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1

Euler solution selecting method based on the damping factor

Qiang Liu, Changli Yao, Yao Luo, Junjun Yang, Zelin Li

Acta Geophysica

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2022

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Vol. 70, no 4

1551--1564

EN

We present a method, named the variable damping factor selecting method, to select reliable Euler solutions. Our method considers the influence of small perturbations on the movement of Euler solutions as a selection criterion. Small perturbations have little influence on the least-squares solution generated from a stable matrix with large eigenvalues and in the projection area of the source position in the observational data. It is found that the matrix is stable and the solutions are reliable. By using the damped least square method to calculate the Euler solutions, our method can automatically estimate whether a solution can be saved. The saved solution, which is considered to be reliable, is not sensitive to any changes of the damping factor and is usually generated within a sliding window located in the projection area. In our work, the damping factor is chosen from the eigenvalue of the sliding window. Tests on synthetic and real data showed that our method is simple and easy to conduct, and can successfully outline causative bodies and singular point sources.

2

Interpretation of magnetic anomalies using a genetic algorithm

Kaftan İ.

Acta Geophysica

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2017

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Vol. 65, no. 4

627--634

EN

A genetic algorithm (GA) is an artificial intelligence method used for optimization. We applied a GA to the inversion of magnetic anomalies over a thick dike. Inversion of nonlinear geophysical problems using a GA has advantages because it does not require model gradients or welldefined initial model parameters. The evolution process consists of selection, crossover, and mutation genetic operators that look for the best fit to the observed data and a solution consisting of plausible compact sources. The efficiency of a GA on both synthetic and real magnetic anomalies of dikes by estimating model parameters, such as depth to the top of the dike (H), the half-width of the dike (B), the distance from the origin to the reference point (D), the dip of the thick dike (δ), and the susceptibility contrast (k), has been shown. For the synthetic anomaly case, it has been considered for both noise-free and noisy magnetic data. In the real case, the vertical magnetic anomaly from the Pima copper mine in Arizona, USA, and the vertical magnetic anomaly in the Bayburt–Sarıhan skarn zone in northeastern Turkey have been inverted and interpreted. We compared the estimated parameters with the results of conventional inversion methods used in previous studies. We can conclude that the GA method used in this study is a useful tool for evaluating magnetic anomalies for dike models.

3

Thermodynamic Characteristics of Solid

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 2

60-71

EN

The paper is to present the developed thermodynamic characteristics of a solid. The existent description of dependence of temperature on the proper entropy (thermal capacitance) was used as the beginning point of the considerations. A critical evaluation of the picture of that dependence was a consecutive link of the considerations. Furthermore, an adequate description of the discussed heat phenomenon, taking into account the detailed characteristics of the entropy growth characteristics, has been presented. This characteristics indicates a clear quantum character of the studied reality, reflected by the potentials, proper and gained, respectively. These magnitudes are the measures of the proper and gained specific energies of this thermodynamic factor. The dependence of temperature on the specific energy has been described to formulate a formula on the heat work. At the end the dependence between the specific heat and the entropy constant is derived. In conclusion, a quantum nature of macroscopic reality has been noticed together with the definition of the heat energy notion. The necessity of noticing the description of any other reality in this scale has been indicated.

4

Quantum Nature of Vehicle Motion

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 8, iss. 1

37--48

EN

The paper presents a new adequate look on the character of motion of any material body, such as moving vehicle. It has been proved, that motion of material bodies has a quantum character. Due to this their consecutive energetic states are obtained by a jump. The phenomenon of quantum in the reference to vehicle kinetics has been derived by indicating its place on the background of characteristics of whole mechanics. The length of vehicle way in particular phases of its motion is that source characteristics the derivatives of which form the development of motion description of a material solid/body. It has been indicated that the quantum nature of body motion does not depend on its magnitude. Thus, as has been noticed, there is an analogy between the macro-body motion and electron motion which change its energy also by jump, by getting from one orbit (energetic level) to another.

5

On the Quantum Theory of Impact Phenomenon for the Conditions of Elastic Deformation of Impacted Body

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 7, iss. 1

45--59

EN

The work contains some of the elements of adequate quantum theory of impact phenomenon. These elements form the prelude to verification of the existent non-adequate theory of the impact phenomenon. At first a correct definition of impact has been formulated. For comparison, the interpretation of the elastic impact according to the existent knowledge is given. Then, taking advantage of the new correctly formulated the principle of mechanical energy conservation, the energetic states of impacting body have been described. Basing on this, the formula on dynamic deflection has been derived. This formula is adequate in character and fully corresponds with investigated reality.

6

On the Groundless Use of Mathematics Concerning the d’Alembert’s Rule

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 7, iss. 2

85--101

EN

The paper discusses the groundless use of mathematics. This question has been explained mainly based on example of the so called d`Alembert’s rule which unfortunately still functions in science none the less it has been based on a fiction, contrary to the truth cognition as the fundamental purpose of science. That pejorative feature of the mentioned paradigm is marked very clearly in the paper to evaluate it negatively as the only one possible note. Next the adequate characteristics of variable body motion has been presented and the description of Atwood device given in view of explaining the essence of a real equilibrium of the system of material bodies where their real inertia is of importance. In conclusion the characteristics of real inertia force being the measure of this inertia is presented. The erroneous up-to-date view concerning the measure of body inertia, assuming mass as the measure of this magnitude enabling free manipulation of the acceleration value, has been revealed. At the end it is stressed that acceleration is always positive in its nature and is existent in each condition of the material reality.

7

Novel Theory of Mathematical Pendulum. Part 2

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 9, iss. 2

186-201

EN

The paper is concerned on a new adequate theory of a simple mathematical pendulum. Part 1 of the paper was devoted to the behaviour of pendulum in particular points, that is central and terminal/extremum ones. This Part 2 of the theory begins with the analysis of path length of the pendulum weight. Then the kinetics of the pendulum weight is analyzed by separating and the descriptions of differentiated motion of this body in the consecutive neighbouring space-times corresponding with particular quarter-periods. It is about accelerated free variable motion and the following after it a retarded motion of this kind, and then again accelerated, etc. In the summary, further elaborations in the subject are forecasted, regarding both dynamics and energy of the flat mathematical pendulum. It is indicated that the necessity to “rethink” many existent theories is of importance.

8

Novel Theory of Mathematical Pendulum. Part 1

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 9, iss. 2

136-145

EN

In the paper, a new adequate theory of a simple mathematical pendulum is presented. This paper consists of two parts. In Part 1, the behaviour of pendulum in particular points, that is in central and terminal/extremum ones have been analyzed very carefully in detail. System of forces in these points was considered with a special attention turned towards the terminal points where the equilibrium of forces occurs and in the next moment the lack of that equilibrium takes place with the proof of the open polygon of forces as the condition of beginning of accelerated free variable motion. Part 2 of the paper is to be devoted to the kinetics of the pendulum weight presented by separating in it the descriptions of differentiated motion of this body in the consecutive neighbouring space-times corresponding with particular quarter-periods. In the conclusion, further elaborations in the subject are forecasted, regarding both dynamics and energy of the flat mathematical pendulum.

9

Novel Modeling of the Phenomenon of Air-Cooled Solid

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 1

1-16

EN

The paper turns the attention to the thermal problems of the solid cooling in air. The physical aspect of mathematic approach has been underlined. The analysis and critical evaluation of Newton's Law concerning the solid air-cooling have been performed. The cognitive path leading to the solution is presented with the result being the body temperature dependence on time of cooling down in the air. Then the course of solution concerning the result of the adequate dependence of temperature of the cooled body on time has been presented. In the study, the stress is put on constant magnitudes chich characterize the susceptibility of solid to the cooling in the air. In the end, the synthetic formulation of all functional characteristics of the thermal phenomenon discussed in the paper, have been presented.

10

Modeling of planar plasma diode

Wijewardena Gamalath K. A. I. L., Samarakoon A. M.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 8, iss. 3

220-242

EN

To investigate the dynamics of a planar plasma diode system (PDS), a model based on the current density equilibrium at the interface was developed. The current densities and plasma boundary variations with the potential fields were obtained by simulating a single square pulse. The variation of an observed overshoot current density with the applied voltage is presented. Planar plasma diode system was also simulated for periodic, sine, square, triangular and saw tooth voltage patterns by varying the amplitude and frequencies. A method to find the lower bound of the electron density of plasma for a specified PDS is presented. Particle-In-Cell simulation technique was used to investigate the plasma particles and electric field distributions over the anode cathode gap for different intensities of external electric fields. The system became stable after few time steps and this time depends upon the intensity and polarization of the external field.

11

Kinetics of Flexibly Fixed Operating Element of a Rotating Device

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 3

67-84

EN

The work covers the adequate kinetics of the flexibly fixed working element of a rotating device. First the literature background of the problem has been presented, turning the attention on such systems where the phenomenon of centrifugal displacement of a body due to the rotating of the system occurs. Then the general characteristics of the complex motion of working element has been described. The core of the work is the description of the variable component motions, with the starting point of the description being the source differential equation, presenting this type of dependence of the path length on time. The accelerated angular motion and retarded radial motion have been separated, describing these component motions as the function of time. Based on these detailed descriptions, the trajectory equation of working element, the derivatives and further kinetic magnitudes, have been derived. In the conclusion, the cognitive and practical qualities of the presented solutions of the title problem, have been accented.

12

Kinetics, Dynamics and Energy of Solid on the Example of a Tool Fixed Flexibly: Part 1 – Kinetics

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 10, iss. 1

35-47

EN

This work investigates kinetics, dynamics and energy of solid on the example of a tool fixed flexibly under the process of cutting. The original approach to the tool kinetics was considered by the Authors earlier. This work consists with three parts referred to the kinetics, dynamics, and energy of solid. Present work is concerned on the development of kinetics problems of a solid represented by a tool fixed flexibly and is a continuation of the problem. Part 1 covers the definition and characteristics of the machining space-time and is referred generally to the kinetics. Then the kinetic and dynamic magnitudes characterizing tool in the space-time are described. The set of these magnitudes has been extended by introducing the properly understood impulse and time-effect. Part 2 of the work is to consider the dynamics of tool in the machining space-time. In Part 3, types of works in the machining space-time and energy of the tool fixed flexibly will be considered; the focus is to be put on an essential difference between work and energy.

13

Kinetics, Dynamics and Energy of Solid on the Example of a Tool Fixed Flexibly: Part 2 - Dynamics

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 10, iss. 1

110-118

EN

This work is a continuation of the problems of kinetics, dynamics, and energy of solid on the example of a tool fixed flexibly under cutting. The work consists with three parts. Part 1 covered the kinetics of the system. Present work is devoted to the dynamics of a tool in the machining space-time. Dynamic characteristics of the whole machining system are considered by determining forces being the measures of particular reasons for material cutting. The reasons are the following forces: gravity, inertia, and repel. In the last Part 3 of the work, a special attention is to be paid to the work description and the energy notion.

14

Kinetics, Dynamics and Energy of Solid on the Example of a Tool Fixed Flexibly: Part 3 – Energy

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 10, iss. 2

126-136

EN

This work is a continuation of the problems of kinetics and dynamics of solid on the example of a tool fixed flexibly under cutting. Present work is concerned on the development of work and energy. A special attention has been paid to the work description by underlying a distinctness and lack of connection with the energy notion. Polarization of these two magnitudes has been revealed. An adequate and extended definition of energy in general, with mechanical energy in particular, is formulated. There are three kinds of mechanical energy considered, located on the stable static potential field being one of the limits of the machining space-time. They are the following energies: repel, inertial, and gravitational. Proper measures/potentials have been assigned to these energies, treating the energy as a mental notion, having no physical meaning in contrast to the potential as the physical magnitude.

15

Heat Absorption by a Thermal System

Pluta Z., Hrynkiewicz Z.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 1

17-32

EN

The work deals with revealing the quantum nature of the heat absorption phenomenon by a thermal system, describing the phenomenon with a proper energetic interpretation. At first, the existent description of the heat absorption phenomenon by a system has been described. Then the mechanicalthermal analogy was introduced, using it for a better explanation of the determined thermal notions. A set of characteristics of the heat absorption phenomenon was developed by taking advantage of this analogy. The starting point from the source thermal characteristics, being differential dependence of thermal force on temperature, has been regarded. That made it possible to achieve a detail solution, being the reason model of the described natural system, which is the model having a physical sense.

16

Adequate Theory of Vertical Motion of a Mass-Elastic System

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2013

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Vol. 6

116-136

EN

The paper covers an adequate theory on vertical motion of the mass-elastic system. This system is an oscillator with the motion being a free harmonic motion. The first extended link of the consideration presents a critical analysis of the existent knowledge referred to this subject. Then the energetic states of the oscillator have been determined. Next the force characteristics of the free harmonic motion of the oscillator are presented. A general source equation of the path/way length and the resulting detailed forms, signalizing extensive possibilities to build up the characteristics, have been presented. Finally the connections between the characteristics of real and simulative motions were derived. It should be added that this first mentioned motion is the subject of adequate description presented here. The simulated motion is referred to the existent classical theory which has been subjected under a critical consideration.

17

Camera navigation support in a virtual environment

Wojciechowski A.

Bulletin of the Polish Academy of Sciences. Technical Sciences

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2013

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Vol. 61, nr 4

871--884

EN

Artificial camera navigation is the most ubiquitous and principal interaction task within a virtual environment. Efficient and intuitive virtual scene navigation affects other tasks completion performance. Though many scientists have elaborated invaluable navigation techniques design guidelines, it is still, especially for novice users, the really challenging and demanding process. The user interface input hardware imprecision, interface operation cognitive burden put on users and deficiency of direct mapping between user physical movement and virtual camera navigation evoke discrepancy between user desired and actual camera position and orientation. The provided paper concentrates on the new potential field based camera navigation support method. Originally designed and exploited potential fields support not only collisions solving, but goal profiled attraction and camera manoeuvring as well. It works both in static and dynamic environments. It can be easily boosted by the GPU approach and eventually can be easily adapted for advanced or novice interface users for a miscellaneous navigation task completion.

18

Quantum theory of gravitation

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2012

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Vol. 5

35-45

EN

In the paper, the outline of a new quantum theory of gravitation is presented. The energetic states of a material body, stable and unstable, are described. Characteristics of a body motion in a gravitation-inertia space-time has been given. It has been proved that all the time both gravitation and inertia are co-existent, independent on the position of a moving object. This is the reason of that twolink name of the space-time. A thorough in-depth analysis of the problem made it possible to state that so called the law of common gravity is a hyperbolic approximation of a proper course of inertia force. Therefore the mentioned courses have only two common points. One of them, the initial point belongs also to the course line of the gravity force, constant on the whole length of space-time. This theory is adequate in character and thus generally does not corresponds with the existent classical theory of gravitation.

19

Analytical dependence of substance solubility measure on temperature

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2012

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Vol. 5

20-34

EN

The work covers an adequate analytical dependence of solubility measure of the chemical substances on the water/aqueous solution temperature. The solubility was defined and new, more readable solubility measure was introduced; the coefficient of solubility has been proposed instead. Then the source differential equation was introduced as the basis for the derivation of a final analytical form of dependence of the solubility coefficient on temperature. That characteristics has been developed by determining the dependence of the solubility coefficient variability intensity on temperature. An example of the use of presented theory has been delivered by referring it to the phenomenon of dissolution of AgNO3 silver nitrate in the aqueous environment. In the summary, quite a developed use of the source differential equation has been underlined with some more examples revealed.

20

Adequate theory of oscillator: a prelude to verification of classical mechanics. Part 3

Pluta Z., Hryniewicz T.

International Letters of Chemistry, Physics and Astronomy

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2012

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Vol. 3

11-23

EN

In the paper, the adequate theory of oscillator is presented, being a sort of prelude to verification of the classical theory of mechanics. The developed theory is based on a properly understood notion of energy, quantum value changes of its determined measures (potentials), as well as of such chan ges types of sites of full energetic states which presents the essence of the true principle of the energy conservation. In the first part of the paper the principle of energy conservation was considered. Then the energetic aspects of the oscillator motion, with an exemplary real system motion, were presented in the second Part. This part of the paper is devoted to the kinetics of a body in harmonic motion and verification of the adequate theory of oscillator. At the end, the determination of the gravity acceleration by means of mathematical pendulum is performed to confirm the presented findings.