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mattferraro.dev | ||
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mcyoung.xyz
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| | | | | [AI summary] This text provides an in-depth explanation of linear algebra concepts, including vector spaces, linear transformations, matrix multiplication, and field extensions. It emphasizes the importance of understanding these concepts through the lens of linear maps and their composition, which naturally leads to the matrix multiplication formula. The text also touches on the distinction between vector spaces and abelian groups, and discusses the concept of field extensions, such as [R:Q] and [C:R]. The author mentions their art blog and acknowledges their own drawing of the content. | |
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mathenchant.wordpress.com
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| | | | | And how naive to have imagined that the series ended at this point, in only three dimensions! ???????????? 2001, A Space Odyssey, by Arthur C. Clarke The German philosopher-scientist Gottfried Leibniz dreamed of a universal language and a method of calculation to go with it, so that, if disputes arose on any subject, a disputant | |
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alexkritchevsky.com
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| | | | | [AI summary] The article critiques Geometric Algebra (GA) for its reliance on the geometric product, which the author finds problematic for most purposes. The author argues that GA's focus on complexifying vector algebra to resemble complex numbers and quaternions is unnecessary and confusing. Instead, the author advocates for a simpler approach using exterior algebra and wedge products, emphasizing clarity and intuition over abstract algebraic structures. The author also mentions the philosophical and pedagogical issues with GA, such as its conflation of operators and primitives, and the cultural baggage associated with the term 'Geometric Algebra.' The article concludes by suggesting that while GA has value as an implementation detail, it should not be see... | |
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thepythoncorner.com
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| | | Hi guys, have you ever wondered how can Python dictionaries be so fast and reliable? The answer is that they are built on top of another technology: hash tables. Knowing how Python hash tables work will give you a deeper understanding of how dictionaries work and this could be a great advantage for your Python understanding because dictionaries are almost everywhere in Python. Hash Functions Before introducing hash tables and their Python implementation you have to know what is a hash function and how it works. A hash function is a function that can map a piece of data of... | ||
