Puzzle games can be very enjoyable and is popular amongst kids as well as adults. Many of you may know the game Sudoku; where by the goal of the game is to fill in the remaining empty cells with each number from 1-9 appearing no more than once from each column, each row and each of the nine sub-grids. Sudoku is a type of logic-based […]
The Central Limit Theorem The central limit theorem is the second fundamental theorem in probability after the ‘law of large numbers.’ The‘law of large numbers’is atheoremthat describes the result of performing the same experiment a large number of times. According to the law, theaverageof the results obtained after a large number of trials should be close to theexpected value, and will tend to become closer […]
Problem 4. (20 pts) Triangles in S2 (Part I). Let TCS be a triangle in S, defined by the lines L1, L2, L3 CS. (a) Show that the area of the unit radius 2-sphere is 4. (b) Show that the area of a sector of angle a is a/2 the area of the 2-sphere. A sector of angle a is the bigon described by two […]
Some aspects of mathematics can be dull and tedious from start to end, much of it however is intriguing and inspiring, when you truly see the beauty and the relevance. This is why I would like to bring to your attention the magic of the Fibonacci numbers. If you have ever looked at a sheet of paper and wondered Why do we use those dimensions? […]
Pediatrics and Geometry Pediatrics are physicians who take care of children and adolescents. They take care of the patient since birth until the patient’s teenage years. Pediatrics have to do check ups, and examine the children and to make sure they are not ill. (1). They have to treat infections, injuries, many diseases and dysfunctions. Pediatrics also, have to do paperwork, they have to spend […]
DEFINITE INTEGRAL Integration is an important concept in mathematics which, together with differentiation, forms one of the main operations in calculus. Given a function ƒ of a real variable x and an interval [a, b] of the real line, the definite integral, is defined informally to be the net signed area of the region in the xy-plane bounded by the graph of ƒ, the x-axis, […]
This dissertation gives an account of the irrationality of the mathematical constant. Starting with a look into the history of irrational numbers of which is a part of, dating back to the Ancient Greeks and through to the theory behind exactly why is irrational. 1. Introduction: In this paper, I aim to look at some of the history and theory behind irrational numbers ( in […]
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