought they would actually get that bunkhouse. But it ended in a bad way. It made the readers / watchers feel shocked and feel that his life has ended with just one shot. George always gets annoyed of Lennie and Lennie says that he will go up to the hills. George knows that hes the only one who has to get him out of trouble. But then decides if Lennies gone, then he can have total freedom and do anything he wants. At the end, it might of been a mistake to shoot Lennie. The first paragraph tells us about the introduction of John Steinbeck. It tells the readers what is going to happen. The second paragraph describes the setting and ranch workers. Its the setting of the story and the ranch workers. The third paragraph lets the readers understand Crooks. It also describes his ethnic group and his rights. The fourth paragraph tells us about Candy. It tells the readers about his loving dog and his dreams towards the ranch. The fifth paragraph also describes Curleys Wife. The way she acts in the story, and how lonely she is. Finally, the last paragraph tells the readers about the friendship of George and Lennie. It tells us how George and Lennie travel together, live together and the trouble that they get into. It also summarises George and Lennies dream. John Steinbeck is trying to say that life in the 1930s in California was lonely. He doesnt just write it down, because that will just give the point away. He wants the readers to imagine it for themselves.

Thursday, November 14, 2019

How Does Light Affect The Rate Of Photosynthesis? :: essays research papers

Biology Investigation Problem: How does light affect the rate of Photosynthesis? The Plan In my experiment I am going to see how light affects the rate of photosynthesis. To do this experiment I am going to set up the apparatus as shown in figure 1. The apparatus I am going to use are the following: - 1 Tripod 1 300ml Beaker 1 Boiling Tube 1 Clamp Stand 1Clamp 1 Boss 1 Ring Binder 1 Lamp 1 1 Metre Ruler 1 Thermometer 1 Stop Clock To do the experiment I will set up the apparatus first. I will firstly place the tripod on top of the base of the clamp stand and fill the 300ml beaker with 250ml of water to create the water bath. I will place the boss in the middle of the bar on the clamp stand and place the clamp in the boss. I would then fill the boiling tube 43ml of water, put the pondweed in it and place it in the clamp. I would place the ring binder around the clamp stand surrounding the water base. Finally, I would plug in the lamp and place it 10cm away from the pondweed. I done a preliminary experiment to get an idea how to do the main and proper experiment and what would happen in the experiment. In the preliminary experiment we didn’t use the safeguards so it wasn’t fair experiment. We did this because it gave us the idea what problems we might face when we did the main experiment and gave us the idea how to do it. The pondweed should create photosynthesis by the following equation: - 6CO2 + 6H2O  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  6C6H12O6+ 6O2 Photosynthesis occurs when plants take in Carbon Dioxide from the surrounding air in its leaves and water from the nearby soil in its roots. The leaves then take light energy from the Sun, which is absorbed in the chlorophyll in the cells and passes it along for it to be used in photosynthesis. Glucose is produced and is converted into Starch to be stored. Oxygen is produced from the water and it is a waste product so it is released into the air. The plant uses Carbon Dioxide and water to create Carbohydrates. Glucose is a small, soluble molecule which is useless for a plant to use as energy but it converts it into Starch, which is a large and insoluble molecule, so it can be stored for to be converted back into Glucose. I made this experiment as fair as possible.

Monday, November 11, 2019

Car Accidents

CAUSE AND EFFECT PARAGRAPH -CAUSES OF ROAD ACCIDENTS Car accidents are something that has become common in human life. Almost everyday car accidents happen around us within anytime and anywhere around the worlds. It harms everyone without exception to anybody. The tragic part of car accidents is when it involving fatal. It is very unfair for every living body to die in the car crash and it such a wasted. Furthermore car accidents are something that can be avoided if we altogether concern about the factors that can lead to the crash. First and foremost, careless driver is one of the factors of car accidents. They are not paying 100% attentions on the road while driving. Some of them are talking on the phone, and controlling the car with only one hand. This actually increases the risk of getting involved in car accidents. There are also driver that are not in proper condition to drive. As example, the driver does not getting enough sleep to be able to drive safely resulting in falling asleep while driving and may lead to car accidents. Secondly, poor road conditions also contribute to car accidents. Irregularly surface of road can cause driver to lose control on the car. Unclear road signs that are hard to be seen especially during night and improper placed of speed bump are really disturbing the driver and thus car accidents are more likely to occur. Finally, bad weather is also the causes of car accidents. Heavy rain, storm and snow limit the driver’s visibility and put themselves and others on risk. As example, when it is raining heavily, the road become slippery and car’s tyres have fewer grips on the surface of road. Consequently, the cars will collide with each others. As a conclusion, peoples especially drivers should take note the factors that cause the car accidents as they will beware when driving and thus can help avoiding car accidents. Car accidents Brainstorm as many causes of accidents as possible in the following categories (Include at least 10 examples of each) HUMAN: Speaking on the phone Testing Speaking to the passengers in the back seat No settable Driving under the Influence of drugs/alcohol Not being cautious of people crossing the road Distracted driving Ignoring road signs Unsafe lane changes Road rage VEHICLE: Flat tires – Design defects – Equipment failure – Brakes – Faded road signs – Potholes – Roadway constructions – Animals on the road Traffic lights not working 4.Write down what the different types of drugs are that can affect someone's driving ability? – Depressants – Hallucinogens – Stimulants How can Stimulants effect someone's driving ability? – You can have a false sense of confidence – You can make rash decisions that can lead to increased risk taking behavior – Your visual perceptions can be distorted, which will make it difficult to Judge distances – Your driving ability and co-ordination will be lessened – With the lack of sleep, you will actually feel more exhausted, affecting your reflexes Car Accidents CAUSE AND EFFECT PARAGRAPH -CAUSES OF ROAD ACCIDENTS Car accidents are something that has become common in human life. Almost everyday car accidents happen around us within anytime and anywhere around the worlds. It harms everyone without exception to anybody. The tragic part of car accidents is when it involving fatal. It is very unfair for every living body to die in the car crash and it such a wasted. Furthermore car accidents are something that can be avoided if we altogether concern about the factors that can lead to the crash. First and foremost, careless driver is one of the factors of car accidents. They are not paying 100% attentions on the road while driving. Some of them are talking on the phone, and controlling the car with only one hand. This actually increases the risk of getting involved in car accidents. There are also driver that are not in proper condition to drive. As example, the driver does not getting enough sleep to be able to drive safely resulting in falling asleep while driving and may lead to car accidents. Secondly, poor road conditions also contribute to car accidents. Irregularly surface of road can cause driver to lose control on the car. Unclear road signs that are hard to be seen especially during night and improper placed of speed bump are really disturbing the driver and thus car accidents are more likely to occur. Finally, bad weather is also the causes of car accidents. Heavy rain, storm and snow limit the driver’s visibility and put themselves and others on risk. As example, when it is raining heavily, the road become slippery and car’s tyres have fewer grips on the surface of road. Consequently, the cars will collide with each others. As a conclusion, peoples especially drivers should take note the factors that cause the car accidents as they will beware when driving and thus can help avoiding car accidents.

Saturday, November 9, 2019

A Visit to the Seabeach on Puri

Free Sample The Goddess Within for by Gloria Star subrata Dutta November 13, 1957 01:44 AM Calcutta, India After my initial immersion into the study of astrology — when learning the basics was a fascinating challenge — I began to explore the multidimensional nature of astrology and metaphysics. It was quite clear that women and men experience and express the energetic qualities symbolized in their charts differently. Being a woman, I chose to delve into the gender-differences from a woman's point of view. That writing resulted in what you'll read in this report. I hope you enjoy this view of ‘you'! † – Gloria Star Projection of Your Real Self Sometimes showing the world who you really are is not easy, and sometimes the world may not respond as you had hoped! It's helpful to take a look at the differences and similarities between the attitudes, impressions and images you project and the person who resides at the core of your being. With your Sun in Scorpio your ego is driven by a need to be almost enigmatic. You're more comfortable when at least a little mystery surrounds you, and you can exude a strong level of sensual charm. You're rarely halfway about anything, and your intensity can be daunting to those who are uncomfortable with confrontation. Since your Sun speaks of â€Å"who you think you are,† you may think that you're more mysterious than you are in actuality! No bother – you're still a mystery to most, so you're safe! Your Ascendant is the face you present to the world, and shows how others see you. Your Ascendant, or rising sign, is Virgo. Through this influence, you may be somewhat the perfectionist in your appearance and may be most comfortable when you feel well-groomed. Others may view you as detail-oriented, which has its advantages if you know what you want. You may be extremely aware of your physical body, to the extent that you know when anything is not working properly. You'd better keep a nail file in your pocketbook, since you'll fiddle with that ragged nail all day if you don't have a chance to fix it! The energy associated with your Ascendant is Mercury. With Mercury in Sagittarius, you may be rather outspoken and direct in your manner. Your philosophical outlook definitely colors your personality, and you can be a great conversationalist. With your Moon in sextile aspect to your Ascendant you have the capability of becoming well-rounded by integrating your feelings about things with the way they are. You've probably learned that if you're not comfortable with something, you should probably look into it further or avoid it altogether. You may also be quite adept in relationship matters, since you can be aware of the way others are feeling or reacting in addition to staying in touch with your own feelings about what's going on. The  Goddess  Within Get Your Complete The Goddess Within Reading Now! Self knowledge is power! Learn how to reach inwards and discover your strengths, talents and potential to embrace and express your personal power in the best possible ways A must have reading for women everywhere. Get yours today! Only $24. 95 Or get it FREE Get your Complete Reading and Discover†¦. l l l Your basic strengths, talents and needs as portrayed in your birth chart How you project yourself to the outside world and is it the true you Understanding and getting in touch with your true feminine self Get your Complete Reading and Discover†¦. l l l l l l l Your basic strengths, talents and needs as portrayed in your birth chart How you project yourself to the outside world and is it the true you Understanding and getting in touch with your true feminine self Owning and making the most of you inner masculine self Improving your communications and intuition Your approach to relationships, sex, money and control And much, much more!

Thursday, November 7, 2019

Free Essays on The Fish Bishop

There comes a time in a person’s life when every question they’ve had becomes answered. Everything confusing suddenly makes sense. The time can not be predicted, it just comes, like the wind. Unexpectedly, missing pieces, which caused confusion, take their place and become a clear, whole picture. Most people might say understanding occurs only in death, but some minor understandings before death occur also. An epiphany best describes the act of sudden understanding. Epiphany’s are displayed in Elizabeth Bishop’s The Fish, as well in Ernest Hemingway’s The Old Man and the Sea. The two pieces describe epiphany’s dealing with natural order and how tradition keeps the order and life flowing. Ernest Hemingway’s The Old Man and the Sea tells the tale of a weary fisherman, Santiago, who, after many years of trying, catches the largest fish of them all, a marlin. The fish no one else in town could dream of catching. A catch such as this one is worthy of gloating over, but Santiago did not. He waited his whole life to catch the marlin and once he did, it didn’t really seem as important anymore. The marlin served as a turning point for Santiago; one could wait their whole life for something and once they get it realize it is not as important as they thought. Santiago was thrilled of course that he caught the unbeatable marlin bare-handedly, but it was a personal triumph to him. He let the marlin go, so that maybe another could feel the glory he felt. Santiago’s epiphany came when he realized catching the fish was for himself, not anyone else, and it didn’t really matter what everyone else thought. Elizabeth Bishop’s The Fish is practically identical to The Old Man and the Sea with the exception of the size scale of the fish. The Fisherman in The Fish also has a slightly different epiphany. The epiphany in The Fish occurred when the fisherman looked at the fish very closely. â€Å"And then I saw/that from his lower lip/grim,... Free Essays on The Fish Bishop Free Essays on The Fish Bishop There comes a time in a person’s life when every question they’ve had becomes answered. Everything confusing suddenly makes sense. The time can not be predicted, it just comes, like the wind. Unexpectedly, missing pieces, which caused confusion, take their place and become a clear, whole picture. Most people might say understanding occurs only in death, but some minor understandings before death occur also. An epiphany best describes the act of sudden understanding. Epiphany’s are displayed in Elizabeth Bishop’s The Fish, as well in Ernest Hemingway’s The Old Man and the Sea. The two pieces describe epiphany’s dealing with natural order and how tradition keeps the order and life flowing. Ernest Hemingway’s The Old Man and the Sea tells the tale of a weary fisherman, Santiago, who, after many years of trying, catches the largest fish of them all, a marlin. The fish no one else in town could dream of catching. A catch such as this one is worthy of gloating over, but Santiago did not. He waited his whole life to catch the marlin and once he did, it didn’t really seem as important anymore. The marlin served as a turning point for Santiago; one could wait their whole life for something and once they get it realize it is not as important as they thought. Santiago was thrilled of course that he caught the unbeatable marlin bare-handedly, but it was a personal triumph to him. He let the marlin go, so that maybe another could feel the glory he felt. Santiago’s epiphany came when he realized catching the fish was for himself, not anyone else, and it didn’t really matter what everyone else thought. Elizabeth Bishop’s The Fish is practically identical to The Old Man and the Sea with the exception of the size scale of the fish. The Fisherman in The Fish also has a slightly different epiphany. The epiphany in The Fish occurred when the fisherman looked at the fish very closely. â€Å"And then I saw/that from his lower lip/grim,...

Tuesday, November 5, 2019

Trouble Sleeping Learn How Long Caffeine Stays in Your System

Trouble Sleeping Learn How Long Caffeine Stays in Your System SAT / ACT Prep Online Guides and Tips How long does caffeine stay in your system? What is the half-life of caffeine? How does caffeine half-life differ between individuals? In this quick guide, we'll go over how long caffeine stays in the average person's body, what factors impact how long you'll feel the effects of caffeine, and what you can do to combat the caffeine jitters. Ultimately, we'll help you answer the key question: how long does caffeine stay in your body? How Long Does Caffeine Stay in Your Body? The Average Person Caffeine is absorbed by the membranes of your body incredibly quickly. Once you take in caffeine, you'll feel its full effects within 15-45 minutes. After that, your liver will start breaking down the caffeine into caffeine metabolites, which you will eventually excrete in urine. In the average adult, the half-life of caffeine is about 5-6 hours. This means that once take a dose of caffeine, you'll break down about half of that caffeine after 5-6 hours. So if you take in 200 mg of caffeine at 9 am, you'll still have about 100 mg left in your body between 2 and 3 pm. How Long Does Caffeine Affect You Specifically? So now you know that the average person experiences a caffeine half-life of about 5-6 hours. But how long after drinking that cup of coffee or downing that Mountain Dew will you still be feeling a buzz? How long does caffeine stay in your body in particular? That depends on a few factors. Your Unique Metabolism Caffeine is processed and broken down by a set of enzymes in the liver. How much of that enzyme you produce is determined by genetics. This means that some people metabolize (or break down) caffeine extra-slowly, and some people break it down so quickly they barely feel the stimulating effects of caffeine. The only way to really know how you metabolize caffeine is to have some and see what happens. If you are hypersensitive to caffeine, even small doses (think half a cup of coffee) may give you the "coffee jitters"- which can include feelings of anxiety, restlessness, nausea, diarrhea, heart palpitations, and general discomfort. If you are hyposensitive, you won't feel much of a stimulating effect from caffeine at a normal dose, even if you've never had it before. Note also that pregnant women metabolize caffeine much more slowly, with an average caffeine half-life of up to eight hours. Size of Caffeine Dose Whatever caffeine half-life you have, the size of the dose you take will make a big difference in how long you still feel the impact of caffeine. If you drink one espresso shot (which has about 50-65 mg of caffeine) and your personal caffeine half-life is about five hours, you'll have a pretty negligible amount of caffeine in your system ten hours after ingestion. However, if you drink four eight-oz. cups of coffee in a row, taking in about 400 mg of caffeine, you'll still have 100 mg of caffeine in your system after 10 hours- enough to keep you pretty buzzed. Any amount of caffeine in your system about 50 mg may be enough for you to still feel some effects. (Or even less if you're hypersensitive!) Note too that different products have different caffeine dosages. Coffee has more caffeine than black tea, which has more caffeine than green tea. Additionally, not all coffee brewing methods make equally strong coffee. For example, drip coffee has more caffeine than instant coffee. Even coffee from the same shop may have different caffeine content on different days! Your Caffeine Tolerance The more often you consume caffeine, the more tolerant you become to its effects. Regular coffee drinkers need to drink more and more coffee over time to get the same stimulating effects from caffeine that they did initially. If you're a new coffee drinker, expect to feel the impact of caffeine much more strongly than if you're a coffee veteran. (If you are a big coffee drinker, keep in mind that super-high caffeine doses are toxic. Try to moderate your intake so that you aren't constantly taking bigger and bigger doses.) Other Drugs You Take Other substances that you take into your body can impact how you metabolize caffeine and change the half-life of caffeine in your own body. For example, hormonal birth control can slow down how quickly you process caffeine, making you more sensitive to its effects. By contrast, regular smokers have a caffeine half-life of about three hours, making them less sensitive to the effects of caffeine. Other drugs can also impact how you process caffeine, so look up how caffeine interacts with any prescription drugs or other substances you are taking. Can You Speed Up the Half-Life of Caffeine? Feeling the caffeine jitters? Are you anxious, panicked, or nauseated? Can you speed up your body's processing of caffeine to make yourself feel better? In short, not really. There's not actually a reliable way to speed up the processing of caffeine in your liver in the short-term. However, here are some things you can do to help you feel better while you process the caffeine: Drink Water Drinking water won't "flush" your system of caffeine, in spite of the commonsense wisdom. However, caffeine is a diuretic, which means that it can cause dehydration. Drinking plenty of water will help minimize dehydration and help alleviate some of the symptomatic effects of the caffeine jitters. Eat Food Caffeine can suppress your appetite, so you may feel the impacts of low blood sugar, including nausea and headache, if you don't make a conscious effort to eat. Taking your caffeine with a meal will also slow down your processing of caffeine, which will make you less likely to have the jitters. Exercise While exercise won't make you metabolize caffeine any faster, it will help you to burn off some of the extra energy caused by caffeine's adrenaline release. This may help you feel better. Bottom Line: How Long Does Caffeine Stay in Your System? How long does caffeine stay in the body? Well, the average person will experience the half-life of caffeine at about 5-6 hours. But how long does caffeine stay in the body such that you still feel its effects? This depends on a few factors: Your unique metabolism: genetics plays a role in how fast your liver can metabolize caffeine. Size of caffeine dose: A larger dose will impact your body for longer. The average person will feel some impact of caffeine at about 50 mg or above. Your caffeine tolerance: The more often you take in caffeine, the less you'll feel its effects. Other drugs you take: Other substances you take can speed up or slow down your caffeine metabolizing processes. There's no way to actually process caffeine any faster in the short-term. But if you've had too much and you're uncomfortable, these things might help you feel better: Drink water: Caffeine can dehydrate you, so water will make you feel better. Eat food: Caffeine can suppress your appetite, so be sure to eat! Exercise: Exercise can help you burn off some of the excess energy caused by taking caffeine.

Saturday, November 2, 2019

The Past And The Shape Of Things Essay Example | Topics and Well Written Essays - 2000 words

The Past And The Shape Of Things - Essay Example Today, the United States of America has developed its own peculiar cultural and social habits that make it what it is (Strenski 11). Over the past, the US has had many immigrants from varied countries that had different social and cultural backgrounds. For this reason, the US has become a culturally and racially diverse due to this massive migration in the past. However, due to the varied combination of people from many parts of the world, the future of the US has and will be determined by the past (Eliade & Ioan 47). The paper seeks to describe and give a comparison of how the past influences the future in today’s society and culture. In his theory of the sacred time, Eliade’s implies that the power of anything has its roots in its origin and that the power of the entire world relies on cosmogony. However, Eliade claims that for any religious man, two types of time exist. One of which is the sacred time and the other is the profane time. He further stipulates that the former is experienced in the religious festivals and the latter in the normal life. He further asserts that absolute truth concerning primordial time is represented by myths in the traditional societies. According to these myths, it was during this time that the first appearance of the Sacred was experienced in which the world’s structure was established. For Eliades, all myths give a description of primordial events that have made the natural world what it is currently (Schulman 204). Also, most traditional societies have a belief that origin is an essential component in determining the power of anything. Therefore, if origin equals p ower, then it becomes the first sign of a valid and significant thing. According to Eliades, the value and reality of anything lie solely on its initial appearance.