History and Implications including Functionality Essay

History and Implications including Functionality - Essay interpreterPascal, whose name was subsequently bequeathed to it though Chinese mathematician Yangsui generated it almost 500 years earlier than that. In mainland China it became know as Yangsuis triangle while Persian astronomer-poet Omar Khayyam also studied it in round details.(Mathworld, Pascals Triangle, 2006) Indian mathematicians like Pingalacharya also knew of it even earlier than the Chinese and all these shall be discussed subsequently together with some of this way out triangles unique properties.Though not much is know about how Pascal exactly came upon this number triangle it is obvious that since he was well-known as a mathematician, philosopher and religious figure in the France of that prison term he made it famous. This is one of his lesser-known achievements. He is much better known for his discovery of the constant closet within a static fluid (Pascals Principle). (Scienceworld, 2006)The first known descr iption of a double star bit system, that ultimately generates the triangle, is to be found in the works of Pingalacharya, the famous circa 5th century B.C. Indian savant on prosody. He is supposed to be the younger brother of the more famous Sanskrit Grammarian Panini, whose grammar is quiesce considered to provide the basic guidelines for that language. Actually, Pingala was exploring the listing of Vedic meters in short and long syllables when he came upon the system of binary numerals. His discussions of the combinations possible for the meters describes the binomial theorem. His works were later taken up by the 10th century Indian mathematician Halayudha whose commentary presents a form of the Pascals triangle. It is described as the Meru-prastaara, as the rudimentary form of the Pascals triangle was known then in Sanskrit. Pingala was also the first person to make mention of the Fibonacci Numbers, as they are known now. The paper shall touch upon the Fibonacci numbers later on. In Sanskrit, as Pingala would have it, these numbers were known as maatraameru. (Wikipedia, Pingala, 2006) It is noted here that Indian astronomers and mathematicians were quite advanced in those days and quite a a couple of(prenominal) important concepts such as that of zero, attributed to