<abstract xmlns="http://www.w3.org/1999/xhtml">

A new formulation of the informational entropy on multifractal manifolds is proposed. In such a context, some connections with known results from the dynamics of complex systems are presented: correlations of SL(2ℝ) groups with Hamiltonian formalism, simultaneous invariances between two groups (coordinate group and parametric group), linear harmonic oscillator/oscillator ensemble dynamics from the perspective of SL(2ℝ) groups, uncertainty relations on multifractal manifolds etc. Moreover, the existence of a multifractal perspective in the complex dynamics analysis allows direct correspondences with deep learning algorithms.
</abstract>

“Alexandru Ioan Cuza” University of Iași

“Gheorghe Asachi” Technical University of Iași

Department of Concrete Structures, Building Materials, Technology and Management

Some Implications of the Multifractal Informational Entropy

<abstract xmlns="http://www.w3.org/1999/xhtml">

By modeling the particle as a two-dimensional oscillator with the natural angular frequency equal to the Zitterbewegung frequency, the expression of the gravitational force between two particles is obtained. Gravitational force is the effect of the absorption-scattering of the CZPF background by the oscillators. The connection between the gravitational and the electrostatic interaction is obtained.
</abstract>

Retired lecturer, Petroleum-Gas University of Ploieşti

Gravitational Interaction Mediated by Classical Zero Point Field

<abstract xmlns="http://www.w3.org/1999/xhtml">

Assuming that the dynamics of complex systems can be described on continuous and non-differentiable curves, a multifractal mathematical procedure was proposed to analyze the dynamics of complex systems. Thus, using the Schrodinger monofractal model and the hydrodynamic multifractal model, in the case of the dynamics of systems described by Peano-type fractal curves, fractal theories of movement can be developed.
</abstract>

Types of Operational Mathematical Procedures in Dynamics Descriptions. A Short Note

<abstract xmlns="http://www.w3.org/1999/xhtml">

In the Scale Relativity Theory, wave-corpuscle duality is analyzed both in the Schrödinger and in the Madelung multifractal scenarios. Therefore, in the Schrödinger scenario, this duality implies the functionality of a multifractal sinus – Gordon differential equation based on 2×2 matrices of real variable elements, while in the Madelung scenario, the same duality implies the solving of the multifractal hydrodynamic equation system.
</abstract>

Two Scenarios in the Description of the Wave-Corpuscle Duality in a Multifractal Theory of Motion

<abstract xmlns="http://www.w3.org/1999/xhtml">

The purpose of this paper is to present the role of meteorology in certain important historical moments both from the last century and from the present one.
To investigate these cases from a meteorological point of view, we used reanalysis data, from some climatological databases, for the events of the last Century and for the events of the 21st Century, we relied on various information that allowed us investigation of the atmosphere, at all levels (synoptic maps at different levels, satellite imaging, backward trajectories, radioactivity data, etc.). Although during the First World War, the investigation of meteorological parameters was limited only to the ground level, in critical moments, the weather forecast decided the fate of some missions carried out on the front during that period. Over time, technology has advanced and the investigation of the atmosphere is carried out on a multitude of levels, using modern investigation technology, with active or passive sensors, located on the ground or on equipment from space.
Forecasts have greater accuracy, and information is easily transmitted to the population and institutions of national interest too. In case of natural or anthropogenic disasters, accurate weather forecasts allow quick decisions to be made for the safety of the population.
More recently, there are stations (national and international) that also monitor aerosol stratification.
The meteorological stations have been modernized and automated, the synoptic maps from the ground and from the altitude are at “one click” away from us. Meteorology has become a field of interest for industry, transport, military and, last but not least, for the safety and security of the general population. In this paper we will show the progress in this field of activity and the implications in people’s everyday life.
</abstract>

“Alexandru Ioan Cuza” University of Iaşi, Faculty of Geography and Geology

Gheorghe Asachi Technical University of Iaşi

The Description of Important Historical Moments in Terms of Meteorological Aspects

AHEAD OF PRINT

Volume 70 (2024): Issue 1 (January 2024)

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Volume 68 (2022): Issue 4 (December 2022)

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

Volume 68 (2022): Issue 2 (June 2022)

Volume 68 (2022): Issue 1 (March 2022)

Volume 67 (2021): Issue 4 (December 2021)

Volume 67 (2021): Issue 3 (September 2021)

Volume 67 (2021): Issue 2 (June 2021)

Volume 67 (2021): Issue 1 (March 2021)

BULLETIN OF THE POLYTECHNIC INSTITUTE FROM IAȘI, Section Mathematics, Theoretical Mechanics, Physics – BIPMF (ISSN-L 1224-7863) is an international journal, with quarterly appearance, for the free publication of research results in theoretical and mathematical physics, mechanics, technical and applied physics, material sciences.  The journal has a broad scope and welcomes contributions spanning experiment, theory, computation and data science. Topical coverage includes physics, mechanics and mathematics, and given their importance in material sciences, interdisciplinary research areas such as polymers and soft matter, materials, nanoscience, surfaces/interfaces are welcomed if they demonstrate insight into physics, seeking to understand mathematical basis of physical phenomena, and solve problems in physics via mathematical approaches. Joined experimental/theoretical studies are particularly appreciated when complementary and based on up-to-date approaches.  BIMMF aims to enhance the interdisciplinary research by connecting the fundamental sciences as physics and mathematics with applicative research concerning the relationships between structure, processing, properties, and performance of materials. It also promotes international exchange of scientific activities.  The journal publishes original research, focused review articles that examine the state of the art, book reviews, technical notes, case studies, and preliminary communications, with no restriction on the length of the papers.  Archiving  Sciendo archives the contents of this journal in Portico - digital long-term preservation service of scholarly books, journals and collections.  Plagiarism Policy  The editorial board is participating in a growing community of Similarity Check System's users in order to ensure that the content published is original and trustworthy. Similarity Check is a medium that allows for comprehensive manuscripts screening, aimed to eliminate plagiarism and provide a high standard and quality peer-review process. sistemantiplagiat.ro/ 

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

Some Implications of the Multifractal Informational Entropy

Gravitational Interaction Mediated by Classical Zero Point Field

Types of Operational Mathematical Procedures in Dynamics Descriptions. A Short Note

Two Scenarios in the Description of the Wave-Corpuscle Duality in a Multifractal Theory of Motion

The Description of Important Historical Moments in Terms of Meteorological Aspects

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