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Envelope of projectile motion
Envelope of projectile motion For any given launch angle and for a fixed initial velocity we will get projectile motion. In the graph above I have changed the launch angle to generate different...
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Time dependent gravity and cosmology!
Time dependent gravity and cosmology! In our universe we have a gravitational constant – i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force...
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The Barnsley Fern: Mathematical Art
The Barnsley Fern: Mathematical Art This pattern of a fern pictured above was generated by a simple iterative program designed by mathematician Michael Barnsely. I downloaded the Python code from the...
View ArticleGalileo’s Inclined Planes
Galileo's Inclined Planes This post is based on the maths and ideas of Hahn's Calculus in Context - which is... Continue Reading →
View ArticleWhat is the average distance between 2 points in a rectangle?
What is the average distance between 2 points in a rectangle? Say we have a rectangle, and choose any 2... Continue Reading →
View ArticleThe Perfect Rugby Kick
https://www.youtube.com/watch?v=rHdYv62F5fs The Perfect Rugby Kick This was inspired by the ever excellent Numberphile video which looked at this problem from... Continue Reading →
View ArticleThe Monty Hall Problem – Extended!
https://www.youtube.com/watch?v=mhlc7peGlGg A brief summary of the Monty Hall problem. There are 3 doors. Behind 2 doors are goats and behind... Continue Reading →
View ArticleThe Holy Grail of Maths: Langlands. (specialization vs generalization).
https://www.youtube.com/watch?v=4dyytPboqvE This year's TOK question for Mathematics is the following: "How can we reconcile the opposing demands for specialization and... Continue Reading →
View ArticleTime dependent gravity exploration
Time dependent gravity exploration In our universe we have a gravitational constant - i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force exerted...
View ArticleMaths and Evolutionary Biology
Maths and Evolutionary Biology Mathematics is often utilised across many fields - lets look at an example from biology, evolutionary biology and paleontology, in trying to understand the development of...
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