Sifting Function Partition for the Goldbach Problem
, 2008 All sieve methods for the Goldbach problem sift out all the composite numbers; even though, strictly speaking, it is not necessary to do so and which is, in general, very difficult. Some new methods introduced in this paper show that the Goldbach problem can be solved under sifting out only some composite numbers.
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New Phytologist, Volume 242, Issue 3, Page 881-902, May 2024.Summary In this review, we untangle the physiological key functions of the essential micronutrients and link them to the deficiency responses in plants. Knowledge of these responses at the mechanistic level, and the resulting deficiency symptoms, have improved over the last decade and it appears timely to review recent insights for each of them.
Grmay Hailu Lilay +6 more
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Understanding the role of boron in plant adaptation to soil salinity
Physiologia Plantarum, Volume 176, Issue 3, May/June 2024.Abstract Soil salinity is a major environmental constraint affecting the sustainability and profitability of agricultural production systems. Salinity stress tolerance has been present in wild crop relatives but then lost, or significantly weakened, during their domestication. Given the genetic and physiological complexity of salinity tolerance traits,
Mei Qu +6 more
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Commodity risk assessment of Petunia spp. and Calibrachoa spp. unrooted cuttings from Kenya
EFSA Journal, Volume 22, Issue 4, April 2024.Abstract The European Commission requested the EFSA Panel on Plant Health to evaluate the probability of entry of pests (likelihood of pest freedom at entry), including both regulated and non‐regulated pests, associated with unrooted cuttings of the genera Petunia and Calibrachoa produced under physical isolation in Kenya. The relevance of any pest for
EFSA Panel on Plant Health (PLH) +33 more
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Commodity risk assessment of Petunia spp. and Calibrachoa spp. unrooted cuttings from Guatemala
EFSA Journal, Volume 22, Issue 1, January 2024.Abstract The European Commission requested the EFSA Panel on Plant Health to evaluate the probability of entry of pests (likelihood of pest freedom at entry), including both, regulated and non‐regulated pests, associated with unrooted cuttings of the genera Petunia and Calibrachoa produced under physical isolation in Guatemala.
EFSA Panel on Plant Health (PLH) +35 more
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A Proof of Goldbach Conjecture by Using Goldbach Partition Model Table and Sieve Functions
, 2015 Goldbach's Conjecture(GC) states that any even integer ≥ 4 can be represented by the sum of two prime numbers. This was conjectured by Christian Goldbach in 1742 and still remains unproved. In this thesis we proved GC by introducing Goldbach Partition Model Table(GPMT) and Sieve Functions(SFs).
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On the existence of a non-zero lower bound for the number of Goldbach partitions of an even integer
, 2008 The Goldbach partitions of an even number greater than 2, given by the sums of two prime addends, form the non-empty set for all integers 2n with 2 ≤ n ≤ 2 × 1014.
Davis, Simon
core
Optimization applications of Goldbach's conjecture. [PDF]
Heliyon, 2023 Lin BMT, Lin SM, Shyu SJ.
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Secure Communication Protocols, Secret Sharing and Authentication Based on Goldbach Partitions
, 2017 This thesis investigates the use of Goldbach partitions for secure communication protocols and for finding large prime numbers that are fundamental to these protocols.
Memon, Adnan Ahmed
core
Microtubule and Actin Cytoskeletal Dynamics in Male Meiotic Cells of Drosophila melanogaster. [PDF]
Cells, 2022 Frappaolo A +2 more
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