New operation with different kind of vectors called recursive vectors

This article describes a new operation with different kind of vectors called recursive vectors that looks interesting by the simplicity and it is easy to be expanded to N dimensions and works like a scalar complex number, that It could be useful for machine learning. It is implemented as built-in operation in Math-c version 1.2.0.

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Classification with recursive vectors and scalars

This article is an example of using recursive vectors to classify 4 types of images with only 4 test samples and other example to solve “xor” problem. The procedure could provide ideas how solve the classification problem in different ways including to scalars. The file mathlib.zip contains the testing images used in this article.

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Solving simultaneous linear equations with quaternions

This article will describe be procedure to solve simultaneous linear equations with quaternions, it will explain the 3 variables and 4 variables equations, converting or displaying each one as a vector. In the process, it will redefined some concepts like vectors for 3 and 4 variables. Also will show some numeric results of this vector expansion for 5 and 6 variables linear equations.

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