A note on the Regularities of Hewitt-Stromberg h-measures

Attia, Najmeddine; Guedri, Rihab

doi:10.1007/s11565-022-00405-w

Cited by 4 publications

(1 citation statement)

References 21 publications

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“…and oxidation, which provides the energy needed to stimulate growth and the physiological and vital activity of the growth process [5]. The different concentrations of gibberellic acid significantly affected the height of seedlings, the number of leaves and branches, and the reason may be due to the fact that the process of seed germination requires an effective enzymatic system to carry out the building and demolition processes during the germination [13]. the high concentration of gibberellic acid plays a positive role in stimulating the embryo to germinate, and accelerates the growth of the vegetative and root system of conifers and slow-growing species, as gibberellic acid reduces the inhibitory role of abscisic acid and encourages the construction of hydrolysis enzymes and increases their effectiveness, and this is consistent with what it was found previously [14].…”

Section: Table (7) Effect Of Stratification and Immersion In Gibberel...mentioning

confidence: 99%

Effect of stratification and dipping with different concentrations of gibberellic acid in the vegetative and root growth characteristics of Pi-nus eldarica Medw.

Basheer

Ali

2021

JKAS

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This study was conducted on the seeds of Pinus eldarica during the period from February 2020 to September 2021 to find out the effect of cold stratification at (⁰4C) for (60 days) and different concentrations of gibberellic acid (0, 200,400 mg. L-1) in the traits of the vegetative and root growing seedlings. The results showed the superiority of the stratified seeds for the characteristics (seedling height, stem diameter, number of branches, number of leaves, root length, dry weight of the vegetative growth, dry weight of the root system). The results of dipping in gibberellic acid showed a superior concentration (400 mg.L-1) for traits (seedlings height, leaves number, length of the main root, dry weight of the shoot, dry weight of the root system). The concentration of 200 mg.L-1 for the two traits (stem diametet, branches number) was superior. The results of the binary interaction of stratification and gibberellic acid showed superiority of the stratified seeds with two concentrations (400 mg.L-1 and 200 mg.L-1) for traits (seedling height, eaves number, length of main root, dry weight of shoot, dry weight of root) and (Stems diameter Branches number) respectively.

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Section: Table (7) Effect Of Stratification and Immersion In Gibberel...mentioning

confidence: 99%

Effect of stratification and dipping with different concentrations of gibberellic acid in the vegetative and root growth characteristics of Pi-nus eldarica Medw.

Basheer

Ali

2021

JKAS

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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets

Attia

Selmi

2023

Mathematics

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In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having a strong separation condition. We give a sufficient condition for the equality of the Hewitt–Stromberg dimension, Hausdorff dimension, and packing dimensions. As an application, we obtain some relevant conclusions about the Hewitt–Stromberg measures and dimensions of the image measure of a τ-invariant ergodic Borel probability measures. Moreover, we give some statistical interpretation to dimensions and corresponding geometrical measures.

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On the vectorial multifractal analysis in a metric space

Attia

Mahjoub

2023

MATH

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<abstract><p>Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is widely used to characterize the geometry of the singularity of a measure $ \mu $ or to study the time series, which has become an important tool for the study of several natural phenomena. In this paper, we investigate a more general level set studied in multifractal analysis. We use functions defined on balls in a metric space and that are Banach valued which is more general than measures used in the classical multifractal analysis. This is done by investigating Peyrière's multifractal Hausdorff and packing measures to study a relative vectorial multifractal formalism. This leads to results on the simultaneous behavior of possibly many branching random walks or many local Hölder exponents. As an application, we study the relative multifractal binomial measure in symbolic space $ \partial {\mathcal A} $.</p></abstract>

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A note on the Regularities of Hewitt-Stromberg h-measures

Cited by 4 publications

References 21 publications

Effect of stratification and dipping with different concentrations of gibberellic acid in the vegetative and root growth characteristics of Pi-nus eldarica Medw.

Effect of stratification and dipping with different concentrations of gibberellic acid in the vegetative and root growth characteristics of Pi-nus eldarica Medw.

On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets

On the vectorial multifractal analysis in a metric space

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