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978-3-030-01755-2Springer Nature Switzerland AG 2019弓箭 发表于 2025-3-23 18:54:36
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unit pseudoscalar . commutes with all elements of the algebra and squares to −1, and therefore, it is an ideal replacement for the ordinary imaginary unit (there are many “imaginary units” in GA). A pseudoscalar with such properties will appear again in .7, .11, … (see E10). Here we often use a veryCorral 发表于 2025-3-24 14:45:16
Jacqueline Anne Braveboy-Wagnererefore, we can define the exponential function of the elements of a geometric algebra. In .3, we have four important types of elements (numbers): . (dual numbers, square to zero), . (square to −1), . (square to 1), and . (square to itself). Nilpotents are the easiest to deal with: the expansion (∗)exhibit 发表于 2025-3-24 17:43:32
Miroslav JosipovićAn excellent starting point for beginners in the field.An advanced high school student can learn basic concepts from the book.Gradual introduction of concepts with many figures and solved examples夜晚 发表于 2025-3-24 19:04:32
Appendix,dual numbers, square to zero), . (square to −1), . (square to 1), and . (square to itself). Nilpotents are the easiest to deal with: the expansion (∗) gives zeros, except for the first two terms, and consequently, we have具体 发表于 2025-3-24 23:42:10
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