Sanja Bauk

On the analytical solution of some families of transcendental equations

The problem of finding the exact analytical closed-form solution of some families of transcendental equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed-form solution is presented, and the structure of the theoretical derivation, proofs and numerical results confirm the validity and base principle of the STFT. Undoubtedly, the proposed analytical approach implies the qualitative improvement of the conventional analytical and numerical methods.

On the Exact Analytical Solutions of Certain Lambert Transcendental Equations

The subject matter of this paper is the Special Trans Functions Theory (STFT) in finding the exact analytical closed form solutions (the new special tran functions) of certain Lambert transcendental equations. Note that these Lambert transcendental equations frequently appear in applied physics and engineering domain. The structure of the theoretical derivations, proofs, and numerical results confirms validity and basic principles of the STFT. Undoubtedly, the proposed exact analytical approach implies the qualitative improvements of the conventional methods and techniques.

An inverse problem of temperature estimation for the combination of the linear and nonlinear resistances

The subject of the theoretical analysis presented in this paper is an analytical approach to the temperature estimation, as an inverse problem, for different thermistors – linear resistances structures: series and parallel ones, by the STFT - Special Trans Functions Theory (S.M. Perovich). The mathematical formulae genesis of both cases is given. Some numerical and graphical simulations in MATHEMATICA program have been realized. The estimated temperature intervals for strongly determined values of the equivalent resistances of the nonlinear structures are given, as well.

Concerning an Analytical Solution of Some Families of Nonlinear Functional Equations

The problem of finding the exact analytical closed‐form solution of some families of non‐linear functional equations is studied, in some detail, by the Special Trans Function Theory (STFT). The mathematical genesis of the analytical closed‐form solutions and the structure of theoretical derivation, are presented. Undoubtedly, the proposed analytical theory implies the qualitative improvement of the conventional approaches.

The STFT in an Exponential Function Approximation

The paper proposed an original method for an exponential function linear approximation, based upon recently developed Special Trans Function Theory—STFT, Perovich S.M. (1992–2007). It moves the exponential function analysis from the classical MacLaurins series and the field of numerical methods to the field of the STFT. The appropriate simulations have been realized in Matlab and some numerical and graphical results are given.

An RFID model for improving workers’ safety at the seaport in transitional environment

AbstractThe paper proposes a Radio Frequency IDentification (RFID) model for enhancing port workers’ safety with reference to the Port of Bar (Montenegro) as a developing seaport operating in a transitional environment. The paper also highlights the lack of appropriate Information and Communication Technology (ICT) solutions in some developing seaports, including safety-related ones. It emphasizes the importance of safety measures through the prism of reducing the number of accidents, and gives a review of some RFID safety solutions in the harsh environments. The main part of the paper deals with the RFID worker’s safety model proposed according to the Port of Bar’s individual needs. The model has been presented at a logic level, while some of the physical and link layers performances between the set of an active and several passive RFID devices embedded to the port workers’ Personal Protective Equipment (PPE) and the Ultra High Frequency (UHF) RFID readers located at the port perimeter, are simulated in ...

The special trans function theory to the AM detector transfer factor analytical analysis

The special trans function theory (STFT) for finding the exact analytical closed-form solution to the AM detector transfer factor is studied in some detail. The AM detector transfer factor, as function of the different parameters, is analytically analyzed. Obtained numerical and graphical results confirm validity and base principle of the STFT.

MANET vs. ZigBee: Some simulation experiments at the seaport environment

The paper presents the results of some OPNET simulation experiments realized with an aim to benchmark MANET and ZigBee networks’ performances at the seaport environment. The MANET is formed among workers’ and supervisors’ personal digital assistants (PDAs). On the other side, the ZigBee is established between end-nodes or employees’ body central units (BCUs), which collect signals from several active and passive devices embedded into ID badges and personal protective equipment (PPE) pieces; several moving and fixed routers; and the coordinator mounted at the appropriate seaport location. The simulation experiments are realized over the layout of the Port of Bar (Montenegro) container and general cargo terminal by taking into account the real number of workers and supervisors engaged at the terminal per each shift. This research work should give an insight to the seaport’s managers and stakeholders into some advantages and disadvantages of these two considered wireless networks’ schemes, and to motivate them to provide conditions for implementing these or similar on seaport and backend info-communication solutions for uprising the level of occupational safety and overall seaport’s environmental management system.

Computing the Modified Hopfield Network Parameters by STFT

Hopfield has shown that models of physical systems could be used to solve some difficult computational problems. Such systems could be implemented in hardware by combining standard components such as capacitors and resistors. Our idea is to replace capacitor with an inverse polarized diode with large capacity in aim to shift, in a way, Hopfield network parameters analysis from the field of the linear differential equations to the field of the exponential transcendental equations, solvable analytically by the linear approximation method based upon STFT (special trans function theory)

Employing Wireless Networks in Enhancing Occupational Safety at the Developing Seaport – Two Proposals

Abstract The paper proposes two Wireless Body Area Network Sensors (WBANSs) scenarios at the logical and simulation levels for improving occupational safety and health conditions at the developing seaport environment. The Port of Bar (Montenegro) is taken as an exemplar. The logical model is based on the actual position of the Port of Bar at the seaport market, its needs and capacities for the information systems innovation through technology transfer and diffusion. The simulation model analyses the channel between the body central unit (BCU) of the worker’s on port wireless body sub-network and the port access point. The quality of the signal transmission at the physical layer has been tested through a source code generated in the Matlab. The code includes the BCU composite signal modulation, transmission, and demodulation, along with a noise and fading effects analysis. The results of the simulation experiments for the different transmission frequencies and distances between transmitter (worker’s BCU) and receiver (port’s access point) by using binary phase-shift keying (BPSK) and quadratic phase-shift keying (QPSK) modulation schemes are presented. Some directions for further investigations in this field are given, as well.