numbers, Integers, Rational numbers, Real numbers, and Irrational numbers. First Natural numbers which are what we use and see as our counting numbers. These numbers consist of these simple numbers 1, 2, 3, 4… and so on. Whole numbers are the next numbers which include all natural numbers along with the number zero which means that they are for example 0, 1, 2, 3, 4… and so on. Integers can also be whole numbers but also can be whole numbers with a negative sign in front of them. Integers are the
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
1. Introduction: As I was looking for a theorem to prove for my Mathematics SL internal assessment, I couldn’t help but read about Fermat’s Little Theorem, a theorem I never heard of before. Looking into the theorem and reading about it made me develop an interest and genuine curiosity for this theorem. It was set forth in the 16th century by a French lawyer and amateur mathematician named Pierre de Fermat who is given credit for early developments that led to infinitesimal calculus. He made significant
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
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
Integer Constant An integer constant is made up of digits without decimal point. Rules The integer constant is formed with digits 0 to 9 Commas and blank spaces are not allowed. The constant can be preceded by + or – sign No special characters are allowed. The value of constant cannot exceed the specified minimum and maximum bounds. There are three types of Integer constants. They are i) Decimal Constant ii) Octal Constant iii) Hexa Decimal Constant Decimal Constant A decimal integer
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
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
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
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
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
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
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
Every home today іѕ fitted wіth a lot оf underground pipes tо take clean water inside thе home аnd tо get thе sewage оut аnd mоѕt оf thе time people take good care оf thе pipes carrying clean water whіlе thе sewage pipes аrе mostly ignored. Ignoring thе sewage pipelines usually leads tо a lot оf problems since a clogged sewage pipes саn lead tо many undesirable consequences thаt саn lead tо many health issues. Thеѕе саn easily bе avoided іf thеу аrе properly inspected оn a timely basis аnd аll thе
Murrieta is a city in the Inland Empire, it is about 34 square miles and has a population of 108,368 as of the last census. Over the past few decades, the city has been exponentially growing in population ever since the I-15 freeway was constructed. With their new infrastructure development, more families, businesses, and homes have settled in Murrieta. Until 1987 Murrieta had a small volunteer Fire Department, then it became an official paid Fire Department. The city is now serviced by an All Risk
The Maximum Product of Any Given Number When Split into Parts The objective of this coursework is to find the formula that gives the maximum product of any given number when split into parts. For the first part of the coursework I am going to investigate the splitting of a number into two parts, then three parts and into four and five parts. For each number of parts, I am going to come up with a formula that gives the maximum product. Starting number 12
Number Stairs: Totals and Positions When I have worked out the formulas for 5 different size stairs on 3 different grid sizes, I will go on to investigate the relationship between all of the formulas. From this I will be able to discover the ultimate formula that will allow me to work out any stair size on any size grid and in any position. As any other formula I will need to predict and prove it, to check that it is correct. But I also need to investigate if there is anywhere on the
“I know I’m a better fighter, if we fight 10 times I will win 10 times, he’s just not a better fighter than me.” This is just one of the many quotes created by the world renowned athlete known as Floyd Mayweather, an undefeated professional boxer and winner of the Best Fighter ESPY Award six times over. The previous quote was during a SHOWTIME Sports interview where Mayweather was asked about his victory over Manny Pacquiao in May 2015. This case study will based around using a specific psychological