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  • 1
    Online Resource
    Online Resource
    National Library of Serbia ; 2022
    In:  Thermal Science Vol. 26, No. 3 Part A ( 2022), p. 2177-2186
    In: Thermal Science, National Library of Serbia, Vol. 26, No. 3 Part A ( 2022), p. 2177-2186
    Abstract: The Nanocrystaline diamonds are very important biomedical material with variety of applications. The experimental procedures and results have been done in the Institute of Functional Nanosystems at the University Ulm, Germany. There is an existing biocompatibility of the diamond layers, selectively improved by biomimetic 3-D patterns structuring. Based on that, we have been inspired to apply the graph theory approach in analysing and defining the physical parameters within the structure of materials structure samples. Instead the parameters values, characteristic at the samples surface, we penetrate the graphs deeply in the bulk structure. These values could be only, with some probability, distributed through the micro-structure what defines not enough precious parameters values between the micro-structure constituents, grains and pores. So, we originally applied the graph theory to get defined the physical parameters at the grains and pores levels. This novelty, in our paper, we applied for thermophysical parameters, like thermoconductiviy. By graph approach we open new frontiers in controlling and defining the processes at micro-structure relations. In this way, we can easily predict and design the structure with proposed parameters.
    Type of Medium: Online Resource
    ISSN: 0354-9836 , 2334-7163
    Language: English
    Publisher: National Library of Serbia
    Publication Date: 2022
    detail.hit.zdb_id: 2241319-4
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  • 2
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2022
    In:  Modern Physics Letters B Vol. 36, No. 02 ( 2022-01-20)
    In: Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 36, No. 02 ( 2022-01-20)
    Abstract: The materials’ consolidation, especially ceramics, is very important in advanced research development and industrial technologies. Science of sintering with all incoming novelties is the base of all these processes. A very important question in all of this is how to get the more precise structure parameters within the morphology of different ceramic materials. In that sense, the advanced procedure in collecting precise data in submicro-processes is also in direction of advanced miniaturization. Our research, based on different electrophysical parameters, like relative capacitance, breakdown voltage, and [Formula: see text], has been used in neural networks and graph theory successful applications. We extended furthermore our neural network back propagation (BP) on sintering parameters’ data. Prognosed mapping we can succeed if we use the coefficients, implemented by the training procedure. In this paper, we continue to apply the novelty from the previous research, where the error is calculated as a difference between the designed and actual network output. So, the weight coefficients contribute in error generation. We used the experimental data of sintered materials’ density, measured and calculated in the bulk, and developed possibility to calculate the materials’ density inside of consolidated structures. The BP procedure here is like a tool to come down between the layers, with much more precise materials’ density, in the points on morphology, which are interesting for different microstructure developments and applications. We practically replaced the errors’ network by density values, from ceramic consolidation. Our neural networks’ application novelty is successfully applied within the experimental ceramic material density [Formula: see text] [kg/m 3 ], confirming the direction way to implement this procedure in other density cases. There are many different mathematical tools or tools from the field of artificial intelligence that can be used in such or similar applications. We choose to use artificial neural networks because of their simplicity and their self-improvement process, through BP error control. All of this contributes to the great improvement in the whole research and science of sintering technology, which is important for collecting more efficient and faster results.
    Type of Medium: Online Resource
    ISSN: 0217-9849 , 1793-6640
    RVK:
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2022
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  • 3
    In: Ferroelectrics, Informa UK Limited, Vol. 545, No. 1 ( 2019-06-11), p. 184-194
    Type of Medium: Online Resource
    ISSN: 0015-0193 , 1563-5112
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 2019
    detail.hit.zdb_id: 2042895-9
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  • 4
    Online Resource
    Online Resource
    Informa UK Limited ; 2021
    In:  Ferroelectrics Vol. 570, No. 1 ( 2021-01-02), p. 145-152
    In: Ferroelectrics, Informa UK Limited, Vol. 570, No. 1 ( 2021-01-02), p. 145-152
    Type of Medium: Online Resource
    ISSN: 0015-0193 , 1563-5112
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 2021
    detail.hit.zdb_id: 2042895-9
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  • 5
    In: Fractal and Fractional, MDPI AG, Vol. 6, No. 3 ( 2022-02-28), p. 134-
    Abstract: Many recently published research papers examine the representation of nanostructures and biomimetic materials, especially using mathematical methods. For this purpose, it is important that the mathematical method is simple and powerful. Theory of fractals, artificial neural networks and graph theory are most commonly used in such papers. These methods are useful tools for applying mathematics in nanostructures, especially given the diversity of the methods, as well as their compatibility and complementarity. The purpose of this paper is to provide an overview of existing results in the field of electrochemical and magnetic nanostructures parameter modeling by applying the three methods that are “easy to use”: theory of fractals, artificial neural networks and graph theory. We also give some new conclusions about applicability, advantages and disadvantages in various different circumstances.
    Type of Medium: Online Resource
    ISSN: 2504-3110
    Language: English
    Publisher: MDPI AG
    Publication Date: 2022
    detail.hit.zdb_id: 2905371-7
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  • 6
    Online Resource
    Online Resource
    National Library of Serbia ; 2022
    In:  Thermal Science Vol. 26, No. 1 Part A ( 2022), p. 299-307
    In: Thermal Science, National Library of Serbia, Vol. 26, No. 1 Part A ( 2022), p. 299-307
    Abstract: Artificial neural networks application in science and techonology begun during 20th century. This biophysical and biomimetic phenomena is based on extensive research which have led to understanding how neural as a living organism nerve system basic element processes signals by a simple algorithm. The input signals are massively parallel processed, and the output presents the superposition of all parallel processed signals. Artificial neural networks which are based on these principles are useful for solving various problems as pattern recognition, clustering, functional optimization. This research analyzed thermophysical parameters at samples based on Murata powders and consolidated by sintering process. Among different physical properties we applied out neural network approach on grain sizes distribution as a function of sintering temperature, T, (from 1190-1370?C). In this paper, we continue to apply neural networks to prognose structural and thermophysical parameters. For consolidation sintering process is very important to prognose and design many parameters but especially thermal like temperature, to avoid long and even wrong experiments which are wasting the time and materials and energy as well. By this artificial neural networks method we indeed provide the most efficient procedure in projecting the mentioned parameters and provide successful ceramics samples production. This is very helpful in prediction and designing the micro-structure parameters important for advance microelectronic further miniaturization development. This is a quite original novelty for real micro-structure projecting especially on the phenomena within the thin films coating around the grains what opens new prospective in advance fractal microelectronics.
    Type of Medium: Online Resource
    ISSN: 0354-9836 , 2334-7163
    Language: English
    Publisher: National Library of Serbia
    Publication Date: 2022
    detail.hit.zdb_id: 2241319-4
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  • 7
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2022
    In:  International Journal of Modern Physics B Vol. 36, No. 02 ( 2022-01-20)
    In: International Journal of Modern Physics B, World Scientific Pub Co Pte Ltd, Vol. 36, No. 02 ( 2022-01-20)
    Abstract: The world energy crisis necessitated the cause of the research interest into new, renewable and alternative energy sources. From this point of view, there is research on phenomena and different synthetic methods and on structure and electronic property optimization expressed by important material and device advancement. Efficiency and electricity generation (batteries, fuel cells, hydrogen energy) are nowadays actual questions. Because of that research, innovations and applications require extended knowledge by fractal nature characterization. The electrochemical energy sources solutions, especially electrolytes, are in fractal nature science focus. Based on the research novelties, especially electronic materials, we presented an investigation on fractal structure influence in electrochemistry. We explore the activation energy and fundamental thermodynamic functions and values, also the electrode surface changed by complex fractal correction through fractal dimension of grains and pores, and Brownian motion of involved particles, as well. At the end, the electrochemical Arrhenius and Butler–Volmer equation fractalization is applied. All of these open new perspectives for electrochemical energy processes, within electrolyte bulk and related electrodes and more precise energy generation. This is important for semiconductor processing in solar cells and devices. So, we included the knowledge of fractal sciences advancement in this field for current–voltage equation.
    Type of Medium: Online Resource
    ISSN: 0217-9792 , 1793-6578
    RVK:
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2022
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  • 8
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2022
    In:  International Journal of Modern Physics B Vol. 36, No. 04 ( 2022-02-10)
    In: International Journal of Modern Physics B, World Scientific Pub Co Pte Ltd, Vol. 36, No. 04 ( 2022-02-10)
    Abstract: The particles in condensed matter physics are almost characterized by Brownian motion. This phenomenon is the basis for a very important understanding of the particles motion in condensed matter. For our previous research, there is already applied and confirmed the complex fractal correction which includes influence of parameters from grains and pores surface and also effects based on particles’ Brownian motion. As a chaotic structure of these motions, we have very complex research results regarding the particles’ trajectories in three-dimension (3D). In our research paper, we applied fractal interpolation within the idea to reconstruct the above mentioned trajectories in two dimensions at this stage. Because of the very complex fractional mathematics on Brownian motion, we found and developed much simpler and effective mathematization. The starting point is within linear interpolation. In our previous research, we presented very original line fractalization based on tensor product. But, in this paper, we applied and successfully confirmed that by fractal interpolation (Akimo polynomial method) that is possible to reconstruct the chaotical trajectories lines structures by several fractalized intervals and involved intervals. This novelty is very important because of the much more effective procedure that we can reconstruct and in that way control the particles’ trajectories. This is very important for further advanced research in microelectronics, especially inter-granular micro capacitors.
    Type of Medium: Online Resource
    ISSN: 0217-9792 , 1793-6578
    RVK:
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2022
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  • 9
    Online Resource
    Online Resource
    World Scientific Pub Co Pte Ltd ; 2020
    In:  Modern Physics Letters B Vol. 34, No. 34 ( 2020-12-10), p. 2150159-
    In: Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 34, No. 34 ( 2020-12-10), p. 2150159-
    Abstract: This research is focused on further developing of application and use of graph theory in order to describe relations between grains and to establish control over layers. We used functionalized BaTiO 3 nanoparticles coated with Yttrium-based salt. The capacitance change results on super-microstructure levels are the part of the measured values on the bulk samples. The new idea is graph theory application for determination of electronic parameters distribution at the grain boundary and to compare them with the bulk measured values. We present them with vertices in graph, corresponding with grains, connected with edges. Capacitance change with applied voltage was measured on samples sintered in air and nitrogen, up to 100 V. Using graph theory, it has been shown that capacitance change can be successfully calculated on the layers between grains. Within the idea how to get parameters values at microlevel between the grains and pores, mathematical tool can be developed. Besides previously described 1D case, some original calculations for 2D cases were performed in this study, proving successful graph theory use for the calculation of values at nanolevel, leading to a further minituarization in micropackaging.
    Type of Medium: Online Resource
    ISSN: 0217-9849 , 1793-6640
    RVK:
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2020
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  • 10
    In: Modern Physics Letters B, World Scientific Pub Co Pte Ltd, Vol. 34, No. 35 ( 2020-12-20), p. 2150172-
    Abstract: This research is based on the idea to design the interface structure around the grains and thin layers between two grains, as a possible solution for deep microelectronic parameters integrations. The experiments have been based on nano-BaTiO 3 powders with Y-based additive. The advanced idea is to create the new observed directions to network microelectronic characteristics in thin films coated around and between the grains on the way to get and compare with global results on the samples. Biomimetic similarities are artificial neural networks which could be original method and tools that we use to map input–output data and could be applied on ceramics microelectronic parameters. This mapping is developed in the manner like signals that are processed in real biological neural networks. These signals are processed by using artificial neurons, which have a simple function to process input signal, as well as adjustable parameter which represents sensitivity to inputs. The integrated network output presents practically the large number of inner neurons outputs sum. This original idea is to connect analysis results and neural networks. It is of the great importance to connect microcapacitances by neural network with the goal to compare the experimental results in the bulk samples measurements and microelectronics parameters. The result of these researches is the study of functional relation definition between consolidation parameters, voltage (U), consolidation sintering temperature and relative capacitance change, from the bulk sample surface down to the coating thin films around the grains.
    Type of Medium: Online Resource
    ISSN: 0217-9849 , 1793-6640
    RVK:
    Language: English
    Publisher: World Scientific Pub Co Pte Ltd
    Publication Date: 2020
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