Vol. 1 No. 1 (2023)

Open Access

Editorial

Article ID: 291

Launch of a new journal on applied mathematics: Editorial review on Vol. 1 No. 1

by Ahmed Zeeshan

Journal of AppliedMath, Vol.1, No.1, 2023;

The charm of applied mathematics resides in its powerful ability to resolve issues across a wide range of fields. Nowadays, all industries are currently experiencing growth, but in parallel, corresponding issues develop and wait to be resolved. Thus, applied mathematics begins to exert its effectiveness. We launched Journal of AppliedMath, a new international peer-reviewed journal focusing on the application of mathematical concepts and methods to various fields. Thanks to the contributions of all the authors and with the support of our Editorial Board and editorial staff, we successfully published the first issue of this journal.

Open Access

Article

Article ID: 85

Statistical analysis of a Tagore song based on Raga Kafi

by Soubhik Chakraborty, Prerna Singh

Journal of AppliedMath, Vol.1, No.1, 2023;

Rabindra Sangeet or Tagore songs encompass a wide variety of human emotions. Most of these songs are based on Hindustani ragas. Kafi is a joyful raga and therefore could be helpful to combat stress. We are motivated to analyse a popular Tagore song, namely, Momo Chitte, which is based on this raga. Statistical analysis compares two phases of 30 s each of a vocal recording of this song. Several statistical features are considered including note duration, inter onset interval, rate of change of pitch, statistical parameterization of melody and rhythm in addition to analysis of spectrogram and pitch profile. The experimental results are encouraging.

Open Access

Article

Article ID: 68

Towards a solution to the problem of safety management of structurally complex systems

by Alexander V. Bochkov

Journal of AppliedMath, Vol.1, No.1, 2023;

The non-isolation of modern, structurally complex, multi-purpose systems implies not only their interaction with the external environment, but also the impact of this environment on the systems themselves. The ability to predict and assess the consequences of these impacts, which are characterised by great uncertainty about the time, place and method of implementation, as well as the choice of a particular object of influence, is a task of extreme urgency in today’s globalised world. If the stability of functioning of any structurally complex system is understood as the achievement by it of the purpose of its functioning with acceptable deviations on the volumes and times of implementation of private tasks, the safety management in this system is reduced, in fact, to minimisation of unplanned losses at the occurrence of abnormal situations of various kinds and to carrying out of measures for their prevention. The success of such tactics depends largely on the effectiveness of the risk management system, on the ability of decision-makers to foresee the possibility of poorly formalised threats turning into significant risks, i.e., on having methods and tools for ranking threats and significant risk factors. Inevitably, there is the task of setting protection priorities, ranking objectives (usually of different types), problems and threats, and reallocating available (usually limited) resources. The article considers the issues involved in building an integral security model that takes into account the risks to the assets being protected.

Open Access

Article

Article ID: 143

Impact of Hindustani ragas in stress management: A statistical study

by Soubhik Chakraborty, Avinav Prasad, Apoorva Chakraborty, Prerna Singh

Journal of AppliedMath, Vol.1, No.1, 2023;

This work is a part of our ongoing research project entitled Hindustani Raga Analysis Using Statistical Musicology with Therapeutic Applications for Stress Management. Using the perceived stress scale (PSS), baseline data were collected on 28 participants, 14 for the control group (non-music intervention group) and the remaining 14 for the case group (music intervention group), the allotment of a participant to one of the groups being done using randomized control trial (RCT) to prevent bias in allocation. After 5 music therapy sessions, the follow-up data were collected and the scores (0, 1, 2, 3, 4) were filled for the 10 questions in the questionnaire of the PSS scale. The rating is 0–13 implying low stress, 14–26 implying moderate stress and 27–40 implying high stress. As per the PSS rule, those having stress levels below 13 were dropped from the study. Thus, the actual number of participants in both groups would be less than those interviewed (sample size n = 7 for each group). Using paired t test, it is found that the case group participants have shown considerable improvement in comparison to the control group. Thus, the efficacy of music intervention in combatting stress is established.

Open Access

Article

Article ID: 95

Conservation laws, exact solutions and nonlinear dispersion: A lie symmetry approach

by Adnan Shamaoon, Zartab Ali, Qaisar Maqbool

Journal of AppliedMath, Vol.1, No.1, 2023;

In this study, we investigated a set of equations that exhibit compact solutions and nonlinear dispersion. We used the classical lie symmetry approach to derive ordinary differential equations (ODEs) that are well suited for qualitative study. By examining the dynamic behavior of these ODEs, we gained insights into the intricate nature of the underlying system. We also used a powerful multiplier approach to establish nontrivial conservation laws and exact solutions for these equations. These conservation laws provide essential information regarding the underlying symmetries and invariants of the system, and shed light on its fundamental properties.

Open Access

Communication

Article ID: 42

Novel learning for control of nonlinear spacecraft dynamics

by Bo-Ruei Huang, Timothy Sands

Journal of AppliedMath, Vol.1, No.1, 2023;

With accurate dynamic system parameters (embodied in self-awareness statements), a controller can provide precise signals for tracking desired state trajectories. If dynamic system parameters are initially guessed inaccurately, a learning method may be used to find the accurate parameters. In the deterministic artificial intelligence method, self-awareness statements are formed as mathematical expressions of the governing physics. When the nonlinear, coupled expressions are precisely parameterized as the product of known matrix components and unknown vectrix (i.e., an intermediate between a dyadic and a matrix in regression form) tracking errors may be projected onto the known matrix to update the unknown vectrix in an optimal form (in a two-norm sense). In this work, a modified learning method is proposed and proved to have global convergence of both state error and parameter estimation error. The modified learning method is compared with those in the prequels using simulation experiments of three-dimensional rigid body dynamic rotation motion. The achieved state error convergence using the modified approach is two magnitudes better than using the methods in the prequels.

Open Access

Perspective

Article ID: 125

Sustainable information into portfolio optimization models

by Gabriele Sbaiz

Journal of AppliedMath, Vol.1, No.1, 2023;

In the last fifteen years, extreme events such as the global financial and economic crisis of 2007–2008 and the Covid-19 pandemic have highlighted the importance of corporate social responsibility and sustainability in different aspects of our society. The environmental, social, and governance (ESG) disclosures have also gained increasing significance for investors due to initiatives undertaken by international bodies. In particular, with the Action Plan in 2018, the European Commission has assigned specific responsibilities to financial intermediaries to drive flows toward sustainable investments, explicitly requiring portfolio managers to integrate these non-financial factors into their decision-making processes. More and more, asset management firms and insurance companies offer tailored products to meet their customers’ sustainable needs and desires. This trend implies a growing recognition of sustainable practices in the financial sector, emphasized by the need to integrate ESG considerations in investment strategies.