discover and elaborate on the many different patterns exhibited in the Pascal’s triangle. One of the main reasons this choice of topic spoke to me is because it relates to a lot of things we do in math class such as Pascal’s triangle, probability, sequences and series, binomial theory, and negative coefficients. Another reason I choose this topic because I am very interested in patterns and I find myself intrigued by patterns and puzzles. It will be interesting to see what I discover. Blaise Pascal
system and for his sequence of numbers known as the Fibonacci numbers. Starting with 0 and 1 as the first two numbers, each number in the sequence is the sum of the two preceding numbers. He came across these numbers as a solution to a problem that he used as an example in one of his many publications. He was not aware of the importance of his findings at the time. Many uses have been found for these numbers since Leonardo’s death and many mathematicians have used this sequence in their own theories
Fraction Differences First Sequence To begin with I looked at the first sequence of fractions to discover the formula that explained it. As all the numerators were 1 I looked at the denominators. As these all increased by 1 every time, I figured that the formula was simply [IMAGE] as the denominators corresponded to the implied first line as shown in this table below: nth number 1 2 3 4 5 6 7 8 Denominators 1 2 3 4 5 6 7 8 I shall
The Texas City Disaster of 1947 was a disaster that really left a impact to the world. The Texas City Disaster of 1947 was one of the world's worst industrial disasters. Two days before the disaster a fire had occurred at the dock where the boat was stationed. The fire that happened two days before the disaster was started by a cigarette. And their is a law stating that their is no smoking on or around the dock. The grandcamp boat was a recently re-activated boat that measured 437 feet in length
In order to familiarize franchising, its history must be known. (The History of Franchising, 2007) the word franchise came from the old French meaning privilege. In the middle ages, franchise is a privilege wherein the local sovereign words will grant to hold markets to hunt on hid land. It is shown in the phrase that franchise started as early as the middle ages. The king was like the franchisor which allows his business commercial activities to be used by the other businessmen or franchisees. It
Matchstick Staircase Investigation Introduction This investigation is based on the 'number sequence' and I am going to make further more matchstick staircases for this investigation. Investigation to find out the number of matchsticks on the perimeter in a matchstick staircase using the GENERAL RULE. I have drawn 6 matchstick staircases on the graph paper and I am going to put the number of matchsticks on the base, number of matchsticks on the perimeter, total number of matchsticks
Humans and other vertebrates have been in a dynamic relationship thousands of years. Animals have been used in many aspects of human lives various ways, directly for instance as, farm animals, companion animals, animals in entertainment industries. Animals have also been associated with humans indirectly such as in medical research. In Canada, human and non-human animals interactions do fall under these categories, Farm animals comprise of largest group, there are between 100 million to 1 billion
Bioinformatics - Solving Biological Problems Using DNA and Amino Acid Sequences 1. Introduction In the wake of Genomic revolution, biology that used to be a lab-based science has transformed to embrace Information science. Human Genome Project is a 13-year project focusing on identifying approximately 30,000 genes in human DNA. The information found is stored in databases, analyzed and used for different purposes like simplifying diagnosis of disease, earlier detection of genetic predisposition
Analysis of a Sixty Second Sequence of I Robot Throughout this essay I will be analysing a sixty second sequence of the film I-Robot. Directed by Alex Proyas, the film was released in 2004 and was a hit at the box office. The film is an action-thriller inspired by Isaac Asimov’s classic short story collection. Asimov’s books set forth the three laws of robotics. Law 1. A Robot may not injure a human being or, through inaction, allow a human being to come to harm. Law 2. A Robot must obey orders
I am going to investigate the gradients of the graphs Y=AXN Where A and N are constants. I shall then use the information to find a formula for all curved graphs. To start the investigation I will draw the graphs where A=1 and N= a positive integer. Y=X2 X Height Width Gradient 1 1 0.5 2 2 4 1 4 3 9 1.5 6 4 16 2 8 Looking at the results above I can see that the gradient is twice the X value, the height is X2 and the width is
Home Burial Robert Frost’s “Home Burial” is a very well written poem about a husband’s and a wife’s loss. Their first born child has died recently. Amy and her husband deal with their loss in two very different ways, which cause problems. Amy seems like she confines their child to the grave. She never seems to le go of the fact she has lost her first child. Amy’s husband buried their child himself. This allowed him to let go and live a normal life. Amy does not understand how he could do what
System Boot Sequence The system BIOS is what starts the computer running when you turn it on. The following are the steps that a typical boot sequence involves. Of course this will vary by the manufacturer of your hardware, BIOS, etc., and especially by what peripherals you have in the PC. Here is what generally happens when you turn on your system power: 1. The internal power supply turns on and initializes. The power supply takes some time until it can generate reliable power for the rest of
My philosophy of classroom management is to allow students to be responsible for their own behavior at all times. I believe allowing students to be responsible for their behavior and actions allow them to have a sense of freedom. When students have freedom, they seem to be more successful and respectful. Classroom management is more successful when the class is student-centered. Students should be included in the planning of classroom rules, room arrangement, and communication should flow smoothly
Structure, Theme and Convention in Sir Philip Sidney's Sonnet Sequence The sixteenth century was a time of scientific, historical, archaeological, religious and artistic exploration. More attention was being allotted to probing into the depths of the human psyche and it was up to the artists and poets rather than the priests and scholars to examine and mirror these internal landscapes. The 'little world of man' [1] was reflected through various artistic forms, one of which was the sonnet, which
Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermat's education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system
This is not a disclaimer in the sense of who in their right mind could possibly consider placing my name on the top of the list as the one person who could save the entire planet from being invaded from aliens or outright destroyed. It was all true and I was even shown the list of names of the ten men chosen and all except one had a line through it. Yes-sir-re, there it was on the top line and in bold print no less. It was the name that my momma stuck me with in all its glory. In my mind there
Euclid was one of the world’s most famous and influential Mathematicians in history. He was born about 365 BC in Alexandria, Egypt, and died about 300 BC. His full name is not known but Euclid means “good glory”. Little was ever written about Euclid and much of the information known are from authors who wrote about his books. He studied in Plato’s ancient school in Athens and later went to Alexandria in Egypt, where he discovered a well-known division of math, known as Geometry. Thus, he was named
Summary In this paper I will be talking about the Roman Numerals, a system that started showing up in the early 500 B.C. This system consists in symbols used to represent different numbers, most of these symbols have a meaning behind that has to do with using the hands. Just as we have rules in our system they also had their own rules that needed to be followed. They developed a way to write numbers in a larger way by placing bars in different places when writing a number, this meant that the number
uclid’s proof of the Infinitude of Primes — Proof by contradiction (Reductio ad absurdum): (1.3.3) Prove that there are infinite number of prime numbers. Assume that there are finite many primes: T = {P1, P2, P3, P4, P5, P6… Pn} Let Q be a number which is equivalent to the product of the finite many prime numbers, plus one. Q = (P1 x P2 x P3 x P4 x P5… Pn) + 1 Therefore, there can only be two possible types of numbers that Q can be, namely a prime number, or a composite number. If Q is a prime
The college I did research on was the University of Southern California (USC). I chose USC because since I entered the Avid program it has been my dream to go there and I feel like it is a good school that suits me. USC is located in Los Angeles, California. The city where USC is located in is los Angeles. The weather is usually very sunny. Its population is 3.884 million people. Some of its attractions are Universal Studios, Griffith Observatory, Hollywood Sign and the Hollywood Walk of Fame