2021
DOI: 10.1142/9789814713955_0012
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A Study of the Writing Features of Primary School Mathematics Textbooks

Abstract: Let Z p be the ring of p-adic integers and a n pxq be the n-th digit of Schneider's p-adic continued fraction of x P pZ p . We study the growth rate of the digits ta n pxqu ně1 from the viewpoint of multifractal analysis. The Hausdorff dimension of the set) is completely determined for any ψ : N Ñ R `satisfying ψpnq Ñ 8 as n Ñ 8. As an application, we also calculate the Hausdorff dimension of the intersection setsfor the above function ψ and 0 ď α 1 ă α 2 ď 8.

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Cited by 4 publications
(9 citation statements)
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References 76 publications
(118 reference statements)
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“…The agglomeration efficiency represents the proportion of water droplets that gather after a collision in the flow field. 49,53 Currently, there are primarily two prevailing models in the existing literature for quantifying the agglomeration efficiency of particles subsequent to collision: linear model and curve model. Among them, the linear model does not consider the van der Waals attraction between particles and the shear force of the flow field on the particles, and the model thinks that the particles will definitely aggregate once they collide, 54 therefore, the calculation is often greater than the actual value, and the accuracy is lacking.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The agglomeration efficiency represents the proportion of water droplets that gather after a collision in the flow field. 49,53 Currently, there are primarily two prevailing models in the existing literature for quantifying the agglomeration efficiency of particles subsequent to collision: linear model and curve model. Among them, the linear model does not consider the van der Waals attraction between particles and the shear force of the flow field on the particles, and the model thinks that the particles will definitely aggregate once they collide, 54 therefore, the calculation is often greater than the actual value, and the accuracy is lacking.…”
Section: Resultsmentioning
confidence: 99%
“…Based on previous research, this study focuses on examining the microscopic evolution behavior of wax crystals and water droplets within waxy crude oil emulsions. Furthermore, through rheological experiments and microscopic observations, combined with population balance theory, 49 a mathematical model describing water droplets behavior under shear flow conditions was developed.…”
Section: Introductionmentioning
confidence: 99%
“…Each species is weighted according to the trophic level of its feed guild (usually assumed to be trophic level 1 for producer and detritus) and the proportion of its composition in the food. This concept of trophic level is also known as effective trophic level (ETL) (Leontief, 1965; Song, 2004), which can reflect the nutritional status of each FG in the ecosystem in more detail (Chen et al, 2008):normalETLnormalmodel=i=1Nfalse(BiTLifalse)i=1NBiwhere ETLmodel is the trophic level of each model, i is the number of FGs, N is the total number of FGs, and ETLi is the trophic level of FGs.…”
Section: Methodsmentioning
confidence: 99%
“…Each species is weighted according to the trophic level of its feed guild (usually assumed to be trophic level 1 for producer and detritus) and the proportion of its composition in the food. This concept of trophic level is also known as effective trophic level (ETL) (Leontief, 1965;Song, 2004), which can reflect the nutritional status of each FG in the ecosystem in more detail (Chen et al, 2008):…”
Section: Summary Statistics and Comparisons With Other Ecosystemmentioning
confidence: 99%
“…As important adults in the family and school environment, parents and teachers interact with each other to affect student development [54]. From the perspective of social support theory, social support is a selective behavior that people give material and spiritual help for free to disadvantaged groups in society [55]. Social supporters include people who can have a positive meaning for suffering individuals around them, such as family members, friends, relatives, teachers, etc.…”
Section: The Moderating Role Of Teacher Support and Parents' Supportmentioning
confidence: 99%