Problem 102 of Project Euler asks us the following questionfind the number of triangles in the text file for which the interior contains the origin.This problem can be solved in a plethora of ways as far as I have seen. I like one particular solution though, which involves calculating the area of triangle and compare it to triangles containing the point P which we are testing if it is in the interior of the triangle.

Continue reading...Tuesday, October 4, 2011

I have been in contact with Frederick Koh from Whitegroupmaths.com who kindly agreed that he would write a guest post for the blog to promote what he has to offer - Tutoring in A level maths in Singapore. So without further ado let me present you with the real content.I have been asked on numerous occasions by students to provide a short effective mathematical proof verifying the fact that obtaining the vector product of the normals characterising two separate non parallel planes in 3 dimensional Cartesian space produces **the direction vector of the line arising from the intersection** of the above mentioned planes.

Wednesday, July 27, 2011

This post is shameless promotion of what I think is a great site - Khan Academy. If you don't like shameless promotions, you should stop reading now. The site features a whole set of instructional videos along with a good amount of exercises. All topics are what I consider to be some basic skills of mathematics. Not because they are simple or easy, but because they are fundamental for you to build upon.It brings you all the way from addition (yep, I am not kidding) through calculus, differential equations and probability. A total of more than 2400 videos, including videos on other topics such as chemistry and finance.

Continue reading...Monday, February 7, 2011

Within the field of mathematics I handle every day linear algebra plays a vital role. Linear algebra is a field of mathematics that studies vectors and vector spaces. On common use of linear algebra is to solve a set of linear equations.The reason why I bring up the topic, is that I rediscovered a video version a MIT course in linear algebra taught by Gilbert Strang. I found the videos when I first studied to my exam in linear algebra.I have embedded the first video for your pleasure, and all the videos are linked in the post.

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Saturday, June 23, 2012

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