through Wisdom Path is like walking a journey in our life and we will never know where the path will leads us to from the beginning until the end of journey. Back to the facts of Wisdom Path, there are 38 timber columns in the spot but only 37 are with Chinese calligraphy inscription whereas the one on the highest point left blank which symbolizes ‘emptiness’. This does not mean emptiness at the end of journey even though it locates at the highest point but we can choose our own pathway whether…
5. Hopf-Andronov-Poincare bifurcation In this section, we shall show that the system (2) undergoes a Hopf-Andronov-Poincare bifurcation by using as a bifurcation real parameter. Without loss of generality, suppose that is a function of and . Then system (2) becomes (29) with . System (29) can be written as (30) where , and is the bifurcation real parameter. The function is a on an open set in . Let be the set of equilibria of system…
The Accomplishments of Jean Jacques Rousseau Jean Jacques Rousseau was one of the few people who could be considered as a jack of all trades. He was a philosopher, author, and composer, and he also dabbled in botany and mathematics. He produced many wonderful works in his lifetime and had made several important contributions to music, literature, and political philosophy. His professional success belied the difficult childhood that he had. His mother died a few days after he was born, and his…
“The golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.” (Elaine J. Hom )After the 21st century, golden ratio represents as a phi in Greek alphabet. The equation for golden ratio is a/b = (a+b)/a = 1.6180339887498948420 …,but if we round it two places, it will be 1.62.the golden ratio is also called the golden mean, golden section, golden number and so on. The…
Introduction Mathematics is a necessary aspect of my life. In my home, work, school and even social environments, numbers surround me. Over many years, I have learned how to derive meaning from them or use them to help me figure things out. During this unit, I have learnt, re-learnt and applied various areas of mathematics to help me achieve the outcomes and find solutions to each ‘Thinking Time Problem’ [TTP] presented. These relate to the Australian Curriculum- Mathematics proficiency strands…
Content of Interview In this interview I focused on asking the students questions that assess different types of mathematical approaches. For instance, I asked questions pertaining mental math, adding, subtracting, putting numbers in order from least to greatest, and word problems. I wanted to address the different aspects of math in order to have a better understanding of what type of level is the student performing in. Throughout the interview, I saw that the students used his strategies to…
Experience with the types of mathematics that precede Calculus II will allow me to not struggle overly with new material such as partial fractions. Calculus II builds on the derivatives and integrals of Calculus I and the knowledge of how to simplify complex functions from Algebra. An…
gains/seeks shared knowledge. So to what extent does the knower’s reliability shape the pursuit for shared knowledge? Religion is typically a devotion thing creating emotion. Natural Science however was based off of scientists reasons causing a bias. And Mathematics which is based off of facts and being named an universal language. In the religion of Islam for example, Muslims are to live off the the moral principles of the five pillars, the Quran,…
LITERATURE Henri Poincaré’s valuable ideas were documented in the many books and papers he published on mathematics. Although he never published an autobiography, several biographies have been written about him. Henri Poincaré worked with literature in such a way that the average could easily connect with his ideas. In his lifetime, Poincaré published more than twenty-five volumes of writings (Henri Poincare : Biography 10). Many of his works were constructed originally as smaller…
Statement of Purpose Mathematics and geometry have always been my passion since my childhood. I had easily learned the numbers and basic calculations before I started primary school. I have consistently passed my mathematics classes successfully through my eagerness of the mathematics. Since I was a successful student at the other classes as well, I got opportunity to go to one of the most prestigious high schools which was far from my town. In addition, I was the first person who went to this…