# The On The Value Of Pi Essay

Length: 1025 words (2.9 double-spaced pages)

Rating: Better Essays

#### Essay Preview

For centuries, mathematicians around the world have struggled in the chase for an increasingly accurate approximation of pi. The first recorded avenue of approximating the value of pi by theoretical means was the polygon approximation method, employed by Archimedes around 250 B.C., which was accurate only to about two decimal places when he performed it (Groleau). This was partly due to the fact that Greek mathematicians at the time had no concept of 0, thus only used fractions, not decimals, and the fact that they had no access to algebra (McKeeman). Now, over 2000 years later, pi has been calculated and verified to more than 12.1 trillion digits thanks, in part, to the Bailey-Borwein-Plouffe (BBP) formula, published in 1996, which allows us to quickly and easily calculate a specific digit of pi (Yee and Kondo; Seife). Though the polygon method and the BBP formula each work in entirely different ways and have entirely different uses, if any, the BBP formula’s method of operations and applications make it superior in calculating pi.
The polygon approximation method uses the perimeters of polygons to approximate pi and “was the first theoretical, rather than measured, calculation of pi,” but while it worked great for Archimedes in his time, it has limited practicality today (Groleau). In order to estimate pi, Archimedes used a circle that had a polygon inscribed in and circumscribed about it, then found the perimeter of each polygon, and used those values as the upper and lower limits of pi (Groleau). He started with a hexagon as the inner polygon of a circle with a diameter of 1 whose perimeter is equal to 6r when r is the radius of the circle (McKeeman). This meant that since the circumference of the circle was 2πr, 6r < 2πr an...

... middle of paper ...

...on (Bailey 55). The maximum number of digits employed in any practical way is a few thousands in order to answer mathematical questions using a computer (Bailey 55). One reason for the continued calculation pi is that, when calculated on computers, it can be used to test to hardware and software for errors, for example, when “some obscure hardware problems in one of the original Cray-2 supercomputers” were detected, but this could also be done with any other transcendental number (Bailey 55). The calculation of pi has also excited the advancement of computational techniques (Bailey 55). Even with these side effects, the main reason for the continuing calculation of pi lies the challenge, simply because “it is there” and curiosity is basic human nature (Bailey 55). We continue to strive to understand that magical number pi because we are curious where it will lead us.

## Need Writing Help?

Get feedback on grammar, clarity, concision and logic instantly.

## Anthropogenic And Anthropocentric Theories Of Value Essay

- Over the past month or so we’ve been tasked with understanding and interpreting various types of value as they correspond to different views on environmental ethics. In this paper I intend to explain the anthropogenic and anthropocentric theories of value by explaining their main type(s) of value, accepted type(s) of value, and who or what holds value according to each theory. Additionally, I will explain how a theory of value may be anthropogenic but not anthropocentric, how a theory of value may be anthropocentric but not anthropogenic....   [tags: Value theory, Value, Morality, Intrinsic value]

Better Essays
900 words (2.6 pages)

## Essay on The Value Of An Action Is Moral Or Not?

- For something to be both morally relevant and invariably relevant, it means that the subject, in this case generosity, cannot change in its importance. This means that if we give a value system to acts, a certain act will always have the same value points. To put this into more concrete terms, if generosity has a value of positive points, it must always have positive points if it is invariable relevant. For something to be morally relevant, it has to be important in determining whether an action is moral or not....   [tags: Morality, Value theory, Value, Ethics]

Better Essays
1328 words (3.8 pages)

## Sex- Prostitution and The Value of Sex Essay

- Elizabeth Anderson makes a claim that “The attempt to sell gift value on the market makes a mockery of those values.”(Anderson 188) Anderson uses this claim to object commoditized sex (prostitution). There are two premises that Anderson uses to support her claim. The first premise being the gift value of sex cannot be realized in commercial terms and the second premise being that the gift value of sex is more significant that the use value of sex itself. To support her first premise Anderson argues that the good which is sex in this case, is realized only when each partner mutually returns the other's gift in the spirit with which it was received by giving one’s own sexuality to the gift giv...   [tags: Gift, Significance, Value]

Better Essays
1535 words (4.4 pages)

## The Value of a College Education Essay examples

- Introduction The main focus of the essay is on the meaning of an education. It’s stated that a real education consists of more than just training in the specifics of one’s chosen field. It cites lateral thinking and communication skills as the valuable life skills that should be learned. It then proceeds to examine the need for these skills in the real world and the need for these skills to be taught at university level. It starts by examining the general case of all students arriving in college for the first time and by the end gets to the particular needs of computer science students and others in the more practical disciplines....   [tags: Value of Education Essays]

Better Essays
2222 words (6.3 pages)

## The Human Value Of Love Essay

- The idea within this article is an interesting age old practice of how to treat one another. I was always taught as a child to treat others the way that I would want to be treated. On a higher level of thought I have been taught to follow the Bible and choose the right moral path as following the example of doing what Jesus expects us to do. However, the world seems to be pulling away from the religious teachings of Christianity and with it the practice of treating each other morally correct. I was once one of these people who pulled away from this practice....   [tags: Morality, Value, Virtue, Culture]

Better Essays
1812 words (5.2 pages)

## What Makes A Universal Value? Essay

- As humans, we all have the desire to want to be better, smarter and more awesome person than we already are. We either want to be more attractive, have a faster car, make more money or b more popular. Even so, when someone asks me what kind of person I aspire to be, nothing physical comes to mind. The way that I now feel as if I have a huge computer loading bar above me. The person that I thrive to be is a combination of my set values and principles and my desire to improve upon in my life. A universal value can be described as “one that produces behavior that is beneficial to both the practitioner [and on] whom it is practiced” (Eyre and Eyre 27)....   [tags: Morality, Sociology, Thought, Value]

Better Essays
1549 words (4.4 pages)

## The Coca-Cola Value Chain Essay

- Introduction Coca Cola markets nearly 2,400 beverages products in over 200 geographic locations. As a result development of a superior value system is imperative to their operations. Throughout this paper we will analyze their value system by using Michael Porter's value chain analysis model. In an attempt to paint a current picture of the non-alcoholic beverage industry we will assess the market activity by using mergers, acquisitions and IPOâ€™S as our benchmarks to determine if the market is growing or contracting....   [tags: Value Chain for Coca-Cola]

Better Essays
2732 words (7.8 pages)

## Essay on Customer Perceived Value Of A Product

- Customer-perceived value A popular theory used in branding and marketing is known as customer-perceived value. This theory points out the successes of a product and is largely founded on whether or not customers believe it can satisfy their requirements. This process also emphasizes that when a company develops its brand and markets its products, it’s the customers who ultimately decide how they will understand and react to marketing messages. Companies spend a significant amount of time researching the market to get an overall picture of how consumers think and feel....   [tags: Brand, Branding, Brand management, Value]

Better Essays
1027 words (2.9 pages)

## Value Chain By Michael Porter Essay

- Value chain analyses a firm 's internal activities such as planning, production, and development, packaging and distribution so as to create value for clients. The function of the value chain is to identify the sources for cost reduction along with quality improvement. It means value chain is used to identify the strong and weak points, positive and negative points, the scope of improvement; in a nutshell, the advantages and disadvantages of the activities taking place in the system. The value chain is also called as a strategic analysis tool and it is a well-known concept in business management industry....   [tags: Management, Supply chain, Value added]

Better Essays
2016 words (5.8 pages)

## Value Management : Project Management Essay

- 2.3. EARNED VALUE MANAGEMENT: EVM control the projects, yet dependent on a project’s effective plans. About EVM we know collectively from these research works. Firstly EVM contributes to project planning then secondly EVM contributes to project control and EVM contribution to project management processes, all these processes are believed to positively influence project performance. This is a EVM contribution to project success. The concept of earned value has been around for over a hundred years....   [tags: Project management, Earned value management]

Better Essays
760 words (2.2 pages)