International Journal Of Mathematics And Computer Research http://ijmcr.in/index.php/ijmcr <p>IJMCR is an international journal which provides a plateform to scientist and researchers all over the world for the dissemination of knowledge in computer science , mathematical sciences and related fields. Origional research papers and review articles are invited for publication in the field of Computer science, Software engineering, Programming, Operating system, Memory structure, Compilers, Interpretors, Artificial intelligence, Complexity, Information storage and Retrival, Computer system organization and Communication network, Processor architectures, Image and Speech processing, Pattern recognition and Graphics, Database management, Data structure, Applications, Information system, Internet, Multimedia Information system, User Interface, Human Computer Interface, Computing methodologies, Automation, Robotics and related fields. Similarly, origional research papers and review articles of Pure mathematics, Applied mathematics, Mathematical sciences and related fields can also be considered for the publication in the journal.</p> ijmcr en-US International Journal Of Mathematics And Computer Research 2320-7167 <p>All Content should be original and unpublished.</p> Virtual Mouse with Integrated Chatbot http://ijmcr.in/index.php/ijmcr/article/view/717 <p>Notably, the research addresses challenges in achieving precision and user adaptability within Virtual Gesture Systems. Employing a systematic methodology, the study utilizes cutting-edge hardware and software to capture and analyze data related to hand motion. Additionally, this research integrates a voice assistant-based chatbot with limited functions, expanding the scope of interaction possibilities. The results offer a comprehensive evaluation of the combined Virtual Gesture System and voice-assisted chatbot. This evaluation includes a comparative analysis of accuracy, efficiency, and user satisfaction against existing systems in the field.</p> <p>The ensuing discussion interprets the findings, addressing initial research questions and outlining implications for future development. The integration of a voice assistant-based chatbot enhances the versatility of the system, opening avenues for streamlined and user-friendly interactions. Despite inherent limitations, this research significantly contributes to the understanding of Virtual Gesture Systems, presenting a novel approach to human-computer interaction across diverse domains.</p> Vaibhavi Shinde Rahin Shaikh Ayush Athare ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-04-03 2024-04-03 12 4 4119 4123 10.47191/ijmcr/v12i4.01 Soil Health Analysis and Classification of Micronutrients for Crop Suggestion Using Machine Learning http://ijmcr.in/index.php/ijmcr/article/view/727 <p>An essential component of agriculture is soil. Many types of soil exists. Different parameters can be observed in each type of soil, and various crops can be grown on different types of soils. To understand which crops develop in certain types of soil, they need to be informed on the characteristics and features of various soil types. The capability to identify the inputs needed for productive and cost-effective farming was provided by soil analysis. A proper soil test will ensure that the proper amount of fertilizers are utilized, providing the crop to meet its needs while also profiting from the nutrients already available in the soil. The phrase "soil health" refers to the biological, chemical, and physical elements of the soil that are significant for plant nutrients. Soil analysis is a collection of different chemical processes that determines the amounts of available plant nutrients in the soil. The most important factors for producing a healthy crop are micronutrient analysis. The classification of soil's micronutrients is the primary objective of this analysis. In this case, machine learning methods may be helpful. It has made significant progress in recent years. Hence in this analysis, soil health analysis and classification of Micronutrients for crop suggestion using Machine Learning is presented. The coloured images of the soil samples are obtained and processed using a number of algorithms and filters. Color, texture, and other features can be extracted using these developed algorithms. Logistic Regression algorithm is used to classify micronutrients.</p> Vadivelan N. Dr. Krishna Prasad K. ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-04-04 2024-04-04 12 4 4124 4130 10.47191/ijmcr/v12i4.02 Availability Evaluation of Warm Standby System with Fault Detection Delay and General Repair Times http://ijmcr.in/index.php/ijmcr/article/view/729 <p>This study analyzed the availability of a warm standby system that works with fault detection delay and general repair times. The time-to-detection delay is also considered as exponentially distributed. The detection state is used to detect the faults in the failed unit. The steady state availability of the system is obtained by using supplementary variable technique. Three types of repair time distributions are compared to find the best one.</p> Kanta . Sanjay Chaudhary ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-04-05 2024-04-05 12 4 4131 4138 10.47191/ijmcr/v12i4.03 On Alpha and Gamma Gourava Indices http://ijmcr.in/index.php/ijmcr/article/view/730 <p>In this paper, we introduce the alpha Gourava and gamma Gourava indices of a graph. Also we compute the alpha and gamma Gourava indices of some standard graphs, armchair polyhex nanotubes and zigzag polyhex nanotubes.</p> V. R. Kulli ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-04-11 2024-04-11 12 4 4139 4144 10.47191/ijmcr/v12i4.04 Characterization of PSU (3, q) by its order and one special conjugacy class size http://ijmcr.in/index.php/ijmcr/article/view/722 <p><strong>Abstract</strong>.</p> <p>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp; Suppose that <em>G </em>be a finite group, and let <em>N </em>(<em>G</em>)</p> <p>be the set of conjugacy class sizes of <em>G</em>.&nbsp; By Thompson’s conjecture, if <em>H </em>is a finite non abelian simple group, <em>G </em>is a finite group with a trivial center, and <em>N </em>(<em>G</em>) = <em>N </em>(<em>H</em>), then <em>H </em>and <em>G&nbsp; </em>are&nbsp; isomorphic. Chen et al. contributed interestingly to Thompsons conjecture under a weak condition. In this article, we investigate validity of Thompsons conjecture under a weak condition for the projective special unitary groups. This work implies that Thompsons conjecture holds for the <em>PSU </em>(3<em>, q</em>), where <em>q </em>is prime power.</p> Soleyman Askary ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2024-04-19 2024-04-19 12 4 4145 4149 10.47191/ijmcr/v12i4.05