Abstract. The mathematical model of the mutual synchronization system with complete graph structure, composed of n (n ∈ N) oscillators, is investigated. This mathematical model is defined by the matrix differential equation with delayed argument. The solution of the matrix differential equation with delayed argument is obtained by applying the Lambert W function method. On the base of this solu...

Electromyography is a very useful technique for a number of clinical and research applications in physiology and other life science applications. We have adapted this technique as a student exercise to explore important aspects of postural control. With minimal effort and some mathematical calculations this student friendly technique efficiently demonstrates the interaction of anticipatory, or ...

The paper presents the measurements that the author has done in the South West area of Romania for the 220 kV double circuit overhead power lines having a passive circuit and an active one. It also describes a mathematical simulation for determining the induced voltages by the active circuit into the disconnected one. The measurements are compared with those obtained through calculations in ord...

Mathematical modeling methods are powerful tools in the design of various types nanosystems and analysis processes taking place them. Note that main tasks mathematical nanoscale systems are: formation nanoelements, interaction individual elements nanosystem, determination structure isolated nanosystem dynamic states, calculation parameters during its with environment, macro nanosystem. With thi...

This paper discusses a statistical approach to static timing analysis. Delays of gates and wires are modeled by stochastic values instead of the triple best case, typical and worst case delay. This has the advantage of avoiding the overly pessimistic (optimistic) outcome of traditional worst (best) case calculations. The paper proposes a new approximate scheme to perform the delay calculations ...

Mathematical model for hit phenomena in entertainments in the society is presented as stochastic process of interactions of human dynamics. The model use only the time distribution of advertisement budget as input and the words of mouth (WOM) as posting in the social network system is used as the data to compare with the calculated results. The unit of time is daily. The WOM distribution in tim...

A convenient and physically sound mathematical model of the external or I − V characteristic of solar cells generators is presented in this paper. This model is compared with the traditional model of p−n junction. The direct analytical calculation of load regime leads to a quadratic equation, which is importantly to simplify the calculations in the real time.

This article documents the free computer algebra system “gTybalt”. The program is build on top of other packages, among others GiNaC, TeXmacs and Root. It offers the possibility of interactive symbolic calculations within the C++ programming language. Mathematical formulae are visualized using TeX fonts.

Rudimentary mathematical analysis of simple network models suggests bandwidth-independent saturation of network growth dynamics, as well as hints at linear decrease in information density of the data. However it strongly confirms Metcalfe’s law as a measure of network utility and suggests it can play an important role in network calculations.

To learn quantum mechanics, one must become adept in the use of various mathematical structures that make up the theory; one must also become familiar with some basic laboratory experiments that the theory is designed to explain. The laboratory ideas are naturally expressed in one language, and the theoretical ideas in another. We present a method for learning quantum mechanics that begins with...