abandon
发表于 2025-3-21 19:43:45
书目名称Geometric Multiplication of Vectors影响因子(影响力)<br> http://impactfactor.cn/if/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors影响因子(影响力)学科排名<br> http://impactfactor.cn/ifr/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors网络公开度<br> http://impactfactor.cn/at/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors网络公开度学科排名<br> http://impactfactor.cn/atr/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors被引频次<br> http://impactfactor.cn/tc/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors被引频次学科排名<br> http://impactfactor.cn/tcr/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors年度引用<br> http://impactfactor.cn/ii/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors年度引用学科排名<br> http://impactfactor.cn/iir/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors读者反馈<br> http://impactfactor.cn/5y/?ISSN=BK0383576<br><br> <br><br>书目名称Geometric Multiplication of Vectors读者反馈学科排名<br> http://impactfactor.cn/5yr/?ISSN=BK0383576<br><br> <br><br>
装饰
发表于 2025-3-21 23:06:15
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无法治愈
发表于 2025-3-22 02:12:08
Appendix,erefore, 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 (∗)
过分自信
发表于 2025-3-22 04:56:04
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小隔间
发表于 2025-3-22 10:05:23
Euclidean 3D Geometric Algebra (,3),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 very useful form of a multivector:
杀死
发表于 2025-3-22 15:02:58
Human Dignity as a Global Common GoodConsider two consecutive boosts in arbitrary directions and let us try to express them as a product of a boost and a rotation. For the hyperbolic sine and cosine we use the abbreviations . and ., while for the sine and cosine we use . and .. We have
杀死
发表于 2025-3-22 19:11:23
https://doi.org/10.1007/978-981-97-6117-3We know how to multiply unit vectors; therefore, we can try to find some objects to . them. For vectors in .3, we need three parameters (three coordinates), and the geometric product is noncommutative. Consequently, we can choose matrices; 2 × 2 complex matrices will be enough. Matrices are a common choice for various representations.
Terrace
发表于 2025-3-22 23:23:35
The Dirty, Working-Class Problem,Checking directly, we get .. Similarly, it is easy to obtain by a direct multiplication
Scleroderma
发表于 2025-3-23 03:58:35
Applications,Consider two consecutive boosts in arbitrary directions and let us try to express them as a product of a boost and a rotation. For the hyperbolic sine and cosine we use the abbreviations . and ., while for the sine and cosine we use . and .. We have
切掉
发表于 2025-3-23 08:24:09
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