Mathematics enthusiast and author Allex Bellos has created an elliptical pool table and he named it “The Loop Game.” It was supposed to always make the ball go to the table pocket. This can be done by placing the pocket at one of the fociand hitting the ball placed on the other focus. This is easy to say theoretically, but of course in playing, you also have to consider Physics.
Watch the video of one of the newest interesting games that uses mathematics in real life.
In January of this year, we have discussed about the vertical line test. We have learned that if a vertical line intersect a graph more than once, then that graph is not a function. In this post, we learn about the horizontal line test and its relation to inverse functions.
Suppose we have a function . Then, we input and call the output . If we do things backward, suppose we have the number which is in the range of . What value should we input to to get ? Let’s have a more specific example.
Suppose we have the function . And we choose the number which is in the range of . What number should we input in to get ? Well, we will have two numbers, those are and . Continue reading →
This video is a rich discussion about about infinity. It starts from the famous infinite chocolate problem, countable infinity, uncountable infinity, Cantor’s diagonalization system, Hilbert’s hotel, and the Banach-Tarski Paradox. Although the last part is a bit too much for the level of this blog, the explanations before it of the concepts before it are extremely clear and helpful.
If you are a Mac user, and if you want to use a whiteboard software in your class or if you want to screencast your lectures, then you can choose among the three whiteboard software below. The first two are free and the third one has a free version.
Not many people use it, but Paint for Mac is a very useful software. It is a Mac equivalent Paint in Windows. I was using Paint before I migrated to Mac and I’m still using it often particularly in simple image editing particularly cropping. Paint can also be used as a whiteboard software. I myself have used it many times. Continue reading →