Results 51 to 60 of about 12,296,089 (360)
The Complexity of Number Theory
, 2020 The Goldbach's conjecture has been described as the most difficult problem in the history of Mathematics. This conjecture states that every even integer greater than 2 can be written as the sum of two primes. This is known as the strong Goldbach's conjecture.
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Complex Numbers, Quantum Mechanics and the Beginning of Time
, 1993 A basic problem in quantizing a field in curved space is the decomposition of the classical modes in positive and negative frequency. The decomposition is equivalent to a choice of a complex structure in the space of classical solutions.
Ashtekar +21 more
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p-adic numbers encode complex networks
Scientific Reports, 2021 The Erdős-Rényi (ER) random graph G(n, p) analytically characterizes the behaviors in complex networks. However, attempts to fit real-world observations need more sophisticated structures (e.g., multilayer networks), rules (e.g., Achlioptas processes ...
Hao Hua, Ludger Hovestadt
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Quintessence and phantom emerging from the split-complex field and the split-quaternion field
, 2015 Motivated by the mathematic theory of split-complex numbers (or hyperbolic numbers, also perplex numbers) and the split-quaternion numbers (or coquaternion numbers), we define the notion of split-complex scalar field and the split-quaternion scalar field.
Chen, Xuelei +2 more
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Network topology drives population temporal variability in experimental habitat networks
Population Ecology, EarlyView.Habitat patches connected by dispersal pathways form habitat networks. We explored how network topology affects population outcomes in laboratory experiments using a model species (Daphnia carinata). Central habitat nodes in complex lattice networks exhibited lower temporal variability in population sizes, suggesting they support more stable ...
Yiwen Xu +3 more
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STATISTICAL BOUNDED SEQUENCES OF BI-COMPLEX NUMBERS
Проблемы анализа, 2023 In this paper, we extend statistical bounded sequences of real or complex numbers to the setting of sequences of bi-complex numbers. We define the statistical bounded sequence space of bicomplex numbers b^* ∞and also define the statistical bounded ...
S. Bera, B. Ch. Tripathy
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Geographic variation in walking activity in the red flour beetle Tribolium castaneum
Population Ecology, EarlyView.This study examined whether there is geographic variation in field populations, focusing on the moving activity in the red flour beetle Tribolium castaneum. Results showed significant differences in moving activity among field populations but no correlation with latitude or meteorological factors.
Kentarou Matsumura
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Complex Algebras of Arithmetic
, 2009 An 'arithmetic circuit' is a labeled, acyclic directed graph specifying a sequence of arithmetic and logical operations to be performed on sets of natural numbers.
Düntsch, Ivo, Pratt-Hartmann, Ian
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occumb: An R package for site occupancy modeling of eDNA metabarcoding data
Population Ecology, EarlyView.This study introduces a new R package, occumb, for the convenient application of site occupancy modeling using environmental DNA (eDNA) metabarcoding data. We outline a data analysis workflow, including data setup, model fitting, model assessment, and comparison of potential study settings based on model predictions, all of which can be performed using
Keiichi Fukaya, Yuta Hasebe
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Considerations on the hyperbolic complex Klein-Gordon equation
, 2010 The article summarizes and consolidates investigations on hyperbolic complex numbers with respect to the Klein-Gordon equation for fermions and bosons. The hyperbolic complex numbers are applied in the sense that complex extensions of groups and algebras
Ulrych, S.
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