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More Discrete Structures

2012
This chapter presents other mathematical structures which can be encoded using the notions of sets, relations and functions. The first structures formalised are multisets, which enable reasoning about collections of objects similar to sets, but which allow multiple copies of the same item.
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Discrete-time, discrete stage-structured predator–prey models

Journal of Difference Equations and Applications, 2005
Two discrete-time, discrete stage-structured predator–prey models are presented and analyzed. For these models it is shown that both populations go to extinction when the intrinsic growth rate of the prey is less than one. The prey population dynamics exhibits synchronizing phenomenon in the absence of its predator if the prey population is stage ...
Sophia R.-J. Jang, Azmy S. Ackleh
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Discrete Haar Transform and Protein Structure

Journal of Biomolecular Structure and Dynamics, 1997
The discrete Haar transform of the sequence of the backbone dihedral angles (phi and psi) was performed over a set of X-ray protein structures of high resolution from the Brookhaven Protein Data Bank. Afterwards, the new dihedral angles were calculated by the inverse transform, using a growing number of Haar functions, from the lower to the higher ...
openaire   +3 more sources

Phase transitions in discrete structures

2015
Over the past 20 years physicists have developed an ingenious but non-rigorous approach to random discrete structures, the so-called cavity method. This technique has led to many intriguing predictions as to, e.g., the precise location and nature of phase transitions and the performance of algorithms.
openaire   +1 more source

Geometry of Discrete Conformal Structures

Calculus of Variations and Partial Differential Equations
This paper continues an investigation into conformal structure on surfaces with boundaries that was initiated by \textit{X. Xu} and \textit{C. Zheng} [``Discrete conformal structures on surfaces with boundary (I) -- Classification'', Preprint, \url{arXiv:2401.05062}].
openaire   +2 more sources

B cells and tertiary lymphoid structures as determinants of tumour immune contexture and clinical outcome

Nature Reviews Clinical Oncology, 2022
Wolf H Fridman   +2 more
exaly  

Two-Dimensional Metal-Organic Framework Materials: Synthesis, Structures, Properties and Applications

Chemical Reviews, 2021
Gouri Chakraborty   +2 more
exaly  

System of sequences in multivariate reticular structures

Nature Reviews Materials, 2022
Stefano Canossa, Zhe Ji
exaly  

Chiral Photocatalyst Structures in Asymmetric Photochemical Synthesis

Chemical Reviews, 2022
Matthew J Genzink   +2 more
exaly  

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