Snapshot: Vanishing meadows
نویسندگان
چکیده
منابع مشابه
Inversive meadows and divisive meadows
An inversive meadow is a commutative ring with identity and a total multiplicative inverse operation satisfying 0 = 0. Previously, inversive meadows were shortly called meadows. In this paper, we introduce divisive meadows, which are inversive meadows with the multiplicative inverse operation replaced by a division operation. We introduce a translation from the terms over the signature of divis...
متن کاملArithmetical meadows
An inversive meadow is a commutative ring with identity equipped with a total multiplicative inverse operation satisfying 0 −1 = 0. Previously, inversive meadows were shortly called meadows. A divisive meadow is an inversive meadows with the multiplicative inverse operation replaced by a division operation. In the spirit of Peacock's arithmetical algebra, we introduce variants of inversive and ...
متن کاملDifferential Meadows
A meadow is a zero totalised field (0 = 0), and a cancellation meadow is a meadow without proper zero divisors. In this paper we consider differential meadows, i.e., meadows equipped with differentiation operators. We give an equational axiomatization of these operators and thus obtain a finite basis for differential cancellation meadows. Using the Zariski topology we prove the existence of a d...
متن کاملSquare root meadows
Let Q0 denote the rational numbers expanded to a meadow by totalizing inversion such that 0 = 0. Q0 can be expanded by a total sign function s that extracts the sign of a rational number. In this paper we discuss an extension Q0(s, √ ) of the signed rationals in which every number has a unique square root.
متن کاملVanishing Vanishing Cycles
If A• is a bounded, constructible complex of sheaves on a complex analytic space X, and f : X → C and g : X → C are complex analytic functions, then the iterated vanishing cycles φg[−1](φf [−1]A •) are important for a number of reasons. We give a formula for the stalk cohomology H∗(φg[−1]φf [−1]A •)x in terms of relative polar curves, algebra, and the normal Morse data and micro-support of A•.
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ژورنال
عنوان ژورنال: Nature
سال: 2009
ISSN: 0028-0836,1476-4687
DOI: 10.1038/460017b