Transcomplex topology and elementary functions

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• [1] J. A. D. W. Anderson. Trans-Floating-Point Arithmetic Removes Nine Quadrillion Redundancies From 64-bit IEEE 754 Floating-Point Arithmetic. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 80–85, 2014. • [2] J. A. D. W. Anderson. Transmathematical Basis of Infinitely Scalable Pipeline Machines. In Slawomir Koziel, Leifur Leifsson, Michael Lees, Valeria V. Krzhizhanovskaya, Jack Dongarra and Peter M.A. Sloot, editor, International Conference On Computational Science, ICCS 2015 Computational Science at the Gates of Nature, Procedia Computer Science, volume 51, pages 1828–1837, 2015. • [3] J. A. D. W. Anderson and T. S. dos Reis. Transreal limits expose category errors in ieee 754 floating-point arithmetic and in mathematics. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 86–91, 2014. • [4] J. A. D. W. Anderson and T. S. dos Reis. Transreal newtonian physics operates at singularities. Synesis, 7(2):57–81, 2015. • [5] J. A. D. W. Anderson, N. V¨olker, and A. A. Adams. Perspex machine viii: Axioms of transreal arithmetic. In Longin Jan Lateki, David M. Mount, and Angela Y. Wu, editors, Vision Geometry XV, volume 6499 of Proceedings of SPIE, pages 2.1–2.12, 2007. • [6] T. S. dos Reis and J. A. D. W. Anderson. Construction of the transcomplex numbers from the complex numbers. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 97–102, 2014. • [7] T. S. dos Reis and J. A. D. W. Anderson. Transdifferential and transintegral calculus. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 92–96, 2014. • [8] T. S. dos Reis and J. A. D. W. Anderson. Transreal calculus. IAENG International Journal of Applied Mathematics, 45(1):51–63, 2015. • [9] T. S. dos Reis and J. A. D. W. Anderson. Transreal limits and elementary functions. In Haeng Kon Kim; Mahyar A. Amouzegar; Sio long Ao, editor, Transactions on Engineering Technologies – World Congress on Engineering and Computer Science 2014, pages 209–225. Springer-Verlag, 2015. • [10] T. S. dos Reis, W. Gomide, and J. A. D. W. Anderson. Construction of the transreal numbers and algebraic transfields. IAENG International Journal of Applied Mathematics, 46(1):11–23, 2016.