How is Entropy and Information Gain Theory used in Coding Theory Research Paper

How is Entropy and Information Gain Theory used in Coding Theory - Research Paper Example In a communication arrangement, two sources of coding are evident, the first one is the source coding, which focuses on efficiency provision of digital presentation from source signal. Secondly, we have the channel coding mainly the error-control coding which is for the provision of reliable communications through noisy channels (Ashikhmin, Barg & Dimacs 47) In coding theory, entropy and information gain theory offers various roles. Firstly, it is concerned with data reduction, which happens mostly studying a given task and coming across extra material called side information. This will result to the need of data reduction. Therefore, appliance of entropy and information will be of pronounced meaning because it will lessen the extra information. This theory can also interpret the extra information to represent context or situation information (Roth 6). Secondly, entropy and information theory concerns the determination of indecision that is allied with the given information. For exam ple, if certain specific information is on conduction and this theory happens to known it before the transmission of that material, it will lead to the failure of that information going through transmission. Entropy focuses on maximization during the equiprobable of meanings thus determining vagueness (Roth 7). Thirdly, this theory promotes intelligence and application of secrecy to information. These concepts mostly apply to cryptography compounded with cryptanalysis (Roth 7). It focuses on the redundancy of plaintext by giving the least quantity of ciphertext ensuring exceptional decipherability. Here information theory makes us be certain that it is hard to keep any secret (Golomb, Peile & Scholtz 202). Fourthly, entropy and information gain theory deals with the gathering of unpolluted disciplines, which have already gone through investigation and transformed to engineering practice. It deals with very broad applications thus the vitality of coding theory. Fifthly, this theory i s important when it comes to â€Å"error-correcting codes† in computers with high-speed memories (Cover & Thomas 13). These codes are of vital use when it comes to enhancing the reliability of computer memories. Here the computers contain unusual features that are rarely in communication applications. These errors are due to encoding, decoding, and uncommon type of errors. When this occurs, the entropy and information gain theory are able to detect double error appearing at the same time, correcting the single errors (Cover & Thomas 13). Source coding theory is about well-organized demonstration of given data that are from a certain information source (Gray 34). For example when it is an image-coding, achieving source coding can be through manipulating terminations of that image. To attain â€Å"noiseless source coding†, the measures of given information and its complexity should be observed. Central to this, the entropy and information theory is of application when it comes to detection of total information. This theory also helps when it comes to arithmetic coding compounded with statistical modeling (Kannappan 174). Arithmetic coding avoids assigning certain bit of given patterns to the original source symbol. In entropy and information theory, a connotation with a code is given and it concludes the order of symbol. These code words have sub intervals showing the disparity

The Speeches of Richmond and Richard in Shakespeare's Richard III Essay

The Speeches of Richmond and Richard in Shakespeare's Richard III - Essay Example In Act III, Richard has the two princes imprisoned in the Tower of London. He also gets rid of all the people who might stand between him and the throne and spreads the rumor that Edward's marriage to Elizabeth was invalid and hence the children illegitimate and did not have right to the throne. In Act IV, Richard is finally crowned the King of England. However, he still fells insecure that the princes may one day stake their claim at the throne and so has them killed. The last and the final Act, shows the preparations for the Battle, the actual battle and Richard's death in a bloody duel with Richmond. Richmond does not enter the play until the final Act, but as the one who finally defeats Richard his character is shown to be virtuous in contrast to the evil Richard. The contrast between Richard and Richmond's characters is best brought out in the speeches that the two give to their respective armies just before the start of the Battle. The Act V, Scene III shows the preparations ma de by the two warring sides on the night before and early morning of the battle. Scene III is one of the longest scenes of the play and culminates with the two commanders addressing their troops. The two speeches bring out the basic characteristics of Richard and Richmond. ... Also, by promising that he would martyr himself if the need arises, he showed that he was a leader of men. Richard, on the other hand, tells the soldiers that their adversaries were not worthy people and were just "scum of Bretons, and base lackey peasants" and were led by a "paltry fellow", "a milk-sop". His speech does not say anything that would lift his soldiers' spirits or fill them with enthusiasm to defeat the enemy. If anything, the speech made it look like that defeating the invaders should be a child's play. The ineffectiveness of the speech and his words raise questions regarding Richard's leadership abilities. Richard was fighting the battle to protect his kingdom and his right to the throne. As such he should have been much more motivated to win the battle and prove to everyone that he truly deserved to be the king. Unfortunately, he did not take Richmond's threat seriously. Richard had ascended the throne with relative ease by either convincing people to side with him o r killing those who opposed him. He thought of himself as an intelligent and charismatic person who could get anything that he wanted. Until the battle of the Bosworth Field, he had never really been challenged because he had taken care to kill all those who could challenge him. As a result, his speech reflected his arrogance. Unlike Richmond, Richard's speech did not promise to lead his troops from the front or to die for the cause if need be. Instead, he arrogantly told his troops to "whip these stragglers o'er the seas again" because the invaders were not worthy enough to "enjoy our lands". He did not appeal to his soldiers to protect the honor of the land from foreigners,