Titlebook: Geometric Algebra Applications Vol. II; Robot Modelling and Eduardo Bayro-Corrochano Book 2020 Springer Nature Switzerland AG 2020 Cogniti

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https://doi.org/10.1007/978-3-663-05373-6ramming which you have to take into account to generate a sound source code. At the end, we will discuss the use of specialized hardware as FPGA and Nvidia CUDA to improve the efficiency of the code processing for applications in real time.

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https://doi.org/10.1007/978-3-642-58171-7an motion of points, lines, and planes can be advantageously represented using the algebra of motors. The computational complexity of direct and indirect kinematics and other problems concerning robot manipulators are dependent on the robot’s degrees of freedom as well on its geometric characteristi

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https://doi.org/10.1007/978-1-4612-0085-7 algebra; the last is used most often. However, in these frameworks, handling the kinematics and dynamics involving only points and lines is very complicated. In previous chapter, the motor algebra was used to treat the kinematics of robot manipulators using the points, lines, and planes. We also us

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Der ,-dimensionale inhomogene lineare Fall,cessary, and this is known as synaptic plasticity [.]. The neuroplasticity?was investigated and later used in Artificial Neural Networks (ANN), where these ANN were called the third generation of neural networks [.]. The main advantage of the third generation of neural networks, or Spiking Neural Ne

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Geometric Algebra for Modeling in Robotic Physics,n the fields of artificial intelligence, robotics, and intelligent machines acting within the perception and action cycle. We begin with a short tour of the history of mathematics to find the roots of the fundamental concepts of geometry and algebra.

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Lie Algebras, Lie Groups, and Algebra of Incidenceo understand the subject and practitioners have difficulties to try the equations in certain applications. For this reason, this chapter reviews concepts and equations most of them introduced by Hestenes and Sobzyk [., Chap. 8] and the article of Doran et al. [., Sect. IV]. This chapter is written i

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2D, 3D, and 4D Geometric Algebrasf a cubic equation in terms of conjugated complex numbers. A Norwegian surveyor, Caspar Wessel, was in 1798 the first one to represent complex numbers by points on a plane with its vertical axis imaginary and horizontal axis real. This diagram was later known as the Argand diagram, although the true