scholarly journals Towards Stochasticity through Joint Invariant Functions of Two Isomorphic Lie Algebras of SL(2R) Type

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 226
Author(s):  
Maricel Agop ◽  
Mitică Craus
Keyword(s):  
Complex System ◽  
Fractal Theory ◽  
Invariant Function ◽  
Hydrodynamic Type ◽  
Simultaneous Action ◽  
Systems Dynamics ◽  
Invariant Functions ◽  
Scale Relativity ◽  
The One ◽  
Joint Invariant

In the motion fractal theory, the scale relativity dynamics of any complex system are described through various Schrödinger or hydrodynamic type fractal “regimes”. In the one dimensional stationary case of Schrödinger type fractal “regimes”, synchronizations of complex system entities implies a joint invariant function with the simultaneous action of two isomorphic groups of the S L ( 2 R ) type as solutions of Stoka type equations. Among these joint invariant functions, Gaussians become in the Jeans’s sense, probability density (i.e., stochasticity) whenever the information on the complex system analyzed is fragmentary. In the two-dimensional case of hydrodynamic type fractal “regimes” at a non-differentiable scale, the soliton and soliton-kink of fractal type of the velocity field generate the minimal vortex of fractal type that becomes the source of all turbulences in the complex systems dynamics. Some correlations of our model to experimental data were also achieved.

scholarly journals The Good, the Bad and the Ugly? The Dynamic Interplay Between Educational Practice, Policy and Research

2014 ◽  
Vol 11 (2) ◽  
Author(s):  
Paul Van Geert ◽  
Henderien Steenbeek
Keyword(s):  
Complex System ◽  
Educational Practice ◽  
The Other ◽  
Self Organization ◽  
Other Hand ◽  
The Creation ◽  
Characteristic Features ◽  
The One ◽  
Dynamic Interplay ◽  
Interacting Components

The notion of complexity — as in “education is a complex system” — has two different meanings. On the one hand, there is the epistemic connotation, with “Complex” meaning “difficult to understand, hard to control”. On the other hand, complex has a technical meaning, referring to systems composed of many interacting components, the interactions of which lead to self organization and emergence. For agents, participating in a complex system such as education, it is important that they can reduce the epistemic complexity of the system, in order to allow them to understand the system, to accomplish their goals and to evaluate the results of their activities. We argue that understanding, accomplishing and evaluation requires the creation of simplex systems, which are praxis-based forms of representing complexity. Agents participating in the complex system may have different kinds of simplex systems governing their understanding and praxis. In this article, we focus on three communities of agents in education — educators, researchers and policymakers — and discuss characteristic features of their simplex systems. In particular, we focus on the simplex system of educational researchers, and we discuss interactions — including conflicts or incompatibilities — between their simplex systems and those of educators and policymakers. By making some of the underlying features of the educational researchers’ simplex systems more explicit – including the underlying notion of causality and the use of variability as a source of knowledge — we hope to contribute to clarifying some of the hidden conflicts between simplex systems of the communities participating in the complex system of education.

Effects of Nanoparticle Clustering on the Heat Transport in Nanofluids Through Fractal Theories

2008 ◽  
Vol 59 (2) ◽  
pp. 195-198
Author(s):  
Manuela Girtu ◽  
Agop Maricel ◽  
Constantin Bejinariu ◽  
Anca Harabagiu ◽  
Camelia Popa
Keyword(s):  
Heat Transfer ◽  
Coherent Structures ◽  
Thermal Gradient ◽  
Relativity Theory ◽  
Growth Speed ◽  
Topological Dimension ◽  
One Dimensional ◽  
Oscillation Modes ◽  
Scale Relativity ◽  
The One

Considering that the motion of microphysical object takes place on continuous but non-differentiable curves, i.e. on fractals, effects of nanoparticle clustering on the heat transfer in nanofluids using the scale relativity theory in the topological dimension are analyzed. In the one-dimensional differentiable case, the clustering morphogenesis process is achieved by cnoidal oscillation modes of the speed field and a relation between the radius and growth speed of the cluster is obtained. In the non-differentiable case, the fractal kink spontaneously breaks the vacuum symmetry by tunneling and generates coherent structures. Since all the properties of the speed field are transferred to the thermal one and the fractal potential (fractal soliton) acts as an energy accumulator, for a certain condition of an external load (e.g. for a certain value of thermal gradient) the fractal soliton breaks down (blows up) and releases energy. As result, the thermal conductibility in nanofluids unexpectedly increases.

Solution or Imitation?

2019 ◽  
pp. 147-173
Author(s):  
Johannes Lenhard
Keyword(s):  
Complex System ◽  
Computer Model ◽  
Numerical Solutions ◽  
The Other ◽  
Theoretical Understanding ◽  
John Von Neumann ◽  
Von Neumann ◽  
Norbert Wiener ◽  
The One ◽  
The Relationship

This chapter distinguishes two fundamental but opposing conceptions of simulation. The first conception conceives simulations as numerical solutions of equations. The second approach does not involve the concept of solution, but takes simulation as the imitation of the behavior of a complex system by a computer model. This chapter claims that simulation modeling combines both conceptions. Large parts of the sciences involve a compromise (in one way or another) between two diverging forces. Theoretical understanding and epistemic quality stand on the one side; applicability and tractability on the other. What is interesting about simulation is the way in which a balance is achieved—that is, how the conflicting types are combined. The chapter analyzes the relationship between the simulation pioneers John von Neumann, who advocated the solution, and Norbert Wiener, who advocated the imitation concept.

scholarly journals Nonlinear Behaviors in Gene Therapy Theoretical and experimental aspects

2018 ◽  
Vol 55 (3) ◽  
pp. 340-343
Author(s):  
Gabriela Cioca ◽  
Mariana Pinteala ◽  
Elena Simona Bacaita ◽  
Iuliana Oprea ◽  
Irina Crumpei Tanasa ◽  
...  
Keyword(s):  
Gene Therapy ◽  
Theoretical Model ◽  
Genetic Disorders ◽  
Fractal Theory ◽  
Genetic Material ◽  
Theoretical Models ◽  
Relativity Theory ◽  
Dna Release ◽  
Scale Relativity ◽  
Nonlinear Behaviors

Gene therapy represents a promising method for treating genetic disorders or diseases consisting in the transfer of genetic material (DNA) to cells in order to substitute or to slow down the evolution of the defective gene in cells. Theoretical models to predict DNA release are difficult to build in the classical approach of continuous and differentiable physical quantities, due to the high number of interdependent phenomena that occur simultaneous. The article presents a theoretical model based on the fractal theory of motions in the form of Scale Relativity Theory to describe nonlinear behaviors in gene therapy. Correlations of the theoretical model with experimental data are also observed.

scholarly journals LA MEDICINA NEL CAFFÈ

2021 ◽  
Author(s):  
Gianmarco Gaspari
Keyword(s):  
Complex System ◽  
Scientific Knowledge ◽  
Social Life ◽  
Well Being ◽  
Narrative Writing ◽  
New Knowledge ◽  
The One

The magazine of Milan Enlightenment had an open attitude to the new knowledge spreading through Europe and was committed towards the dissemination of the so-called «useful studies». This implied that themes related to medicine were widely present among its articles, which recognized the central role of medicine in social life and presented it as both the inescapable premise of the ‘well-being’ of individuals and the population at large, and the aim of any good administration. Il Caffè decisively stands for ‘new’ medicine, the one that best takes into account the progress of studies, and that values the constant updating of its practitioners; medicine to be considered as science rather than experience. Thanks to all these elements, together with its inclusion in the complex system of scientific knowledge (inherently subject to constant verification), the lively formula of erudite entertainment opens, in more than one case, to concrete results, as in Pietro Verri’s article Sull’innesto del vaiuolo (On smallpox grafting); here, the author resolutely places the Caffè in favor of the still suspect practice of inoculation. Furthermore, even though it is Pietro Verri again who offers a wide-ranging nomenclature framework (with the article La medicina), undoubtedly most of the contributors are involved in dealing with these issues with an almost revolutionary narrative writing; certainly the model is English educational journalism, but with an incisiveness that also pays attention to the emerging sensiblerie, especially the «diseases of imagination» and those from which «more or less every man suffers without exactly distinguishing the cause».

scholarly journals Interaction Between the Transport Network and the Territory of Algiers (Complex System): In Search of Indicators

2021 ◽  
Vol 11 (2) ◽  
pp. 77-92
Author(s):  
Nour El Houda Baba Slimane ◽  
Tahar Baouni
Keyword(s):  
Complex System ◽  
Urban Planning ◽  
Transport Network ◽  
The Other ◽  
Sustainable Mobility ◽  
Efficient Tool ◽  
Input And Output ◽  
Effectiveness And Efficiency ◽  
The One ◽  
Output Indicators

Abstract In recent years and within the framework of its project “Algiers the metropolis”, Algiers has classified its transport network among its first concerns in order to compete with the other Mediterranean metropolises. However, the complexity of its territory, which is of a particular geological and geomorphological nature, represents a constraint for the proper distribution and management of its transport network. The complexity of its territory and of its transport network, leads us towards the systemic approach for the search of an adequacy between these two complex urban realities in order to find an effective and efficient tool of management and urban planning. The development of a set of indicators of sustainable mobility, as a result of this work, allowed us to find through an epistemological study of the literature on the two complex concepts to select and develop a list of Input and Output Indicators that are related to both territory and transport. Indeed, this list of sustainable mobility indicators will allow, on the one hand, in urban planning, a better match of the transport network to the Algerian territory and, on the other hand, the study of the effectiveness and efficiency of the present and future transport network.

Semantic/pragmatic equivalence through formal and motivational shift

2004 ◽  
Vol 27 (2) ◽  
pp. 32-49
Author(s):  
Harumi Moore
Keyword(s):  
Complex System ◽  
Noun Phrase ◽  
Complex Task ◽  
Grammatical Category ◽  
The One ◽  
Pragmatic Equivalence ◽  
Regular Number

Abstract How would translators approach a process in which they have to make decisions on mapping the grammatically enforced regular number mechanism of a language such as English onto a system like Japanese, where there is no regular coding of number in a noun phrase? Utilising the concepts of motivation for representation of number, and of ‘formal-shift’ (Catford, 1965), this paper demonstrates that in spite of the lack of a grammatical category of number, there is a coherent mechanism that expresses number distinction in Japanese, either implicitly or explicitly, and that in order to achieve the full semantic and pragmatic intent expressed in English in terms of the number of referents, translators have quite a complex task in deciding ‘when’ and ‘how’ to mark number in Japanese. The paper shows that the ‘one’ and ‘more than one’ opposition regularly coded in English is interpreted into a more complex system of number conception in Japanese, namely ‘one’, ‘more than one’, ‘collective image’ and ‘unspecified’. It also draws attention to the various linguistic devices used in Japanese to express number distinction outside the scope of a noun phrase. The paper advocates the usefulness of the approach suggested here for examining instances of transfer of meaning between two typologically distinct languages.

De la science normale à la science marginale. Analyse d'une bifurcation de trajectoire scientifique: le cas de la Théorie de la Relativité d'Echelle

2007 ◽  
Vol 46 (4) ◽  
pp. 607-653 ◽  
Author(s):  
Vincent Bontems ◽  
Yves Gingras
Keyword(s):  
Sociology Of Science ◽  
Scientific Field ◽  
Central Position ◽  
Avant Garde ◽  
The Social ◽  
Theoretical Innovation ◽  
Scale Relativity ◽  
Scientific Capital ◽  
The One ◽  
Capital At Risk

In the scientific field, agents can choose to contribute to `normal' science, operate within the most highly legitimated avant-garde science (`superstrings', dark matter, etc.) or instead, develop theories within an entirely new theoretical framework, despite the risks which this entails. But the marginality of such theories raises a problem of strategy: those who choose to work on them do so at the expense of their own short-term interests, which would normally be oriented towards occupying a central position in already well-established fields. The theory of scale-relativity (TSR) demonstrates the interest of such a situation: the door is open to new possibilities, but ones that must be built `from scratch'. To pursue work in this direction is more demanding than to choose a project considered risky (due to its inherent difficulty) within the confines of an existing paradigm. On the one hand, TSR proposes to `innovate' and branch out from already widely-accepted conceptual bases, while, on the other hand, it finds itself in a marginal position with respect to the most legitimate avant-garde theories, such as `superstrings'. The case of the TSR thus allows us to study a region of the scientific field which has hardly been explored by a sociology of science that focuses primarily on `extreme' cases: histories of theories which have since been vindicated or spectacular controversies. In 2006, TSR occupies a marginal position within the field of physics. Its status differs widely from `theories' produced outside the field, yet does not correspond to any form of stable, accepted science. As we will show, using a detailed bibliometric analysis, the theory's diffusion throughout the scientific field has been limited — albeit real — and its results, when sanctioned by an official publication, are rarely taken into account by researchers who are not already TSR collaborators. This isolation within the field reveals conflict and tension between the transformation intended by a theoretical innovation and the norms of standard peer review. As a conclusion, we will compare the strategies of TSR's founder with those of other researchers who — at some point in their career — have attempted to reorient their scientific trajectory, which in turn reveals the social conditions of these bifurcations that put previously accumulated scientific capital at risk.

Origin and Early Evolution of Animals

2014 ◽  
Author(s):  
Kevin J. Peterson
Keyword(s):  
Complex System ◽  
Developmental Biology ◽  
Early Evolution ◽  
Cambrian Explosion ◽  
Static System ◽  
The Earth ◽  
Remarkable Event ◽  
History Of ◽  
To Come ◽  
The One

Coming at the end of one of the most intensive glaciation periods in Earth history (glaciers at sea level on the equator!), the explosive rise of animals 530 million years ago is one of the few major events in the history of life that combines the evolution of novel developmental regulatory circuitry with the emergence of unique environmental circumstances. This “Cambrian explosion” is truly a remarkable event in the history of life, as the Earth’s biota went from an essentially static system billions of years in existence to the one we enjoy today, a dynamic and awesomely complex system that forever changed the Earth’s biota, and ultimately the Earth itself. Part of the intrigue with the Cambrian explosion is that numerous phyla with very distinct body plans (whether arthropod, annelid, mollusk, echinoderm, or chordate) arrive on the scene in a geological blink of the eye, with little or no warning of what is to come in rocks that predate this interval of time. The abruptness of the transition between the “Precambrian” to the Cambrian was apparent early on with the publication of Murchison’s The Silurian System (1839), and is still apparent today. Indeed, the abruptness of the explosion has only gotten more pronounced since Murchison’s time as more and more of the Earth’s geological record has been explored, and accurate and precise dates have been placed on many of these outcrops. The books and papers in this article highlight the multifarious nature of the origin and early evolution of animals, ranging from morphology, to phylogeny, to paleontology, to developmental biology, and even to geochemistry and molecular biology.

scholarly journals Metrizability of Holonomy Invariant Projective Deformation of Sprays

2020 ◽  
pp. 1-14
Author(s):  
S. G. Elgendi ◽  
Zoltán Muzsnay
Keyword(s):  
Invariant Function ◽  
Principal Curvatures ◽  
Finsler Spaces ◽  
Invariant Functions ◽  
Geodesic Structure

Abstract In this paper, we consider projective deformation of the geodesic system of Finsler spaces by holonomy invariant functions. Starting with a Finsler spray $S$ and a holonomy invariant function  ${\mathcal{P}}$ , we investigate the metrizability property of the projective deformation $\widetilde{S}=S-2\unicode[STIX]{x1D706}{\mathcal{P}}{\mathcal{C}}$ . We prove that for any holonomy invariant nontrivial function ${\mathcal{P}}$ and for almost every value $\unicode[STIX]{x1D706}\in \mathbb{R}$ , such deformation is not Finsler metrizable. We identify the cases where such deformation can lead to a metrizable spray. In these cases, the holonomy invariant function ${\mathcal{P}}$ is necessarily one of the principal curvatures of the geodesic structure.

Sign in / Sign up

Export Citation Format

Share Document