Linear algebra

Introduction to Numerical Linear Algebra and Optimisation. Cambridge [England] ; New York: Cambridge University Press, 1989. -Gockenbach, Mark, and Chang Liu. "Local Convergence of Newton 's Method in the Classical Calculus of Variations." Optimization, 64.4 (2015): 957-980. -Meza…

in the below Pascal’s triangle we add the values of row one and we get two. (1+1=2) As said earlier that it makes life easier for mathematicians in today’s world. The Pascal’s triangle is used in two major areas in math. They are Algebra and Probability. Algebra In this case let us say we use a polynomial x+2, and if we want to raise it to some powers like 1, 2,3,4,5 and so on. Here is a chart below to have an idea. (x+2)^0 = 1 (x+2)^1 = x …

The Middle- East even made headway in topics such as algebraic notation, trigonometry, and algebraic geometry , when the Europeans did not. Not only did the Arabs advance in algebra they also found ways of using mathematical induction to prove formulas and theorems. The Chinese also had a hand in mathematics during Europe’s dark ages. IT was in the Han dynasty that Liu Hui found a sure way to approximate π called the “exhaustion…

The concept of interval valued probability in then developed and applied in chapters 15,16,17,20, 22, and 26 of the TP by Keynes. Interval –valued probabilities are non additive and non linear, since the inequality constraints used can involve powers greater than one. See Brady, 1993;Brady,2002;Brady,2004A; Brady 2004B, and Brady and Arthmar,2012 for a technical discussion of Keynes’s application of his non additive, nonlinear approach…

Moreover, I could pause, rewind, or review the video as needed. I also used Khan Academy, another video source. Sal, the instructor, had a more specific teaching style that held my attention, and it was easier to comprehend. As algebra became more challenging, and I prepared for my finals; I gravitated towards Khan Academy as my main choice for video learning. I experienced the many advantages from a distance learning class. One advantage was all instructions were documented…

The first major difference from a billiard table is that one end is rounded instead of square. The second diversion is that instead of pockets around the edge, the semi-circular end features nine holes (in the manner of Bar Billiards), one in the middle of the semi-circle and the rest surrounding it evenly in a ring. The hole in the middle is numbered nine, the others are numbered 1 - 8 in a semi-random order. Rather like a Billiards table, Pool table or Darts board, a variety of games can be…

It was the end of another long school day when I first heard those words. My kindergartener self and my then first grade sister were squabbling in the backseat of our grandmother’s car about something so insignificant that I can’t even recall what it was. What my grandmother told us has stayed with us forever, “Be nice to each other. That’s the only sister you have.” These words were often repeated, also by our mother, although in a more exasperated manner when our voices were raised in a fight,…

I am investigating the link between children’s tangible representations and abstract algebra to determine how they influence one another. One of the most actively developing and technically difficult areas of, for instance conceptualization and computation, the number-naming systems of East Asian languages such as Chinese follow the rules…

which in ancient times was transparent sphere that lied in the heavens, were the other planets, moon and sun. He proposed that they circled the Earth in a Celestial circular motion. The stars were said to be fixed objects that moved in a Terrestrial linear motion. But like it can happen with any hypothesis, this was continually proved wrong over time. One example is Galileo’s discovery of Jupiter’s moons waxing and waning around it. This shows that though a theory may seem correct, many times…

STRATEGIES FOR THE ACT MATHEMATICS TEST: The ACT mathematics test is designed to assess the mathematical skills students have typically acquired in courses taken up to the beginning of grade 12. The test presents multiple- choice questions that require you to use reasoning skills to solve practical problems in mathematics. • PACE Yourself- The ACT mathematics test contains 60 questions to be completed in 60 minutes. You have an average of 1 minute per question. • If you use calculator, use it…