In previous post we explained what Ducci sequences are. In this article we will prove several properties. First of all let’s do some exploration and try several things. We will be interested in long term behaviour. For that define Ducci map as . Now what will happen if we will use repeatedly? If is zero …
Take any vector with real numbers as entries, say and produce new vector, namely . You can imagine it as having the numbers in cirlce, going clockwise and taking differences. Then iterate this operation. The sequence of vectors we obtain is called Ducci sequence. For example if we set and take , we obtain this …
Last time we set our environment. Now let’s try to write some code and debug it. The code is extremely vast and very often it is much easier to check how is something similar done rather than trying to think about the solution from scratch. For example in JoF EJK client you can do /say …
Welcome to tutorial on how to begin with coding for JoF EJK client. JoF EJK is fork of OJK. You can clone this repo https://github.com/Milamber0/JoF_EJK/tree/master to do your changes. You will need already installed JKA for this tutorial.
Sometimes people ask me why is reverse engineering so hard. “But you have the files, why don’t you just somehow look in them?” Well, you can “somehow” look in them, but that is the hard part. Let’s try it on example – we will write a code, generate exe and then we will try to …
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