Use of an avirulent live Salmonella Choleraesuis vaccine to reduce the prevalence of Salmonella carrier pigs at slaughter. [PDF]
Schwarz P, Kich JD, Kolb J, Cardoso M.
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Rejoinder: More Limitations of Bayesian Leave-One-Out Cross-Validation. [PDF]
Gronau QF, Wagenmakers EJ.
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Iron partitioning at an early growth stage impacts iron deficiency responses in soybean plants (Glycine max L.). [PDF]
Santos CS +3 more
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Understanding Goldbach Partitions Through Composite Patterns and the Primorial Calendar
This paper develops a structural and combinatorial interpretation of Goldbach partitions that complements the standard prime-based counting method g(N). Insteadof scanning for primes, the approach decomposes Goldbach’s function into three components: (1) potential residue-compatible pairs, (2) pairs eliminated (“blocked”) bycomposite occupancy in the ...
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The plant ionome revisited by the nutrient balance concept. [PDF]
Parent SÉ +12 more
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This paper presents an expanded empirical analysis of Goldbach partition counts G₂(n) for even integers up to 1 000 000. Using a high-precision fast-Fourier convolution method, all unordered prime pairs (p,q) satisfying p+q=n were computed and examined for inter-even variations Δ(n)=G₂(n+2)−G₂(n).
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The geminivirus BL1 movement protein is associated with endoplasmic reticulum-derived tubules in developing phloem cells. [PDF]
Ward BM +3 more
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Root iron uptake efficiency of Ulmus laevis and U. minor and their distribution in soils of the Iberian Peninsula. [PDF]
Venturas M +5 more
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An identity for the sum of residues related to Goldbach partitions
In this paper, we define a new arithmetic function \varphi_{k}, which we shall call the Goldbach varphi function, defined as \varphi_{k}:\mathbb{Z}/p_{k}\#\mathbb{Z}\rightarrow\mathbb{R}. We establish a fundamental identity that connects the values of this function with the local count of Goldbach partitions m_{k}(2n) .
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