Results 11 to 20 of about 61,568 (111)
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 ...
Jie Pan
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Complex Circles of Partition and the Asymptotic Binary Goldbach Conjecture
, 2022 In this work, we continue the complex circle of partition development that was started in our foundational study [3]. With regard to commandits embedding circle, we define interior and exterior points. On this foundation, we expand the concept of point density, established in [2], to include complex circles of partition.
Theophilus Agama, Berndt Gensel
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A Note on Goldbach Partitions of Large Even Integers [PDF]
The Electronic Journal of Combinatorics, 2015 Let $\Sigma_{2n}$ be the set of all partitions of the even integers from the interval $(4,2n], n>2,$ into two odd prime parts. We show that $|\Sigma_{2n}| \sim 2n^2/\log^2{n}$ as $n\to\infty$. We also assume that a partition is selected uniformly at random from the set $\Sigma_{2n}$. Let $2X_n\in (4,2n]$ be the size of this partition.
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A progress on the binary Goldbach conjecture
, 2022 In this paper, we develop the method of circle of partitions and associated statistics. As an application, we prove conditionally the binary Goldbach conjecture. We develop series of steps to prove the binary Gold-bach conjecture in full.
Agama, Theophilus
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TWO CONJECTURES CONCERNING EXTENTS OF SMARANDACHE FACTOR PARTITIONS [PDF]
, 2001 In this paper we verify two conjectures concerning extents of Smarandache factor ...
Maohua, Le
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Relative Goldbach Partitions and Goldbach\u27s Conjecture [PDF]
, 2016 In this note, we utilize techniques from discrete mathematics to develop first an inequality, and then second a counting formula that is connected to Goldbach\u27s conjecture.
Hutchinson, Houston
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Random partitions in statistical mechanics [PDF]
, 2014 We consider a family of distributions on spatial random partitions that provide a coupling between different models of interest: the ideal Bose gas; the zero-range process; particle clustering; and spatial permutations.
Nicholas Ercolani (16242443) +8 more
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Fractal in the statistics of Goldbach partition
, 2006 Some interesting chaos phenomena have been found in the difference of prime numbers. Here we discuss a theme about the sum of two prime numbers, Goldbach conjecture. This conjecture states that any even number could be expressed as the sum of two prime numbers.
Liang, Wang, Yan, Huang, Zhi-cheng, Dai
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Divisor Goldbach Conjecture and its Partition Number
, 2016 Based on the Goldbach conjecture and arithmetic fundamental theorem, the Goldbach conjecture was extended to more general situations, i.e., any positive integer can be written as summation of some specific prime numbers, which depends on the divisible factor of this integer, that is: For any positive integer $n~(n>2)$, if there exists an integer $m$,
Kun, Yan, Biao, Li Hou
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Classification of index partitions to boost XML query performance [PDF]
, 2010 XML query optimization continues to occupy considerable research effort due to the increasing usage of XML data. Despite many innovations over recent years, XML databases struggle to compete with more traditional database systems. Rather than using node
Marks, Gerard +4 more
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