BRUNT
发表于 2025-3-23 10:12:24
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柔美流畅
发表于 2025-3-23 14:24:55
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Expand
发表于 2025-3-23 18:48:55
Partielle Differenzialgleichungen,es are in the centre of modern commutative algebra as a unifying approach. Formally, the notion of a module over a ring is the analogue of the notion of a vector space over a field, in the sense that a module is defined by the same axioms, except that we allow ring elements as scalars and not just f
exceptional
发表于 2025-3-24 01:25:47
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Aggressive
发表于 2025-3-24 02:39:03
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GOAT
发表于 2025-3-24 10:13:42
https://doi.org/10.1007/978-3-540-73649-3latter rings contain informations about arbitrary small Zariski neighbourhoods of 0 ∈ .. Such neighbourhoods turn out to be still quite large, for instance, if . = 1 then they consist of . minus a finite number of points. If we are working over the field . = ℂ, respectively . = ℝ, we can use the con
inchoate
发表于 2025-3-24 12:55:38
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condescend
发表于 2025-3-24 17:26:57
https://doi.org/10.1007/978-3-540-73649-3, the values of this function are given by a polynomial, the Hilbert polynomial. To show this, we use the Hilbert-Poincaré series, a formal power series in . with coefficients being the values of the Hilbert function. This power series turns out to be a rational function.
胆大
发表于 2025-3-24 21:42:16
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Leaven
发表于 2025-3-24 23:28:07
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