The Symmetry of Imaginary Unit and the Regularization of Integrals
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概要
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The new integral apeared in our generalization of Hilbert transform is naturally and explicitly founded from the symmetric consideration of complex number system. In this course we obtained both parallel and antiparallel integrals following PARITY reasoning in quantum mechanics (the start of elementary quantum mathematics). The concept of the imaginary unit in information processing of formula manipulation by personal computer such as REDUCE and MATHEMATICA will be very helpful for every person to just catch this significant discovery. The new branch of natural science, EXPERIMENTAL MATHEMATICS, not as the artificial science starts from now on with friendly relation to information processing.
- 八戸工業大学の論文
- 1995-03-31
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関連論文
- On a Generalization of Hilbert Transform
- The Symmetry of Imaginary Unit and the Regularization of Integrals