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Irrational Outputs from Rational Inputs in Theta-3 Functions Using Dirichlet’s Theorem
Theta Functions are not an easy subject of mathematics because new researches about this wide topic are still being published regularly. The findings about Theta Functions lead directly to many applications in different fields of applied mathematics and help also to develop old interesting mathematical ...
A new Approach to Hyper Dual Split Quaternions with Different Polar Representation
Hamilton first introduced quaternions in 1843 as a way to represent rotations in three dimensional space, and since then, they have become the important tool in many fields. One advantage of quaternions over other methods of representing rotations is their ability to avoid the problem of gimbal lock, ...