My Reflections on Assignment One(Loaf Sharing Using Arithmetic Progression). I had the opportunity to work with Chris and Jumia, and I truly appreciated the high level of teamwork. We met several times in the Scarfe building to discuss the task at hand, and each of us put in our best effort to analyze the question we picked. I especially valued the fact that everyone on our team had the chance to share their contributions, and we carefully considered each solution. When there were reservations, we took a step back to reassess our ideas. On presentation day, I felt so proud of my team because our humility shone through. It was all about the task and our shared goal. One surprising experience during the presentation was when Chris mentioned we were sharing the loaf of bread among 12 people, rather than the 9 people we had initially discussed. Instead of interrupting, I was eager to see how we could tackle the problem with th...
Posts
EDCP 442 Presentation by Clementina, Chris and Jumia Loaf Sharing Question Question: Loaf 100 for man 5, , of the 3 above to man 2 those below. What is the difference of share? Interpretation: Divide 100 loaves among 5 men in such a way that (1) the shares received are in arithmetical progression; and (2) of the largest shares (“the 3 above”) equals the smallest 2 shares (“toman 2 those below”). What is the arithmetical progression? Modern Solution Following the formula for an arithmetic progression = a + (n-1) d, where a=first term n = number of terms ...
My Interpretation of Time(Assignment for 15 th of September) While reviewing both articles (by Michael A. Lombardi & J.J. O'Connor and E.F. Robertson), I was surprised by how much of our present-day timekeeping is shaped by historical accidents and practical choices rather than logical reasoning. It is intriguing to realize that I always thought the categorization of 60 seconds making 1 minute, 60 minutes making 1 hour, 24 hours making a day, and 365/366 days making a year was universal. However, the articles reveal that these structures are cultural inventions that became global standards. Personally, I don’t see time as a rigid movement dictated by the clock. Instead, I view it as an everyday pattern of life. Back in Nigeria, a year is fundamentally divided into two parts: the rainy and the dry season. We plan our lives around these seasons, determining when farmers should plant and harvest their crops, as well as when to stay away from the fields. I often realized t...
The Big Idea About the One and Two Pan Scale Puzzle The principle of the two-pan scale is based on the idea of mass equality, whereby the weight on one side must exactly match the weight on the other for the scale to achieve balance. This system is particularly fascinating because it allows for a variety of weights to be represented through combinations of smaller weights, especially when utilizing powers of 3, such as 1 gram, 3 grams, 9 grams, and 27 grams, which measure any number from 1 to 40. The two-pan scale operates using a balanced ternary system, which incorporates three distinct digits: -1, 0, and +1. In this context, 0 signifies that a weight is not used, -1 indicates that the weight is placed on the same side as the item being weighed, and +1 shows that the weight is on the opposite side. This arrangement facilitates efficient calculations and gives room for instinctive calculations. For instance, if a customer asks for 7 grams of herbs, I can explore h...