An ALGORITHM to APPROXIMATE REALS by RATIONALS of Form

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hello boys and girls in this video we are going to implement a short little algorithm that given some real number on who muted it will be some floating-point number or maybe some rational number the algorithm gives you a sequence of approximations to that number and there are good approximations in the sense that we control the size of the denominator for example we're going to control the size it needs to store our approximation and this ties on a one hand to the video on undecidability that I did this week in a sense that I'm going to use this small virtual machine wrapper class in person it is basically a wrapper for a while loop and the point is just that you know if you would go on Stack Exchange and search for the algorithms how to rationally approximate some number with some boundary conditions from side conditions then you will find an algorithm and you will able to learn it and implement it yourself the point of the video is that I developed some tools that I will use also in