## The Knight's Tour Research Paper

The knight’s tour In this paper, I will discuss the knight’s tour, a chess puzzle relatable to graph theory. I will talk about the history of the problem, how it is related to the Hamiltonian paths and circuits, and some techniques to finding the many different tours and proving their existence. The knight is, as you might know, the only chess piece that does not move in a straight line. No, the knight moves two spaces in one direction, and then on in a perpendicular direction. The knights tour

## Film Analysis: A Game Of Thrones

“... a mind needs books as a sword needs a whetstone, if it is to keep its edge” (Tyrion Lannister). Set in the Medieval Ages, A Game of Thrones written by George R. R. Martin is an engaging and intriguing battle for the iron throne. Ned Stark, lord of Winterfell and Hand of the king, battles endlessly to drive sense into the, Robert Baratheon king of the seven kingdoms and outmaneuver Robert’s wife Cersei. While Ned is in the capital with his daughters Arya and Sansa, his oldest son, Robb rules

## Identity In 'Graph' By Tila Tequila

Jaharutul Fariah Identity is a word that we all find it difficult to define unlike any other words in a dictionary because it’s indescribable. We all define it differently according to what we think is right and it continuously changes as we progress. As stated by Tila Tequila, “every person has their own identity and beauty. Everyone being different is what is really beautiful. If we were all the same, it would be boring.” I also have an identity that started to change when I made the decision

## Graph Coloring: The Four Color Problem

Graph coloring has been one of the most popular areas of graph theory and is a topic that relates to a variety of real-life examples. The origin of graph coloring can be traced back to the famous \textit{Four Color Problem},~\cite{gary08} posed more than 150 years ago, relating to the coloring of maps. It all started in the year 1952 when a British mathematician named Francis Guthrie, while coloring the countries of a map of England, observed that he could color them with four colors, and later

## Graph Theory, World Wide Web, Online Social Network

very most important. Moreover, in future distributed online social networks will popular and bandwidth intensive, it will create more impact on internet traffic. This analysis needs graphical representations. Key words- Social Network Analysis (SNA),Graph theory, World Wide Web, Online Social Networks (OSNs). I. INTRODUCTION Social Network Analysis (SNA) is stated as the mapping and measuring relationships and also flows between two people or groups and other connected

## Reflection On Trigonometry

have unique graphs. Each of the graphs can be identified by the shape of the lines. A sine graph starts at 0 and has a period of 2π. It also has a domain of (-infinity, +infinity), a range of [-1, +1]. The next type of graph is a cosine graph. This graph has a period of 2π, an amplitude of 1, the zeros are odd, and has multiples of π/2. The domain of a cosine graph is from (-infinity , +infinity) and the range [-1, +1]. A tangent graph is a little different from the first two. This graph has a period

## Serial Crime Investigation

ABSTRACT: Serial crimes are the problems which are mostly committed by minority of offenders. The law enforcement people are forced to find out the serial crimes which is considered as complex task. In order to find out the serial crimes, one need to investigate the large number of collected crimes which is unlinked with each other. These problem need to be analysed in different ways to find out the link among each crimes happened in various locations to find out serial crimes. In the previous work

## Four Color Theorem Essay

still looking for a new, computer-free solution for four color theorem, and graph theory is one of the main methods used in these studies. I prepared for Math Olympiads in last 5 years, and one of the topics I exposed while studying was graph theory. I have an interest to this problem therefore I decided to write my extended essay about four color theorem. There is an approach to the solution of the four color theorem with graph theory in this

## Face Entity Analysis Essay

The partitioned face graph has the same vertex number with the name graph. The partitioned face affinity matrix by p, Rface (P) is calculated as, RESULT Trainig is done on the 3 scenes of 12 angry men movie which has total 8 characters. In training phase of face classification module, user has

## Chromium Removal Lab Report

CHAPTER 6 RESULTS AND DISCUSSION 6.1. INTRODUCTION The experiment gave the knowledge about various things and various factors played their significance role in it. The experiment stated the Chromium removal and for that we had drawn a calibration curve (graph 6.1) between Absorbance on y axis and concentration on x axis through the table 6.1 as given below. To make calibration curve, we needed the absorbance of the Chromium solution which we got from atomic absorption spectrophotometer (AAS). For calculating

## Km And Vmax Lab Report

optimum temperature of 37 °C[2]. The aim of this experiment is to calculate Km and Vmax at 37 and 65 °C by using Michaelis-Menten and Eadie-Hofstee Graph in order to determine how temperature affects the rate of digestion of BAPNA by trypsin. Method Eight ml of six different substrate concentrations (2000, 1500, 1250, 1000,

## Vendor Excel Experiment Essay

“Charts” then bar graphs. Since there’s no actual way to create a histogram automatically we had to edit the spacing between the bars in order to make it appear like a histogram. This frequency histogram help us analyze which numbers occurred the most multiple times from the data collected from Vendor A and Vendor B.

## Mitochondria Lab Report

While the absolute value of slope of the graph for the solution containing only 0.5 mL mitochondrial suspension was 4 x 10-4, the slope of the graph for the solution containing 0.5 mL of mitochondrial suspension, 0.5 mL of 100 mM succinate, and 0.5 mL of 100 mM malonate was 7 x 10-4. Although this change is not large, it does demonstrate that the

## Beaker Temperature Lab Report

Discussion: 1. In this graph the temperature that the beaker started of at was at -2 degrees because it had just came out of the freezer for 48 hours. There were times where the graph plateaued out and times when the graph had an incline. There was an incline when the results reached 42 degrees until it reached 90 degrees. The graph plateaued out when the temperature reached 26 degrees and stayed on for one minute (4mins to 5mins). It also stays on 96 degrees for 2 mins (14mins to 16mins). The results

## Blood Alcohol In Blood Stream

Modeling on amount of alcohol in blood stream Contents: Page no. Communication Rationale Introduction Mathematical Presentation Derivation, graph and formulae Personal engagement Reflection Substantial evidence Use of mathematics Communication Rationale: One day I was reading a daily newspaper where I found an editorial on the topic of amount of drug in the blood stream. So I kept on thinking and at a result

## Fractional Distillation

The column has a lower temperature at the top then the bottom thus there is a lower vapor pressure (Gilbert 126). And therefore the bottom as a higher temperature and in order to reach an equilibrium the temperature gradient is formed as shown the graph above (Gilbert 126).The column is utilized so that the vapor reaches the condenser at the bottom of the column and therefore several simple distillation trials need to be done in order to ensure that the distillation can be very effective (Gilbert

## Distributive Justice Principles

a society and tell if that society is just or not. The five major principles of distributive justice are as follows: libertarian, utilitarian, egalitarian, sufficiency, and priority. Given graphs of the American distribution of wealth and income, I will apply these principles and try to interpret if these graphs reveal and injustice in the distribution of wealth and income in

## The Hidden Racism

analyzes data on white Americans. The first graph shows that white individuals in all age groups agreed in the same amount of numbers to statements like “Black people are lazy, black people are unintelligent, and blacks face a little or no discrimination at all” (McElwee 2012). McElwee mentions, “Age tells us far less about an individual’s likelihood of expressing racist sentiments than factors like education, geography and race” (McElwee 2015). Since the graph showed all age groups agreeing similarly

## Macroeconomics Internal Analysis

the economy. Unemployment refers to the situation where individuals are actively seeking but unable to find work. Lastly, although there are various aspects in the term, economic growth refers to an increase in real GDP over the previous year. Graph 1 below refers to a Keynesian model

## Population Growth In South Korea

somewhat smaller area of 38,580 sq. miles is about the same as the Netherlands (16.6 million) or the U.S. state of Indiana (6.4 million) but its population gives it a density of 1,267 persons per sq. mile, one of the world's highest. Both of these graphs are clearly set up towards a decline in population growth. North Korea is the one that I think will suffer the most earlier. With the increasing nuclear tensions between the United States, they may see a decline in their population even earlier than