King Arthur And Zeus Essays - Mythology, Fiction, Religion

King Arthur And Zeus Inside the compilation of mythical stories of King Arthur and His Knights of the Round Table, retold by Roger Green, and Heroes, Gods, and Monsters of the Greek Myths, two major characters in each story that could be expressed in similar and contrasting ways are Arthur, the king and head of the knights of the Round Table, and Zeus, the supreme leader of all gods and mortals. Similar resemblances that can be found in both is their shadowy lineage, their major mortal flaws, and their nature to journey on epic quests. Even though they were very similar in some aspects, the two were also very different in other means. Arthur is much more kind to his people and cares about them, while Zeus does not view his subjects as worthy of him and treats them unjustly. An additional difference is Arthur is more mild and not taking harsh action all the time, though Zeus is known for being severe. There are many similarities as well as differences that are attributed to these two mythical characters. Arthur and Zeus can be noted for their mysterious childhood and ways they were treated at infancy. Both had prophesies of prosperity that led them into adulthood. When Arthur was born, Uther Pendragon, the leader of the Britons, killed a man and married his wife, Igrayne. Uther and Igrayne had one child, but not much longer after it was born, Merlin the enchanter took him away. Soon after, the boy was placed in the arms of Sir Ector, a noble knight. Later, the youth pulled the sword out of a stone that proclaimed that he was the king of all Britain. This young man would later on grow up to be King Arthur. Not unlike Arthur, Zeus also had a unnatural background. Before Zeus was born, there was a prophecy that stated that Cronos, the king of all gods, would be overthrown by one of his sons. When Zeus was born, he was concealed from his father. As time went by, Zeus waged a war against Cronos and defeated him. Though Zeus and Arthur came from entirely different locations and times, their childhood's were related on account of both of them being hazy. Even though some might not consider either of the two "mortal", Arthur and Zeus had very notable human-like flaws. They both seemed to rush to judgements hastily, and were very passionate towards women. When Arthur hears about King Pellinore and how he is shamelessly killing knights, Arthur runs off to fight. Obviously, Arthur does not give himself time to think, and would have died if it was not for Merlin. Another example would be when Arthur runs off to the Castle of Tarn Wathelyne and pays no heed to Sir Gawain's warnings. King Arthur ends up being tricked by Morgana Le Fay and would perish save a horrid woman who forced Sir Gawain to marry her for King Arthur's life. Many times King Arthur would have been killed if it weren't for his friends such as Merlin and Sir Gawain. Zeus showed the same characteristic even though it played no part in death for himself. The mighty god jumped to his feet and killed when he found out that Ascelpsius was curing mortals headed to the underworld. Later, Zeus regretted his act of terror and brought Ascelpsius back to life. Passionate feelings for other women, and desire for romance were huge faults in Arthur and Zeus. Arthur's feelings for Guinevere led to the downfall of the Logres. At first, when Arthur saw Guinevere, he immediately fell in love with her. Through carelessness and desire for romance, Arthur neglected Merlin's advice of not marrying the queen. When Guinevere and Lancelot had an affair, a war started, and the realm was destroyed. In Zeus' case, the gods are not affected by romantic affairs, but the mortals they make love with are affected. Zeus approached many different gods or mortals, even though he is already married to Hera. Hera occasionally followed Zeus, and punished the ones with whom he had affairs. The mythical figures Arthur and Zeus both have major moral flaws: rashness and crave for passion. King Arthur and Zeus are best known for their epic quests and accomplishments. The two figures seem to be born for the reason to journey on adventures. At age sixteen, Arthur ruled as the king of all Britons. He immediately set forth to drive all of the Saxons out of the island of Britain. This could be considered his first major

The Formula for Expected Value

The Formula for Expected Value One natural question to ask about a probability distribution is, What is its center? The expected value is one such measurement of the center of a probability distribution. Since it measures the mean, it should come as no surprise that this formula is derived from that of the mean. To establish a starting point, we must answer the question, What is the expected value? Suppose that we have a random variable associated with a probability experiment. Lets say that we repeat this experiment over and over again. Over the long run of several repetitions of the same probability experiment, if we averaged out all of our values of the random variable, we would obtain the expected value.   In what follows we will see how to use the formula for expected value. We will look at both the ​discrete and continuous  settings and see the similarities and differences in the formulas.​ The Formula for a Discrete Random Variable We start by analyzing the discrete case. Given a discrete random variable X, suppose that it has values x1, x2, x3, . . . xn, and respective probabilities of p1, p2, p3, . . . pn. This is saying that the probability mass function for this random variable gives f(xi)   pi.   The expected value of X is given by the formula: E(X) x1p1 x2p2 x3p3 . . . xnpn. Using the probability mass function and summation notation allows us to more compactly write this formula as follows, where the summation is taken over the index i: E(X)   ÃŽ £ xif(xi). This version of the formula is helpful to see because it also works when we have an infinite sample space. This formula can also easily be adjusted for the continuous case. An Example Flip a coin three times and let X be the number of heads. The random variable X  is discrete and finite.  The only possible values that we can have are 0, 1, 2 and 3. This has probability distribution of 1/8 for X 0, 3/8 for X 1, 3/8 for X 2, 1/8 for X 3. Use the expected value formula to obtain: (1/8)0 (3/8)1 (3/8)2 (1/8)3 12/8 1.5 In this example, we see that, in the long run, we will average a total of 1.5 heads from this experiment.  This makes sense with our intuition as one-half of 3 is 1.5. The Formula for a Continuous Random Variable We now turn to a continuous random variable, which we will denote by X.  We will let the probability density function of  X  be given by the function f(x).   The expected value of X is given by the formula: E(X)   Ã¢Ë† « x f(x) dx. Here we see that the expected value of our random variable is expressed as an integral.   Applications of Expected Value There are many applications for the expected value of a random variable. This formula makes an interesting appearance in the St. Petersburg Paradox.

Benefits of Walking Essay Example | Topics and Well Written Essays - 250 words

Benefits of Walking - Essay Example Walking reduces weight by burning excessive calories in the body. For instance, a person who weighs sixty kilograms can burn up to seventy-five calories simply by walking for thirty minutes at 2mph. walking is therefore an exercise highly recommended for people who would like to lose weight. The faster an individual walks for a given time duration, the more calories are burned. Another health benefit of walking is that walking lowers the risk of getting certain diseases. Brisk walking for up to thirty minutes daily can help reduce the risks of getting diseases such as diabetes, high blood pressure, heart diseases, certain type of cancer and asthma among others. Doctors believe that walking improves blood circulation within the body therefore reducing the risks of getting diseases. In addition to lowering the risk of acquiring certain diseases and maintain good weight, walking gives an individual energy. Although it may seem a paradox, researchers have found out that brisk walking is an energizer. As an individual walks, blood circulation in the body is boosted which implies that oxygen supply in the body becomes sufficient thereby making one to feel energetic and alive. Walking also eases the muscle tension, strengthens joints and hence making an individual feel relaxed, and