http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/186 2026-04-15T05:42:43Z 2026-04-15T05:42:43Z Yusubov, Araz http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1482 2025-09-26T05:07:17Z

The Official IOI Website: The Good, the Bad and the Ugly Yusubov, Araz This paper is an extended report from one of the discussion groups at the 35th International Olympiad in Informatics (IOI) in Hungary. It looks back at the evolution of the official IOI website, provides an overview of the current web resources and reflection on their strengths and weaknesses. The report also proposes short-term and long-term suggestions for further development of the IOI web services.

Aliyev, Yagub http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1479 2025-09-23T06:53:58Z

Apollonius Problem and Caustics of an Ellipsoid Aliyev, Yagub In the paper we discuss the Apollonius Problem on the number of normals of an ellipse passing through a given point. It is known that the number is dependent on the position of the given point with respect to a certain astroida. The intersection points of the astroida and the ellipse are used to study the case when the given point is on the ellipse. The problem is then generalized for 3- dimensional space, namely for ellipsoids. The number of concurrent normals in this case is known to be dependent on the position of the given point with respect to the caustics of the ellipsoid. If the given point is on the ellipsoid then the number of normals dependends on the position of the point with respect to the intersections of the ellipsoid with its caustics. The main motivation of this paper is to find parametrizations and classify all possible cases of these intersections.

Ramazanli, Burcu Yagmur, Oyku Sarioglu, Efe Cesur Salman, Huseyin Enes http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1477 2025-09-23T05:52:56Z

Modeling Techniques and Boundary Conditions in Abdominal Aortic Aneurysm Analysis: Latest Developments in Simulation and Integration of Machine Learning and Data-Driven Approaches Ramazanli, Burcu; Yagmur, Oyku; Sarioglu, Efe Cesur; Salman, Huseyin Enes Research on abdominal aortic aneurysms (AAAs) primarily focuses on developing a clear understanding of the initiation, progression, and treatment of AAA through improved model accuracy. High-fidelity hemodynamic and biomechanical predictions are essential for clinicians to optimize preoperative planning and minimize therapeutic risks. Computational fluid dynamics (CFDs), finite element analysis (FEA), and fluid-structure interaction (FSI) are widely used to simulate AAA hemodynamics and biomechanics. However, the accuracy of these simulations depends on the utilization of realistic and sophisticated boundary conditions (BCs), which are essential for properly integrating the AAA with the rest of the cardiovascular system. Recent advances in machine learning (ML) techniques have introduced faster, data-driven surrogates for AAA modeling. These approaches can accelerate segmentation, predict hemodynamics and biomechanics, and assess disease progression. However, their reliability depends on high-quality training data derived from CFDs and FEA simulations, where BC modeling plays a crucial role. Accurate BCs can enhance ML predictions, increasing the clinical applicability. This paper reviews existing BC models, discussing their limitations and technical challenges. Additionally, recent advancements in ML and data-driven techniques are explored, discussing their current states, future directions, common algorithms, and limitations.

Aliyev, Yagub http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1428 2025-07-14T12:28:00Z

Necessary and Sufficient Conditions for Basis Properties of the System of Root Functions of Sturm-Liouville Boundary Value Problems with Eigenparameter Dependent Boundary Conditions Aliyev, Yagub In this study, Sturm-Liouville problems with a boundary condition depending quadratically on an eigenparameter are considered. The necessary and sufficient conditions for minimality and completeness of the chosen system of root functions of the corresponding operator are given in two forms, one of which can be done by direct computations. This computationally simpler way was discussed in the literature for the affine case. But for the quadratic case it was done for a similar boundary value problem only recently. The aim of the present paper is to fill this gap for the quadratic case.

Aliyev, Yagub http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1427 2025-07-14T12:19:15Z

Mathematical Reflections: Two Special Years Aliyev, Yagub Inspired by appreciative and constructive feedback from our faithful readers, I present Mathematical Reflections: two special years, a compilation and revision of the 2014 and 2015 volumes from the online journal of the same name. Since its inception in January 2006, the journal has attracted readers and contributors from all over the world. It successfully brings together enthusiasts with di↵erent mathematical and cultural backgrounds for the common purpose of making mathematics even more elegant and exciting. The journal publishes six issues each year. This book is aimed at high school students, participants in math competitions, undergraduates, and anyone who has a passion for mathematics. Many of the problems, solutions, and articles were submitted by passionate readers, and they all require creativity, experience, and comprehensive mathematical knowledge. In publishing this volume, my e↵orts were especially geared towards correcting and improving on many of the solutions and articles so that audience can enjoy them even more. The articles herein focus on a variety of interesting topics outside of mainstream curriculum. Students can expand their mathematical horizons through material outside the scope of their regular classes. For instructors, the articles provide an intriguing opportunity to move away from a structured curriculum and guide students through to the invaluable moments of discovery. All of the featured problems are original. In order to make the material more accessible to the readers, this book as well as the journal is organized by the mathematical ability required to solve the problems. The junior section presents introductory problems (though they are not necessarily easy). The senior and Olympiad sections are for students preparing for national or international contests such as the United States of America Mathematical Olympiad (USAMO) or the International Mathematical Olympiad (IMO). Lastly, the undergraduate section o↵ers college students a unique opportunity to solve non-routine problems in areas such as linear algebra, calculus, and graph theory. This book could not have seen the light of day without the loyal readers and collaborators of the online journal. I would like to thank them all and express my gratitude for their continuous support. I sincerely hope that others will follow in their footsteps and continue to carry the baton so that the mission of the journal to o↵er the opportunity for mathematics enthusiasts to publish original and interesting work will be fulfilled in future years as well. I would also like to thank Maxim Ignatiuc and Sean Elliott for their help in putting together the material submitted by our contributors. Many thanks to Gabriel Dospinescu for his pertinent observations. And a special thank you to Richard Stong for the many improvements in the manuscript. If you are interested in reading the journal, please visit its website: http://awesomemath.org/mathematical-reflections/. Readers may submit articles, problems, and solutions to reflections@awesomemath.org. Proceeds from the sale of this book will be used to sustain the journal in future years. Enjoy the problems and articles!

Kerimov, Nazim Aliyev, Yagub http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/1426 2025-07-14T10:47:22Z

Minimality Conditions for Sturm-Liouville Problems with a Boundary Condition Depending Affinely or Quadratically on an Eigenparameter Kerimov, Nazim; Aliyev, Yagub In the paper we study Sturm-Liouville problems with a boundary condition depending affinely or quadratically on an eigenparameter. The necessary and sufficient conditions for minimality and completeness of the chosen system of root functions of the corresponding operator were given in two forms, one with the use of special associated functions and another one with the direct use of characteristic functions. This direct method was known for the affine case and was extensively discussed in the literature. The aim of the present paper is to develop this direct method for the quadratic case and to consider the affine and quadratic cases together in a unified way

Rustamov, S. Gasimov, E. Hasanov, R. Jahangirli, S. Mustafayev, E. Usikov, D. http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/382 2022-05-12T11:31:53Z

Speech recognition in flight simulator Rustamov, S.; Gasimov, E.; Hasanov, R.; Jahangirli, S.; Mustafayev, E.; Usikov, D. The article is devoted to the investigation of speech recognition in Flight Simulator cockpit. We have done research and developed software for speech recognition in Flight Simulator with limited vocabulary in C# from scratch. The speech recognition system works in real time and offline mode in Windows platform. We used Mel Frequency Cepstral Coefficients and Linear Predictive Coefficients feature extraction algorithms and trained the system by multilayer artificial neural networks. The User Interface of platform is highly functional and allows users to update system parameters through the interface. Our Speech Recognition system results are compared to the results of Microsoft Speech SDK and received satisfactory achievement.

Rustamov, Samir http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/381 2025-03-14T14:28:35Z

A Hybrid System for Subjectivity Analysis Rustamov, Samir Identification of subjective data from web documents having opinions within are gaining incrementing interest. Opinions are often views formed by individuals about their sentiments, appraisals, or feelings, etc., not necessarily based on fact or knowledge. Identification of subjectivity attempts to recognize if this written piece of work conveys opinions (personal) or a body of objective facts. This analysis has been utilized in many natural language and text mining solutions. With the aim of generating more instructive data, subjectivity detection has been employed as a primary sifting stage in a lot of natural language processing assignments. Through our experimentation we are aiming to work out techniques in order to establish classifiers able to identify subjective expressions from objective ones. By means of language independent feature weighting, in the experiment the sentence-level subjectivity classification is attained. A subjectivity database from the opinions about films of “Rotten Tomatoes” was deployed as an experiment. In the paper, we suggested different structures of hybrid systems based on various supervised machine learning algorithms such as Hidden Markov Model (HMM), Adaptive Neuro-Fuzzy Inference System (ANFIS), and Fuzzy Control System (FCS) which achieved sufficient results. These machine learning methods have been employed for subjectivity analysis individually and our aim is to improve performance of classification by using hybrid systems, which is successfully applied by us in sentiment analysis and natural language call routing problem. Our feature extraction algorithm computes a feature vector using the statistical textual terms frequencies in the corpus not having the use of any lexical knowledge except tokenization. Taking into consideration this fact, the above-mentioned methods may be employed in other languages as these methods do not utilize the lexical, grammatical, and syntactical analysis within the classification process.

Musayev, Akif Madatova, Shahzada Rustamov, Samir http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/376 2022-05-12T10:13:47Z

Evaluation of the impact of the tax legislation reforms on the tax potential by fuzzy inference method Musayev, Akif; Madatova, Shahzada; Rustamov, Samir In the paper the Mamdani-Type Fuzzy inference method is applied for the expert evaluation of the impact of the tax legislation reforms on the tax potential. The model being investigated includes 4 inputs, 8 IF-THEN rules and a single-output. Triangle, trapezoid, Gaussian and Bell-shaped membership functions are used for the fuzzification of input data and output of the system is evaluated by Gaussian curve membership function. For the investigated year the laws made reforms in the Azerbaijan tax legislation are classified and evaluated on the base of fuzzy inference system.

Valizada, Alakbar Akhundova, Natavan Rustamov, Samir http://dspace.ada.edu.az:80/xmlui/handle/20.500.12181/374 2022-05-12T09:32:59Z

Development of Speech Recognition Systems in Emergency Call Centers Valizada, Alakbar; Akhundova, Natavan; Rustamov, Samir In this paper, various methodologies of acoustic and language models, as well as labeling methods for automatic speech recognition for spoken dialogues in emergency call centers were investigated and comparatively analyzed. Because of the fact that dialogue speech in call centers has specific context and noisy, emotional environments, available speech recognition systems show poor performance. Therefore, in order to accurately recognize dialogue speeches, the main modules of speech recognition systems—language models and acoustic training methodologies—as well as symmetric data labeling approaches have been investigated and analyzed. To find an effective acoustic model for dialogue data, different types of Gaussian Mixture Model/Hidden Markov Model (GMM/HMM) and Deep Neural Network/Hidden Markov Model (DNN/HMM) methodologies were trained and compared. Additionally, effective language models for dialogue systems were defined based on extrinsic and intrinsic methods. Lastly, our suggested data labeling approaches with spelling correction are compared with common labeling methods resulting in outperforming the other methods with a notable percentage. Based on the results of the experiments, we determined that DNN/HMM for an acoustic model, trigram with Kneser–Ney discounting for a language model and using spelling correction before training data for a labeling method are effective configurations for dialogue speech recognition in emergency call centers. It should be noted that this research was conducted with two different types of datasets collected from emergency calls: the Dialogue dataset (27 h), which encapsulates call agents’ speech, and the Summary dataset (53 h), which contains voiced summaries of those dialogues describing emergency cases. Even though the speech taken from the emergency call center is in the Azerbaijani language, which belongs to the Turkic group of languages, our approaches are not tightly connected to specific language features. Hence, it is anticipated that suggested approaches can be applied to the other languages of the same group.