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http://chronicle.com/blogs/linguafranca/2012/06/28/remembering-alan-turing/?cid=at&utm_source=at&utm_medium=en.
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MHB Remembering Alan Turing: A Pioneering Computer Scientist
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Alan Turing is celebrated as a pioneering computer scientist, notably for his contributions to the development of the first generation of computers in the post-war era. The discussion critiques the article for downplaying Turing's significant role in computer science, emphasizing his expertise in designing, building, and programming early computers. Turing's work extended beyond hardware; he also conceptualized theoretical frameworks, such as his chess program, demonstrating that computer science can be explored without physical computers. His legacy remains influential in both theoretical and practical aspects of computing. Overall, Turing's multifaceted contributions solidify his status as a foundational figure in the field.
Obviously, there is something elementary I am missing here.
To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix
in the real plane; taking the transpose we get
which then corresponds to a-bi...
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