Theorem Essays

​Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are two legs of a right triangle and c is the hypotenuse, the longest side of the triangle. This 1-inch long, simple, yet eloquent equation contains a beauty, a magic that is unnoticeable at first glance; I have been introduced to this beauty by Dartmouth alumni Professor Strogatz at an Engineering Diversity Weekend program last September. As I finished my breakfast, I had the opportunity to join the campus tour or attend a mock math class, named

able to prove Fermat's Last Theorem. Andrew Wiles’ extreme dedication to his work is tremendously admirable. Wiles was determined to prove Fermat’s Last Theorem ever since he read it in a book when he was only ten years old. This theorem was discovered by Pierre de Fermat and claimed that the proof of the theorem was too large to fit in the margin of his book, therefore being considered “unproven”. Mathematicians were always determined to prove or disprove the theorem, but

Bernoulli’s theorem is a special application of the laws of motion and energy. The principle equation describes the pressure measured at any point in a fluid, which can be a gas or a liquid, to the density and the velocity of the specified flow. The theorem can be explained by the means of imagining a particle in a cylindrical pipe. If the pressure on both sides of the particle in the pipe is equal, the particle will be stationary and in equilibrium. By implementing the second law of motion the

been alleged that the Maya long count calendar is based on the idea of a 3-4-5 right angle triangle, and involves extending the Pythagorean Theorem to a power of 3, instead of 2. The start date on their calendar, by the reckoning of modern archaeologists, is August 11 of 3114 BC, thus predating Pythagoras. The expression obtained by raising the Pythagorean Theorem to the power of 3 is as such: , where the dash in indicates the position in the sequence. The given expression describes the relationship

Cooperative Principles Violation In Romeo and Juliet Abstract: To some extent, language is actually a kind of art. A speaker of the language may quite often convey much more than what he literally says. The essence lies in how we understand and appreciate their language. Luckily, the Cooperative Principle (CP) is proposed, so the CP and the violation of CP enable us to interpret many efficient ways of language using and understanding in literature and daily life. As we all know, the literary

A Monument to the Dead Throughout Native Guard by Natasha Trethewey there are themes of death, grief and change. These themes are carried through the collection and are present within the entire collection. These set up the mood that this collection is ultimately about change but change for the reader as well as what happens in the collection. In “Monument” we can see all these changes through a paraphrase of the poem and the sense of elongated time from the from the form and imagery of the poem

of the most famous problem in mathematics: four color theorem. In the introduction, history and examples of the applications of the four color theorem have been examined. Beside the big history of it, four color theorem has a huge application area e.g. in coloring questions, mobile phones, computer science, scheduling activities, security camera placement, wireless communication networks etc. In this work, an application of four color theorem in a specific area has been examined: location area planning

Over the years, many concepts have been proposed on how to remedy sub-par conditions, the Coase Theorem being an interesting example. The Coase Theorem provides an explanation of how these conditions can be resolved and will be discussed in relation to a specific example. One example of a suboptimal condition is that of property damage. Person A had decided to build a go-kart course, but during this process, Person B believed that the course has been built on part of his land, thereby decreasing

island in 570 BC. Pythagoras was known to be married with one son, named Telauges, and three daughters named Damo, Arignote, and Myia. Pythagoras is well know accomplishment is that he had proved what is known today as The Pythagorean Theorem. The Pythagorean Theorem basically states that the sum

Pythagoras of Samos, also known as the creator of the Pythagorean theorem, was born in Samos, Greece around 580 B.C. Although few details are known about his early life, he was seen to be one of the earliest and wisest of all ancient Greeks. Pythagoras had a wide range of interest in music, astronomy and mathematics. Greek geometer and philosopher had especially a vast attraction to math, where he thus created the famous Pythagorean theorem. Pythagoras was brought to life throughout the Golden Age of

Introduction Leonhard Euler is one of the great mathematicians, who made many remarkable contributions to mathematics. I got to know him when I was learning natural logarithm in math class, which is one of his achievements. He discovered many theorems including polyhedron formula, which states that the number of any polyhedron together with the number of vertices is two more than the number of edges (Kirk, 2007). This formula is widely used in mathematical practice and in real life as well. As polyhedron

statistics, Bayes’ theorem (alternatively Bayes’ law or Bayes' rule) describes the probability of an event, based on prior knowledge of conditions that might be related to the event. For example , “if cancer is related to age, then, using Bayes’ theorem, a person’s age can be used to more accurately assess the probability that they have cancer, compared to the assessment of the probability of cancer made without knowledge of the person's age.” One of the many applications of Bayes’ theorem is Bayesian

ROUGH DRAFT Once upon a time there was a 13 year old boy named jack. he did not like bullying anywhere and anytime. he saw bullying happening so he took action. The next day at school he created a anti-bullying program for kids who been bullied or kids who see bullying that want to stop bullying. That day Jack’s girlfriend helped him get more people to join. She gave jack 5 people that wanted to help stop bullying. Everyday jack and julie had a meeting with the group to either to put posters

The world knows who puts the marvelous in math, and this great “mathematician” is known as Pythagoras. Pythagoras is a man who lived a long time ago, and he had outstanding abilities in mathematics.Pythagoras lived from about 569 BCE- 500 BCE and, he contributed to many of the rules in math known today in the short period of time he was alive. He realized his love for math and had so many great mathematical ideas, so he created a brotherhood that enjoyed math as much as he did. He is greatly respected

by $p(x, y) = \max\{x, y\}$ for all $x, y \in X$ then ${CB}^p(X)=\emptyset$ and the approach used in Theorem \ref{THM201} and elsewhere has a disadvantage that the fixed point theorems for self-mappings may not be derived from it, when ${CB}^p(X)=\emptyset$. To overcome from this problem he introduced the concept of mixed multi-valued mappings and obtained a different version of Nadler's theorem in a partial metric spaces. \begin{definition} Let $(X, p)$ be a partial metric space. A mapping $T

Pythagoras of Samos was a Greek philosopher and mathematician famous for being the founder of the Pythagorean Theorem. He is frequently said to be the first ‘pure’ mathematician. He was a big contributor to the development of mathematics. He formulated principles that soon influenced Pluto and Aristotle. His views lead him to founding the Pythagorean School pf Mathematics in Cartona, Greece. While Pythagoras is one of the most famous mathematicians of Ancient Greece, most of the information that

standard of ethics in medicinal practice was upheld and continued to the present day. Secondly, Pythagoras created one of the most widely used theorems, the Pythagorean Theorem, in which the relationship of the sides of a right angle triangle are calculated in the form a2 + b2 = c2. This was a major contribution to our modern society as the Pythagorean Theorem is still in use today in mathematics, and is one of the major aspects of Euclidean geometry. Finally, Euclid was a contributor modern understanding

influenced his thinking that lead to the development of his theorem. Pythagoras is a famous mathematician and philosopher best known for his work on the theorem that is named after him called the Pythagorean theorem. According to the theorem, “for any right angle, the sum of the squares of the lengths of the two shorter sides equals the square of the length of the longest side (Harkins 35). Pythagoras may not have invented this famous mathematical theorem, but he was the first person to prove it in a scientific

Have you ever thought you were a failure, when you exceed expectations? Have you ever succeeded in that which you felt you would fail? This verse from The Dhammapada demonstrates that it is foolish to expect yourself to be wise when you do not know you will be for certain. "The fool who knows his foolishness, is wise at least so far. But a fool who thinks himself wise, he is called a fool indeed." When I was in middle school, there were two tests in three days. The experience I had with another student

was found in the inquiry of the nature of all things. They consider their founder and leader, Pythagoras, a demigod, and accredited all of their findings to him. They are most famously known for their work in mathematics, such as the Pythagorean Theorem. Yet, the Pythagoreans had numerous philosophical works tied to their worship of numbers as well. The Pythagoreans were a direct contrast to their predecessors, the Milesians, in their concept of the composition of the universe. “The Pythagoreans