The second spectrum of nickel (Ni II) (addenda and errata)
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چکیده
منابع مشابه
Addenda and Errata: on Nondegeneracy of Curves
(1) Beginning of Section 5: We write that every genus g hyperelliptic curve over a perfect field k is birationally equivalent (over k) to a curve of the form y + q(x)y = p(x) where p(x), q(x) ∈ k[x] satisfy 2 deg q(x) ≤ deg p(x) and deg p(x) ∈ {2g + 1, 2g + 2}. This is false for (and only for) k = F2. Namely, this will fail for any hyperelliptic curve C over k = F2 for which the degree 2 morphi...
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At this point, there are more additions than errors to report... 1.1. Pythagoras’ Constant. A geometric irrationality proof of √ 2 appears in [1] and a curious recursion is studied in [2]. More references on radical denestings include [3, 4, 5, 6]. 1.2. The Golden Mean. The cubic irrational χ = 1.8392867552... is mentioned elsewhere in the literature with regard to iterative functions [7, 8, 9]...
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All this can easily be resolved by writing function application in the reverse order: x.f = f(x). In that case, we could define x.(f ◦ g) = (x.f).g, and everything would be “in order”. It seems less “natural” to reverse the order in the signature, and write f : B ← A. However, in some programming languages (C, C++, Java), that order is used in definitions of functions/methods: double sqrt(doubl...
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ژورنال
عنوان ژورنال: Journal of Research of the National Bureau of Standards Section A: Physics and Chemistry
سال: 1971
ISSN: 0022-4332
DOI: 10.6028/jres.075a.029