Linear algebra

traditional real quaternions and can be obtained by using the dual number theory which introduced by Clifford [6]. It has been shown that among many mathematical methods such as quaternion/vector pairs, homogeneous transformation matrices and Lie algebra, the dual quaternions provide the most compact and computationally efficient way to describe the six-DOF coupling motion of rigid bodies in 3-D space [7]. The authors in [8] employed dual quaternions representation to derive the coupled dynamics…

Marjorie Lee Brown was born September 9, 1914 Browne left North Carolina Central University in 1979. Sadly, however, she got to experience little of her retirement. On October 19 of that year she died of a heart attack at her home in Durham, North Carolina.. She was a noted mathematics educator, Her mother died when she was only two years old and she was raised by her stepmother and her father, Lawrence Johnson Lee. Her father, a railway postal clerk, was also a "math wizard" who shared his…

of rules and theorems that seemed only relevant for that section. We learned about sine, cosine, and tangent, which were chiseled in our brain. In high school we were introduced to things I didn’t know existed, such as derivatives, 4-step problems, linear regression lines. When I am asked the question what is math, I still seem to divert my attention to the elementary school response and explain that math is finite and always has an answer despite my knowledge that it doesn’t…

When I first started CEGEP, I did not really know what I wanted to do for the rest of my life. Frankly, in regards to the subjects we learned at school I was uncertain about what I truly liked and disliked. Within these past two years, I have had the chance to take a lot of different classes that helped me make a decision on what I would want to pursue in University. Until the beginning, until my forth and last semester at John Abbott College, I wanted to become a psychologist. I did my first…

said never give up! Try and try until you find a solution, which is nice because she was very smart to begin with. First, there are prerequisites just to understand 1st year freshman level Newtonian motions: Fluency in Calculus, Geometry, Trig, Algebra, Vectors and maybe Statistics/Probability. You really need to be mathematically mature meaning depth of understanding beyond just solving textbook problems but be able to apply them in real world situations. Now, it is possible to understand…

Fractions Fractions are difficult to learn and to teach, however they form an important part of primary education mathematics. Fractions both underpin the development of proportional reasoning, including the understanding of algebra and probability. Much of the confusion of teaching and learning fractions appear to be from the many different coding conventions (6/5, 1 1/4, 1.25, 125%), different representations (models) and interpretations (constructs) (Clarke, Roche & Mitchell, 2008). The…

such insights had carried in geometry. With the beginning of civilization, arithmetic and geometry made a primitive form. 3000 BC the Mesopotamian states of Sumer, Akkad, and Assyria, together with Ancient Egypt and Ebola began using arithmetic, algebra, and geometry for purposes of taxation, commerce, trade and also in the field of astronomy and to formulate calendars and record…

Imagine if, after being invented, no more progress would be made on a machine; no newer versions, no efficiency updates, no standardization, the world would be nothing. The world would be a hodgepodge of ideas, poorly knit together into the fabric of society, complete with missed stitches, frayed edges, and mismatched color schemes. Being an engineer is not only about making new machines; it is about being able to mesh many systems together, no matter how different, as well as about updating old…

Becoming a general surgeon is an extensive, strenuous path, but a worthwhile one. To quote Gary Player, a professional golfer, “The harder I practice, the luckier I get” (“50 Inspirational Quotes,” The Muse). Just as he had to work hard to reach the top of his game, surgeons have to work hard to get to the top of the medical field. It takes years of dedication, but it all pays off. Surgery is a highly rewarding career, as they get to see their results everyday through the eyes of the families…

translated into Arabic. The Latin translation of “The Compendious Book on Calculation by Completion and Balancing,” by the ninth-century Persian astronomer and mathematician al-Khwarizmi (c. 780-c. 850), would introduce Europe to algebra, including the first systematic solution of linear and quadratic equations; the Latinized version of al-Khwarizmi’s name gave us the word “algorithm” (Pruitt). To clarify, there are indeed multiple viewpoints of a same event or era, which are equally important…