StudentShare solutions

# History and Implications including Functionality - Essay Example

Not dowloaded yet

## Extract of sampleHistory and Implications including Functionality

Pascal, whose name was subsequently bequeathed to it though Chinese mathematician Yangsui generated it almost 500 years earlier than that. In China it became known as Yangsui's triangle while Persian astronomer-poet Omar Khayyam also studied it in some details.(Mathworld, Pascal's 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 number triangle's unique properties.
Though not much is known 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 time he made it famous. This is one of his lesser-known achievements. He is much better known for his discovery of the constant pressure within a static fluid (Pascal's Principle). (Scienceworld, 2006)
The first known description of a binary numeral system, that ultimately generates the triangle, is to be found in the works of Pingalacharya, the famous circa 5th century B.C. Indian scholar on prosody. He is supposed to be the younger brother of the more famous Sanskrit Grammarian Panini, whose grammar is still 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 Pascal's triangle. It is described as the 'Meru-prastaara', as the rudimentary form of the Pascal's 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 few important concepts such as that of zero, attributed to ...Show more

## Summary

where (n, r) is a binomial coefficient which signifies coefficient of the number in the row of the triangle. The number rows can be staggered such that they conform to the shape of a triangle in which each subsequent row is obtained by adding the two numbers diagonally above…
Author : lambertconsidin
Read Text Preview
Save Your Time for More Important Things
Let us write or edit the essay on your topic
"History and Implications including Functionality"
with a personal 20% discount.
Grab the best paper

### Related Essays

My Functionality as a Leader
My Functionality as a Leader Especially in the field of healthcare, whether it is administrative as I do or it is practicing, we must all develop leadership skills in order to facilitate efficiency in the chaotic world. This includes developing essential skills such as communication, delegation, vision, cultural competency, etc.
5 pages (1250 words) Essay
Discuss the history of the oil industry in the Middle East, including North Africa
The analysis gives focus on the issues that led to exploitation of the oil deposits, the problems encountered during the period, the events following the extraction of oil and the future perspective of the oil industry in these sections of the countries. It also relates to emerging trends in the industry and the relationship between the oil companies from the centuries of discovery up-to-date.
4 pages (1000 words) Essay
Alzheimers disease:its history,effects,treatments and social implications
Nevertheless, the research and information continues as well as search for better treatments to improve the patient and the caregivers’ quality of life. Frequently people find that a loved one, parent, friend or elderly relative can’t remember names or faces, recognize common objects or talk in recognizable sentences.
6 pages (1500 words) Essay
New Aircraft Avionics installation and functionality
The paper further discusses and describes the functionality of various systems. Out of the five systems, the report details two of the systems. Subsequently, it covers the fundamental literature and functionality of three of the selected hypothetical avionics systems.
8 pages (2000 words) Essay
Outline and discuss the evolution of CSR (Corporate Social Responsibility), including its history, role in the financial crisis
The greatest concern for most businesses now is to achieve as much competitive advantage as possible to distinguish themselves from the rest, not only for profit motivations in the present, but also for longer life in the future. In that case, business strategies employed by business corporations target to achieve two most important goals, to see that the businesses remain profitable and to ensure they remain relevant in the future, by producing quality services that meet customer standards.
10 pages (2500 words) Essay
Locate and read the following cases. Briefly identify each by full name, including citation describe its judicial history and gi
The appellant contends that the trial court made an error by judging on appellee’s petition for off-site mailing addresses in that the addresses are not suitable focus for the appeal, since the written request only attempted to request data linked to “outstanding real estate delinquencies” (Friedman et al 1).
3 pages (750 words) Essay
How a society could improve its functionality
They see society as institutions of relationships within and stability of these is established from their specific arrangements. The fixers see society as the result of shared values of people within it. Thus, whoever has an inappropriate behaviour is treated so that it illustrates the importance of an order contained within a society.
4 pages (1000 words) Essay
Consider the role that agriculture plays in our society, including its enviromental implications
The erosion of soil caused primarily by poor farming practices allows for increased susceptibility to flooding and mud slides which cause the deaths of many people every year and continue to worsen. Fertilizers which are necessary to grow
4 pages (1000 words) Essay
What is meant by conservative vs. non-conservative amino acid substitutions in a protein, what are the possible implications of each, including a possible impact upon nutrition
It may have no effect on the functioning of the protein. Since the substitution is not harmful to the DNA there are no changes to be observed. Impact on nutrition may not also be observed since the protein remains the same, safe for the substituted amino acid (Ng and
1 pages (250 words) Essay
Electronic Health Record Functionality Standards
The incorporation of results and findings in to the EHR selection and decision making process requires that health practitioners and institutions dedicate adequate time and proper attention (Carol 2007). Specifically, health institutions have to allocate
2 pages (500 words) Essay
Get a custom paper written
by a pro under your requirements!
Win a special DISCOUNT!
Put in your e-mail and click the button with your lucky finger
Your email
YOUR PRIZE:
Apply my DISCOUNT
Comments (0)
Rate this paper:
Thank you! Your comment has been sent and will be posted after moderation